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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze254.0ms (2.9%)

Memory

-16.6MiB live, 217.5MiB 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 (21.2%)

Memory

54.9MiB live, 1 826.0MiB allocated

Samples

1.4s

8 256×

valid

Precisions

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

ival-mult: 320.0ms (29.9% of total)

ival-log: 246.0ms (23% of total)

ival-hypot: 211.0ms (19.7% of total)

ival-atan2: 91.0ms (8.5% of total)

ival-sub: 77.0ms (7.2% of total)

ival-add: 59.0ms (5.5% of total)

ival-div: 50.0ms (4.7% of total)

ival-true: 6.0ms (0.6% of total)

exact: 6.0ms (0.6% of total)

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

Bogosity

explain311.0ms (3.6%)

Memory

-0.2MiB live, 588.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
122	0	-	4	(3.881958890374187e-206 3.2435532153072944e-160 2.4324634521549106e-287)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
1	1	(3.630724521149983e+71 3.12940990380188e-254 2.689507718567475e-190)	1	(5.000401126440539e+116 4.059973159119317e-195 1.7202359694007114e-203)	`(*.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	104	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	104
↳	`(*.f64 re re)`	overflow	57
↳	`(*.f64 im im)`	overflow	64
`*.f64`	`(*.f64 (atan2.f64 im re) (log.f64 base))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	104	14
-	1	137

Precision

0.9904761904761905

Recall

0.8813559322033898

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	104	0	14
-	1	0	137

Precision?

0.9904761904761905

Recall?

0.8813559322033898

Freqs

test

number	freq
0	151
1	105

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 23.0ms (36.3% of total)

ival-log: 13.0ms (20.5% of total)

ival-hypot: 11.0ms (17.3% of total)

ival-atan2: 6.0ms (9.5% of total)

ival-add: 4.0ms (6.3% of total)

ival-div: 3.0ms (4.7% of total)

ival-sub: 2.0ms (3.2% of total)

ival-true: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

preprocess217.0ms (2.5%)

Memory

20.1MiB live, 216.1MiB 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	1417	63
5	2461	63
6	3273	63
7	3944	63
8	6097	63
9	7919	63
0	18	26
0	34	14
1	53	12
2	76	8
3	95	6
4	113	6
5	184	6
6	398	6
7	1265	6
8	1939	6
9	2420	6
10	2992	6
11	3887	6
12	4668	6
13	5681	6
14	6840	6
15	7178	6
16	7385	6
17	7580	6
18	7787	6
0	8595	6

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

53.5%

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify181.0ms (2.1%)

Memory

-6.1MiB live, 150.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	192	(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
cost-diff	320	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff	13184	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
cost-diff	13440	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

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

localize125.0ms (1.4%)

Memory

-10.4MiB live, 133.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3951950195368841	(/.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	0.3985948817227567	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.5075187988422101	(*.f64 (log.f64 base) (log.f64 base))
accuracy	27.852420004601573	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

99.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 7.0ms (24.9% of total)

ival-hypot: 7.0ms (24.9% of total)

ival-log: 6.0ms (21.3% of total)

ival-div: 2.0ms (7.1% of total)

ival-add: 2.0ms (7.1% of total)

ival-atan2: 2.0ms (7.1% of total)

ival-sub: 1.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series160.0ms (1.8%)

Memory

-9.9MiB live, 254.6MiB 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 base) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
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#s(alt (* (log base) (atan2 im re)) (taylor 0 im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt im (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	base	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
37.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
29.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
9.0ms	im	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
7.0ms	base	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))

simplify187.0ms (2.1%)

Memory

17.5MiB live, 321.3MiB 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	985	1202
3	3529	1166
4	6679	1166
0	8317	1132

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

Calls

Call 1

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

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

rewrite408.0ms (4.7%)

Memory

0.2MiB live, 399.7MiB 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 (/.f64 (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 4 binary64)))
(.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 (/.f64 (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)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.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)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(*.f64 (/.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))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.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))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.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 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 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 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(.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 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))))
(.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 (.f64 (log.f64 base) (atan2.f64 im re)) #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 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (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 binary64))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (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 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (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 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
(.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)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) #s(literal -1 binary64)) (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 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (atan2.f64 im re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
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eval359.0ms (4.1%)

Memory: 44.8MiB live, 616.7MiB allocated
Compiler: Compiled 56 241 to 3 448 computations (93.9% saved)

prune79.0ms (0.9%)

Memory

16.0MiB live, 208.3MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	1 710	20	1 730
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 711	20	1 731

Accuracy

100.0%

Counts

1 731 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.0%	(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
	88.4%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	52.9%	(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1/2 binary64)))
	98.8%	(.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))))
	99.0%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	99.3%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
	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 (log.f64 base) (atan2.f64 im re)) (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))))
▶	99.1%	(.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))
▶	99.0%	(.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))

Compiler

Compiled 536 to 420 computations (21.6% saved)

simplify564.0ms (6.5%)

Memory

-141.1MiB live, 177.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
cost-diff	384	(/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
cost-diff	6720	(.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
cost-diff	12800	(.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))
cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
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 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))
cost-diff	12800	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))

Rules

6 894×	`lower-*.f32`
6 882×	`lower-*.f64`
4 268×	`cube-prod`
3 126×	`lower-pow.f32`
3 120×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	166
0	39	133
1	64	133
2	154	133
3	424	133
4	895	133
5	1746	133
6	1964	133
7	2247	133
8	2620	133
9	3103	133
10	3735	133
11	4001	133
12	4194	133
13	4298	133
14	4394	133
15	4529	133
16	5253	133
17	6388	133
18	6850	133
19	7057	133
20	7176	133
21	7281	133
22	7419	133
23	7538	133
24	7639	133
25	7740	133
26	7778	133
27	7786	133
0	8441	133

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (0.9%)

Memory

13.5MiB live, 206.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.30859375	(/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
accuracy	0.3809149254271802	(.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))
accuracy	0.38815929398453647	(.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
accuracy	0.7094689942110507	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.33431625976844204	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
accuracy	0.43773094377217225	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
accuracy	0.7094689942110507	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.899483105643406	(pow.f64 (log.f64 base) #s(literal -4 binary64))
accuracy	0	(log.f64 base)
accuracy	0.359375	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))
accuracy	0.3809149254271802	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
accuracy	0.5293350586106522	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.34375	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.5274670000137225	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.34765625	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

60.0ms

256×

valid

Compiler

Compiled 168 to 25 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 10.0ms (25.9% of total)

ival-pow: 10.0ms (25.9% of total)

ival-div: 8.0ms (20.7% of total)

ival-log: 7.0ms (18.2% of total)

ival-atan2: 3.0ms (7.8% of total)

exact: 1.0ms (2.6% of total)

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

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

series118.0ms (1.4%)

Memory

15.6MiB live, 279.5MiB allocated

Counts

16 → 456

Calls

Call 1

Inputs
#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())
#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) #<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 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) #<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 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (patch (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())
#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (patch (.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (patch (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (patch (.f64 (atan2.f64 im re) #s(literal 1 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 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
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#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 2)) (taylor -inf im) (#s(alt (.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (patch (.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 2)) (taylor -inf im) (#s(alt (.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (patch (.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 2)) (taylor -inf im) (#s(alt (.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (patch (.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 2)) (taylor -inf im) (#s(alt (.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (patch (.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 3)) (taylor -inf im) (#s(alt (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (patch (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 3)) (taylor -inf im) (#s(alt (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (patch (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 3)) (taylor -inf im) (#s(alt (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (patch (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 3)) (taylor -inf im) (#s(alt (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (patch (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (patch (.f64 (atan2.f64 im re) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (patch (.f64 (atan2.f64 im re) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (patch (.f64 (atan2.f64 im re) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (patch (.f64 (atan2.f64 im re) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	base	@	0	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (* (pow (log base) -4) (* (pow (log base) 3) (atan2 im re))) (pow (log base) -4) (* (pow (log base) 3) (atan2 im re)) (* (* (/ (* (atan2 im re) 1) (pow (log base) 3)) (log base)) (log base)) (* (/ (* (atan2 im re) 1) (pow (log base) 3)) (log base)) (/ (* (atan2 im re) 1) (pow (log base) 3)) (* (atan2 im re) 1) (pow (log base) 3))
15.0ms	im	@	0	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (* (pow (log base) -4) (* (pow (log base) 3) (atan2 im re))) (pow (log base) -4) (* (pow (log base) 3) (atan2 im re)) (* (* (/ (* (atan2 im re) 1) (pow (log base) 3)) (log base)) (log base)) (* (/ (* (atan2 im re) 1) (pow (log base) 3)) (log base)) (/ (* (atan2 im re) 1) (pow (log base) 3)) (* (atan2 im re) 1) (pow (log base) 3))
13.0ms	base	@	-inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (* (pow (log base) -4) (* (pow (log base) 3) (atan2 im re))) (pow (log base) -4) (* (pow (log base) 3) (atan2 im re)) (* (* (/ (* (atan2 im re) 1) (pow (log base) 3)) (log base)) (log base)) (* (/ (* (atan2 im re) 1) (pow (log base) 3)) (log base)) (/ (* (atan2 im re) 1) (pow (log base) 3)) (* (atan2 im re) 1) (pow (log base) 3))
11.0ms	im	@	inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (* (pow (log base) -4) (* (pow (log base) 3) (atan2 im re))) (pow (log base) -4) (* (pow (log base) 3) (atan2 im re)) (* (* (/ (* (atan2 im re) 1) (pow (log base) 3)) (log base)) (log base)) (* (/ (* (atan2 im re) 1) (pow (log base) 3)) (log base)) (/ (* (atan2 im re) 1) (pow (log base) 3)) (* (atan2 im re) 1) (pow (log base) 3))
11.0ms	re	@	inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (* (pow (log base) -4) (* (pow (log base) 3) (atan2 im re))) (pow (log base) -4) (* (pow (log base) 3) (atan2 im re)) (* (* (/ (* (atan2 im re) 1) (pow (log base) 3)) (log base)) (log base)) (* (/ (* (atan2 im re) 1) (pow (log base) 3)) (log base)) (/ (* (atan2 im re) 1) (pow (log base) 3)) (* (atan2 im re) 1) (pow (log base) 3))

simplify175.0ms (2%)

Memory

14.9MiB live, 315.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 076×	`lower-fma.f64`
7 076×	`lower-fma.f32`
2 500×	`lower-*.f64`
2 500×	`lower-*.f32`
1 722×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	3148
1	88	3092
2	191	3092
3	672	3092
4	2049	3092
5	5691	3092
0	8091	3092

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

rewrite169.0ms (1.9%)

Memory

36.6MiB live, 345.5MiB allocated

Rules

2 450×	`lower-*.f32`
2 438×	`lower-*.f64`
2 430×	`lower-fma.f64`
2 430×	`lower-fma.f32`
1 962×	`prod-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	39	88
1	105	88
2	404	88
3	2525	88
0	8335	88

Stop Event

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

Counts

16 → 1 779

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (neg.f64 (atan2.f64 im re)))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64)) (atan2.f64 im re))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)) (neg.f64 (atan2.f64 im re)))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
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(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) (atan2.f64 im re)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (neg.f64 (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 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(neg.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64) (neg.f64 (log.f64 (log.f64 base)))) (neg.f64 (log.f64 (atan2.f64 im re)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (neg.f64 (log.f64 (atan2.f64 im re)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 im re)))))
(exp.f64 (-.f64 (*.f64 #s(literal -3 binary64) (log.f64 (log.f64 base))) (neg.f64 (log.f64 (atan2.f64 im re)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (log.f64 (log.f64 base)))) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (-.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (log.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64) (neg.f64 (log.f64 (log.f64 base)))) (log.f64 (atan2.f64 im re))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (log.f64 (atan2.f64 im re))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64) (log.f64 (atan2.f64 im re))))
(exp.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (log.f64 (log.f64 base))))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (+.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (log.f64 (log.f64 base)))) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (+.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(exp.f64 (+.f64 (log.f64 (atan2.f64 im re)) (fma.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64) (neg.f64 (log.f64 (log.f64 base))))))
(exp.f64 (+.f64 (log.f64 (atan2.f64 im re)) (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
(exp.f64 (+.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 (atan2.f64 im re)) (*.f64 #s(literal -3 binary64) (log.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) #s(literal -1 binary64)))
(atan2.f64 im re)
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal -5/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)))
(.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (atan2.f64 im re)))
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (atan2.f64 im re) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) (log.f64 base))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(/.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(/.f64 (atan2.f64 im re) #s(literal 1 binary64))
(neg.f64 (neg.f64 (atan2.f64 im re)))
(-.f64 #s(literal 0 binary64) (neg.f64 (atan2.f64 im re)))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64) (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 9/4 binary64)) (pow.f64 (log.f64 base) #s(literal 3/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (log.f64 base) #s(literal 9 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (pow.f64 (log.f64 base) #s(literal 9/4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))))
(*.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 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (log.f64 base) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 6 binary64))
(pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #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 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 9 binary64)))
(/.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (neg.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))))))
(exp.f64 (-.f64 (log.f64 (log.f64 base)) (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(exp.f64 (neg.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64) (neg.f64 (log.f64 (log.f64 base))))))
(exp.f64 (neg.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (log.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) (log.f64 (log.f64 base))))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))

eval445.0ms (5.1%)

Memory: 12.4MiB live, 1 103.6MiB allocated
Compiler: Compiled 51 094 to 4 335 computations (91.5% saved)

prune233.0ms (2.7%)

Memory

-35.1MiB live, 226.7MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	3 163	16	3 179
Fresh	11	4	15
Picked	2	3	5
Done	0	0	0
Total	3 176	23	3 199

Accuracy

100.0%

Counts

3 199 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
▶	51.6%	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))
	49.1%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	49.1%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
	49.0%	(/.f64 (atan2.f64 im re) (pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 base)) #s(literal 2 binary64)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	48.8%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
	88.4%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	98.8%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
▶	49.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	99.0%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (atan2.f64 im re)))
	49.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -5/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
	98.6%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) (log.f64 base))
▶	99.3%	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
	99.1%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	99.1%	(.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))
▶	98.8%	(.f64 (.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))

Compiler

Compiled 505 to 427 computations (15.4% saved)

simplify116.0ms (1.3%)

Memory

19.3MiB live, 96.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 base))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (atan2.f64 im re))
cost-diff	1664	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
cost-diff	12800	(.f64 (.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))
cost-diff	5824	(pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))
cost-diff	7104	(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
cost-diff	7104	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 base))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	6080	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
cost-diff	6720	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))

Rules

3 414×	`lower-*.f32`
3 402×	`lower-*.f64`
2 014×	`lower-fma.f64`
2 014×	`lower-fma.f32`
1 374×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	183
0	44	156
1	71	148
2	130	136
3	276	135
4	945	135
5	3046	135
6	4819	135
7	6604	135
8	7461	135
0	8086	135

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.5%)

Memory

-14.0MiB live, 104.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0.08984375	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (atan2.f64 im re))
accuracy	0.09375	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
accuracy	0.11830235241743067	(.f64 (.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
accuracy	0	(log.f64 base)
accuracy	0.10546875	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))
accuracy	0.20703125	(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy	0.4208198632502611	(pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))
accuracy	0.07421875	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.11328125	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))
accuracy	0.25124483702386846	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
accuracy	0.5027940379066339	(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0	(neg.f64 (atan2.f64 im re))
accuracy	0	(log.f64 base)
accuracy	0.05859375	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0.08041000976844201	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
accuracy	0	(log.f64 base)
accuracy	0.08041000976844201	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
accuracy	0.10384750976844201	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
accuracy	0.10775375976844201	(pow.f64 (log.f64 base) #s(literal -2 binary64))

Samples

74.0ms	192×	0	invalid
18.0ms	64×	0	valid

Compiler

Compiled 185 to 28 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 43.0ms (59.6% of total)

ival-div: 11.0ms (15.2% of total)

ival-log: 4.0ms (5.5% of total)

ival-pow2: 4.0ms (5.5% of total)

ival-pow: 4.0ms (5.5% of total)

ival-sqrt: 3.0ms (4.2% of total)

ival-atan2: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series174.0ms (2%)

Memory

9.6MiB live, 125.7MiB allocated

Counts

18 → 480

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	im	@	0	((* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (log base) (* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (neg (atan2 im re)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (pow (pow (atan2 im re) 1/2) 2) (pow (atan2 im re) 1/2) (/ (pow (pow (atan2 im re) 1/2) 2) (log base)) (atan2 im re) (* (* (* (/ -1 (log base)) (/ -1 (log base))) (atan2 im re)) (log base)) (* (/ -1 (log base)) (/ -1 (log base))) (* (* (/ -1 (log base)) (/ -1 (log base))) (atan2 im re)))
50.0ms	re	@	0	((* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (log base) (* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (neg (atan2 im re)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (pow (pow (atan2 im re) 1/2) 2) (pow (atan2 im re) 1/2) (/ (pow (pow (atan2 im re) 1/2) 2) (log base)) (atan2 im re) (* (* (* (/ -1 (log base)) (/ -1 (log base))) (atan2 im re)) (log base)) (* (/ -1 (log base)) (/ -1 (log base))) (* (* (/ -1 (log base)) (/ -1 (log base))) (atan2 im re)))
9.0ms	base	@	-inf	((* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (log base) (* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (neg (atan2 im re)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (pow (pow (atan2 im re) 1/2) 2) (pow (atan2 im re) 1/2) (/ (pow (pow (atan2 im re) 1/2) 2) (log base)) (atan2 im re) (* (* (* (/ -1 (log base)) (/ -1 (log base))) (atan2 im re)) (log base)) (* (/ -1 (log base)) (/ -1 (log base))) (* (* (/ -1 (log base)) (/ -1 (log base))) (atan2 im re)))
9.0ms	base	@	inf	((* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (log base) (* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (neg (atan2 im re)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (pow (pow (atan2 im re) 1/2) 2) (pow (atan2 im re) 1/2) (/ (pow (pow (atan2 im re) 1/2) 2) (log base)) (atan2 im re) (* (* (* (/ -1 (log base)) (/ -1 (log base))) (atan2 im re)) (log base)) (* (/ -1 (log base)) (/ -1 (log base))) (* (* (/ -1 (log base)) (/ -1 (log base))) (atan2 im re)))
9.0ms	base	@	0	((* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (log base) (* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (neg (atan2 im re)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (pow (pow (atan2 im re) 1/2) 2) (pow (atan2 im re) 1/2) (/ (pow (pow (atan2 im re) 1/2) 2) (log base)) (atan2 im re) (* (* (* (/ -1 (log base)) (/ -1 (log base))) (atan2 im re)) (log base)) (* (/ -1 (log base)) (/ -1 (log base))) (* (* (/ -1 (log base)) (/ -1 (log base))) (atan2 im re)))

simplify154.0ms (1.8%)

Memory

-5.9MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 160×	`lower-fma.f64`
2 160×	`lower-fma.f32`
916×	`lower-*.f64`
916×	`lower-*.f32`
644×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	3004
1	66	2948
2	104	2948
3	263	2948
4	732	2948
5	1585	2948
6	2325	2948
7	3245	2948
8	3622	2948
9	3673	2948
10	3678	2948
11	3678	2948
12	3749	2948
13	3773	2948
14	3773	2948
0	3773	2948

Stop Event

1×	iter limit
1×	saturated

Counts

480 → 480

Calls

Call 1

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

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

rewrite291.0ms (3.3%)

Memory

6.3MiB live, 197.6MiB allocated

Rules

1 808×	`lower-*.f32`
1 796×	`lower-*.f64`
1 372×	`frac-times`
996×	`lower-/.f32`
988×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	137
0	44	109
1	130	89
2	526	89
0	4141	89

Stop Event

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

Counts

18 → 1 330

Calls

Call 1

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

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

eval321.0ms (3.7%)

Memory: -26.7MiB live, 700.5MiB allocated
Compiler: Compiled 38 410 to 3 749 computations (90.2% saved)

prune103.0ms (1.2%)

Memory

16.3MiB live, 328.6MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	2 559	18	2 577
Fresh	9	6	15
Picked	5	0	5
Done	0	3	3
Total	2 573	27	2 600

Accuracy

100.0%

Counts

2 600 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	49.6%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
	51.5%	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (log.f64 base))
	51.6%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
	49.1%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	49.6%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	25.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))) #s(literal 2 binary64)))
	51.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re))))
	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	89.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (atan2.f64 im re)))
▶	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	48.8%	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))))
	51.4%	(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	49.2%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
	49.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -5/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
▶	51.6%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (sqrt.f64 (atan2.f64 im re)))
▶	99.3%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	49.1%	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (atan2.f64 im re)))
	48.8%	(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (log.f64 base)))) (neg.f64 (atan2.f64 im re)))
▶	98.8%	(.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓	99.1%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	51.6%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (neg.f64 (sqrt.f64 (atan2.f64 im re))))
▶	48.8%	(.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (atan2.f64 im re))

Compiler

Compiled 595 to 523 computations (12.1% saved)

simplify106.0ms (1.2%)

Memory

7.4MiB live, 161.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 base))
cost-diff	0	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re))
cost-diff	704	(pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 2 binary64))
cost-diff	12800	(.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base))
cost-diff	0	(log.f64 (log.f64 base))
cost-diff	192	(*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))
cost-diff	6080	(.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (atan2.f64 im re))
cost-diff	6464	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(sqrt.f64 (atan2.f64 im re))
cost-diff	0	(/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base))
cost-diff	8064	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (sqrt.f64 (atan2.f64 im re)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	-5760	(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	6080	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))

Rules

3 334×	`lower-fma.f64`
3 334×	`lower-fma.f32`
3 018×	`lower-*.f32`
3 006×	`lower-*.f64`
2 038×	`lower--.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	160
0	42	145
1	65	132
2	96	131
3	273	131
4	694	131
5	1811	128
6	3610	128
7	6427	128
0	8095	128

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (1%)

Memory

-18.7MiB live, 185.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0.08984375	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re))
accuracy	0.09375	(pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 2 binary64))
accuracy	0.11830235241743067	(.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base))
accuracy	0	(log.f64 base)
accuracy	0.0078125	(log.f64 (log.f64 base))
accuracy	0.08041000976844201	(.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (atan2.f64 im re))
accuracy	0.29305783675768393	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
accuracy	0	(log.f64 base)
accuracy	0.1015625	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (sqrt.f64 (atan2.f64 im re)))
accuracy	0.11328125	(/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base))
accuracy	0.4208198632502611	(sqrt.f64 (atan2.f64 im re))
accuracy	0	(log.f64 base)
accuracy	0.03125	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.08984375	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0.25124483702386846	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.05859375	(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy	0.08041000976844201	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))

Samples

53.0ms	192×	0	invalid
14.0ms	64×	0	valid

Compiler

Compiled 162 to 26 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-exp: 16.0ms (33.8% of total)

ival-mult: 11.0ms (23.2% of total)

ival-div: 8.0ms (16.9% of total)

ival-log: 6.0ms (12.7% of total)

ival-atan2: 2.0ms (4.2% of total)

ival-sqrt: 2.0ms (4.2% of total)

ival-pow2: 2.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series186.0ms (2.1%)

Memory

37.3MiB live, 493.3MiB allocated

Counts

18 → 444

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
52.0ms	base	@	0	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (/ (sqrt (atan2 im re)) (log base)) (sqrt (atan2 im re))) (/ (sqrt (atan2 im re)) (log base)) (sqrt (atan2 im re)) (exp (* (log (log base)) -1)) (* (exp (* (log (log base)) -1)) (atan2 im re)) (* (log (log base)) -1) (log (log base)) (* (* (pow (/ -1 (log base)) 2) (atan2 im re)) (log base)) (pow (/ -1 (log base)) 2) (* (pow (/ -1 (log base)) 2) (atan2 im re)) (/ -1 (log base)))
31.0ms	base	@	inf	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (/ (sqrt (atan2 im re)) (log base)) (sqrt (atan2 im re))) (/ (sqrt (atan2 im re)) (log base)) (sqrt (atan2 im re)) (exp (* (log (log base)) -1)) (* (exp (* (log (log base)) -1)) (atan2 im re)) (* (log (log base)) -1) (log (log base)) (* (* (pow (/ -1 (log base)) 2) (atan2 im re)) (log base)) (pow (/ -1 (log base)) 2) (* (pow (/ -1 (log base)) 2) (atan2 im re)) (/ -1 (log base)))
26.0ms	base	@	-inf	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (/ (sqrt (atan2 im re)) (log base)) (sqrt (atan2 im re))) (/ (sqrt (atan2 im re)) (log base)) (sqrt (atan2 im re)) (exp (* (log (log base)) -1)) (* (exp (* (log (log base)) -1)) (atan2 im re)) (* (log (log base)) -1) (log (log base)) (* (* (pow (/ -1 (log base)) 2) (atan2 im re)) (log base)) (pow (/ -1 (log base)) 2) (* (pow (/ -1 (log base)) 2) (atan2 im re)) (/ -1 (log base)))
18.0ms	re	@	0	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (/ (sqrt (atan2 im re)) (log base)) (sqrt (atan2 im re))) (/ (sqrt (atan2 im re)) (log base)) (sqrt (atan2 im re)) (exp (* (log (log base)) -1)) (* (exp (* (log (log base)) -1)) (atan2 im re)) (* (log (log base)) -1) (log (log base)) (* (* (pow (/ -1 (log base)) 2) (atan2 im re)) (log base)) (pow (/ -1 (log base)) 2) (* (pow (/ -1 (log base)) 2) (atan2 im re)) (/ -1 (log base)))
10.0ms	im	@	-inf	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (/ (sqrt (atan2 im re)) (log base)) (sqrt (atan2 im re))) (/ (sqrt (atan2 im re)) (log base)) (sqrt (atan2 im re)) (exp (* (log (log base)) -1)) (* (exp (* (log (log base)) -1)) (atan2 im re)) (* (log (log base)) -1) (log (log base)) (* (* (pow (/ -1 (log base)) 2) (atan2 im re)) (log base)) (pow (/ -1 (log base)) 2) (* (pow (/ -1 (log base)) 2) (atan2 im re)) (/ -1 (log base)))

simplify221.0ms (2.5%)

Memory

-30.1MiB live, 111.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 248×	`lower-fma.f64`
2 248×	`lower-fma.f32`
1 000×	`lower-*.f64`
1 000×	`lower-*.f32`
542×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	2880
1	86	2748
2	159	2748
3	374	2748
4	888	2748
5	1758	2748
6	2582	2748
7	3390	2748
8	3822	2748
9	3856	2748
10	3861	2748
11	3861	2748
12	3931	2748
13	3957	2748
14	3957	2748
0	3957	2748

Stop Event

1×	iter limit
1×	saturated

Counts

444 → 444

Calls

Call 1

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

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

rewrite122.0ms (1.4%)

Memory

2.7MiB live, 156.7MiB allocated

Rules

1 842×	`lower-fma.f64`
1 842×	`lower-fma.f32`
1 604×	`lower-*.f32`
1 592×	`lower-*.f64`
1 082×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	120
0	42	105
1	100	92
2	349	88
3	2243	88
0	8593	88

Stop Event

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

Counts

18 → 1 181

Calls

Call 1

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

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

eval356.0ms (4.1%)

Memory: 15.6MiB live, 502.7MiB allocated
Compiler: Compiled 36 030 to 3 881 computations (89.2% saved)

prune128.0ms (1.5%)

Memory

-29.6MiB live, 247.5MiB allocated

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	2 453	9	2 462
Fresh	4	15	19
Picked	2	3	5
Done	0	3	3
Total	2 459	30	2 489

Accuracy

100.0%

Counts

2 489 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	49.6%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
	51.5%	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (log.f64 base))
	51.6%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
	49.1%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	49.6%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	51.6%	(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
	98.8%	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
	25.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))) #s(literal 2 binary64)))
	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	51.3%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal -4 binary64)) (log.f64 base)))
	51.4%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
	51.0%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal -2 binary64)) (log.f64 base)))
	89.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (atan2.f64 im re)))
✓	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	48.8%	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))))
	49.2%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
	49.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -5/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)))
✓	99.3%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	48.9%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))))
	48.8%	(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
	49.1%	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (atan2.f64 im re)))
✓	98.8%	(.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓	99.1%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	51.6%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (neg.f64 (sqrt.f64 (atan2.f64 im re))))
	51.9%	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (atan2.f64 im re))
	48.8%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))

Compiler

Compiled 1 140 to 502 computations (56% saved)

regimes136.0ms (1.6%)

Memory

17.7MiB live, 128.2MiB allocated

Accuracy

Total -63.7b remaining (-18309%)

Threshold costs -63.7b (-18309%)

Counts

64 → 1

Calls

Call 1

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

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

Calls

5 calls:

45.0ms	(/.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))))
35.0ms	im
20.0ms	re
16.0ms	base
16.0ms	(log.f64 base)

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 33 to 31 computations (6.1% saved)

simplify22.0ms (0.2%)

Memory

13.8MiB live, 52.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness149.0ms (1.7%)

Memory

-30.1MiB live, 56.7MiB 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×	fuel
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 34 to 24 computations (29.4% saved)

preprocess21.0ms (0.2%)

Memory: 14.0MiB live, 49.6MiB allocated
Compiler: Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze254.0ms (2.9%)

sample1.9s (21.2%)

explain311.0ms (3.6%)

preprocess217.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify181.0ms (2.1%)

localize125.0ms (1.4%)

series160.0ms (1.8%)

simplify187.0ms (2.1%)

rewrite408.0ms (4.7%)

eval359.0ms (4.1%)

prune79.0ms (0.9%)

simplify564.0ms (6.5%)

localize80.0ms (0.9%)

series118.0ms (1.4%)

simplify175.0ms (2%)

rewrite169.0ms (1.9%)

eval445.0ms (5.1%)

prune233.0ms (2.7%)

simplify116.0ms (1.3%)

localize134.0ms (1.5%)

series174.0ms (2%)

simplify154.0ms (1.8%)

rewrite291.0ms (3.3%)

eval321.0ms (3.7%)

prune103.0ms (1.2%)

simplify106.0ms (1.2%)

localize88.0ms (1%)

series186.0ms (2.1%)

simplify221.0ms (2.5%)

rewrite122.0ms (1.4%)

eval356.0ms (4.1%)

prune128.0ms (1.5%)

regimes136.0ms (1.6%)

simplify22.0ms (0.2%)

soundness149.0ms (1.7%)

preprocess21.0ms (0.2%)

end0.0ms (0%)

Profiling