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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze254.0ms (3.4%)

Memory

5.6MiB live, 204.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	49.9%	0.1%	0%	49.9%	0%	4
0%	0%	49.9%	0.1%	0%	49.9%	0%	5
0%	0%	49.9%	0.1%	0%	49.9%	0%	6
9.4%	4.7%	45.2%	0.1%	0%	49.9%	0%	7
17.2%	8.6%	41.3%	0.1%	0%	49.9%	0%	8
27.3%	13.7%	36.3%	0.1%	0%	49.9%	0%	9
41%	20.5%	29.4%	0.1%	0%	49.9%	0%	10
48.6%	24.3%	25.6%	0.1%	0%	49.9%	0%	11
57.1%	28.5%	21.4%	0.1%	0%	49.9%	0%	12

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.9s (24.8%)

Memory

-124.7MiB live, 1 907.4MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-hypot: 489.0ms (41.8% of total)

ival-log: 223.0ms (19.1% of total)

ival-mult: 191.0ms (16.3% of total)

ival-atan2: 95.0ms (8.1% of total)

ival-div: 75.0ms (6.4% of total)

ival-add: 41.0ms (3.5% of total)

ival-sub: 41.0ms (3.5% of total)

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

exact: 5.0ms (0.4% of total)

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

Bogosity

explain326.0ms (4.4%)

Memory

-21.5MiB live, 541.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
139	-	-	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	-	`(log.f64 base)`
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	-	-	`(*.f64 re re)`
0	-	-	`(atan2.f64 im re)`
0	-	-	`im`
0	-	-	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	-	`re`
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	-	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	-	`#s(literal 0 binary64)`
0	-	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	-	`(*.f64 im im)`
0	-	-	`base`
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	128	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	128
↳	`(*.f64 re re)`	overflow	79
↳	`(*.f64 im im)`	overflow	73

Confusion

	Predicted +	Predicted -
+	128	11
-	0	117

Precision

1.0

Recall

0.920863309352518

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	11
-	0	0	117

Precision?

1.0

Recall?

0.920863309352518

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

113.0ms

512×

valid

Compiler

Compiled 389 to 76 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-log: 28.0ms (40.7% of total)

ival-mult: 15.0ms (21.8% of total)

ival-hypot: 8.0ms (11.6% of total)

ival-atan2: 6.0ms (8.7% of total)

ival-div: 4.0ms (5.8% of total)

ival-add: 4.0ms (5.8% of total)

ival-sub: 2.0ms (2.9% of total)

ival-true: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

preprocess222.0ms (3%)

Memory

19.3MiB live, 176.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	139
1	205	121
2	438	78
3	851	63
4	1418	63
5	2481	63
6	3298	63
7	3965	63
8	6118	63
9	7940	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	2421	6
10	2993	6
11	3888	6
12	4673	6
13	5718	6
14	6877	6
15	7223	6
16	7430	6
17	7625	6
18	7832	6
0	8645	6

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.4%	(/.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

▶

45.4%

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify192.0ms (2.6%)

Memory

-5.2MiB live, 121.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	77
1	53	75
2	76	71
3	95	69
4	113	69
5	184	69
6	398	69
7	1265	69
8	1939	69
9	2421	69
10	2993	69
11	3888	69
12	4673	69
13	5718	69
14	6877	69
15	7223	69
16	7430	69
17	7625	69
18	7832	69
0	8645	58

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (0.9%)

Memory

-2.9MiB live, 110.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.29296875	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.3359375	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy	0.561542529305326	(*.f64 (log.f64 base) (log.f64 base))
accuracy	32.350091471658665	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

59.0ms

256×

valid

Compiler

Compiled 240 to 38 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 19.0ms (42.1% of total)

ival-log: 8.0ms (17.7% of total)

ival-mult: 7.0ms (15.5% of total)

ival-hypot: 4.0ms (8.9% of total)

ival-add: 2.0ms (4.4% of total)

ival-atan2: 2.0ms (4.4% of total)

ival-sub: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series182.0ms (2.4%)

Memory

-3.3MiB live, 232.2MiB allocated

Counts

7 → 32

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

Calls

9 calls:

Time	Variable		Point	Expression
45.0ms	base	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
34.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
33.0ms	im	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
33.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
9.0ms	re	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))

simplify176.0ms (2.3%)

Memory

9.6MiB live, 234.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	469
1	313	466
2	990	464
3	3569	428
4	6690	428
0	8041	394

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 30

Calls

Call 1

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

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

rewrite279.0ms (3.7%)

Memory

-27.7MiB live, 351.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	39
1	110	37
2	733	32
3	7118	32
0	8561	27

Stop Event

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

Counts

7 → 1 566

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 4 binary64)))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) #s(literal 1 binary64))) (log.f64 base))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(.f64 (.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (log.f64 base))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (log.f64 base))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
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(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 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)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 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)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 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 (log.f64 base) (atan2.f64 im re))) (.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 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 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (atan2.f64 im re) (.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (.f64 (log.f64 base) #s(literal 1 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (*.f64 (log.f64 base) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (log.f64 base) (.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(+.f64 (.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))

eval213.0ms (2.8%)

Memory: 59.5MiB live, 311.4MiB allocated
Compiler: Compiled 35 684 to 2 667 computations (92.5% saved)

prune71.0ms (1%)

Memory

-26.4MiB live, 112.5MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	1 175	22	1 197
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 176	22	1 198

Accuracy

100.0%

Counts

1 198 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.3%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.1%	(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
	86.6%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
▶	99.3%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	87.1%	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	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))))
	99.5%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
▶	99.4%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	87.3%	(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) #s(literal 1 binary64))) (log.f64 base))
	98.9%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
	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)))
	98.8%	(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
	99.1%	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.2%	(.f64 (.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (log.f64 base))
	45.6%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))

Compiler

Compiled 588 to 476 computations (19% saved)

simplify151.0ms (2%)

Memory

-15.4MiB live, 177.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
cost-diff	320	(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
cost-diff	7552	(/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) #s(literal 1 binary64)))
cost-diff	12800	(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) #s(literal 1 binary64))) (log.f64 base))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
cost-diff	0	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	12800	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	166
0	40	144
1	64	144
2	136	144
3	336	140
4	925	140
5	2121	140
6	2592	140
7	3816	140
8	4626	140
9	5386	140
10	5786	140
11	5899	140
12	5905	140
0	8376	140

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (1.1%)

Memory

14.0MiB live, 171.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2890625	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.34299748016428755	(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) #s(literal 1 binary64))) (log.f64 base))
accuracy	0.4967575195368841	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
accuracy	7.757715496247261	(/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) #s(literal 1 binary64)))
accuracy	0.3203125	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.3515625	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
accuracy	0.780815332127029	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	1.0055456177271755	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.29296875	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.35384750976844204	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.5504875488422101	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.33984375	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.39033050937202585	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.2890625	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

62.0ms

256×

valid

Compiler

Compiled 334 to 50 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 15.0ms (34.2% of total)

ival-pow: 10.0ms (22.8% of total)

ival-mult: 7.0ms (16% of total)

ival-pow2: 6.0ms (13.7% of total)

ival-log: 3.0ms (6.8% of total)

ival-atan2: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

series173.0ms (2.3%)

Memory

10.6MiB live, 212.6MiB allocated

Counts

16 → 31

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	im	@	0	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (* (pow (log base) 3) (atan2 im re)) (pow (log base) 4)) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) (* (/ (pow (/ (atan2 im re) (log base)) 2) (* (atan2 im re) 1)) (log base)) (/ (pow (/ (atan2 im re) (log base)) 2) (* (atan2 im re) 1)) (* (atan2 im re) 1) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 4))
36.0ms	re	@	inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (* (pow (log base) 3) (atan2 im re)) (pow (log base) 4)) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) (* (/ (pow (/ (atan2 im re) (log base)) 2) (* (atan2 im re) 1)) (log base)) (/ (pow (/ (atan2 im re) (log base)) 2) (* (atan2 im re) 1)) (* (atan2 im re) 1) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 4))
24.0ms	base	@	-inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (* (pow (log base) 3) (atan2 im re)) (pow (log base) 4)) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) (* (/ (pow (/ (atan2 im re) (log base)) 2) (* (atan2 im re) 1)) (log base)) (/ (pow (/ (atan2 im re) (log base)) 2) (* (atan2 im re) 1)) (* (atan2 im re) 1) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 4))
15.0ms	base	@	inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (* (pow (log base) 3) (atan2 im re)) (pow (log base) 4)) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) (* (/ (pow (/ (atan2 im re) (log base)) 2) (* (atan2 im re) 1)) (log base)) (/ (pow (/ (atan2 im re) (log base)) 2) (* (atan2 im re) 1)) (* (atan2 im re) 1) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 4))
12.0ms	im	@	-inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (* (pow (log base) 3) (atan2 im re)) (pow (log base) 4)) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) (* (/ (pow (/ (atan2 im re) (log base)) 2) (* (atan2 im re) 1)) (log base)) (/ (pow (/ (atan2 im re) (log base)) 2) (* (atan2 im re) 1)) (* (atan2 im re) 1) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 4))

simplify176.0ms (2.4%)

Memory

2.5MiB live, 236.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	244
1	93	234
2	199	234
3	673	234
4	2069	234
5	4419	234
6	6621	234
0	8207	234

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

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

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

rewrite154.0ms (2.1%)

Memory

15.4MiB live, 169.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	119
0	40	90
1	120	90
2	555	86
3	5459	86
0	8665	86

Stop Event

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

Counts

16 → 1 756

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 im re)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 im re)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (log.f64 base)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 im re)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 im re)))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (log.f64 base))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -4 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 -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) #s(literal -1 binary64)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (/.f64 (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)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (log.f64 base) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1 binary64)) (atan2.f64 im re))
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(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
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(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
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(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -1 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64)))
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(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1 binary64))
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(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base))
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(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (log.f64 base)))
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(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -4 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1 binary64))
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(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
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(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 (log.f64 base))))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))

eval239.0ms (3.2%)

Memory: -25.7MiB live, 459.7MiB allocated
Compiler: Compiled 32 965 to 4 208 computations (87.2% saved)

prune45.0ms (0.6%)

Memory

-1.8MiB live, 123.4MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	1 719	12	1 731
Fresh	11	6	17
Picked	1	4	5
Done	0	0	0
Total	1 731	22	1 753

Accuracy

100.0%

Counts

1 753 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
	49.3%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
▶	59.0%	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))
	87.6%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
	99.1%	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.3%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
	49.6%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	49.6%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	49.3%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
✓	99.3%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.2%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	99.1%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	99.1%	(.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.5%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
✓	99.4%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.4%	(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
▶	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	48.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 416 to 372 computations (10.6% saved)

simplify145.0ms (1.9%)

Memory

13.0MiB live, 86.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	13568	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))
cost-diff	5824	(pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))
cost-diff	7104	(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))
cost-diff	12800	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1 binary64))
cost-diff	6080	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	149
0	40	134
1	58	122
2	86	122
3	201	122
4	467	122
5	1345	122
6	2412	122
7	2596	122
8	2815	122
9	3123	122
10	4494	122
11	4990	122
12	5912	122
13	6673	122
14	7243	122
15	7584	122
16	7803	122
17	7895	122
0	8343	122

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (1.3%)

Memory

-9.9MiB live, 145.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 base)
accuracy	0.1796875	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
accuracy	0.203125	(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))
accuracy	0.313163769536884	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.16796875	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))
accuracy	0.46484375	(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy	2.547740029268357	(pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.1953125	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
accuracy	0.2109375	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))
accuracy	0.319355029305326	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.0390625	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0.232753759768442	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.1640625	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
accuracy	0.171875	(pow.f64 (log.f64 base) #s(literal -1 binary64))

Samples

35.0ms	110×	0	invalid
32.0ms	146×	0	valid

Compiler

Compiled 300 to 50 computations (83.3% saved)

Precisions

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

ival-div: 15.0ms (37.3% of total)

ival-pow: 7.0ms (17.4% of total)

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

ival-pow2: 4.0ms (9.9% of total)

ival-log: 3.0ms (7.5% of total)

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

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

exact: 1.0ms (2.5% of total)

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

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

series111.0ms (1.5%)

Memory

-22.2MiB live, 157.4MiB allocated

Counts

16 → 27

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	re	@	inf	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (pow (pow (atan2 im re) 1/2) 2) (pow (atan2 im re) 1/2) (/ (pow (pow (atan2 im re) 1/2) 2) (log base)) (/ (log base) (/ (pow (log base) 2) (atan2 im re))) (/ (pow (log base) 2) (atan2 im re)) (pow (log base) 2))
11.0ms	base	@	-inf	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (pow (pow (atan2 im re) 1/2) 2) (pow (atan2 im re) 1/2) (/ (pow (pow (atan2 im re) 1/2) 2) (log base)) (/ (log base) (/ (pow (log base) 2) (atan2 im re))) (/ (pow (log base) 2) (atan2 im re)) (pow (log base) 2))
10.0ms	im	@	inf	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (pow (pow (atan2 im re) 1/2) 2) (pow (atan2 im re) 1/2) (/ (pow (pow (atan2 im re) 1/2) 2) (log base)) (/ (log base) (/ (pow (log base) 2) (atan2 im re))) (/ (pow (log base) 2) (atan2 im re)) (pow (log base) 2))
10.0ms	base	@	0	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (pow (pow (atan2 im re) 1/2) 2) (pow (atan2 im re) 1/2) (/ (pow (pow (atan2 im re) 1/2) 2) (log base)) (/ (log base) (/ (pow (log base) 2) (atan2 im re))) (/ (pow (log base) 2) (atan2 im re)) (pow (log base) 2))
9.0ms	re	@	-inf	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (* (pow (log base) -2) (atan2 im re)) (log base)) (* (pow (log base) -2) (atan2 im re)) (pow (log base) -2) (pow (pow (atan2 im re) 1/2) 2) (pow (atan2 im re) 1/2) (/ (pow (pow (atan2 im re) 1/2) 2) (log base)) (/ (log base) (/ (pow (log base) 2) (atan2 im re))) (/ (pow (log base) 2) (atan2 im re)) (pow (log base) 2))

simplify191.0ms (2.6%)

Memory

31.3MiB live, 151.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	192
1	59	184
2	102	184
3	264	184
4	776	184
5	1803	184
6	3015	184
7	5378	184
8	6504	184
9	6802	184
10	7058	184
11	7210	184
12	7541	184
0	8031	184

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite212.0ms (2.8%)

Memory

-11.4MiB live, 178.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	108
0	40	93
1	118	81
2	423	81
3	2853	81
0	8370	81

Stop Event

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

Counts

16 → 1 592

Calls

Call 1

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

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

eval360.0ms (4.8%)

Memory: 2.9MiB live, 317.2MiB allocated
Compiler: Compiled 25 313 to 3 984 computations (84.3% saved)

prune124.0ms (1.7%)

Memory

1.5MiB live, 85.5MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	1 476	13	1 489
Fresh	9	4	13
Picked	3	2	5
Done	1	3	4
Total	1 489	22	1 511

Accuracy

100.0%

Counts

1 511 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
	49.3%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	87.6%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
	59.0%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.1%	(/.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)))
▶	46.4%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	59.1%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal -4 binary64)) (log.f64 base)))
	59.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (atan2.f64 im re))))))
✓	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	49.3%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (atan2.f64 im re))
	49.6%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
✓	99.4%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.4%	(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
	59.0%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (sqrt.f64 (atan2.f64 im re)))
▶	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	49.6%	(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
	49.7%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (sqrt.f64 (log.f64 base))) (atan2.f64 im re))
✓	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
▶	49.3%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))

Compiler

Compiled 420 to 369 computations (12.1% saved)

simplify70.0ms (0.9%)

Memory

-10.2MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))
cost-diff	0	(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal -4 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal -4 binary64)) (log.f64 base))
cost-diff	0	(log.f64 (log.f64 base))
cost-diff	0	(neg.f64 (log.f64 (log.f64 base)))
cost-diff	6080	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
cost-diff	6464	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
cost-diff	7104	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 base))
cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
cost-diff	-5760	(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	6080	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	166
0	46	156
1	64	148
2	86	148
3	127	148
4	199	148
5	330	148
6	579	148
7	842	148
8	991	148
9	1049	148
10	1067	148
11	1072	148
0	1072	148

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize99.0ms (1.3%)

Memory

6.1MiB live, 86.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal -4 binary64)) (log.f64 base)))
accuracy	0.10384750976844201	(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal -4 binary64)) (log.f64 base))
accuracy	0.23570253907376804	(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal -4 binary64))
accuracy	1.199923617779514	(pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.01171875	(log.f64 (log.f64 base))
accuracy	0.07421875	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
accuracy	0.2842751465266303	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
accuracy	0.05078125	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
accuracy	0.0859375	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.139003759768442	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))
accuracy	1.2121694089871098	(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.0	(log.f64 base)
accuracy	0.0078125	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
accuracy	0.0703125	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0.09765625	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.0703125	(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy	0.07421875	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))

Samples

41.0ms	187×	0	invalid
15.0ms	69×	0	valid

Compiler

Compiled 334 to 56 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 10.0ms (27% of total)

ival-pow: 7.0ms (18.9% of total)

ival-log: 6.0ms (16.2% of total)

ival-mult: 4.0ms (10.8% of total)

ival-exp: 2.0ms (5.4% of total)

ival-atan2: 2.0ms (5.4% of total)

ival-sqrt: 2.0ms (5.4% of total)

ival-pow2: 2.0ms (5.4% of total)

exact: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

series516.0ms (6.9%)

Memory

27.6MiB live, 499.4MiB allocated

Counts

19 → 34

Calls

Call 1

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

Outputs
(/ (atan2 im re) (log base))
(atan2 im re)
(/ -1 (atan2 im re))
(/ (log base) (atan2 im re))
(sqrt (/ (log base) (atan2 im re)))
(* (exp (neg (log (log base)))) (atan2 im re))
(/ 1 (atan2 im re))
(pow (* 1 (atan2 im re)) 1/4)
(log base)
(/ 1 (log base))
(/ -1 (log base))
(exp (neg (log (log base))))
(* -1 (log (log base)))
(log (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (log (/ 1 base)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* (sqrt (/ (log (/ 1 base)) (atan2 im re))) (sqrt -1))
(exp (neg (log (* -1 (log (/ 1 base))))))
(* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))
(* -1 (log (* -1 (log (/ 1 base)))))
(log (* -1 (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(exp (neg (log (+ (log -1) (* -1 (log (/ -1 base)))))))
(* (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base))))))) (atan2 im re))
(* -1 (log (+ (log -1) (* -1 (log (/ -1 base))))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))

Calls

9 calls:

Time	Variable		Point	Expression
158.0ms	im	@	-inf	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (/ -1 (atan2 im re)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (exp (neg (log (log base)))) (* (exp (neg (log (log base)))) (atan2 im re)) (neg (log (log base))) (log (log base)) (* (pow (pow (atan2 im re) 1/4) -4) (log base)) (pow (pow (atan2 im re) 1/4) -4) (pow (atan2 im re) 1/4) (/ 1 (* (pow (pow (atan2 im re) 1/4) -4) (log base))))
80.0ms	re	@	0	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (/ -1 (atan2 im re)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (exp (neg (log (log base)))) (* (exp (neg (log (log base)))) (atan2 im re)) (neg (log (log base))) (log (log base)) (* (pow (pow (atan2 im re) 1/4) -4) (log base)) (pow (pow (atan2 im re) 1/4) -4) (pow (atan2 im re) 1/4) (/ 1 (* (pow (pow (atan2 im re) 1/4) -4) (log base))))
79.0ms	re	@	inf	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (/ -1 (atan2 im re)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (exp (neg (log (log base)))) (* (exp (neg (log (log base)))) (atan2 im re)) (neg (log (log base))) (log (log base)) (* (pow (pow (atan2 im re) 1/4) -4) (log base)) (pow (pow (atan2 im re) 1/4) -4) (pow (atan2 im re) 1/4) (/ 1 (* (pow (pow (atan2 im re) 1/4) -4) (log base))))
53.0ms	im	@	inf	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (/ -1 (atan2 im re)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (exp (neg (log (log base)))) (* (exp (neg (log (log base)))) (atan2 im re)) (neg (log (log base))) (log (log base)) (* (pow (pow (atan2 im re) 1/4) -4) (log base)) (pow (pow (atan2 im re) 1/4) -4) (pow (atan2 im re) 1/4) (/ 1 (* (pow (pow (atan2 im re) 1/4) -4) (log base))))
49.0ms	re	@	-inf	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (/ -1 (atan2 im re)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (exp (neg (log (log base)))) (* (exp (neg (log (log base)))) (atan2 im re)) (neg (log (log base))) (log (log base)) (* (pow (pow (atan2 im re) 1/4) -4) (log base)) (pow (pow (atan2 im re) 1/4) -4) (pow (atan2 im re) 1/4) (/ 1 (* (pow (pow (atan2 im re) 1/4) -4) (log base))))

simplify47.0ms (0.6%)

Memory

-11.4MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	224
1	87	210
2	166	210
3	281	210
4	552	210
5	786	210
6	1091	210
7	1268	210
8	1326	210
9	1346	210
0	1346	210

Stop Event

1×	iter limit
1×	saturated

Counts

34 → 34

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(atan2 im re)
(/ -1 (atan2 im re))
(/ (log base) (atan2 im re))
(sqrt (/ (log base) (atan2 im re)))
(* (exp (neg (log (log base)))) (atan2 im re))
(/ 1 (atan2 im re))
(pow (* 1 (atan2 im re)) 1/4)
(log base)
(/ 1 (log base))
(/ -1 (log base))
(exp (neg (log (log base))))
(* -1 (log (log base)))
(log (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (log (/ 1 base)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* (sqrt (/ (log (/ 1 base)) (atan2 im re))) (sqrt -1))
(exp (neg (log (* -1 (log (/ 1 base))))))
(* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))
(* -1 (log (* -1 (log (/ 1 base)))))
(log (* -1 (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(exp (neg (log (+ (log -1) (* -1 (log (/ -1 base)))))))
(* (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base))))))) (atan2 im re))
(* -1 (log (+ (log -1) (* -1 (log (/ -1 base))))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))

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

rewrite141.0ms (1.9%)

Memory

28.8MiB live, 183.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	124
0	46	104
1	136	94
2	549	94
3	3002	94
0	8084	94

Stop Event

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

Counts

19 → 1 425

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base)))) (neg.f64 (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) #s(literal -1 binary64))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1/4 binary64)) #s(literal -4 binary64))
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eval218.0ms (2.9%)

Memory: -10.5MiB live, 267.4MiB allocated
Compiler: Compiled 17 943 to 3 493 computations (80.5% saved)

prune41.0ms (0.5%)

Memory

-0.1MiB live, 115.4MiB allocated

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	1 157	4	1 161
Fresh	6	6	12
Picked	2	3	5
Done	0	5	5
Total	1 165	18	1 183

Accuracy

100.0%

Counts

1 183 → 18

Alt Table

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Status	Accuracy	Program
	49.0%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1/4 binary64)) #s(literal -4 binary64))
	49.3%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	46.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
	87.6%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
	59.0%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.1%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	46.4%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	59.1%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 im re))) #s(literal -4 binary64)) (log.f64 base)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	49.3%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (atan2.f64 im re))
	49.6%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
✓	99.4%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	59.0%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)))
✓	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	49.7%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (sqrt.f64 (log.f64 base))) (atan2.f64 im re))
✓	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))

Compiler

Compiled 812 to 329 computations (59.5% saved)

regimes83.0ms (1.1%)

Memory

-9.3MiB live, 194.8MiB allocated

Accuracy

Total -56.3b remaining (-19460.1%)

Threshold costs -56.3b (-19460.1%)

Counts

52 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (sqrt.f64 (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 im re))) #s(literal -4 binary64)) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (atan2.f64 im re))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (atan2.f64 im re))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1/4 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal -4 binary64)) (log.f64 base)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (sqrt.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(.f64 (.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) #s(literal 1 binary64))) (log.f64 base))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))

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

Calls

5 calls:

18.0ms	(log.f64 base)
17.0ms	re
16.0ms	(/.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))))
15.0ms	base
14.0ms	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 33 to 31 computations (6.1% saved)

simplify7.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness136.0ms (1.8%)

Memory

-15.9MiB live, 95.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	39
1	110	37
2	733	32
3	7118	32
0	8561	27

Stop Event

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

preprocess15.0ms (0.2%)

Memory: 24.9MiB live, 24.9MiB allocated
Compiler: Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze254.0ms (3.4%)

sample1.9s (24.8%)

explain326.0ms (4.4%)

preprocess222.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify192.0ms (2.6%)

localize71.0ms (0.9%)

series182.0ms (2.4%)

simplify176.0ms (2.3%)

rewrite279.0ms (3.7%)

eval213.0ms (2.8%)

prune71.0ms (1%)

simplify151.0ms (2%)

localize84.0ms (1.1%)

series173.0ms (2.3%)

simplify176.0ms (2.4%)

rewrite154.0ms (2.1%)

eval239.0ms (3.2%)

prune45.0ms (0.6%)

simplify145.0ms (1.9%)

localize98.0ms (1.3%)

series111.0ms (1.5%)

simplify191.0ms (2.6%)

rewrite212.0ms (2.8%)

eval360.0ms (4.8%)

prune124.0ms (1.7%)

simplify70.0ms (0.9%)

localize99.0ms (1.3%)

series516.0ms (6.9%)

simplify47.0ms (0.6%)

rewrite141.0ms (1.9%)

eval218.0ms (2.9%)

prune41.0ms (0.5%)

regimes83.0ms (1.1%)

simplify7.0ms (0.1%)

soundness136.0ms (1.8%)

preprocess15.0ms (0.2%)

end0.0ms (0%)

Profiling