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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze174.0ms (1.6%)

Memory

-4.9MiB live, 313.1MiB 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 (17.9%)

Memory

-232.7MiB live, 2 451.1MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-log: 384.0ms (32.4% of total)

ival-hypot: 307.0ms (25.9% of total)

ival-mult: 165.0ms (13.9% of total)

ival-div: 132.0ms (11.1% of total)

ival-atan2: 95.0ms (8% of total)

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

ival-sub: 43.0ms (3.6% of total)

ival-true: 7.0ms (0.6% of total)

exact: 6.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain343.0ms (3.2%)

Memory

15.8MiB live, 405.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
126	-	3	(2.5556584154313816e-182 -2.983116828727711e-160 3.703104601680041e+283)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
2	-	2	(1.2780905543523438e+257 4.041501675975832e-61 4.7651798043150665e+188)	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`im`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`re`
0	-	0	-	`(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`base`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	112	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	112
↳	`(*.f64 re re)`	overflow	67
↳	`(*.f64 im im)`	overflow	65

Confusion

	Predicted +	Predicted -
+	112	11
-	0	133

Precision

1.0

Recall

0.9105691056910569

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	112	0	11
-	0	0	133

Precision?

1.0

Recall?

0.9105691056910569

Freqs

test

number	freq
0	144
1	112

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

162.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 64.0ms (58.6% of total)

ival-log: 13.0ms (11.9% of total)

ival-add: 9.0ms (8.2% of total)

ival-hypot: 9.0ms (8.2% of total)

ival-atan2: 8.0ms (7.3% of total)

ival-div: 3.0ms (2.7% of total)

ival-sub: 2.0ms (1.8% of total)

ival-true: 1.0ms (0.9% of total)

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

exact: 0.0ms (0% of total)

preprocess228.0ms (2.2%)

Memory

9.8MiB live, 206.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.5%	(/.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

▶

51.5%

(/.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)

simplify175.0ms (1.7%)

Memory

-13.4MiB live, 138.9MiB 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))))

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)

localize70.0ms (0.7%)

Memory

3.4MiB live, 156.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.35115070686329775	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.36556625976844204	(/.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	0.4772262695368841	(*.f64 (log.f64 base) (log.f64 base))
accuracy	28.881385116745612	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

48.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-log: 9.0ms (30.8% of total)

ival-mult: 7.0ms (24% of total)

ival-hypot: 4.0ms (13.7% of total)

ival-div: 2.0ms (6.9% of total)

ival-add: 2.0ms (6.9% of total)

ival-atan2: 2.0ms (6.9% of total)

ival-sub: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series184.0ms (1.7%)

Memory

1.3MiB live, 244.3MiB allocated

Counts

7 → 168

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	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)))
34.0ms	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)))
21.0ms	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)))
15.0ms	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)))
9.0ms	re	@	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)))

simplify214.0ms (2%)

Memory

34.3MiB live, 215.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

Calls

Call 1

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

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

rewrite263.0ms (2.5%)

Memory

-2.9MiB live, 384.3MiB allocated

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
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eval417.0ms (3.9%)

Memory: -24.6MiB live, 600.7MiB allocated
Compiler: Compiled 56 241 to 3 448 computations (93.9% saved)

prune131.0ms (1.2%)

Memory

-11.0MiB live, 150.1MiB allocated

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	1 703	27	1 730
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 704	27	1 731

Accuracy

100.0%

Counts

1 731 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.4%	(/.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))) (log.f64 base))
	98.9%	(/.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)))
	99.4%	(/.f64 (/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (neg.f64 (log.f64 base)))
	89.8%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.1%	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	99.1%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	89.9%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.2%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	90.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
▶	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	98.9%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	89.7%	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	98.6%	(.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))))
	98.9%	(.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)))
▶	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
	98.5%	(.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)))
	99.3%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (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))
	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))
	43.8%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))

Compiler

Compiled 744 to 580 computations (22% saved)

simplify172.0ms (1.6%)

Memory

24.7MiB live, 169.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	20352	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
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	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	12800	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	160
0	40	133
1	62	133
2	121	133
3	306	133
4	690	133
5	1704	133
6	2312	133
7	3572	133
8	4100	133
9	4602	133
10	5238	133
11	5574	133
12	5668	133
13	7158	133
14	7853	133
0	8003	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 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(*.f64 (log.f64 base) (atan2.f64 im re))
(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 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#s(literal 1 binary64)

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

localize122.0ms (1.2%)

Memory

4.8MiB live, 133.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.33203125	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.38966752930532605	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
accuracy	0.3912887695368841	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	6.342586375251255	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0.3671875	(.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	0.47340661354356184	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
accuracy	0.7071839844426087	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.9040531251802899	(pow.f64 (log.f64 base) #s(literal -4 binary64))
accuracy	0	(log.f64 base)
accuracy	0.3203125	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.35115070686329775	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.4831238281475362	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.328125	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.5617431111575597	(/.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	0.33203125	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

93.0ms

256×

valid

Compiler

Compiled 162 to 26 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-pow2: 38.0ms (52.2% of total)

ival-pow: 13.0ms (17.9% of total)

ival-mult: 8.0ms (11% of total)

ival-div: 7.0ms (9.6% of total)

ival-log: 3.0ms (4.1% of total)

ival-atan2: 2.0ms (2.7% of total)

exact: 1.0ms (1.4% of total)

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

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

series131.0ms (1.2%)

Memory

-12.8MiB live, 157.4MiB allocated

Counts

15 → 432

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	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) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (* (pow (log base) -4) (* (pow (log base) 3) (atan2 im re))) (pow (log base) -4) (* (pow (log base) 3) (atan2 im re)) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 3))
17.0ms	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) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (* (pow (log base) -4) (* (pow (log base) 3) (atan2 im re))) (pow (log base) -4) (* (pow (log base) 3) (atan2 im re)) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 3))
16.0ms	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) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (* (pow (log base) -4) (* (pow (log base) 3) (atan2 im re))) (pow (log base) -4) (* (pow (log base) 3) (atan2 im re)) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 3))
13.0ms	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) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (* (pow (log base) -4) (* (pow (log base) 3) (atan2 im re))) (pow (log base) -4) (* (pow (log base) 3) (atan2 im re)) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 3))
10.0ms	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) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (* (pow (log base) -4) (* (pow (log base) 3) (atan2 im re))) (pow (log base) -4) (* (pow (log base) 3) (atan2 im re)) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 3))

simplify154.0ms (1.5%)

Memory

-2.6MiB live, 177.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	3004
1	93	2948
2	198	2948
3	657	2948
4	1963	2948
5	4622	2948
6	6926	2948
0	8184	2948

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

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

rewrite165.0ms (1.6%)

Memory

25.3MiB live, 306.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
0	40	81
1	106	81
2	467	81
0	4250	81

Stop Event

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

Counts

15 → 2 262

Calls

Call 1

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

Outputs
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eval726.0ms (6.9%)

Memory: 41.1MiB live, 1 014.3MiB allocated
Compiler: Compiled 69 146 to 3 695 computations (94.7% saved)

prune141.0ms (1.3%)

Memory

-50.9MiB live, 359.3MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	3 669	18	3 687
Fresh	18	4	22
Picked	1	4	5
Done	0	0	0
Total	3 688	26	3 714

Accuracy

100.0%

Counts

3 714 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
	46.4%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	90.9%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
	99.3%	(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	52.2%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
	90.7%	(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
	99.1%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.2%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))) (log.f64 base)))
	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))))
✓	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	52.0%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (log.f64 (log.f64 base))) (atan2.f64 im re)))
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	89.7%	(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	52.7%	(.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)))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
✓	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
	90.1%	(*.f64 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
	98.7%	(*.f64 (/.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
▶	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	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)) (log.f64 base))
	45.6%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 560 to 480 computations (14.3% saved)

simplify136.0ms (1.3%)

Memory

-14.6MiB live, 101.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))) (log.f64 base)))
cost-diff	13568	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))) (log.f64 base))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	12800	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (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	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	0	(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)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	189
0	43	169
1	73	150
2	130	150
3	408	150
4	1446	148
5	2623	148
6	3790	148
7	4807	148
8	5456	148
9	6167	148
10	7120	148
0	8004	148

Stop Event

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

Calls

Call 1

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

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

localize170.0ms (1.6%)

Memory

-6.3MiB live, 109.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3515625	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))
accuracy	0.35546875	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))) (log.f64 base))
accuracy	0.4831238281475362	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.5617431111575597	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))) (log.f64 base)))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.3203125	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.35115070686329775	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.4772262695368841	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0	(log.f64 base)
accuracy	0.3515625	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))
accuracy	0.39150471655056057	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
accuracy	0.4831238281475362	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0	(log.f64 base)
accuracy	0.05859375	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.3912887695368841	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0.5617431111575597	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0	(neg.f64 (atan2.f64 im re))
accuracy	0	(log.f64 base)
accuracy	0.27734375	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0.36328125	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))

Samples

100.0ms

256×

valid

Compiler

Compiled 191 to 27 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 37.0ms (62.8% of total)

ival-mult: 8.0ms (13.6% of total)

ival-log: 4.0ms (6.8% of total)

ival-pow: 4.0ms (6.8% of total)

ival-atan2: 2.0ms (3.4% of total)

ival-pow2: 2.0ms (3.4% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series148.0ms (1.4%)

Memory

3.0MiB live, 125.1MiB allocated

Counts

18 → 492

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	re	@	-inf	((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (* (/ 1 (pow (log base) 2)) (* (log base) (atan2 im re))) (/ 1 (pow (log base) 2)) (pow (log base) 2) (/ (/ 1 (* (pow (log base) -2) (atan2 im re))) (log base)) (/ 1 (/ (/ 1 (* (pow (log base) -2) (atan2 im re))) (log base))) (/ 1 (* (pow (log base) -2) (atan2 im re))) (* (log base) (atan2 im re)))
20.0ms	base	@	-inf	((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (* (/ 1 (pow (log base) 2)) (* (log base) (atan2 im re))) (/ 1 (pow (log base) 2)) (pow (log base) 2) (/ (/ 1 (* (pow (log base) -2) (atan2 im re))) (log base)) (/ 1 (/ (/ 1 (* (pow (log base) -2) (atan2 im re))) (log base))) (/ 1 (* (pow (log base) -2) (atan2 im re))) (* (log base) (atan2 im re)))
9.0ms	base	@	inf	((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (* (/ 1 (pow (log base) 2)) (* (log base) (atan2 im re))) (/ 1 (pow (log base) 2)) (pow (log base) 2) (/ (/ 1 (* (pow (log base) -2) (atan2 im re))) (log base)) (/ 1 (/ (/ 1 (* (pow (log base) -2) (atan2 im re))) (log base))) (/ 1 (* (pow (log base) -2) (atan2 im re))) (* (log base) (atan2 im re)))
9.0ms	base	@	0	((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (* (/ 1 (pow (log base) 2)) (* (log base) (atan2 im re))) (/ 1 (pow (log base) 2)) (pow (log base) 2) (/ (/ 1 (* (pow (log base) -2) (atan2 im re))) (log base)) (/ 1 (/ (/ 1 (* (pow (log base) -2) (atan2 im re))) (log base))) (/ 1 (* (pow (log base) -2) (atan2 im re))) (* (log base) (atan2 im re)))
9.0ms	im	@	-inf	((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (* (/ 1 (pow (log base) 2)) (* (log base) (atan2 im re))) (/ 1 (pow (log base) 2)) (pow (log base) 2) (/ (/ 1 (* (pow (log base) -2) (atan2 im re))) (log base)) (/ 1 (/ (/ 1 (* (pow (log base) -2) (atan2 im re))) (log base))) (/ 1 (* (pow (log base) -2) (atan2 im re))) (* (log base) (atan2 im re)))

simplify526.0ms (5%)

Memory

16.3MiB live, 135.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	3216
1	70	3156
2	125	3156
3	320	3156
4	902	3156
5	1966	3156
6	3283	3156
7	5277	3156
8	6190	3156
9	6601	3156
10	6749	3156
11	6832	3156
12	6996	3156
13	7077	3156
14	7077	3156
15	7077	3156
16	7551	3156
17	7751	3156
18	7751	3156
19	7751	3156
20	7751	3156
0	7751	3156

Stop Event

1×	iter limit
1×	saturated

Counts

492 → 492

Calls

Call 1

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

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))
(/ -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))
(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) 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)))
(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))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im 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) 2) (atan2 im re))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))
(/ (pow (log base) 2) (atan2 im re))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))
(/ (pow (log base) 2) (atan2 im re))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))
(/ (pow (log base) 2) (atan2 im re))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -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))
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(/ 1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/ 1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(* -1 (log (/ 1 base)))
(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))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.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)))
(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))
(* -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))))
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rewrite259.0ms (2.4%)

Memory

2.3MiB live, 228.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	135
0	43	115
1	130	94
2	525	94
3	3454	94
0	8753	94

Stop Event

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

Counts

18 → 1 870

Calls

Call 1

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

Outputs
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eval737.0ms (7%)

Memory: 64.4MiB live, 921.6MiB allocated
Compiler: Compiled 58 827 to 4 715 computations (92% saved)

prune126.0ms (1.2%)

Memory

-24.6MiB live, 406.6MiB allocated

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	3 371	14	3 385
Fresh	9	8	17
Picked	1	4	5
Done	1	3	4
Total	3 382	29	3 411

Accuracy

100.0%

Counts

3 411 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.0%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
	46.4%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	90.9%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	52.2%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
	90.7%	(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
	52.6%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
▶	98.8%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
	60.0%	(/.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)))
	52.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
	98.7%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
▶	52.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	60.2%	(.f64 (pow.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 base)) #s(literal -2 binary64)) (log.f64 base))
▶	99.2%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	52.4%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 4 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
	52.6%	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (neg.f64 (atan2.f64 im re)))
	52.6%	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (atan2.f64 im re)))
✓	99.3%	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
	99.1%	(.f64 (.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/2 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))
	49.2%	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (neg.f64 (atan2.f64 im re)))
	45.6%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 576 to 507 computations (12% saved)

simplify156.0ms (1.5%)

Memory

-2.6MiB live, 198.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	0	(log.f64 base)
cost-diff	13568	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
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)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
cost-diff	7104	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	6848	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
cost-diff	12800	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	185
0	48	193
1	67	187
2	108	175
3	326	175
4	1379	150
5	2315	150
6	2892	150
7	3397	150
8	4095	150
9	5031	150
10	5383	150
11	5699	150
12	6047	150
13	6502	150
14	7129	150
0	8240	150

Stop Event

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

Calls

Call 1

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

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

localize169.0ms (1.6%)

Memory

-10.7MiB live, 188.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 base)
accuracy	0.20703125	(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))
accuracy	0.224941259768442	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.33800335896514144	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
accuracy	0	(log.f64 base)
accuracy	0.1875	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.244472509768442	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
accuracy	2.086725406084569	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
accuracy	0.0625	(sqrt.f64 (log.f64 base))
accuracy	0.205410009768442	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
accuracy	0.28125	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
accuracy	0.29894085896514144	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
accuracy	0	(log.f64 base)
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy	0.171875	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.29894085896514144	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
accuracy	0.1328125	(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy	0.1484375	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
accuracy	0.19652194709485574	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
accuracy	0.23666000976844204	(pow.f64 (log.f64 base) #s(literal -2 binary64))

Samples

115.0ms	136×	0	valid
31.0ms	120×	0	invalid

Compiler

Compiled 187 to 30 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div: 52.0ms (62.9% of total)

ival-pow: 12.0ms (14.5% of total)

ival-pow2: 7.0ms (8.5% of total)

ival-log: 4.0ms (4.8% of total)

ival-mult: 3.0ms (3.6% of total)

ival-atan2: 2.0ms (2.4% of total)

ival-sqrt: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series138.0ms (1.3%)

Memory

-15.0MiB live, 341.8MiB allocated

Counts

20 → 552

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	re	@	-inf	((* (pow (log base) -2) (/ (atan2 im re) (pow (log base) -1))) (/ (atan2 im re) (pow (log base) -1)) (pow (log base) -2) (log base) (/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (pow (sqrt (log base)) 2) (/ 1 (* (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2))) (* (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2)) (/ 1 (atan2 im re)) (pow (pow (/ (log base) (atan2 im re)) 2) -1/2) (pow (/ (log base) (atan2 im re)) 2) (/ (log base) (atan2 im re)) (/ (log base) (/ (pow (log base) 2) (atan2 im re))) (/ (pow (log base) 2) (atan2 im re)) (pow (log base) 2) (pow (log base) -1) (sqrt (log base)))
23.0ms	re	@	0	((* (pow (log base) -2) (/ (atan2 im re) (pow (log base) -1))) (/ (atan2 im re) (pow (log base) -1)) (pow (log base) -2) (log base) (/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (pow (sqrt (log base)) 2) (/ 1 (* (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2))) (* (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2)) (/ 1 (atan2 im re)) (pow (pow (/ (log base) (atan2 im re)) 2) -1/2) (pow (/ (log base) (atan2 im re)) 2) (/ (log base) (atan2 im re)) (/ (log base) (/ (pow (log base) 2) (atan2 im re))) (/ (pow (log base) 2) (atan2 im re)) (pow (log base) 2) (pow (log base) -1) (sqrt (log base)))
11.0ms	base	@	inf	((* (pow (log base) -2) (/ (atan2 im re) (pow (log base) -1))) (/ (atan2 im re) (pow (log base) -1)) (pow (log base) -2) (log base) (/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (pow (sqrt (log base)) 2) (/ 1 (* (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2))) (* (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2)) (/ 1 (atan2 im re)) (pow (pow (/ (log base) (atan2 im re)) 2) -1/2) (pow (/ (log base) (atan2 im re)) 2) (/ (log base) (atan2 im re)) (/ (log base) (/ (pow (log base) 2) (atan2 im re))) (/ (pow (log base) 2) (atan2 im re)) (pow (log base) 2) (pow (log base) -1) (sqrt (log base)))
11.0ms	base	@	0	((* (pow (log base) -2) (/ (atan2 im re) (pow (log base) -1))) (/ (atan2 im re) (pow (log base) -1)) (pow (log base) -2) (log base) (/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (pow (sqrt (log base)) 2) (/ 1 (* (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2))) (* (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2)) (/ 1 (atan2 im re)) (pow (pow (/ (log base) (atan2 im re)) 2) -1/2) (pow (/ (log base) (atan2 im re)) 2) (/ (log base) (atan2 im re)) (/ (log base) (/ (pow (log base) 2) (atan2 im re))) (/ (pow (log base) 2) (atan2 im re)) (pow (log base) 2) (pow (log base) -1) (sqrt (log base)))
10.0ms	im	@	-inf	((* (pow (log base) -2) (/ (atan2 im re) (pow (log base) -1))) (/ (atan2 im re) (pow (log base) -1)) (pow (log base) -2) (log base) (/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (pow (sqrt (log base)) 2) (/ 1 (* (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2))) (* (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2)) (/ 1 (atan2 im re)) (pow (pow (/ (log base) (atan2 im re)) 2) -1/2) (pow (/ (log base) (atan2 im re)) 2) (/ (log base) (atan2 im re)) (/ (log base) (/ (pow (log base) 2) (atan2 im re))) (/ (pow (log base) 2) (atan2 im re)) (pow (log base) 2) (pow (log base) -1) (sqrt (log base)))

simplify186.0ms (1.8%)

Memory

-7.7MiB live, 188.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	3700
1	76	3628
2	140	3628
3	352	3628
4	984	3628
5	2199	3628
6	3971	3628
7	6662	3628
8	7988	3628
0	8090	3628

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

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

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

rewrite350.0ms (3.3%)

Memory

9.6MiB live, 207.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	142
0	48	147
1	153	133
2	724	103
0	5098	103

Stop Event

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

Counts

20 → 2 202

Calls

Call 1

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

Outputs
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eval1.4s (12.8%)

Memory: 6.5MiB live, 704.6MiB allocated
Compiler: Compiled 52 878 to 4 772 computations (91% saved)

prune137.0ms (1.3%)

Memory

31.5MiB live, 305.4MiB allocated

Pruning

31 alts after pruning (20 fresh and 11 done)

	Pruned	Kept	Total
New	3 425	5	3 430
Fresh	2	15	17
Picked	1	4	5
Done	0	7	7
Total	3 428	31	3 459

Accuracy

100.0%

Counts

3 459 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.0%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
	46.4%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	90.9%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	52.2%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
	90.7%	(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
	52.6%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
✓	98.8%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
	98.7%	(/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
	98.8%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
	44.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
	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))))
✓	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
	60.0%	(/.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)))
	52.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
	98.7%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
✓	52.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	60.2%	(.f64 (pow.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 base)) #s(literal -2 binary64)) (log.f64 base))
	52.7%	(.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
✓	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
	52.6%	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (neg.f64 (atan2.f64 im re)))
	52.6%	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (atan2.f64 im re)))
✓	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)) (log.f64 base))
	49.2%	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (neg.f64 (atan2.f64 im re)))
	45.6%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 1 199 to 498 computations (58.5% saved)

regimes98.0ms (0.9%)

Memory

4.1MiB live, 159.5MiB allocated

Accuracy

Total -63.4b remaining (-19106%)

Threshold costs -63.4b (-19106%)

Counts

65 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	im
20.0ms	base
19.0ms	(/.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))))
17.0ms	re
17.0ms	(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)

simplify26.0ms (0.2%)

Memory

-34.1MiB live, 43.2MiB 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))

soundness135.0ms (1.3%)

Memory

-14.8MiB live, 83.7MiB allocated

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: 11.8MiB live, 50.8MiB allocated
Compiler: Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze174.0ms (1.6%)

sample1.9s (17.9%)

explain343.0ms (3.2%)

preprocess228.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify175.0ms (1.7%)

localize70.0ms (0.7%)

series184.0ms (1.7%)

simplify214.0ms (2%)

rewrite263.0ms (2.5%)

eval417.0ms (3.9%)

prune131.0ms (1.2%)

simplify172.0ms (1.6%)

localize122.0ms (1.2%)

series131.0ms (1.2%)

simplify154.0ms (1.5%)

rewrite165.0ms (1.6%)

eval726.0ms (6.9%)

prune141.0ms (1.3%)

simplify136.0ms (1.3%)

localize170.0ms (1.6%)

series148.0ms (1.4%)

simplify526.0ms (5%)

rewrite259.0ms (2.4%)

eval737.0ms (7%)

prune126.0ms (1.2%)

simplify156.0ms (1.5%)

localize169.0ms (1.6%)

series138.0ms (1.3%)

simplify186.0ms (1.8%)

rewrite350.0ms (3.3%)

eval1.4s (12.8%)

prune137.0ms (1.3%)

regimes98.0ms (0.9%)

simplify26.0ms (0.2%)

soundness135.0ms (1.3%)

preprocess21.0ms (0.2%)

end0.0ms (0%)

Profiling