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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze210.0ms (2.1%)

Memory

11.7MiB live, 244.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample3.5s (34.2%)

Memory

-236.2MiB live, 2 030.3MiB allocated

Samples

1.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 405.0ms (30.2% of total)

ival-div: 266.0ms (19.8% of total)

ival-log: 206.0ms (15.4% of total)

ival-hypot: 205.0ms (15.3% of total)

ival-atan2: 139.0ms (10.4% of total)

ival-add: 64.0ms (4.8% of total)

ival-sub: 40.0ms (3% of total)

ival-true: 7.0ms (0.5% of total)

exact: 6.0ms (0.4% of total)

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

Bogosity

explain512.0ms (5%)

Memory

2.0MiB live, 441.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
143	-	3	(-3.453823224518743e-180 1.116946396351141e-157 2.2216833342233903e+220)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`im`
0	-	0	-	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`re`
0	-	0	-	`(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`base`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	119	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	119
↳	`(*.f64 re re)`	overflow	68
↳	`(*.f64 im im)`	overflow	65

Confusion

	Predicted +	Predicted -
+	119	21
-	0	116

Precision

1.0

Recall

0.85

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	21
-	0	0	116

Precision?

1.0

Recall?

0.85

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

132.0ms

512×

valid

Compiler

Compiled 389 to 76 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-hypot: 49.0ms (53.2% of total)

ival-mult: 15.0ms (16.3% of total)

ival-log: 13.0ms (14.1% of total)

ival-add: 4.0ms (4.3% of total)

ival-atan2: 4.0ms (4.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

preprocess234.0ms (2.3%)

Memory

10.6MiB live, 168.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.0%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

45.0%

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify174.0ms (1.7%)

Memory

7.6MiB live, 113.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	192	(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
cost-diff	320	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff	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	2420	69
10	2992	69
11	3887	69
12	4668	69
13	5681	69
14	6840	69
15	7178	69
16	7385	69
17	7580	69
18	7787	69
0	8595	58

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (1.2%)

Memory

-3.4MiB live, 83.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.309257519536884	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.3125	(/.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	0.536483789073768	(*.f64 (log.f64 base) (log.f64 base))
accuracy	32.96691520564673	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

106.0ms

256×

valid

Compiler

Compiled 240 to 38 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-atan2: 34.0ms (35.9% of total)

ival-mult: 28.0ms (29.5% of total)

ival-sub: 18.0ms (19% of total)

ival-log: 6.0ms (6.3% of total)

ival-hypot: 4.0ms (4.2% of total)

ival-add: 2.0ms (2.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series221.0ms (2.2%)

Memory

17.0MiB live, 174.4MiB allocated

Counts

7 → 168

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

Calls

9 calls:

Time	Variable		Point	Expression
64.0ms	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)))
46.0ms	im	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
45.0ms	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)))
17.0ms	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)))
14.0ms	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)))

simplify252.0ms (2.5%)

Memory

-0.9MiB live, 182.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1220
1	313	1204
2	988	1202
3	3532	1166
4	6685	1166
0	8331	1132

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

Calls

Call 1

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

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

rewrite417.0ms (4.1%)

Memory

-9.9MiB live, 270.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	39
1	110	37
2	725	32
3	7038	32
0	8481	27

Stop Event

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

Counts

7 → 1 566

Calls

Call 1

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

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

eval331.0ms (3.2%)

Memory: 62.0MiB live, 420.2MiB allocated
Compiler: Compiled 58 597 to 3 463 computations (94.1% saved)

prune85.0ms (0.8%)

Memory

-25.7MiB live, 193.7MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1 715	15	1 730
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 716	15	1 731

Accuracy

100.0%

Counts

1 731 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.2%	(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
	99.2%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
	99.2%	(.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))))
	99.4%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
▶	99.4%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	85.8%	(.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)))
	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
▶	51.6%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))

Compiler

Compiled 342 to 300 computations (12.3% saved)

simplify7.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	192	(.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	12928	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 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	(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))
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: 1 (0.0ms)

Iter	Nodes	Cost
0	21	143
0	36	126
1	51	121
2	72	121
3	109	121
4	129	121
5	153	121
6	155	121
7	161	121
8	166	121
0	166	121

Stop Event

1×	iter limit
1×	saturated
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 -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 (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
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
(.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))
(log.f64 (*.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))
#s(literal 1 binary64)
(atan2.f64 im re)
im
re
(log.f64 base)
base
#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 -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 (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
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#s(literal 1 binary64)
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal -1 binary64)

localize76.0ms (0.7%)

Memory

17.3MiB live, 211.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.21875	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0.9463320461695078	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
accuracy	2.1909181000520577	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0	(log.f64 base)
accuracy	0.13900375976844204	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.1796875	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.27867128907376804	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.1171875	(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy	0.1328125	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.166347509768442	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.1328125	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

31.0ms	136×	0	valid
26.0ms	120×	0	invalid

Compiler

Compiled 288 to 44 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 9.0ms (27.2% of total)

ival-pow: 7.0ms (21.2% of total)

ival-div: 6.0ms (18.2% of total)

ival-log: 5.0ms (15.1% of total)

ival-atan2: 3.0ms (9.1% of total)

ival-exp: 2.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series427.0ms (4.2%)

Memory

-10.2MiB live, 631.9MiB allocated

Counts

15 → 444

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

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

Calls

9 calls:

Time	Variable		Point	Expression
117.0ms	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) -1) (atan2 im re)) (pow (log base) -1) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (/ 1 (atan2 im re)) (log base)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (log (* (/ 1 (atan2 im re)) (log base))) (/ 1 (atan2 im re)))
115.0ms	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) -1) (atan2 im re)) (pow (log base) -1) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (/ 1 (atan2 im re)) (log base)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (log (* (/ 1 (atan2 im re)) (log base))) (/ 1 (atan2 im re)))
44.0ms	re	@	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) -1) (atan2 im re)) (pow (log base) -1) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (/ 1 (atan2 im re)) (log base)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (log (* (/ 1 (atan2 im re)) (log base))) (/ 1 (atan2 im re)))
34.0ms	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) -1) (atan2 im re)) (pow (log base) -1) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (/ 1 (atan2 im re)) (log base)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (log (* (/ 1 (atan2 im re)) (log base))) (/ 1 (atan2 im re)))
27.0ms	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) -1) (atan2 im re)) (pow (log base) -1) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (/ 1 (atan2 im re)) (log base)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (log (* (/ 1 (atan2 im re)) (log base))) (/ 1 (atan2 im re)))

simplify156.0ms (1.5%)

Memory

-25.7MiB live, 132.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	2916
1	74	2864
2	127	2864
3	278	2864
4	661	2864
5	1348	2864
6	2051	2864
7	2859	2864
8	3235	2864
9	3297	2864
10	3303	2864
11	3303	2864
12	3352	2864
13	3370	2864
0	3370	2864

Stop Event

1×	iter limit
1×	saturated

Counts

444 → 444

Calls

Call 1

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

rewrite220.0ms (2.2%)

Memory

24.8MiB live, 344.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	103
0	36	82
1	84	81
2	295	80
3	1558	80
0	8547	80

Stop Event

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

Counts

15 → 1 581

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

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

eval442.0ms (4.3%)

Memory: -20.7MiB live, 625.3MiB allocated
Compiler: Compiled 45 388 to 4 369 computations (90.4% saved)

prune96.0ms (0.9%)

Memory

11.4MiB live, 285.0MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	2 607	13	2 620
Fresh	8	2	10
Picked	2	3	5
Done	0	0	0
Total	2 617	18	2 635

Accuracy

100.0%

Counts

2 635 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	50.0%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
▶	99.6%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (log.f64 base))
▶	99.3%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
	99.3%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
▶	52.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
▶	50.3%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (atan2.f64 im re))
	50.1%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (atan2.f64 im re))
	50.0%	(.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	50.3%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))

Compiler

Compiled 335 to 311 computations (7.2% saved)

simplify26.0ms (0.3%)

Memory

0.1MiB live, 38.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (atan2.f64 im re))
cost-diff	5824	(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
cost-diff	7104	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))
cost-diff	0	(/.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	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (log.f64 base))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	153
0	40	136
1	55	128
2	72	128
3	147	128
4	268	128
5	493	128
6	720	128
7	834	128
8	899	128
9	948	128
10	961	128
0	961	128

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize84.0ms (0.8%)

Memory

25.1MiB live, 249.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 base)
accuracy	0.0390625	(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
accuracy	0.0625	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (atan2.f64 im re))
accuracy	0.13738251953688402	(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64))
accuracy	0.0390625	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
accuracy	0.09212875976844202	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.15072250976844204	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))
accuracy	1.460337925803137	(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0	(log.f64 base)
accuracy	0.015625	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
accuracy	0.06640625	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0.09603500976844201	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.0625	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy	0	(log.f64 base)
accuracy	0.015625	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
accuracy	0.015625	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
accuracy	0.07421875	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (log.f64 base))

Samples

42.0ms	188×	0	invalid
14.0ms	68×	0	valid

Compiler

Compiled 308 to 50 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 16.0ms (47.5% of total)

ival-mult: 3.0ms (8.9% of total)

ival-log: 3.0ms (8.9% of total)

ival-sqrt: 3.0ms (8.9% of total)

ival-pow: 3.0ms (8.9% of total)

ival-atan2: 2.0ms (5.9% of total)

ival-pow2: 2.0ms (5.9% of total)

exact: 1.0ms (3% of total)

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

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

series110.0ms (1.1%)

Memory

-43.6MiB live, 190.1MiB allocated

Counts

16 → 420

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	base	@	0	((/ -1 (/ -1 (atan2 im re))) (/ (/ -1 (/ -1 (atan2 im re))) (log base)) (/ -1 (atan2 im re)) (atan2 im re) (* (/ 1 (log base)) (atan2 im re)) (/ 1 (log base)) (log base) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (pow (log base) 1/2) (* (pow (pow (log base) 1/2) -2) (atan2 im re)) (pow (pow (log base) 1/2) -2))
13.0ms	re	@	0	((/ -1 (/ -1 (atan2 im re))) (/ (/ -1 (/ -1 (atan2 im re))) (log base)) (/ -1 (atan2 im re)) (atan2 im re) (* (/ 1 (log base)) (atan2 im re)) (/ 1 (log base)) (log base) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (pow (log base) 1/2) (* (pow (pow (log base) 1/2) -2) (atan2 im re)) (pow (pow (log base) 1/2) -2))
12.0ms	base	@	-inf	((/ -1 (/ -1 (atan2 im re))) (/ (/ -1 (/ -1 (atan2 im re))) (log base)) (/ -1 (atan2 im re)) (atan2 im re) (* (/ 1 (log base)) (atan2 im re)) (/ 1 (log base)) (log base) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (pow (log base) 1/2) (* (pow (pow (log base) 1/2) -2) (atan2 im re)) (pow (pow (log base) 1/2) -2))
9.0ms	base	@	inf	((/ -1 (/ -1 (atan2 im re))) (/ (/ -1 (/ -1 (atan2 im re))) (log base)) (/ -1 (atan2 im re)) (atan2 im re) (* (/ 1 (log base)) (atan2 im re)) (/ 1 (log base)) (log base) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (pow (log base) 1/2) (* (pow (pow (log base) 1/2) -2) (atan2 im re)) (pow (pow (log base) 1/2) -2))
8.0ms	im	@	0	((/ -1 (/ -1 (atan2 im re))) (/ (/ -1 (/ -1 (atan2 im re))) (log base)) (/ -1 (atan2 im re)) (atan2 im re) (* (/ 1 (log base)) (atan2 im re)) (/ 1 (log base)) (log base) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (pow (sqrt (/ (log base) (atan2 im re))) 2) (/ 1 (pow (sqrt (/ (log base) (atan2 im re))) 2)) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (pow (log base) 1/2) (* (pow (pow (log base) 1/2) -2) (atan2 im re)) (pow (pow (log base) 1/2) -2))

simplify40.0ms (0.4%)

Memory

20.5MiB live, 58.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	2576
1	56	2524
2	76	2524
3	161	2524
4	390	2524
5	750	2524
6	1028	2524
7	1410	2524
8	1478	2524
9	1498	2524
0	1498	2524

Stop Event

1×	iter limit
1×	saturated

Counts

420 → 420

Calls

Call 1

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

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

rewrite149.0ms (1.5%)

Memory

-6.2MiB live, 223.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	106
0	40	87
1	124	77
2	516	77
3	2640	77
0	8836	77

Stop Event

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

Counts

16 → 1 558

Calls

Call 1

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

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

eval369.0ms (3.6%)

Memory: 35.0MiB live, 644.6MiB allocated
Compiler: Compiled 45 225 to 4 186 computations (90.7% saved)

prune295.0ms (2.9%)

Memory

-22.6MiB live, 244.4MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	2 533	8	2 541
Fresh	3	7	10
Picked	2	3	5
Done	0	3	3
Total	2 538	21	2 559

Accuracy

100.0%

Counts

2 559 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	52.6%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
▶	51.7%	(/.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))
	50.3%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
✓	99.6%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (log.f64 base))
✓	99.3%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
▶	51.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
▶	54.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
	50.1%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (atan2.f64 im re))
	50.3%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
	50.2%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal -2 binary64)) (atan2.f64 im re))
	50.3%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))

Compiler

Compiled 373 to 339 computations (9.1% saved)

simplify9.0ms (0.1%)

Memory

-18.7MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re))))
cost-diff	8448	(/.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(sqrt.f64 (atan2.f64 im re))
cost-diff	0	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
cost-diff	7104	(pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	183
0	40	157
1	53	151
2	70	151
3	130	151
4	170	151
5	189	151
6	191	151
7	193	151
0	193	151

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (0.9%)

Memory

26.5MiB live, 146.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re))))
accuracy	0.18425751953688402	(/.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
accuracy	0.18816376953688405	(/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re)))
accuracy	2.475124578415725	(sqrt.f64 (atan2.f64 im re))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
accuracy	0.13671875	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.17578125	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))
accuracy	2.1362994119105747	(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)))
accuracy	0	(log.f64 base)
accuracy	0.13671875	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
accuracy	0.4030075195368841	(pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))
accuracy	2.475124578415725	(sqrt.f64 (atan2.f64 im re))
accuracy	0	(log.f64 base)
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0.1875	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0	(log.f64 base)
accuracy	0.09765625	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
accuracy	0.13671875	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

38.0ms	130×	0	invalid
26.0ms	126×	0	valid

Compiler

Compiled 368 to 48 computations (87% saved)

Precisions

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

ival-atan2: 16.0ms (36.7% of total)

ival-div: 13.0ms (29.9% of total)

ival-log: 3.0ms (6.9% of total)

ival-sqrt: 3.0ms (6.9% of total)

ival-pow: 3.0ms (6.9% of total)

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

ival-pow2: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series150.0ms (1.5%)

Memory

-14.4MiB live, 219.3MiB allocated

Counts

17 → 540

Calls

Call 1

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

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Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	base	@	0	((/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (atan2 im re)) 2) (/ (pow (sqrt (atan2 im re)) 2) (log base)) (sqrt (atan2 im re)) (/ 1 (sqrt (pow (/ (atan2 im re) (log base)) -2))) (sqrt (pow (/ (atan2 im re) (log base)) -2)) (pow (/ (atan2 im re) (log base)) -2) (/ (/ (log base) (sqrt (atan2 im re))) (sqrt (atan2 im re))) (/ 1 (/ (/ (log base) (sqrt (atan2 im re))) (sqrt (atan2 im re)))) (/ (log base) (sqrt (atan2 im re))) (log base))
28.0ms	im	@	0	((/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (atan2 im re)) 2) (/ (pow (sqrt (atan2 im re)) 2) (log base)) (sqrt (atan2 im re)) (/ 1 (sqrt (pow (/ (atan2 im re) (log base)) -2))) (sqrt (pow (/ (atan2 im re) (log base)) -2)) (pow (/ (atan2 im re) (log base)) -2) (/ (/ (log base) (sqrt (atan2 im re))) (sqrt (atan2 im re))) (/ 1 (/ (/ (log base) (sqrt (atan2 im re))) (sqrt (atan2 im re)))) (/ (log base) (sqrt (atan2 im re))) (log base))
11.0ms	re	@	0	((/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (atan2 im re)) 2) (/ (pow (sqrt (atan2 im re)) 2) (log base)) (sqrt (atan2 im re)) (/ 1 (sqrt (pow (/ (atan2 im re) (log base)) -2))) (sqrt (pow (/ (atan2 im re) (log base)) -2)) (pow (/ (atan2 im re) (log base)) -2) (/ (/ (log base) (sqrt (atan2 im re))) (sqrt (atan2 im re))) (/ 1 (/ (/ (log base) (sqrt (atan2 im re))) (sqrt (atan2 im re)))) (/ (log base) (sqrt (atan2 im re))) (log base))
11.0ms	base	@	-inf	((/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (atan2 im re)) 2) (/ (pow (sqrt (atan2 im re)) 2) (log base)) (sqrt (atan2 im re)) (/ 1 (sqrt (pow (/ (atan2 im re) (log base)) -2))) (sqrt (pow (/ (atan2 im re) (log base)) -2)) (pow (/ (atan2 im re) (log base)) -2) (/ (/ (log base) (sqrt (atan2 im re))) (sqrt (atan2 im re))) (/ 1 (/ (/ (log base) (sqrt (atan2 im re))) (sqrt (atan2 im re)))) (/ (log base) (sqrt (atan2 im re))) (log base))
10.0ms	base	@	inf	((/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (atan2 im re)) 2) (/ (pow (sqrt (atan2 im re)) 2) (log base)) (sqrt (atan2 im re)) (/ 1 (sqrt (pow (/ (atan2 im re) (log base)) -2))) (sqrt (pow (/ (atan2 im re) (log base)) -2)) (pow (/ (atan2 im re) (log base)) -2) (/ (/ (log base) (sqrt (atan2 im re))) (sqrt (atan2 im re))) (/ 1 (/ (/ (log base) (sqrt (atan2 im re))) (sqrt (atan2 im re)))) (/ (log base) (sqrt (atan2 im re))) (log base))

simplify166.0ms (1.6%)

Memory

-0.7MiB live, 216.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	3540
1	63	3488
2	125	3488
3	324	3488
4	961	3488
5	2115	3488
6	3899	3488
7	6585	3488
8	7907	3488
0	8011	3488

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

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

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

rewrite193.0ms (1.9%)

Memory

20.1MiB live, 332.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	132
0	40	100
1	122	92
2	532	92
3	3279	92
0	8422	92

Stop Event

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

Counts

17 → 1 736

Calls

Call 1

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

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

eval500.0ms (4.9%)

Memory: 0.7MiB live, 866.2MiB allocated
Compiler: Compiled 47 345 to 3 533 computations (92.5% saved)

prune128.0ms (1.3%)

Memory

3.0MiB live, 348.5MiB allocated

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	3 009	3	3 012
Fresh	1	9	10
Picked	1	4	5
Done	0	6	6
Total	3 011	22	3 033

Accuracy

100.0%

Counts

3 033 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	52.6%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
✓	51.7%	(/.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))
	50.3%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
✓	99.6%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (log.f64 base))
✓	99.3%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
	51.9%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (atan2.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
	51.5%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal -2 binary64)) (log.f64 base)))
✓	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	49.8%	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) (log.f64 base)))
✓	54.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
	50.1%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (atan2.f64 im re))
	50.3%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
	50.2%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal -2 binary64)) (atan2.f64 im re))
	50.3%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))

Compiler

Compiled 677 to 333 computations (50.8% saved)

regimes61.0ms (0.6%)

Memory

27.8MiB live, 227.3MiB allocated

Counts

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

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

Calls

5 calls:

13.0ms	re
12.0ms	(log.f64 base)
11.0ms	im
11.0ms	base
11.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
99.6%	1	`re`
99.6%	1	`im`
99.6%	1	`base`
99.6%	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))))`
99.6%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes14.0ms (0.1%)

Memory

-3.1MiB live, 36.2MiB allocated

Accuracy

Total -0.4b remaining (-129%)

Threshold costs -0.4b (-129%)

Counts

7 → 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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))

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

Calls

5 calls:

3.0ms	(log.f64 base)
3.0ms	(/.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))))
3.0ms	im
3.0ms	re
3.0ms	base

Results

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

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify23.0ms (0.2%)

Memory

-23.1MiB live, 55.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness260.0ms (2.5%)

Memory

-12.2MiB live, 209.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	103
0	36	82
1	84	81
2	295	80
3	1558	80
0	8547	80
0	18	75
0	34	39
1	110	37
2	725	32
3	7038	32
0	8481	27

Stop Event

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

Compiler

Compiled 88 to 56 computations (36.4% saved)

preprocess70.0ms (0.7%)

Memory: -12.8MiB live, 65.7MiB allocated
Compiler: Compiled 88 to 56 computations (36.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	143
0	36	126
1	51	121
2	72	121
3	109	121
4	129	121
5	153	121
6	155	121
7	161	121
8	166	121
0	166	121

Iter	Nodes	Cost
0	24	153
0	40	136
1	55	128
2	72	128
3	147	128
4	268	128
5	493	128
6	720	128
7	834	128
8	899	128
9	948	128
10	961	128
0	961	128

Iter	Nodes	Cost
0	23	183
0	40	157
1	53	151
2	70	151
3	130	151
4	170	151
5	189	151
6	191	151
7	193	151
0	193	151

Iter	Nodes	Cost
0	21	143
0	36	126
1	51	121
2	72	121
3	109	121
4	129	121
5	153	121
6	155	121
7	161	121
8	166	121
0	166	121

Iter	Nodes	Cost
0	24	153
0	40	136
1	55	128
2	72	128
3	147	128
4	268	128
5	493	128
6	720	128
7	834	128
8	899	128
9	948	128
10	961	128
0	961	128

Iter	Nodes	Cost
0	23	183
0	40	157
1	53	151
2	70	151
3	130	151
4	170	151
5	189	151
6	191	151
7	193	151
0	193	151

start0.0ms (0%)

analyze210.0ms (2.1%)

sample3.5s (34.2%)

explain512.0ms (5%)

preprocess234.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify174.0ms (1.7%)

localize119.0ms (1.2%)

series221.0ms (2.2%)

simplify252.0ms (2.5%)

rewrite417.0ms (4.1%)

eval331.0ms (3.2%)

prune85.0ms (0.8%)

simplify7.0ms (0.1%)

localize76.0ms (0.7%)

series427.0ms (4.2%)

simplify156.0ms (1.5%)

rewrite220.0ms (2.2%)

eval442.0ms (4.3%)

prune96.0ms (0.9%)

simplify26.0ms (0.3%)

localize84.0ms (0.8%)

series110.0ms (1.1%)

simplify40.0ms (0.4%)

rewrite149.0ms (1.5%)

eval369.0ms (3.6%)

prune295.0ms (2.9%)

simplify9.0ms (0.1%)

localize91.0ms (0.9%)

series150.0ms (1.5%)

simplify166.0ms (1.6%)

rewrite193.0ms (1.9%)

eval500.0ms (4.9%)

prune128.0ms (1.3%)

regimes61.0ms (0.6%)

regimes14.0ms (0.1%)

simplify23.0ms (0.2%)

soundness260.0ms (2.5%)

preprocess70.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	143
0	36	126
1	51	121
2	72	121
3	109	121
4	129	121
5	153	121
6	155	121
7	161	121
8	166	121
0	166	121

Iter	Nodes	Cost
0	24	153
0	40	136
1	55	128
2	72	128
3	147	128
4	268	128
5	493	128
6	720	128
7	834	128
8	899	128
9	948	128
10	961	128
0	961	128

Iter	Nodes	Cost
0	23	183
0	40	157
1	53	151
2	70	151
3	130	151
4	170	151
5	189	151
6	191	151
7	193	151
0	193	151