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

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze153.0ms (1.9%)

Memory

-29.0MiB live, 247.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample2.2s (28.1%)

Memory

35.1MiB live, 1 560.7MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-log: 404.0ms (36% of total)

ival-hypot: 241.0ms (21.5% of total)

ival-mult: 211.0ms (18.8% of total)

ival-atan2: 100.0ms (8.9% of total)

ival-sub: 62.0ms (5.5% of total)

ival-div: 48.0ms (4.3% of total)

ival-add: 42.0ms (3.7% of total)

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

exact: 5.0ms (0.4% of total)

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

Bogosity

explain400.0ms (5.1%)

Memory

-4.7MiB live, 294.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
110	-	2	(-9.729303817882845e-157 3.171043532984259e-200 4.4266352537514145e-277)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
1	-	1	(5.744652670377178e+230 -2.687910770354873e-80 1.1947336785822155e-168)	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`im`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`re`
0	-	0	-	`(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`base`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	94	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	94
↳	`(*.f64 re re)`	overflow	55
↳	`(*.f64 im im)`	overflow	46

Confusion

	Predicted +	Predicted -
+	94	14
-	0	148

Precision

1.0

Recall

0.8703703703703703

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	94	0	14
-	0	0	148

Precision?

1.0

Recall?

0.8703703703703703

Freqs

test

number	freq
0	162
1	94

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

89.0ms

512×

valid

Compiler

Compiled 389 to 76 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 31.0ms (46.1% of total)

ival-log: 13.0ms (19.4% of total)

ival-hypot: 8.0ms (11.9% of total)

ival-add: 4.0ms (6% of total)

ival-atan2: 4.0ms (6% of total)

ival-div: 3.0ms (4.5% of total)

ival-sub: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess239.0ms (3%)

Memory

2.2MiB live, 198.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	139
1	205	121
2	438	78
3	851	63
4	1418	63
5	2481	63
6	3298	63
7	3965	63
8	6118	63
9	7940	63
0	18	26
0	34	14
1	53	12
2	76	8
3	95	6
4	113	6
5	184	6
6	398	6
7	1265	6
8	1939	6
9	2421	6
10	2993	6
11	3888	6
12	4673	6
13	5718	6
14	6877	6
15	7223	6
16	7430	6
17	7625	6
18	7832	6
0	8645	6

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.4%	(/.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

▶

57.4%

(/.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)

simplify178.0ms (2.3%)

Memory

23.3MiB live, 172.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (1.3%)

Memory

-29.9MiB live, 93.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.33431625976844204	(/.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	0.34982261270186576	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.5576362793053261	(*.f64 (log.f64 base) (log.f64 base))
accuracy	25.12319817824826	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

44.0ms

256×

valid

Compiler

Compiled 240 to 38 computations (84.2% saved)

Precisions

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

ival-hypot: 11.0ms (33.8% of total)

ival-mult: 7.0ms (21.5% of total)

ival-log: 7.0ms (21.5% of total)

ival-add: 2.0ms (6.2% of total)

ival-atan2: 2.0ms (6.2% of total)

ival-div: 1.0ms (3.1% of total)

ival-sub: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series133.0ms (1.7%)

Memory

11.6MiB live, 247.0MiB 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
43.0ms	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)))
20.0ms	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)))
18.0ms	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	re	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
10.0ms	im	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))

simplify358.0ms (4.6%)

Memory

24.6MiB live, 213.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 30

Calls

Call 1

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

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

rewrite293.0ms (3.7%)

Memory

9.1MiB live, 359.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 1 566

Calls

Call 1

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

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

eval261.0ms (3.3%)

Memory: -20.1MiB live, 473.5MiB allocated
Compiler: Compiled 35 684 to 2 667 computations (92.5% saved)

prune34.0ms (0.4%)

Memory

-9.8MiB live, 112.7MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	1 177	20	1 197
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 178	20	1 198

Accuracy

100.0%

Counts

1 198 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
▶	99.2%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
▶	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	81.4%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.3%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.4%	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
	99.4%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	83.0%	(.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))))
	82.4%	(.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)))
	99.2%	(.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))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (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 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
	98.7%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
▶	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
▶	53.8%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))

Compiler

Compiled 508 to 410 computations (19.3% saved)

simplify190.0ms (2.4%)

Memory

20.5MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	5376	(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
cost-diff	14272	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
cost-diff	0	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	320	(.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))
cost-diff	12800	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
cost-diff	0	(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: 8 (0.0ms)

Iter	Nodes	Cost
0	22	164
0	38	139
1	56	134
2	78	134
3	127	134
4	178	134
5	280	134
6	641	134
7	1857	134
8	1959	133
9	1977	133
10	1986	133
11	1986	133
12	2425	133
13	2512	133
14	2521	133
15	2532	133
16	2535	133
17	2535	133
18	4919	133
19	4944	133
20	5022	133
21	5212	133
22	5455	133
23	5776	133
24	6682	133
25	7165	133
26	7720	133
0	8063	133

Stop Event

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

Calls

Call 1

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

localize71.0ms (0.9%)

Memory

10.4MiB live, 126.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
accuracy	0.1875	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
accuracy	0.21310386270186576	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.276386279305326	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.03515625	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.18978500976844204	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0.9333368829488791	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
accuracy	2.9257909878600605	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0.0	(log.f64 base)
accuracy	0.181972509768442	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
accuracy	0.1953125	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
accuracy	0.276386279305326	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.140625	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.24418612493580968	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.15072250976844204	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

28.0ms	142×	0	valid
24.0ms	114×	0	invalid

Compiler

Compiled 330 to 46 computations (86.1% saved)

Precisions

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

ival-mult: 8.0ms (24.2% of total)

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

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

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

ival-exp: 2.0ms (6% of total)

ival-atan2: 2.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

series385.0ms (4.9%)

Memory

6.6MiB live, 442.8MiB allocated

Counts

16 → 29

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

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

Calls

9 calls:

Time	Variable		Point	Expression
97.0ms	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) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (* (/ 1 (atan2 im re)) (log base)) (log (* (/ 1 (atan2 im re)) (log base))) (/ (pow (log base) -2) (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (/ 1 (atan2 im re)) (* (log base) (atan2 im re)))
51.0ms	base	@	0	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (* (/ 1 (atan2 im re)) (log base)) (log (* (/ 1 (atan2 im re)) (log base))) (/ (pow (log base) -2) (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (/ 1 (atan2 im re)) (* (log base) (atan2 im re)))
45.0ms	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) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (* (/ 1 (atan2 im re)) (log base)) (log (* (/ 1 (atan2 im re)) (log base))) (/ (pow (log base) -2) (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (/ 1 (atan2 im re)) (* (log base) (atan2 im re)))
42.0ms	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) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (* (/ 1 (atan2 im re)) (log base)) (log (* (/ 1 (atan2 im re)) (log base))) (/ (pow (log base) -2) (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (/ 1 (atan2 im re)) (* (log base) (atan2 im re)))
41.0ms	re	@	0	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (* (/ 1 (atan2 im re)) (log base)) (log (* (/ 1 (atan2 im re)) (log base))) (/ (pow (log base) -2) (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (/ 1 (atan2 im re)) (* (log base) (atan2 im re)))

simplify226.0ms (2.9%)

Memory

-3.6MiB live, 74.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	221
1	80	212
2	136	212
3	305	212
4	730	212
5	1424	212
6	2206	212
7	3119	212
8	3528	212
9	3584	212
10	3590	212
11	3590	212
12	3640	212
13	3658	212
0	3658	212

Stop Event

1×	iter limit
1×	saturated

Counts

29 → 29

Calls

Call 1

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

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

rewrite309.0ms (3.9%)

Memory

5.2MiB live, 199.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	119
0	38	90
1	100	89
2	407	88
3	3421	88
0	8331	88

Stop Event

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

Counts

16 → 2 057

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

Outputs
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (log.f64 base)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 (log.f64 base)) (neg.f64 (log.f64 (atan2.f64 im re))))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))))
(.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64)) (atan2.f64 im re))
(.f64 (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(.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 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 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 -3 binary64)) #s(literal 1 binary64)) (/.f64 (log.f64 base) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (/.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 (/.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 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (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 #s(literal -1 binary64) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (neg.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (neg.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #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 -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (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 -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -4 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 -1 binary64)) (neg.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (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 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (/.f64 (log.f64 base) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (/.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 (pow.f64 (log.f64 base) #s(literal 4 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 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
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(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (neg.f64 (log.f64 (log.f64 base))) (fma.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64) (neg.f64 (log.f64 (atan2.f64 im re))))))
(exp.f64 (neg.f64 (.f64 (log.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (log.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (log.f64 base)) (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) #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 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))

eval237.0ms (3%)

Memory: 23.7MiB live, 522.4MiB allocated
Compiler: Compiled 33 644 to 5 056 computations (85% saved)

prune48.0ms (0.6%)

Memory

-32.8MiB live, 166.7MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 818	16	1 834
Fresh	13	2	15
Picked	2	3	5
Done	0	0	0
Total	1 833	21	1 854

Accuracy

100.0%

Counts

1 854 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	54.9%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
	99.2%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
	49.9%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.1%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
▶	98.8%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	53.8%	(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
	49.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
	55.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (atan2.f64 im re))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
	60.0%	(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))
	99.4%	(*.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 4 binary64)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (atan2.f64 im re))
✓	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	49.6%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))

Compiler

Compiled 439 to 379 computations (13.7% saved)

simplify128.0ms (1.6%)

Memory

-1.8MiB live, 166.4MiB 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	(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
cost-diff	0	(log.f64 base)
cost-diff	13824	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	12800	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff	7104	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	-5760	(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	6080	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	149
0	38	143
1	58	127
2	83	127
3	181	127
4	347	127
5	1598	127
6	1912	127
7	2031	127
8	2264	127
9	2655	127
10	3318	127
11	3764	127
12	4332	127
13	4970	127
14	5653	127
15	6095	127
0	8078	127

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (1%)

Memory

9.6MiB live, 168.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 base)
accuracy	0.140625	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.171875	(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
accuracy	0.5071723439294447	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
accuracy	0.0	(log.f64 base)
accuracy	0.21310386270186576	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.224941259768442	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.276386279305326	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.15072250976844204	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.25228500976844204	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
accuracy	2.6933162568110567	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy	0.0	(log.f64 base)
accuracy	0.03515625	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.18978500976844204	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0.24418612493580968	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.13671875	(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy	0.181972509768442	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))

Samples

28.0ms	142×	0	valid
21.0ms	114×	0	invalid

Compiler

Compiled 300 to 46 computations (84.7% saved)

Precisions

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

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

ival-mult: 7.0ms (23.9% of total)

ival-log: 3.0ms (10.3% of total)

ival-pow: 3.0ms (10.3% of total)

ival-atan2: 2.0ms (6.8% of total)

ival-sqrt: 2.0ms (6.8% of total)

ival-pow2: 2.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

series87.0ms (1.1%)

Memory

16.5MiB live, 168.7MiB allocated

Counts

16 → 26

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	base	@	inf	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (log base) (* (/ (log base) (atan2 im re)) (log base))) (* (/ (log base) (atan2 im re)) (log base)) (/ (log base) (atan2 im re)))
12.0ms	re	@	inf	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (log base) (* (/ (log base) (atan2 im re)) (log base))) (* (/ (log base) (atan2 im re)) (log base)) (/ (log base) (atan2 im re)))
11.0ms	im	@	-inf	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (log base) (* (/ (log base) (atan2 im re)) (log base))) (* (/ (log base) (atan2 im re)) (log base)) (/ (log base) (atan2 im re)))
11.0ms	im	@	0	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (log base) (* (/ (log base) (atan2 im re)) (log base))) (* (/ (log base) (atan2 im re)) (log base)) (/ (log base) (atan2 im re)))
9.0ms	base	@	-inf	((* (/ 1 (log base)) (atan2 im re)) (log base) (atan2 im re) (/ 1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (log base) (* (/ (log base) (atan2 im re)) (log base))) (* (/ (log base) (atan2 im re)) (log base)) (/ (log base) (atan2 im re)))

simplify395.0ms (5%)

Memory

-19.6MiB live, 94.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	195
1	71	187
2	124	187
3	289	187
4	746	187
5	1601	187
6	2822	187
7	4981	187
8	5742	187
9	6029	187
10	6122	187
11	6124	187
12	6124	187
13	6202	187
14	6218	187
15	6220	187
16	6220	187
17	6220	187
18	6650	187
19	6882	187
20	6898	187
21	6898	187
22	6898	187
23	6898	187
0	6898	187

Stop Event

1×	iter limit
1×	saturated

Counts

26 → 26

Calls

Call 1

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

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

rewrite145.0ms (1.8%)

Memory

24.8MiB live, 193.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	110
0	38	88
1	110	87
2	440	87
0	3725	87

Stop Event

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

Counts

16 → 1 268

Calls

Call 1

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

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

eval112.0ms (1.4%)

Memory: 1.1MiB live, 271.6MiB allocated
Compiler: Compiled 16 223 to 2 548 computations (84.3% saved)

prune40.0ms (0.5%)

Memory

-0.2MiB live, 108.8MiB allocated

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	1 032	5	1 037
Fresh	4	9	13
Picked	0	5	5
Done	0	3	3
Total	1 036	22	1 058

Accuracy

100.0%

Counts

1 058 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.7%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
✓	60.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	54.9%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
▶	99.2%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	50.0%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
▶	99.1%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	98.8%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	49.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	55.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
	60.0%	(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))
▶	99.4%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re))
▶	50.0%	(*.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 4 binary64)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (atan2.f64 im re))
✓	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	49.6%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))

Compiler

Compiled 421 to 360 computations (14.5% saved)

simplify87.0ms (1.1%)

Memory

33.8MiB live, 142.8MiB 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	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	14272	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
cost-diff	0	(sqrt.f64 (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (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	(log.f64 base)
cost-diff	0	(sqrt.f64 (log.f64 base))
cost-diff	6080	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (atan2.f64 im re))
cost-diff	7104	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 base))
cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	0	(log.f64 base)
cost-diff	6080	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re))
cost-diff	7104	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	165
0	43	161
1	62	161
2	102	130
3	260	130
4	1117	130
5	2697	130
6	6337	130
0	8488	130

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

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

localize95.0ms (1.2%)

Memory

-17.3MiB live, 242.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.16015625	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.1640625	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
accuracy	0.2620888183790941	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.04296875	(sqrt.f64 (log.f64 base))
accuracy	0.14453125	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
accuracy	0.158535009768442	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
accuracy	0.04296875	(sqrt.f64 (log.f64 base))
accuracy	0.13671875	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
accuracy	0.1484375	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (atan2.f64 im re))
accuracy	0.23503876953688405	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.0234375	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
accuracy	0.13671875	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0.20378876953688402	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
accuracy	0.0	(log.f64 base)
accuracy	0.1484375	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re))
accuracy	0.1875	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.27181625976844204	(pow.f64 (log.f64 base) #s(literal 2 binary64))

Samples

38.0ms	127×	0	invalid
37.0ms	129×	0	valid

Compiler

Compiled 332 to 52 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 21.0ms (38% of total)

ival-pow2: 17.0ms (30.8% of total)

ival-mult: 6.0ms (10.9% of total)

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

ival-pow: 3.0ms (5.4% of total)

ival-atan2: 2.0ms (3.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series108.0ms (1.4%)

Memory

-23.8MiB live, 129.5MiB allocated

Counts

18 → 32

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

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

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	im	@	0	((/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (atan2 im re)) (log base) (pow (log base) 2) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (/ -1 (atan2 im re)) (pow (sqrt (log base)) 2) (* (/ 1 (pow (sqrt (log base)) 2)) (atan2 im re)) (sqrt (log base)) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (atan2 im re) (/ (pow (log base) -2) (/ 1 (* (log base) (atan2 im re)))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ 1 (pow (sqrt (log base)) 2)) (/ 1 (* (log base) (atan2 im re))))
15.0ms	base	@	-inf	((/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (atan2 im re)) (log base) (pow (log base) 2) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (/ -1 (atan2 im re)) (pow (sqrt (log base)) 2) (* (/ 1 (pow (sqrt (log base)) 2)) (atan2 im re)) (sqrt (log base)) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (atan2 im re) (/ (pow (log base) -2) (/ 1 (* (log base) (atan2 im re)))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ 1 (pow (sqrt (log base)) 2)) (/ 1 (* (log base) (atan2 im re))))
11.0ms	base	@	0	((/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (atan2 im re)) (log base) (pow (log base) 2) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (/ -1 (atan2 im re)) (pow (sqrt (log base)) 2) (* (/ 1 (pow (sqrt (log base)) 2)) (atan2 im re)) (sqrt (log base)) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (atan2 im re) (/ (pow (log base) -2) (/ 1 (* (log base) (atan2 im re)))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ 1 (pow (sqrt (log base)) 2)) (/ 1 (* (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 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (/ -1 (atan2 im re)) (pow (sqrt (log base)) 2) (* (/ 1 (pow (sqrt (log base)) 2)) (atan2 im re)) (sqrt (log base)) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (atan2 im re) (/ (pow (log base) -2) (/ 1 (* (log base) (atan2 im re)))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ 1 (pow (sqrt (log base)) 2)) (/ 1 (* (log base) (atan2 im re))))
9.0ms	re	@	0	((/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (atan2 im re)) (log base) (pow (log base) 2) (/ (/ -1 (log base)) (/ -1 (atan2 im re))) (/ -1 (log base)) (/ -1 (atan2 im re)) (pow (sqrt (log base)) 2) (* (/ 1 (pow (sqrt (log base)) 2)) (atan2 im re)) (sqrt (log base)) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (atan2 im re) (/ (pow (log base) -2) (/ 1 (* (log base) (atan2 im re)))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ 1 (pow (sqrt (log base)) 2)) (/ 1 (* (log base) (atan2 im re))))

simplify184.0ms (2.3%)

Memory

31.0MiB live, 68.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	232
1	83	222
2	138	221
3	283	221
4	640	221
5	1367	221
6	2335	221
7	3419	221
8	3843	221
9	3922	221
10	3977	221
11	4015	221
12	4026	221
13	4181	221
14	4254	221
15	4255	221
16	4255	221
17	4255	221
18	4263	221
0	4263	221

Stop Event

1×	iter limit
1×	saturated

Counts

32 → 32

Calls

Call 1

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

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

rewrite109.0ms (1.4%)

Memory

-28.4MiB live, 130.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	121
0	43	117
1	138	117
2	616	86
0	3901	86

Stop Event

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

Counts

18 → 1 285

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

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

eval184.0ms (2.3%)

Memory: -10.3MiB live, 273.5MiB allocated
Compiler: Compiled 27 150 to 3 490 computations (87.1% saved)

prune68.0ms (0.9%)

Memory

21.2MiB live, 97.7MiB allocated

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	1 483	4	1 487
Fresh	3	6	9
Picked	1	4	5
Done	1	7	8
Total	1 488	21	1 509

Accuracy

100.0%

Counts

1 509 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.7%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
✓	60.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	54.9%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
✓	99.2%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	50.0%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	50.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))) (sqrt.f64 (log.f64 base)))
✓	99.1%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	98.8%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
	48.6%	(/.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	50.0%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
	49.9%	(.f64 (atan2.f64 im re) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))))
✓	99.4%	(*.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 4 binary64)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (atan2.f64 im re))
✓	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	49.6%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))

Compiler

Compiled 800 to 343 computations (57.1% saved)

regimes67.0ms (0.8%)

Memory

5.8MiB live, 127.6MiB allocated

Accuracy

Total -63.7b remaining (-22787.5%)

Threshold costs -63.7b (-22787.5%)

Counts

46 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (atan2.f64 im re))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))) (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 -2 binary64)) #s(literal 1/2 binary64)) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.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 4 binary64)) (pow.f64 (log.f64 base) #s(literal -5 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 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(.f64 (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 (.f64 (log.f64 base) (atan2.f64 im re)) (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 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))

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

Calls

5 calls:

17.0ms	(log.f64 base)
14.0ms	base
12.0ms	im
11.0ms	re
11.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
99.6%	1	`re`
99.6%	1	`im`
99.6%	1	`base`
99.6%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.6%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify8.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB 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))

soundness133.0ms (1.7%)

Memory

-32.2MiB live, 48.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

preprocess15.0ms (0.2%)

Memory: 31.0MiB live, 31.0MiB allocated
Compiler: Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze153.0ms (1.9%)

sample2.2s (28.1%)

explain400.0ms (5.1%)

preprocess239.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify178.0ms (2.3%)

localize102.0ms (1.3%)

series133.0ms (1.7%)

simplify358.0ms (4.6%)

rewrite293.0ms (3.7%)

eval261.0ms (3.3%)

prune34.0ms (0.4%)

simplify190.0ms (2.4%)

localize71.0ms (0.9%)

series385.0ms (4.9%)

simplify226.0ms (2.9%)

rewrite309.0ms (3.9%)

eval237.0ms (3%)

prune48.0ms (0.6%)

simplify128.0ms (1.6%)

localize78.0ms (1%)

series87.0ms (1.1%)

simplify395.0ms (5%)

rewrite145.0ms (1.8%)

eval112.0ms (1.4%)

prune40.0ms (0.5%)

simplify87.0ms (1.1%)

localize95.0ms (1.2%)

series108.0ms (1.4%)

simplify184.0ms (2.3%)

rewrite109.0ms (1.4%)

eval184.0ms (2.3%)

prune68.0ms (0.9%)

regimes67.0ms (0.8%)

simplify8.0ms (0.1%)

soundness133.0ms (1.7%)

preprocess15.0ms (0.2%)

end0.0ms (0%)

Profiling