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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze159.0ms (0.9%)

Memory

14.3MiB live, 327.2MiB 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
9.4%	4.7%	45.2%	0.1%	0%	49.9%	0%	7
17.2%	8.6%	41.3%	0.1%	0%	49.9%	0%	8
27.3%	13.7%	36.3%	0.1%	0%	49.9%	0%	9
41%	20.5%	29.4%	0.1%	0%	49.9%	0%	10
48.6%	24.3%	25.6%	0.1%	0%	49.9%	0%	11
57.1%	28.5%	21.4%	0.1%	0%	49.9%	0%	12

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.9s (10.7%)

Memory

36.0MiB live, 1 772.6MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 301.0ms (28% of total)

ival-log: 282.0ms (26.2% of total)

ival-hypot: 156.0ms (14.5% of total)

ival-sub: 104.0ms (9.7% of total)

ival-atan2: 104.0ms (9.7% of total)

ival-add: 64.0ms (5.9% of total)

ival-div: 48.0ms (4.5% of total)

ival-true: 7.0ms (0.7% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

explain388.0ms (2.2%)

Memory

-10.8MiB live, 436.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
119	0	-	0	-	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
2	1	(4.3108948324650144e+297 1.9642659830423591e-28 2.2054062975375272e-237)	2	(1.5675029250491452e+90 -2.981421083725163e-229 3.088835340478744e-220)	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	0	-	0	-	`(log.f64 base)`
0	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	-	0	-	`(*.f64 re re)`
0	0	-	0	-	`(atan2.f64 im re)`
0	0	-	0	-	`im`
0	0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	0	-	0	-	`re`
0	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	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	0	-	0	-	`#s(literal 0 binary64)`
0	0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	0	-	0	-	`(*.f64 im im)`
0	0	-	0	-	`base`
0	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	102	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	102
↳	`(*.f64 re re)`	overflow	64
↳	`(*.f64 im im)`	overflow	53
`*.f64`	`(*.f64 (atan2.f64 im re) (log.f64 base))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	102	17
-	0	137

Precision

1.0

Recall

0.8571428571428571

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	102	0	17
-	0	0	137

Precision?

1.0

Recall?

0.8571428571428571

Freqs

test

number	freq
0	154
1	101
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

113.0ms

512×

valid

Compiler

Compiled 273 to 58 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 54.0ms (59.7% of total)

ival-log: 13.0ms (14.4% of total)

ival-hypot: 8.0ms (8.8% of total)

ival-add: 5.0ms (5.5% of total)

ival-atan2: 4.0ms (4.4% of total)

ival-div: 3.0ms (3.3% of total)

ival-sub: 2.0ms (2.2% of total)

ival-true: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

preprocess292.0ms (1.7%)

Memory

-0.2MiB live, 388.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 718×	`lower-*.f32`
5 710×	`lower-*.f64`
3 010×	`cube-prod`
2 174×	`lower-/.f32`
2 172×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	139
1	205	121
2	438	78
3	851	63
4	1429	63
5	2476	63
6	3288	63
7	3959	63
8	6114	63
9	7934	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 31 to 18 computations (41.9% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(/.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

▶

53.2%

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

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify294.0ms (1.7%)

Memory

-19.3MiB live, 316.2MiB 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	8064	(.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))))

Rules

5 718×	`lower-*.f32`
5 710×	`lower-*.f64`
3 010×	`cube-prod`
2 174×	`lower-/.f32`
2 172×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	81
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 (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
(.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 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(fma.f64 re re (*.f64 im im))
(*.f64 re re)
(*.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)

localize62.0ms (0.4%)

Memory

-5.8MiB live, 151.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.301445019536884	(/.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	0.3808982832975307	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.5247650390737681	(*.f64 (log.f64 base) (log.f64 base))
accuracy	27.639691956543235	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

39.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 9.0ms (33.8% of total)

ival-log: 6.0ms (22.5% of total)

ival-hypot: 4.0ms (15% of total)

ival-div: 2.0ms (7.5% of total)

ival-add: 2.0ms (7.5% of total)

ival-atan2: 2.0ms (7.5% of total)

ival-sub: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series95.0ms (0.5%)

Memory

10.4MiB live, 242.6MiB 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 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 0 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 0 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 0 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 (/ (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>) () ())) ())
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#s(alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#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 re (taylor inf re) (#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 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#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 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor inf re) (#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 (* 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))))))) (taylor inf re) (#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 re) (taylor -inf re) (#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 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor -inf re) (#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 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) (taylor -inf re) (#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 (* 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)))))))) (taylor -inf re) (#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 re (taylor 0 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 (+ re (* 1/2 (/ (pow im 2) re))) (taylor 0 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 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) (taylor 0 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 (+ 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))))) (taylor 0 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 (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 (* -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 (pow (log base) 2) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 2) (taylor inf base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 2) (taylor inf base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 2) (taylor inf base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 2) (taylor inf base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (taylor -inf base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (taylor -inf base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (taylor -inf base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (taylor -inf 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 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 (* (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 (* (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 (* (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 (* (log base) (atan2 im re)) (taylor 0 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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>) () ())) ())
#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 (* -1 (* (log (/ 1 base)) (atan2 im re))) (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)) (atan2 im re))) (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)) (atan2 im re))) (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)) (atan2 im re))) (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 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)) (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 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)) (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 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)) (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 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)) (taylor -inf base) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())

Calls

42 calls:

Time	Variable		Point	Expression
31.0ms	im	@	0	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
19.0ms	base	@	0	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
14.0ms	base	@	-inf	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
8.0ms	base	@	inf	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
6.0ms	re	@	0	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))

simplify455.0ms (2.6%)

Memory

44.0MiB live, 744.1MiB allocated

Algorithm

1×	egg-herbie

Rules

20 618×	`lower-fma.f64`
20 618×	`lower-fma.f32`
5 116×	`lower-*.f64`
5 116×	`lower-*.f32`
2 342×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1220
1	313	1204
2	988	1202
3	3537	1166
4	6683	1166
0	8322	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))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))

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

rewrite413.0ms (2.3%)

Memory

32.2MiB live, 683.1MiB allocated

Rules

5 482×	`lower-fma.f64`
5 482×	`lower-fma.f32`
4 232×	`lower-*.f32`
4 224×	`lower-*.f64`
3 170×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	43
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
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (.f64 #s(literal 0 binary64) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(literal 0 binary64) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (atan2.f64 im re) (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (atan2.f64 im re) (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 #s(literal 0 binary64) (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (log.f64 base) (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (log.f64 base) (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 #s(literal 0 binary64) (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (.f64 #s(literal 0 binary64) (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 #s(literal 0 binary64) (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 #s(literal 0 binary64) (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
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(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (.f64 (atan2.f64 im re) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(.f64 (/.f64 (log.f64 base) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base)))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (atan2.f64 im re)) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (/.f64 (atan2.f64 im re) (atan2.f64 im re)))
(.f64 (/.f64 (atan2.f64 im re) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base)))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (log.f64 base) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
(.f64 (/.f64 (log.f64 base) #s(literal 1 binary64)) (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (atan2.f64 im re)))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (atan2.f64 im re)))
(.f64 (/.f64 (atan2.f64 im re) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
(.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (log.f64 base) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base)))) (/.f64 (log.f64 base) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base)))) (/.f64 (atan2.f64 im re) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base))) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (log.f64 base))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (atan2.f64 im re))
(.f64 (.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))) (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 6 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 4 binary64)))

eval254.0ms (1.4%)

Memory: 30.5MiB live, 519.6MiB allocated
Compiler: Compiled 56 579 to 3 424 computations (93.9% saved)

prune684.0ms (3.9%)

Memory

-77.7MiB live, 719.8MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	1 708	22	1 730
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 709	22	1 731

Accuracy

100.0%

Counts

1 731 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	87.8%	(/.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	87.0%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (.f64 (atan2.f64 im re) (log.f64 base)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	87.2%	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
	86.4%	(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	87.8%	(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) #s(literal 1 binary64))) (log.f64 base))
	99.0%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.0%	(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.0%	(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.2%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	99.1%	(.f64 (.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (log.f64 base))
	50.4%	(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal -1 binary64)))

Compiler

Compiled 742 to 478 computations (35.6% saved)

simplify380.0ms (2.2%)

Memory

-11.1MiB live, 425.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
cost-diff	320	(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
cost-diff	20352	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
cost-diff	0	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -4 binary64))
cost-diff	19264	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
cost-diff	0	(*.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	12800	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	320	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))

Rules

8 742×	`lower-*.f32`
8 728×	`lower-*.f64`
4 440×	`cube-prod`
4 212×	`lower-/.f32`
4 206×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	158
0	40	133
1	63	131
2	115	131
3	343	131
4	771	131
5	1141	131
6	1644	131
7	2141	131
8	2982	131
9	3431	131
10	3820	131
11	4173	131
12	4312	131
13	4358	131
14	5780	131
15	6027	131
16	6081	131
17	6359	131
18	6673	131
19	7004	131
20	7400	131
21	7760	131
22	7899	131
23	7948	131
24	7964	131
0	9330	131

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 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
(log.f64 base)
base
#s(literal -4 binary64)
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal 2 binary64)
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#s(literal 1 binary64)

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (atan2.f64 im re) (/.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) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
(log.f64 base)
base
#s(literal -4 binary64)
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal 2 binary64)
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#s(literal 1 binary64)

localize86.0ms (0.5%)

Memory

14.5MiB live, 171.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3203125	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.36947250976844204	(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
accuracy	0.43978500976844204	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
accuracy	7.843149455204339	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
accuracy	0.31869125976844204	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
accuracy	0.5705872622822722	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
accuracy	0.7322427246741666	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.8896092895796393	(pow.f64 (log.f64 base) #s(literal -4 binary64))
accuracy	0	(log.f64 base)
accuracy	0.2890625	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
accuracy	0.3808982832975307	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.5182800781475361	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.21875	(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy	0.3483200195368841	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.3203125	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

55.0ms

256×

valid

Compiler

Compiled 160 to 26 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-pow: 11.0ms (30.4% of total)

ival-mult: 10.0ms (27.6% of total)

ival-div: 5.0ms (13.8% of total)

ival-atan2: 5.0ms (13.8% of total)

ival-log: 3.0ms (8.3% of total)

ival-pow2: 2.0ms (5.5% of total)

exact: 1.0ms (2.8% of total)

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

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

series35.0ms (0.2%)

Memory

-17.8MiB live, 57.7MiB allocated

Counts

15 → 408

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 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))) (patch (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (log.f64 base)) (patch (/.f64 #s(literal 1 binary64) (log.f64 base)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (patch (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (patch (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (atan2 im re) (log base)) (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 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 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 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 (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) (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) (log base)) (taylor 0 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 re) (#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 (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 (/ (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 (/ (atan2 im re) (+ (log -1) (* -1 (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 (/ (atan2 im re) (+ (log -1) (* -1 (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 (/ (atan2 im re) (+ (log -1) (* -1 (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 (/ (atan2 im re) (+ (log -1) (* -1 (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 (atan2 im re) (taylor 0 im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 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) (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>) () ())) ())
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#s(alt (/ (pow (atan2 im re) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)) (taylor -inf base) (#s(alt (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 3) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 3) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 3) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 3) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 base)) 3)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 base)) 3)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 base)) 3)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 base)) 3)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

102 calls:

Time	Variable		Point	Expression
4.0ms	base	@	0	(pow (log base) -4)
1.0ms	base	@	-inf	(pow (log base) -4)
1.0ms	im	@	0	(pow (/ (atan2 im re) (log base)) 2)
1.0ms	re	@	inf	(pow (/ (atan2 im re) (log base)) 2)
1.0ms	im	@	-inf	(pow (/ (atan2 im re) (log base)) 2)

simplify266.0ms (1.5%)

Memory

9.6MiB live, 451.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 316×	`lower-fma.f64`
9 316×	`lower-fma.f32`
2 668×	`lower-*.f64`
2 668×	`lower-*.f32`
1 740×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	2836
1	96	2780
2	201	2780
3	662	2780
4	1985	2780
5	4628	2780
6	6916	2780
0	8169	2780

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (pow (log base) 4))
(/ 1 (pow (log base) 4))
(/ 1 (pow (log base) 4))
(/ 1 (pow (log base) 4))
(/ 1 (pow (log (/ 1 base)) 4))
(/ 1 (pow (log (/ 1 base)) 4))
(/ 1 (pow (log (/ 1 base)) 4))
(/ 1 (pow (log (/ 1 base)) 4))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 3) (atan2 im re))
(* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))
(* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))
(* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))
(* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (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))
(/ (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))
(/ (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))
(/ (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))
(/ (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))
(/ (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))
(/ (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))
(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
(/ (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))
(/ (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))
(pow (log base) 3)
(pow (log base) 3)
(pow (log base) 3)
(pow (log base) 3)
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (pow (log (/ 1 base)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)

Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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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))
(/.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)))
(/ (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 (/ 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)))
(/ (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)))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))

rewrite148.0ms (0.8%)

Memory

-0.4MiB live, 239.2MiB allocated

Rules

1 730×	`lower-*.f32`
1 716×	`lower-*.f64`
1 480×	`frac-times`
1 102×	`lower-/.f32`
1 096×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	106
0	40	79
1	102	79
2	403	79
0	3370	79

Stop Event

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

Counts

15 → 1 395

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
(log.f64 base)
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(*.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 3 binary64))

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

eval295.0ms (1.7%)

Memory: 44.9MiB live, 501.8MiB allocated
Compiler: Compiled 39 979 to 2 105 computations (94.7% saved)

prune263.0ms (1.5%)

Memory

-53.2MiB live, 395.5MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	2 432	18	2 450
Fresh	12	5	17
Picked	1	4	5
Done	0	0	0
Total	2 445	27	2 472

Accuracy

100.0%

Counts

2 472 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	52.2%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
▶	88.1%	(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	28.0%	(/.f64 (exp.f64 (log.f64 (neg.f64 (atan2.f64 im re)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base)))))
	88.0%	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))))
▶	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.0%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	99.3%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
▶	56.3%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	52.6%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	99.3%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
▶	52.2%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 base)))))
	99.3%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
	52.2%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	87.6%	(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.0%	(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (atan2.f64 im re) (log.f64 base)))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	53.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 708 to 492 computations (30.5% saved)

simplify248.0ms (1.4%)

Memory

5.7MiB live, 240.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
cost-diff	13632	(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
cost-diff	0	(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 base))))
cost-diff	0	(atan2.f64 im re)
cost-diff	320	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 base)))))
cost-diff	12800	(exp.f64 (log.f64 (log.f64 base)))
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))

Rules

4 552×	`lower-*.f32`
4 548×	`lower-*.f64`
2 448×	`lower-fma.f64`
2 448×	`lower-fma.f32`
1 814×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	150
0	42	122
1	64	122
2	100	122
3	246	122
4	668	122
5	1922	122
6	3400	122
7	5089	122
8	6049	122
9	7151	122
10	7992	122
0	8090	122

Stop Event

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

Calls

Call 1

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

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

localize156.0ms (0.9%)

Memory

-44.1MiB live, 127.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 base)
accuracy	0.0703125	(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
accuracy	0.201503759768442	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
accuracy	4.65158343045585	(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
accuracy	0.03515625	(log.f64 (log.f64 base))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 base))))
accuracy	0.18587875976844204	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 base)))))
accuracy	0.6327806511560257	(exp.f64 (log.f64 (log.f64 base)))
accuracy	0	(log.f64 base)
accuracy	0.09765625	(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
accuracy	0.18587875976844204	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
accuracy	0.27248002930532605	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.1875	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.24418596140231272	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0	(/.f64 #s(literal 1 binary64) base)
accuracy	0	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))
accuracy	0.19140625	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))))

Samples

73.0ms	136×	0	valid
28.0ms	120×	0	invalid

Compiler

Compiled 152 to 26 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-div: 53.0ms (65.8% of total)

ival-log: 8.0ms (9.9% of total)

ival-pow2: 5.0ms (6.2% of total)

ival-pow: 5.0ms (6.2% of total)

ival-mult: 3.0ms (3.7% of total)

ival-atan2: 3.0ms (3.7% of total)

ival-exp: 2.0ms (2.5% of total)

exact: 1.0ms (1.2% of total)

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

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

series88.0ms (0.5%)

Memory

44.2MiB live, 155.4MiB allocated

Counts

18 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
36.0ms	base	@	0	(log (log base))
18.0ms	base	@	-inf	(log (log base))
17.0ms	base	@	inf	(log (log base))
1.0ms	base	@	-inf	(/ (pow (atan2 im re) 2) (log base))
1.0ms	base	@	0	(pow (pow (log base) 2) -1/2)

simplify170.0ms (1%)

Memory

-16.1MiB live, 221.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 136×	`lower-fma.f64`
2 136×	`lower-fma.f32`
888×	`lower-*.f64`
888×	`lower-*.f32`
466×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	2412
1	61	2356
2	105	2356
3	259	2356
4	807	2356
5	1855	2356
6	2536	2356
7	3304	2356
8	3710	2356
9	3750	2356
10	3755	2356
11	3755	2356
12	3805	2356
13	3823	2356
0	3823	2356

Stop Event

1×	iter limit
1×	saturated

Counts

408 → 396

Calls

Call 1

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

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

rewrite251.0ms (1.4%)

Memory

6.3MiB live, 364.6MiB allocated

Rules

1 882×	`lower-*.f32`
1 880×	`lower-*.f64`
1 814×	`lower-fma.f64`
1 814×	`lower-fma.f32`
1 572×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	111
0	42	75
1	136	75
2	494	75
3	2783	75
0	8653	75

Stop Event

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

Counts

18 → 1 929

Calls

Call 1

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

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

eval431.0ms (2.4%)

Memory: 35.4MiB live, 835.2MiB allocated
Compiler: Compiled 46 224 to 4 382 computations (90.5% saved)

prune441.0ms (2.5%)

Memory

26.7MiB live, 780.8MiB allocated

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	2 992	17	3 009
Fresh	13	5	18
Picked	3	2	5
Done	1	3	4
Total	3 009	27	3 036

Accuracy

100.0%

Counts

3 036 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	50.4%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
	88.2%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
	52.6%	(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	52.6%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	87.4%	(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
▶	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	51.2%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))))
	46.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	52.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
	52.4%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
	52.6%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)))
	52.6%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
	52.1%	(*.f64 (atan2.f64 im re) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	52.2%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	99.2%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	52.5%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
▶	53.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 672 to 464 computations (31% saved)

simplify264.0ms (1.5%)

Memory

-44.6MiB live, 325.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff	12800	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
cost-diff	0	(sqrt.f64 (log.f64 base))
cost-diff	0	(/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
cost-diff	8000	(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (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	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(*.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	13184	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))

Rules

6 780×	`lower-*.f32`
6 776×	`lower-*.f64`
2 622×	`unswap-sqr`
1 830×	`cube-prod`
1 590×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	166
0	37	182
1	53	182
2	82	138
3	149	138
4	740	138
5	1908	138
6	2313	138
7	3154	138
8	3562	138
9	4100	138
10	4781	138
11	5635	138
12	5966	138
13	6648	138
0	8133	138

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (0.5%)

Memory

2.7MiB live, 200.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 base)
accuracy	0.109375	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.4251459690505122	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
accuracy	1.2630572138841922	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy	0.01953125	(sqrt.f64 (log.f64 base))
accuracy	0.05078125	(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base)))
accuracy	0.08203125	(/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
accuracy	0.17387346140231272	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
accuracy	0	(log.f64 base)
accuracy	0.109375	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.13119125976844204	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
accuracy	1.293199509202526	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy	0	(log.f64 base)
accuracy	0.03515625	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy	0.109375	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.17387346140231272	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
accuracy	0	(log.f64 base)
accuracy	0.0703125	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.1119461386044992	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.125	(pow.f64 (log.f64 base) #s(literal 2 binary64))

Samples

36.0ms	192×	0	invalid
13.0ms	64×	0	valid

Compiler

Compiled 168 to 23 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 8.0ms (26.3% of total)

ival-log: 6.0ms (19.7% of total)

ival-pow2: 5.0ms (16.4% of total)

ival-mult: 3.0ms (9.9% of total)

ival-sqrt: 3.0ms (9.9% of total)

ival-exp: 2.0ms (6.6% of total)

ival-atan2: 2.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

series274.0ms (1.6%)

Memory

50.7MiB live, 433.8MiB allocated

Counts

16 → 492

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
66.0ms	im	@	-inf	(log (/ (atan2 im re) (log base)))
50.0ms	re	@	-inf	(log (/ (atan2 im re) (log base)))
40.0ms	re	@	inf	(log (/ (atan2 im re) (log base)))
27.0ms	base	@	inf	(log (/ (atan2 im re) (log base)))
22.0ms	base	@	-inf	(log (/ (atan2 im re) (log base)))

simplify269.0ms (1.5%)

Memory

-26.8MiB live, 255.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2 544×	`lower-fma.f64`
2 544×	`lower-fma.f32`
1 232×	`lower-*.f64`
1 232×	`lower-*.f32`
662×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	3352
1	82	3228
2	134	3228
3	274	3228
4	641	3228
5	1386	3228
6	2333	3228
7	3501	3228
8	3961	3228
9	4024	3228
10	4055	3228
11	4073	3228
12	4082	3228
13	4362	3228
14	4490	3228
15	4491	3228
16	4491	3228
17	4491	3228
18	4491	3228
19	4499	3228
0	4499	3228

Stop Event

1×	iter limit
1×	saturated

Counts

492 → 492

Calls

Call 1

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

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

rewrite7.4s (42.1%)

Memory

41.1MiB live, 260.2MiB allocated

Rules

1 494×	`lower-*.f32`
1 490×	`lower-*.f64`
1 056×	`lower-/.f32`
1 046×	`lower-/.f64`
680×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	115
0	37	121
1	111	117
2	496	87
0	3247	87

Stop Event

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

Counts

16 → 1 397

Calls

Call 1

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

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

eval420.0ms (2.4%)

Memory: -22.6MiB live, 760.2MiB allocated
Compiler: Compiled 39 359 to 3 107 computations (92.1% saved)

prune313.0ms (1.8%)

Memory

-5.8MiB live, 870.5MiB allocated

Pruning

29 alts after pruning (19 fresh and 10 done)

	Pruned	Kept	Total
New	2 757	4	2 761
Fresh	2	15	17
Picked	0	5	5
Done	0	5	5
Total	2 759	29	2 788

Accuracy

100.0%

Counts

2 788 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	88.2%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
	52.6%	(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	52.6%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	87.4%	(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
✓	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.1%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
	51.2%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
	46.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64)))))
✓	52.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
	52.4%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
	52.6%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)))
	52.6%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64)))
	52.6%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
	52.1%	(*.f64 (atan2.f64 im re) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	52.2%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	99.2%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	52.5%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
✓	53.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 1 175 to 452 computations (61.5% saved)

regimes89.0ms (0.5%)

Memory

1.2MiB live, 275.2MiB allocated

Counts

62 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	re
17.0ms	base
17.0ms	(log.f64 base)
17.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
16.0ms	im

Results

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`
99.5%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.5%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes15.0ms (0.1%)

Memory

-8.5MiB live, 41.9MiB allocated

Accuracy

Total -0.4b remaining (-129%)

Threshold costs -0.4b (-129%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	base
2.0ms	(/.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))))
2.0ms	(log.f64 base)
2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`
99.5%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.5%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify5.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	14	16

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness215.0ms (1.2%)

Memory

-19.1MiB live, 216.0MiB allocated

Rules

5 482×	`lower-fma.f64`
5 482×	`lower-fma.f32`
4 232×	`lower-*.f32`
4 224×	`lower-*.f64`
3 170×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	43
1	110	37
2	725	32
3	7038	32
0	8481	27
0	24	106
0	40	79
1	102	79
2	403	79
0	3370	79

Stop Event

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

Compiler

Compiled 100 to 58 computations (42% saved)

preprocess32.0ms (0.2%)

Memory: 24.2MiB live, 103.3MiB allocated
Compiler: Compiled 100 to 58 computations (42% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze159.0ms (0.9%)

sample1.9s (10.7%)

explain388.0ms (2.2%)

preprocess292.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify294.0ms (1.7%)

localize62.0ms (0.4%)

series95.0ms (0.5%)

simplify455.0ms (2.6%)

rewrite413.0ms (2.3%)

eval254.0ms (1.4%)

prune684.0ms (3.9%)

simplify380.0ms (2.2%)

localize86.0ms (0.5%)

series35.0ms (0.2%)

simplify266.0ms (1.5%)

rewrite148.0ms (0.8%)

eval295.0ms (1.7%)

prune263.0ms (1.5%)

simplify248.0ms (1.4%)

localize156.0ms (0.9%)

series88.0ms (0.5%)

simplify170.0ms (1%)

rewrite251.0ms (1.4%)

eval431.0ms (2.4%)

prune441.0ms (2.5%)

simplify264.0ms (1.5%)

localize86.0ms (0.5%)

series274.0ms (1.6%)

simplify269.0ms (1.5%)

rewrite7.4s (42.1%)

eval420.0ms (2.4%)

prune313.0ms (1.8%)

regimes89.0ms (0.5%)

regimes15.0ms (0.1%)

simplify5.0ms (0%)

soundness215.0ms (1.2%)

preprocess32.0ms (0.2%)

end0.0ms (0%)

Profiling