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

analyze218.0ms (2%)

Memory

-6.7MiB live, 114.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	49.9%	0.1%	0%	49.9%	0%	4
0%	0%	49.9%	0.1%	0%	49.9%	0%	5
0%	0%	49.9%	0.1%	0%	49.9%	0%	6
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)

sample2.0s (18.9%)

Memory

64.2MiB live, 1 825.5MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-log: 265.0ms (22.7% of total)

ival-mult: 229.0ms (19.6% of total)

ival-atan2: 210.0ms (18% of total)

ival-div: 176.0ms (15.1% of total)

ival-hypot: 152.0ms (13% of total)

ival-add: 81.0ms (6.9% of total)

ival-sub: 38.0ms (3.3% of total)

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

exact: 5.0ms (0.4% of total)

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

Bogosity

preprocess321.0ms (3%)

Memory

-30.2MiB live, 365.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	139
1	205	121
2	438	78
3	851	63
4	1429	63
5	2476	63
6	3288	63
7	3959	63
8	6114	63
9	7934	63
0	18	26
0	34	14
1	53	12
2	76	8
3	95	6
4	113	6
5	184	6
6	398	6
7	1265	6
8	1939	6
9	2420	6
10	2992	6
11	3887	6
12	4668	6
13	5681	6
14	6840	6
15	7178	6
16	7385	6
17	7580	6
18	7787	6
0	8595	6

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

explain256.0ms (2.4%)

Memory

-1.8MiB live, 557.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
124	-	2	(-1.4246164802729875e-158 5.416423224894341e-275 1.2210649626754284e-135)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
1	-	1	(1.1026984615945615e+171 7.703762832497426e-143 2.9724246078523767e+50)	`(*.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	114	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	114
↳	`(*.f64 re re)`	overflow	61
↳	`(*.f64 im im)`	overflow	66

Confusion

	Predicted +	Predicted -
+	114	8
-	0	134

Precision

1.0

Recall

0.9344262295081968

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	114	0	8
-	0	0	134

Precision?

1.0

Recall?

0.9344262295081968

Freqs

test

number	freq
0	142
1	114

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

79.0ms

512×

valid

Compiler

Compiled 304 to 76 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 14.0ms (25.2% of total)

ival-log: 13.0ms (23.4% of total)

ival-add: 8.0ms (14.4% of total)

ival-hypot: 8.0ms (14.4% of total)

ival-atan2: 6.0ms (10.8% of total)

ival-div: 4.0ms (7.2% of total)

ival-sub: 2.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(/.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))))

Status

Accuracy

Program

▶

52.0%

(/.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))))

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify239.0ms (2.2%)

Memory

11.9MiB live, 321.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
✓	cost-diff	320	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
✓	cost-diff	8064	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
✓	cost-diff	13440	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	81
1	53	75
2	76	71
3	95	69
4	113	69
5	184	69
6	398	69
7	1265	69
8	1939	69
9	2420	69
10	2992	69
11	3887	69
12	4668	69
13	5681	69
14	6840	69
15	7178	69
16	7385	69
17	7580	69
18	7787	69
0	8595	58

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (0.7%)

Memory

2.4MiB live, 159.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.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))))
✓	accuracy	99.4%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.3%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	55.3%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

51.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

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

ival-mult: 17.0ms (43.6% of total)

ival-hypot: 8.0ms (20.5% of total)

ival-log: 6.0ms (15.4% of total)

ival-div: 2.0ms (5.1% of total)

ival-add: 2.0ms (5.1% of total)

ival-atan2: 2.0ms (5.1% of total)

ival-sub: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series97.0ms (0.9%)

Memory

-2.7MiB live, 227.8MiB allocated

Counts

7 → 168

Calls

Call 1

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

Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt im>
#<alt (+ im (* 1/2 (/ (pow re 2) im)))>
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))>
#<alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 re)>
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))>
#<alt re>
#<alt (+ re (* 1/2 (/ (pow im 2) re)))>
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))>
#<alt (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))>
#<alt im>
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 im)>
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>

Calls

42 calls:

Time	Variable		Point	Expression
34.0ms	im	@	0	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
19.0ms	base	@	0	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
15.0ms	base	@	-inf	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
12.0ms	re	@	0	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
8.0ms	base	@	inf	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))

simplify575.0ms (5.4%)

Memory

8.4MiB live, 930.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1220
1	313	1204
2	988	1202
3	3537	1166
4	6683	1166
0	8322	1132

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

Calls

Call 1

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

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

rewrite381.0ms (3.6%)

Memory

-8.0MiB live, 628.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	43
1	110	37
2	725	32
3	7038	32
0	8481	27

Stop Event

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

Counts

7 → 1 566

Calls

Call 1

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

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

eval270.0ms (2.5%)

Memory: 23.8MiB live, 489.3MiB allocated
Compiler: Compiled 56 579 to 3 424 computations (93.9% saved)

prune299.0ms (2.8%)

Memory

-19.1MiB live, 504.7MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

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

Accuracy

100.0%

Counts

1 731 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.3%	(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	83.4%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (.f64 (atan2.f64 im re) (log.f64 base)))
	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
	83.7%	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
	98.9%	(.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
▶	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.1%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.2%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
▶	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	40.9%	(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal -1 binary64)))

Compiler

Compiled 598 to 388 computations (35.1% saved)

simplify343.0ms (3.2%)

Memory

19.8MiB live, 289.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	cost-diff	320	(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
✓	cost-diff	19264	(.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))))
✓	cost-diff	0	(/.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	13888	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 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	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	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	320	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))

Rules

5 646×	`lower-*.f32`
5 634×	`lower-*.f64`
2 954×	`cube-prod`
2 812×	`lower-pow.f32`
2 806×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	157
0	39	130
1	62	130
2	129	130
3	300	130
4	1087	130
5	2329	130
6	2507	130
7	2743	130
8	3079	130
9	3553	130
10	4156	130
11	4416	130
12	4606	130
13	4732	130
14	4845	130
15	4988	130
16	5678	130
17	6760	130
18	7218	130
19	7415	130
20	7530	130
21	7629	130
22	7751	130
23	7859	130
24	7969	130
0	8047	130

Stop Event

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

Calls

Call 1

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

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

localize101.0ms (0.9%)

Memory

-7.2MiB live, 198.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
✓	accuracy	99.5%	(.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))))
✓	accuracy	99.3%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	accuracy	98.9%	(pow.f64 (log.f64 base) #s(literal 3 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))
✓	accuracy	99.4%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.3%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
✓	accuracy	99.2%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓	accuracy	99.5%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))
✓	accuracy	99.2%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.5%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

58.0ms

256×

valid

Compiler

Compiled 159 to 25 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 8.0ms (25.3% of total)

ival-mult: 8.0ms (25.3% of total)

ival-pow: 7.0ms (22.1% of total)

ival-log: 3.0ms (9.5% of total)

ival-atan2: 2.0ms (6.3% of total)

ival-pow2: 2.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory

-12.8MiB live, 69.3MiB allocated

Counts

16 → 432

Calls

Call 1

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

Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (/ (atan2 im re) (pow (log base) 3))>
#<alt (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))>
#<alt (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))>
#<alt (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))>
#<alt (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (pow (log base) 3)>
#<alt (pow (log base) 3)>
#<alt (pow (log base) 3)>
#<alt (pow (log base) 3)>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>

Calls

108 calls:

Time	Variable		Point	Expression
4.0ms	im	@	-inf	(* (pow (log base) -2) (atan2 im re))
2.0ms	base	@	-inf	(/ (* (atan2 im re) 1) (pow (log base) 3))
1.0ms	base	@	inf	(/ (* (atan2 im re) 1) (pow (log base) 3))
1.0ms	im	@	0	(/ (* (atan2 im re) 1) (pow (log base) 3))
1.0ms	re	@	0	(/ (* (atan2 im re) 1) (pow (log base) 3))

simplify286.0ms (2.7%)

Memory

14.2MiB live, 496.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 752×	`lower-fma.f64`
9 752×	`lower-fma.f32`
2 390×	`unsub-neg`
2 016×	`lower-*.f64`
2 016×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	2880
1	83	2824
2	171	2824
3	486	2824
4	1375	2824
5	3741	2824
6	6353	2824
0	8159	2824

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

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

rewrite219.0ms (2.1%)

Memory

-3.7MiB live, 340.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 596×	`div-exp`
1 556×	`lower-*.f32`
1 544×	`lower-*.f64`
1 318×	`lower-/.f32`
1 308×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	111
0	39	84
1	111	84
2	449	84
3	3071	84
0	8756	84

Stop Event

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

Counts

16 → 1 559

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))) (neg.f64 (log.f64 (.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) #s(literal -1 binary64))))
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eval744.0ms (7%)

Memory: -47.4MiB live, 713.3MiB allocated
Compiler: Compiled 50 638 to 3 853 computations (92.4% saved)

prune305.0ms (2.9%)

Memory

36.2MiB live, 644.6MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	2 886	12	2 898
Fresh	8	6	14
Picked	2	3	5
Done	0	0	0
Total	2 896	21	2 917

Accuracy

100.0%

Counts

2 917 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
▶	47.2%	(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
▶	99.5%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	99.3%	(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	47.3%	(/.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
	51.9%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
	47.2%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)))
	47.2%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	99.2%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
▶	99.1%	(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (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)) (atan2.f64 im re)) (log.f64 base))
	47.4%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (sqrt.f64 (log.f64 base)))
▶	40.9%	(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))

Compiler

Compiled 542 to 375 computations (30.8% saved)

simplify273.0ms (2.6%)

Memory

22.6MiB live, 272.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64))
✓	cost-diff	64	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re))
✓	cost-diff	13440	(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓	cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	cost-diff	0	(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	cost-diff	128	(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
✓	cost-diff	12800	(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
✓	cost-diff	0	(sqrt.f64 (log.f64 base))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (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	(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	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))

Rules

5 002×	`lower-*.f32`
4 998×	`lower-*.f64`
2 886×	`cube-prod`
2 292×	`lower-/.f32`
2 282×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	159
0	37	133
1	57	133
2	98	132
3	203	131
4	679	131
5	1804	131
6	1989	131
7	2353	131
8	2997	131
9	3842	131
10	4869	131
11	5300	131
12	5738	131
13	6118	131
14	6560	131
15	7130	131
0	8117	131

Stop Event

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

Calls

Call 1

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

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

localize110.0ms (1%)

Memory

-9.8MiB live, 187.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.9%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re))
✓	accuracy	99.9%	(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓	accuracy	99.8%	(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	accuracy	99.3%	(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
✓	accuracy	98.1%	(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(sqrt.f64 (log.f64 base))
✓	accuracy	99.9%	(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓	accuracy	99.8%	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	accuracy	99.9%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))

Samples

59.0ms	200×	0	invalid
11.0ms	56×	0	valid

Compiler

Compiled 161 to 23 computations (85.7% saved)

Precisions

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

ival-div: 8.0ms (28.2% of total)

ival-log: 5.0ms (17.6% of total)

ival-pow2: 4.0ms (14.1% of total)

ival-mult: 3.0ms (10.6% of total)

ival-exp: 2.0ms (7% of total)

ival-atan2: 2.0ms (7% of total)

ival-sqrt: 2.0ms (7% of total)

ival-neg: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series234.0ms (2.2%)

Memory

-60.4MiB live, 427.4MiB allocated

Counts

16 → 420

Calls

Call 1

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

Outputs
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (* -1 (/ (log (/ 1 base)) (atan2 im re))))))>
#<alt (exp (neg (log (* -1 (/ (log (/ 1 base)) (atan2 im re))))))>
#<alt (exp (neg (log (* -1 (/ (log (/ 1 base)) (atan2 im re))))))>
#<alt (exp (neg (log (* -1 (/ (log (/ 1 base)) (atan2 im re))))))>
#<alt (exp (neg (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))))>
#<alt (exp (neg (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))))>
#<alt (exp (neg (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))))>
#<alt (exp (neg (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (exp (neg (log (/ (log base) (atan2 im re)))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (* -1 (/ (log (/ 1 base)) (atan2 im re)))))>
#<alt (* -1 (log (* -1 (/ (log (/ 1 base)) (atan2 im re)))))>
#<alt (* -1 (log (* -1 (/ (log (/ 1 base)) (atan2 im re)))))>
#<alt (* -1 (log (* -1 (/ (log (/ 1 base)) (atan2 im re)))))>
#<alt (* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))>
#<alt (* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))>
#<alt (* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))>
#<alt (* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (* -1 (log (/ (log base) (atan2 im re))))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (* -1 (/ (log (/ 1 base)) (atan2 im re))))>
#<alt (log (* -1 (/ (log (/ 1 base)) (atan2 im re))))>
#<alt (log (* -1 (/ (log (/ 1 base)) (atan2 im re))))>
#<alt (log (* -1 (/ (log (/ 1 base)) (atan2 im re))))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (log (/ (log base) (atan2 im re)))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>

Calls

105 calls:

Time	Variable		Point	Expression
77.0ms	re	@	inf	(exp (neg (log (/ (log base) (atan2 im re)))))
38.0ms	base	@	0	(exp (neg (log (/ (log base) (atan2 im re)))))
19.0ms	base	@	-inf	(exp (neg (log (/ (log base) (atan2 im re)))))
18.0ms	re	@	-inf	(exp (neg (log (/ (log base) (atan2 im re)))))
18.0ms	im	@	inf	(exp (neg (log (/ (log base) (atan2 im re)))))

simplify450.0ms (4.2%)

Memory

13.1MiB live, 249.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 416×	`lower-fma.f64`
5 416×	`lower-fma.f32`
1 852×	`lower-*.f64`
1 852×	`lower-*.f32`
1 234×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	2800
1	84	2740
2	139	2740
3	299	2740
4	780	2740
5	1728	2740
6	2721	2740
7	3823	2740
8	4743	2740
9	5446	2740
10	5907	2740
11	6212	2740
12	6296	2740
13	6596	2740
14	6807	2740
15	6877	2740
16	6889	2740
17	6889	2740
18	7363	2740
19	7563	2740
20	7563	2740
21	7563	2740
0	7563	2740

Stop Event

1×	iter limit
1×	saturated

Counts

420 → 420

Calls

Call 1

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

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

rewrite159.0ms (1.5%)

Memory

-9.1MiB live, 260.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 236×	`lower-*.f32`
1 232×	`lower-*.f64`
988×	`lower-/.f32`
978×	`lower-/.f64`
614×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	109
0	37	82
1	114	78
2	458	78
0	2688	78

Stop Event

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

Counts

16 → 1 242

Calls

Call 1

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

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

eval394.0ms (3.7%)

Memory: 52.2MiB live, 471.7MiB allocated
Compiler: Compiled 31 175 to 2 906 computations (90.7% saved)

prune192.0ms (1.8%)

Memory

-33.0MiB live, 457.2MiB allocated

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	2 269	2	2 271
Fresh	1	12	13
Picked	1	4	5
Done	0	3	3
Total	2 271	21	2 292

Accuracy

100.0%

Counts

2 292 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
✓	47.2%	(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓	99.5%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
▶	99.3%	(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	47.3%	(/.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
	51.9%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
▶	47.2%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)))
	47.2%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	99.2%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
✓	99.1%	(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (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)) (atan2.f64 im re)) (log.f64 base))
▶	47.4%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (sqrt.f64 (log.f64 base)))
	44.9%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 488 to 336 computations (31.1% saved)

simplify278.0ms (2.6%)

Memory

2.9MiB live, 271.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -3/2 binary64))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (sqrt.f64 (log.f64 base)))
✓	cost-diff	0	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	12800	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	320	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)))
✓	cost-diff	7104	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	cost-diff	13888	(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))

Rules

5 236×	`lower-*.f32`
5 222×	`lower-*.f64`
2 564×	`cube-prod`
2 064×	`lower-/.f32`
2 054×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	174
0	45	213
1	68	191
2	113	141
3	259	141
4	700	141
5	1874	141
6	2032	141
7	2477	141
8	3074	141
9	3979	141
10	4555	141
11	5111	141
12	5704	141
13	6007	141
14	6357	141
15	7984	141
0	8153	141

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (1.1%)

Memory

1.5MiB live, 247.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(sqrt.f64 (log.f64 base))
✓	accuracy	99.8%	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
✓	accuracy	99.7%	(pow.f64 (log.f64 base) #s(literal -3/2 binary64))
✓	accuracy	99.7%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (sqrt.f64 (log.f64 base)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	accuracy	99.7%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	99.9%	(sqrt.f64 (log.f64 base))
✓	accuracy	99.8%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))
✓	accuracy	99.6%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.7%	(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	accuracy	99.7%	(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal 2 binary64))

Samples

47.0ms	134×	0	invalid
29.0ms	122×	0	valid

Compiler

Compiled 176 to 28 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 14.0ms (34.7% of total)

ival-div: 7.0ms (17.3% of total)

ival-pow: 6.0ms (14.9% of total)

ival-pow2: 5.0ms (12.4% of total)

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

ival-atan2: 2.0ms (5% of total)

ival-sqrt: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series105.0ms (1%)

Memory

-0.7MiB live, 42.9MiB allocated

Counts

19 → 444

Calls

Call 1

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

Outputs
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log base) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (* (sqrt -1) (atan2 im re)))>
#<alt (* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (* (sqrt -1) (atan2 im re)))>
#<alt (* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (* (sqrt -1) (atan2 im re)))>
#<alt (* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (* (sqrt -1) (atan2 im re)))>
#<alt (* (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))) (atan2 im re))>
#<alt (sqrt (/ 1 (pow (log base) 3)))>
#<alt (sqrt (/ 1 (pow (log base) 3)))>
#<alt (sqrt (/ 1 (pow (log base) 3)))>
#<alt (sqrt (/ 1 (pow (log base) 3)))>
#<alt (* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (sqrt -1))>
#<alt (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))>
#<alt (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))>
#<alt (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))>
#<alt (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>

Calls

111 calls:

Time	Variable		Point	Expression
90.0ms	base	@	inf	(pow (log base) -3/2)
1.0ms	base	@	inf	(* (atan2 im re) (pow (log base) -3/2))
1.0ms	base	@	-inf	(* (atan2 im re) (pow (log base) -3/2))
1.0ms	base	@	0	(pow (log base) -3/2)
1.0ms	im	@	0	(* (atan2 im re) (pow (log base) -3/2))

simplify288.0ms (2.7%)

Memory

31.5MiB live, 458.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 000×	`lower-fma.f64`
10 000×	`lower-fma.f32`
2 544×	`lower-*.f64`
2 544×	`lower-*.f32`
2 136×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	3016
1	101	2948
2	179	2944
3	435	2936
4	1116	2936
5	3304	2936
6	5925	2936
0	8074	2936

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

rewrite251.0ms (2.4%)

Memory

-43.6MiB live, 333.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 210×	`lower-*.f32`
2 196×	`lower-*.f64`
1 230×	`lower-/.f32`
1 220×	`lower-/.f64`
830×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	129
0	45	133
1	124	89
2	488	89
0	3397	89

Stop Event

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

Counts

19 → 1 620

Calls

Call 1

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

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

eval449.0ms (4.2%)

Memory: 61.2MiB live, 804.9MiB allocated
Compiler: Compiled 48 488 to 4 304 computations (91.1% saved)

prune323.0ms (3%)

Memory

49.9MiB live, 792.9MiB allocated

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	2 998	3	3 001
Fresh	2	7	9
Picked	0	5	5
Done	1	6	7
Total	3 001	21	3 022

Accuracy

100.0%

Counts

3 022 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
✓	47.2%	(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓	99.5%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.3%	(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	47.3%	(/.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	56.9%	(/.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)))
✓	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	99.4%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
	47.2%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	47.2%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)))
	47.2%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
✓	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓	47.4%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (sqrt.f64 (log.f64 base)))
	44.9%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 749 to 315 computations (57.9% saved)

regimes103.0ms (1%)

Memory

-28.5MiB live, 140.8MiB allocated

Accuracy

Total -57.9b remaining (-19503.6%)

Threshold costs -57.9b (-19503.6%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

5 calls:

41.0ms	re
26.0ms	(log.f64 base)
12.0ms	base
11.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
10.0ms	im

Results

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

Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify5.0ms (0%)

Memory

12.4MiB live, 12.4MiB 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

-21.9MiB live, 94.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	43
1	110	37
2	725	32
3	7038	32
0	8481	27

Stop Event

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

Compiler

Compiled 40 to 24 computations (40% saved)

preprocess22.0ms (0.2%)

Memory: 32.6MiB live, 70.5MiB allocated
Compiler: Compiled 80 to 48 computations (40% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze218.0ms (2%)

sample2.0s (18.9%)

preprocess321.0ms (3%)

explain256.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify239.0ms (2.2%)

localize79.0ms (0.7%)

series97.0ms (0.9%)

simplify575.0ms (5.4%)

rewrite381.0ms (3.6%)

eval270.0ms (2.5%)

prune299.0ms (2.8%)

simplify343.0ms (3.2%)

localize101.0ms (0.9%)

series27.0ms (0.3%)

simplify286.0ms (2.7%)

rewrite219.0ms (2.1%)

eval744.0ms (7%)

prune305.0ms (2.9%)

simplify273.0ms (2.6%)

localize110.0ms (1%)

series234.0ms (2.2%)

simplify450.0ms (4.2%)

rewrite159.0ms (1.5%)

eval394.0ms (3.7%)

prune192.0ms (1.8%)

simplify278.0ms (2.6%)

localize121.0ms (1.1%)

series105.0ms (1%)

simplify288.0ms (2.7%)

rewrite251.0ms (2.4%)

eval449.0ms (4.2%)

prune323.0ms (3%)

regimes103.0ms (1%)

simplify5.0ms (0%)

soundness135.0ms (1.3%)

preprocess22.0ms (0.2%)

end0.0ms (0%)

Profiling