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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze156.0ms (2.1%)

Memory

14.0MiB live, 248.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.8s (24.8%)

Memory

13.3MiB live, 1 509.0MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 990.0ms

ival-log: 264.0ms (26.7% of total)

ival-hypot: 220.0ms (22.2% of total)

ival-mult: 218.0ms (22% of total)

ival-sub: 80.0ms (8.1% of total)

ival-div: 78.0ms (7.9% of total)

ival-atan2: 77.0ms (7.8% of total)

ival-add: 37.0ms (3.7% of total)

ival-true: 7.0ms (0.7% of total)

exact: 6.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain453.0ms (6.2%)

Memory

-0.3MiB live, 235.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	1	(8.924489912871946e-162 -1.3275390115329622e-201 1.2506585988555464e+56)	`(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	105	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	105
↳	`(*.f64 re re)`	overflow	49
↳	`(*.f64 im im)`	overflow	69

Confusion

	Predicted +	Predicted -
+	105	16
-	0	135

Precision

1.0

Recall

0.8677685950413223

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	105	0	16
-	0	0	135

Precision?

1.0

Recall?

0.8677685950413223

Freqs

test

number	freq
0	151
1	105

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms

512×

valid

Compiler

Compiled 389 to 76 computations (80.5% saved)

Precisions

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

ival-mult: 32.0ms (46.4% of total)

ival-log: 13.0ms (18.9% of total)

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

ival-add: 5.0ms (7.3% of total)

ival-atan2: 4.0ms (5.8% of total)

ival-div: 3.0ms (4.4% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess250.0ms (3.4%)

Memory

13.5MiB live, 131.0MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

52.4%

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify183.0ms (2.5%)

Memory

-1.5MiB live, 81.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	77
1	53	75
2	76	71
3	95	69
4	113	69
5	184	69
6	398	69
7	1265	69
8	1939	69
9	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)

localize112.0ms (1.5%)

Memory

-25.3MiB live, 87.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3203125	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.33984375	(/.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	0.49609375	(*.f64 (log.f64 base) (log.f64 base))
accuracy	28.32581322165736	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

77.0ms

256×

valid

Compiler

Compiled 240 to 38 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-add: 39.0ms (59.6% of total)

ival-mult: 11.0ms (16.8% of total)

ival-log: 6.0ms (9.2% of total)

ival-hypot: 4.0ms (6.1% of total)

ival-atan2: 2.0ms (3.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series183.0ms (2.5%)

Memory

6.1MiB live, 155.0MiB allocated

Counts

7 → 32

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
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)))
45.0ms	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)))
18.0ms	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)))
13.0ms	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)))
12.0ms	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)))

simplify207.0ms (2.8%)

Memory

-22.9MiB live, 285.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	469
1	313	466
2	988	464
3	3532	428
4	6685	428
0	8331	394

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 30

Calls

Call 1

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

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

rewrite251.0ms (3.4%)

Memory

2.3MiB live, 363.2MiB 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)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
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(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))

eval222.0ms (3%)

Memory: 36.5MiB live, 273.1MiB allocated
Compiler: Compiled 35 684 to 2 671 computations (92.5% saved)

prune55.0ms (0.8%)

Memory

-26.8MiB live, 95.8MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	1 176	21	1 197
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 177	21	1 198

Accuracy

100.0%

Counts

1 198 → 21

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)))
	99.2%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.3%	(/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.1%	(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
	86.6%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	99.2%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	87.1%	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	99.0%	(.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))))
	99.2%	(.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)) (atan2.f64 im re))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
▶	99.2%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.0%	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
▶	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	99.2%	(.f64 (.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (log.f64 base))
	48.6%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))

Compiler

Compiled 548 to 444 computations (19% saved)

simplify219.0ms (3%)

Memory

2.7MiB live, 166.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	20352	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 4 binary64))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	0	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	6080	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
cost-diff	6720	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	161
0	40	138
1	64	138
2	117	138
3	287	138
4	708	138
5	1743	138
6	2250	138
7	3198	138
8	4488	138
9	5175	138
10	5843	138
11	6211	138
12	6308	138
13	6308	138
14	6411	138
15	6815	138
16	7251	138
17	7744	138
0	8040	138

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (1.4%)

Memory

-12.1MiB live, 147.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2890625	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.35775375976844204	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0.4544525390737681	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
accuracy	7.988759473314354	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0.26953125	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.45580196224960445	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
accuracy	0.7006990235163768	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.8515742677274275	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0	(log.f64 base)
accuracy	0.34994125976844204	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
accuracy	0.37728500976844204	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
accuracy	0.5361900879159781	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.28515625	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.3960506730684987	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.2890625	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

67.0ms

256×

valid

Compiler

Compiled 324 to 50 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 19.0ms (39.5% of total)

ival-pow: 10.0ms (20.8% of total)

ival-mult: 7.0ms (14.5% of total)

ival-atan2: 5.0ms (10.4% of total)

ival-log: 3.0ms (6.2% of total)

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

exact: 1.0ms (2.1% of total)

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

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

series179.0ms (2.4%)

Memory

11.1MiB live, 168.0MiB allocated

Counts

15 → 28

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
55.0ms	im	@	inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3)) (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 4) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 3))
35.0ms	re	@	inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3)) (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 4) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 3))
32.0ms	base	@	inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3)) (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 4) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 3))
11.0ms	im	@	-inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3)) (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 4) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 3))
11.0ms	base	@	-inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3)) (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 4) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 3))

simplify124.0ms (1.7%)

Memory

-0.6MiB live, 156.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	209
1	76	200
2	147	200
3	431	200
4	1309	200
5	4006	200
6	6820	200
0	8056	200

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

Calls

Call 1

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

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

rewrite190.0ms (2.6%)

Memory

5.0MiB live, 197.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	109
0	40	79
1	113	79
2	535	79
0	3865	79

Stop Event

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

Counts

15 → 2 052

Calls

Call 1

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

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

eval173.0ms (2.4%)

Memory: 10.9MiB live, 437.0MiB allocated
Compiler: Compiled 30 093 to 3 271 computations (89.1% saved)

prune40.0ms (0.5%)

Memory

4.9MiB live, 121.3MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 469	19	1 488
Fresh	13	3	16
Picked	2	3	5
Done	0	0	0
Total	1 484	25	1 509

Accuracy

100.0%

Counts

1 509 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	49.1%	(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	87.5%	(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
	86.6%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.5%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (log.f64 base))
	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
	48.0%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 base))))
	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base))))
	53.7%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
▶	49.1%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
▶	93.2%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) (atan2.f64 im re))
	87.5%	(*.f64 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
	99.3%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re))
▶	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (atan2.f64 im re))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
▶	99.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (atan2.f64 im re))
	48.8%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
	50.1%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 557 to 459 computations (17.6% saved)

simplify101.0ms (1.4%)

Memory

5.8MiB live, 100.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
cost-diff	6080	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) (atan2.f64 im re))
cost-diff	8704	(/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	6080	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (atan2.f64 im re))
cost-diff	6720	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
cost-diff	6080	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
cost-diff	6464	(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	-5760	(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	6080	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
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: 4 (0.0ms)

Iter	Nodes	Cost
0	25	178
0	43	140
1	71	130
2	147	130
3	493	130
4	2316	128
5	3878	128
6	6687	128
0	8288	128

Stop Event

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

localize91.0ms (1.2%)

Memory

16.0MiB live, 169.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
accuracy	0.14453125	(/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
accuracy	0.203125	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) (atan2.f64 im re))
accuracy	1.875210685311056	(/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.17025375976844204	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
accuracy	0.203125	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (atan2.f64 im re))
accuracy	0.23046875	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0	(log.f64 base)
accuracy	0.0703125	(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
accuracy	0.203125	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
accuracy	0.303730029305326	(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.13671875	(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy	0.203125	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
accuracy	0	(log.f64 base)
accuracy	0.0546875	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
accuracy	0.05859375	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
accuracy	0.171875	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (log.f64 base))

Samples

35.0ms	129×	0	invalid
29.0ms	127×	0	valid

Compiler

Compiled 358 to 52 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 12.0ms (31.8% of total)

ival-pow2: 8.0ms (21.2% of total)

ival-mult: 7.0ms (18.5% of total)

ival-atan2: 3.0ms (7.9% of total)

ival-log: 3.0ms (7.9% of total)

ival-pow: 3.0ms (7.9% of total)

exact: 1.0ms (2.6% of total)

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

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

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

series87.0ms (1.2%)

Memory

-20.2MiB live, 173.9MiB allocated

Counts

17 → 23

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	re	@	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)) (log base) (/ 1 (log base)) (pow (pow (log base) -1/2) 2) (* (pow (pow (log base) -1/2) 2) (atan2 im re)) (pow (log base) -1/2) (* (/ 1 (pow (log base) 2)) (log base)) (* (* (/ 1 (pow (log base) 2)) (log base)) (atan2 im re)) (/ 1 (pow (log base) 2)) (pow (log base) 2) (/ (/ -1 (atan2 im re)) (/ (neg (log base)) (atan2 im re))) (* (/ (/ -1 (atan2 im re)) (/ (neg (log base)) (atan2 im re))) (atan2 im re)) (/ (neg (log base)) (atan2 im re)))
11.0ms	im	@	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)) (log base) (/ 1 (log base)) (pow (pow (log base) -1/2) 2) (* (pow (pow (log base) -1/2) 2) (atan2 im re)) (pow (log base) -1/2) (* (/ 1 (pow (log base) 2)) (log base)) (* (* (/ 1 (pow (log base) 2)) (log base)) (atan2 im re)) (/ 1 (pow (log base) 2)) (pow (log base) 2) (/ (/ -1 (atan2 im re)) (/ (neg (log base)) (atan2 im re))) (* (/ (/ -1 (atan2 im re)) (/ (neg (log base)) (atan2 im re))) (atan2 im re)) (/ (neg (log base)) (atan2 im re)))
10.0ms	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)) (log base) (/ 1 (log base)) (pow (pow (log base) -1/2) 2) (* (pow (pow (log base) -1/2) 2) (atan2 im re)) (pow (log base) -1/2) (* (/ 1 (pow (log base) 2)) (log base)) (* (* (/ 1 (pow (log base) 2)) (log base)) (atan2 im re)) (/ 1 (pow (log base) 2)) (pow (log base) 2) (/ (/ -1 (atan2 im re)) (/ (neg (log base)) (atan2 im re))) (* (/ (/ -1 (atan2 im re)) (/ (neg (log base)) (atan2 im re))) (atan2 im re)) (/ (neg (log base)) (atan2 im re)))
10.0ms	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)) (log base) (/ 1 (log base)) (pow (pow (log base) -1/2) 2) (* (pow (pow (log base) -1/2) 2) (atan2 im re)) (pow (log base) -1/2) (* (/ 1 (pow (log base) 2)) (log base)) (* (* (/ 1 (pow (log base) 2)) (log base)) (atan2 im re)) (/ 1 (pow (log base) 2)) (pow (log base) 2) (/ (/ -1 (atan2 im re)) (/ (neg (log base)) (atan2 im re))) (* (/ (/ -1 (atan2 im re)) (/ (neg (log base)) (atan2 im re))) (atan2 im re)) (/ (neg (log base)) (atan2 im re)))
9.0ms	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)) (log base) (/ 1 (log base)) (pow (pow (log base) -1/2) 2) (* (pow (pow (log base) -1/2) 2) (atan2 im re)) (pow (log base) -1/2) (* (/ 1 (pow (log base) 2)) (log base)) (* (* (/ 1 (pow (log base) 2)) (log base)) (atan2 im re)) (/ 1 (pow (log base) 2)) (pow (log base) 2) (/ (/ -1 (atan2 im re)) (/ (neg (log base)) (atan2 im re))) (* (/ (/ -1 (atan2 im re)) (/ (neg (log base)) (atan2 im re))) (atan2 im re)) (/ (neg (log base)) (atan2 im re)))

simplify103.0ms (1.4%)

Memory

28.0MiB live, 66.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	156
1	65	149
2	112	148
3	253	147
4	644	147
5	1353	147
6	2022	147
7	3306	147
8	3755	147
9	3825	147
10	3827	147
11	3827	147
12	3829	147
0	3829	147

Stop Event

1×	iter limit
1×	saturated

Counts

23 → 23

Calls

Call 1

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

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

rewrite128.0ms (1.7%)

Memory

-19.0MiB live, 182.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	43	88
1	134	78
2	616	78
0	3368	78

Stop Event

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

Counts

17 → 1 441

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

Outputs
(atan2.f64 im re)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.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 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(/.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(neg.f64 (neg.f64 (atan2.f64 im re)))
(-.f64 #s(literal 0 binary64) (neg.f64 (atan2.f64 im re)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(.f64 (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base)))
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eval122.0ms (1.7%)

Memory: 28.1MiB live, 294.3MiB allocated
Compiler: Compiled 19 687 to 3 056 computations (84.5% saved)

prune36.0ms (0.5%)

Memory

-21.9MiB live, 93.7MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	1 063	9	1 072
Fresh	6	11	17
Picked	3	2	5
Done	0	3	3
Total	1 072	25	1 097

Accuracy

100.0%

Counts

1 097 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	87.6%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	87.5%	(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
▶	49.2%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
✓	99.5%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (log.f64 base))
	98.9%	(/.f64 (neg.f64 (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
▶	53.7%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
	48.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (atan2.f64 im re))
	87.5%	(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (neg.f64 (log.f64 base))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
▶	93.5%	(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (atan2.f64 im re))) (atan2.f64 im re))
	49.1%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (atan2.f64 im re))
	87.6%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base)) (.f64 (neg.f64 (atan2.f64 im re)) (atan2.f64 im re)))
▶	99.3%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re))
	49.1%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (atan2.f64 im re))
✓	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	48.8%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
	50.1%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 505 to 424 computations (16% saved)

simplify432.0ms (5.9%)

Memory

-209.1MiB live, 197.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(atan2.f64 im re)
cost-diff	320	(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (atan2.f64 im re))) (atan2.f64 im re))
cost-diff	13248	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
cost-diff	0	(sqrt.f64 (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
cost-diff	8384	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	0	(log.f64 base)
cost-diff	320	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re))
cost-diff	12864	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	160
0	38	155
1	57	153
2	86	127
3	270	127
4	1857	127
5	2350	127
6	3060	127
7	4660	127
8	5587	127
9	6352	127
10	7393	127
11	7803	127
12	7943	127
13	7943	127
0	8532	127

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (2.4%)

Memory

22.6MiB live, 273.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 base)
accuracy	0.17578125	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.203125	(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (atan2.f64 im re))) (atan2.f64 im re))
accuracy	1.625263021644515	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0	(log.f64 base)
accuracy	0.0703125	(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
accuracy	0.203125	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
accuracy	0.23046875	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0	(log.f64 base)
accuracy	0.0546875	(sqrt.f64 (log.f64 base))
accuracy	0.17578125	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
accuracy	0.18359375	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
accuracy	0	(log.f64 base)
accuracy	0.0546875	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.18197250976844204	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0.2749569230684987	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0	(log.f64 base)
accuracy	0.166347509768442	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.203125	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re))
accuracy	0.23046875	(pow.f64 (log.f64 base) #s(literal 2 binary64))

Samples

79.0ms	129×	0	invalid
56.0ms	127×	0	valid

Compiler

Compiled 322 to 46 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 27.0ms (38.6% of total)

ival-div: 14.0ms (20% of total)

ival-pow: 11.0ms (15.7% of total)

ival-log: 6.0ms (8.6% of total)

ival-pow2: 5.0ms (7.2% of total)

ival-atan2: 3.0ms (4.3% of total)

ival-sqrt: 3.0ms (4.3% of total)

exact: 1.0ms (1.4% of total)

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

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

series96.0ms (1.3%)

Memory

-19.6MiB live, 218.9MiB allocated

Counts

16 → 26

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	re	@	inf	((/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (atan2 im re)) (log base) (pow (log base) 2) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (sqrt (log base)) (* (pow (pow (log base) 2) -1/2) (atan2 im re)) (pow (pow (log base) 2) -1/2) (/ (atan2 im re) (* (log base) (atan2 im re))) (* (/ (atan2 im re) (* (log base) (atan2 im re))) (atan2 im re)) (* (log base) (atan2 im re)))
14.0ms	re	@	0	((/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (atan2 im re)) (log base) (pow (log base) 2) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (sqrt (log base)) (* (pow (pow (log base) 2) -1/2) (atan2 im re)) (pow (pow (log base) 2) -1/2) (/ (atan2 im re) (* (log base) (atan2 im re))) (* (/ (atan2 im re) (* (log base) (atan2 im re))) (atan2 im re)) (* (log base) (atan2 im re)))
14.0ms	re	@	-inf	((/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (atan2 im re)) (log base) (pow (log base) 2) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (sqrt (log base)) (* (pow (pow (log base) 2) -1/2) (atan2 im re)) (pow (pow (log base) 2) -1/2) (/ (atan2 im re) (* (log base) (atan2 im re))) (* (/ (atan2 im re) (* (log base) (atan2 im re))) (atan2 im re)) (* (log base) (atan2 im re)))
10.0ms	base	@	-inf	((/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (atan2 im re)) (log base) (pow (log base) 2) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (sqrt (log base)) (* (pow (pow (log base) 2) -1/2) (atan2 im re)) (pow (pow (log base) 2) -1/2) (/ (atan2 im re) (* (log base) (atan2 im re))) (* (/ (atan2 im re) (* (log base) (atan2 im re))) (atan2 im re)) (* (log base) (atan2 im re)))
10.0ms	base	@	inf	((/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (atan2 im re)) (log base) (pow (log base) 2) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (sqrt (log base)) (* (pow (pow (log base) 2) -1/2) (atan2 im re)) (pow (pow (log base) 2) -1/2) (/ (atan2 im re) (* (log base) (atan2 im re))) (* (/ (atan2 im re) (* (log base) (atan2 im re))) (atan2 im re)) (* (log base) (atan2 im re)))

simplify182.0ms (2.5%)

Memory

-6.1MiB live, 73.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	184
1	79	176
2	133	175
3	274	175
4	633	175
5	1383	175
6	2407	175
7	3455	175
8	4016	175
9	4095	175
10	4122	175
11	4139	175
12	4150	175
13	4304	175
14	4373	175
15	4374	175
16	4374	175
17	4374	175
18	4382	175
0	4382	175

Stop Event

1×	iter limit
1×	saturated

Counts

26 → 26

Calls

Call 1

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

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

rewrite156.0ms (2.1%)

Memory

10.3MiB live, 292.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	117
0	38	114
1	112	112
2	451	78
3	3296	78
0	8149	78

Stop Event

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

Counts

16 → 2 277

Calls

Call 1

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

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

eval365.0ms (5%)

Memory: 11.0MiB live, 520.5MiB allocated
Compiler: Compiled 51 366 to 6 373 computations (87.6% saved)

prune66.0ms (0.9%)

Memory

-7.3MiB live, 196.0MiB allocated

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	2 601	13	2 614
Fresh	8	7	15
Picked	1	4	5
Done	0	5	5
Total	2 610	29	2 639

Accuracy

100.0%

Counts

2 639 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	87.6%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
	49.1%	(/.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	87.5%	(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
✓	49.2%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
✓	99.5%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (log.f64 base))
	48.8%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (atan2.f64 im re)))
	98.9%	(/.f64 (neg.f64 (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
	49.2%	(/.f64 #s(approx (/ (atan2 im re) (sqrt (log base))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))) (sqrt.f64 (log.f64 base)))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))))
	48.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
	48.1%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
	48.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
✓	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	53.7%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
	48.8%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal -4 binary64)) (atan2.f64 im re))
	48.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (atan2.f64 im re))
	49.0%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)) (atan2.f64 im re))
	49.1%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
	99.2%	(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (neg.f64 (log.f64 base)))
	87.5%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (atan2.f64 im re)) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
✓	99.3%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re))
✓	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	50.1%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 1 141 to 485 computations (57.5% saved)

regimes95.0ms (1.3%)

Memory

2.9MiB live, 151.7MiB allocated

Accuracy

Total -57.4b remaining (-19873.4%)

Threshold costs -57.4b (-19873.4%)

Counts

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

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

Calls

5 calls:

21.0ms	(/.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))))
19.0ms	re
18.0ms	(log.f64 base)
18.0ms	im
16.0ms	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)

simplify26.0ms (0.4%)

Memory

15.7MiB live, 52.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness134.0ms (1.8%)

Memory

-18.4MiB live, 102.0MiB 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×	fuel
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 34 to 24 computations (29.4% saved)

preprocess16.0ms (0.2%)

Memory: 12.6MiB live, 51.3MiB allocated
Compiler: Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze156.0ms (2.1%)

sample1.8s (24.8%)

explain453.0ms (6.2%)

preprocess250.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify183.0ms (2.5%)

localize112.0ms (1.5%)

series183.0ms (2.5%)

simplify207.0ms (2.8%)

rewrite251.0ms (3.4%)

eval222.0ms (3%)

prune55.0ms (0.8%)

simplify219.0ms (3%)

localize105.0ms (1.4%)

series179.0ms (2.4%)

simplify124.0ms (1.7%)

rewrite190.0ms (2.6%)

eval173.0ms (2.4%)

prune40.0ms (0.5%)

simplify101.0ms (1.4%)

localize91.0ms (1.2%)

series87.0ms (1.2%)

simplify103.0ms (1.4%)

rewrite128.0ms (1.7%)

eval122.0ms (1.7%)

prune36.0ms (0.5%)

simplify432.0ms (5.9%)

localize174.0ms (2.4%)

series96.0ms (1.3%)

simplify182.0ms (2.5%)

rewrite156.0ms (2.1%)

eval365.0ms (5%)

prune66.0ms (0.9%)

regimes95.0ms (1.3%)

simplify26.0ms (0.4%)

soundness134.0ms (1.8%)

preprocess16.0ms (0.2%)

end0.0ms (0%)

Profiling