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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze230.0ms (3.7%)

Memory

18.8MiB live, 295.0MiB allocated; 58ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.8s (29.5%)

Memory

-6.3MiB live, 2 766.8MiB allocated; 491ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-log: 232.0ms (22.5% of total)

ival-mult: 202.0ms (19.6% of total)

ival-atan2: 178.0ms (17.3% of total)

ival-div: 156.0ms (15.2% of total)

ival-hypot: 144.0ms (14% of total)

ival-add: 59.0ms (5.7% of total)

ival-sub: 41.0ms (4% of total)

ival-true: 6.0ms (0.6% of total)

exact: 6.0ms (0.6% of total)

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

adjust: 3.0ms (0.3% of total)

Bogosity

explain387.0ms (6.2%)

Memory

42.9MiB live, 423.4MiB allocated; 49ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
134	-	-	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	-	`(log.f64 base)`
0	-	-	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	-	`(*.f64 re re)`
0	-	-	`(atan2.f64 im re)`
0	-	-	`im`
0	-	-	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	-	`re`
0	-	-	`(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))`
0	-	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	-	`#s(literal 0 binary64)`
0	-	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	-	`(*.f64 im im)`
0	-	-	`base`
0	-	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	124	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	124
↳	`(*.f64 re re)`	overflow	69
↳	`(*.f64 im im)`	overflow	68

Confusion

	Predicted +	Predicted -
+	124	10
-	0	122

Precision

1.0

Recall

0.9253731343283582

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	0	10
-	0	0	122

Precision?

1.0

Recall?

0.9253731343283582

Freqs

test

number	freq
0	132
1	124

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

156.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 41.0ms (38.2% of total)

ival-add: 22.0ms (20.5% of total)

ival-hypot: 22.0ms (20.5% of total)

ival-log: 11.0ms (10.3% of total)

ival-atan2: 4.0ms (3.7% of total)

ival-div: 3.0ms (2.8% of total)

ival-sub: 2.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess274.0ms (4.4%)

Memory

-28.6MiB live, 162.2MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	139
1	219	121
2	928	78
3	5995	78
0	18	26
0	34	14
1	63	12
2	180	8
3	921	6
4	2477	6
5	5141	6
0	8291	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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.3%	(/.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

▶

47.3%

(/.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)

simplify133.0ms (2.1%)

Memory

37.5MiB live, 82.4MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	2	(-.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	4	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
cost-diff	5	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
cost-diff	5	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	77
1	63	75
2	180	71
3	921	69
4	2477	69
5	5141	67
0	8291	56

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)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

localize108.0ms (1.7%)

Memory

2.2MiB live, 144.9MiB allocated; 32ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.34212875976844204	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.35546875	(/.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	0.4958000488422101	(*.f64 (log.f64 base) (log.f64 base))
accuracy	31.17034661458715	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

90.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

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

ival-mult: 7.0ms (25.3% of total)

ival-hypot: 7.0ms (25.3% of total)

ival-log: 5.0ms (18.1% of total)

ival-add: 2.0ms (7.2% of total)

ival-atan2: 2.0ms (7.2% of total)

ival-div: 1.0ms (3.6% of total)

ival-sub: 1.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series180.0ms (2.9%)

Memory

-13.1MiB live, 176.4MiB allocated; 35ms collecting garbage

Counts

6 → 35

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))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(-.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) (log.f64 base))
(*.f64 (atan2.f64 im re) (log.f64 base))

Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ 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)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 re))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* 1/2 (/ (pow im 2) re)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ 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)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))

Calls

9 calls:

Time	Variable		Point	Expression
55.0ms	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) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (log base)) (* (atan2 im re) (log base)))
50.0ms	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) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (log base)) (* (atan2 im re) (log base)))
18.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (log base)) (* (atan2 im re) (log base)))
15.0ms	im	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (log base)) (* (atan2 im re) (log base)))
13.0ms	base	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (log base)) (* (atan2 im re) (log base)))

simplify128.0ms (2.1%)

Memory

-9.5MiB live, 174.3MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	804
1	420	782
2	1813	761
0	8390	617

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ 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)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 re))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* 1/2 (/ (pow im 2) re)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ 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)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))

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

rewrite61.0ms (1%)

Memory

32.9MiB live, 78.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
0	34	38
1	120	36
0	965	31

Stop Event

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

Counts

6 → 217

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))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(-.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) (log.f64 base))
(*.f64 (atan2.f64 im re) (log.f64 base))

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

eval85.0ms (1.4%)

Memory: -21.0MiB live, 79.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 6 417 to 1 060 computations (83.5% saved)

prune13.0ms (0.2%)

Memory

-11.9MiB live, 34.2MiB allocated; 3ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	219	12	231
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	220	12	232

Accuracy

100.0%

Counts

232 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.8%	(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 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))))
▶	86.6%	(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	82.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)))))
	47.3%	(/.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 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	47.3%	(/.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 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.2%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.4%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶	98.9%	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.1%	(.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)))
▶	99.2%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 556 to 344 computations (38.1% saved)

simplify105.0ms (1.7%)

Memory

38.5MiB live, 129.1MiB allocated; 7ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
cost-diff	3	(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	11	(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
cost-diff	3	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	5	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	5	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	218
0	52	181
1	96	179
2	309	170
3	2208	168
4	7312	168
0	8104	168

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 base)
base
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (atan2.f64 im re))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
#s(literal 2 binary64)
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 2 binary64))

localize114.0ms (1.8%)

Memory

-21.9MiB live, 177.3MiB allocated; 28ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3557465903318293	(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.4453125	(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
accuracy	0.4958000488422101	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	8.09700367142624	(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.34212875976844204	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.4331532554226992	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.8877643556434058	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	1.1900786609232068	(pow.f64 (log.f64 base) #s(literal 6 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.34212875976844204	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.35546875	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.4958000488422101	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.27734375	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.36435986095810247	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.4958000488422101	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.0	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy	0.31640625	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

83.0ms

256×

valid

Compiler

Compiled 215 to 33 computations (84.7% saved)

Precisions

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

ival-div: 10.0ms (22.1% of total)

ival-mult: 10.0ms (22.1% of total)

ival-pow: 6.0ms (13.2% of total)

ival-log: 5.0ms (11% of total)

ival-hypot: 4.0ms (8.8% of total)

ival-pow2: 4.0ms (8.8% of total)

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

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

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

exact: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

series101.0ms (1.6%)

Memory

-1.3MiB live, 239.7MiB allocated; 24ms collecting garbage

Counts

16 → 46

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx (* (log base) (/ (atan2 im re) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 2))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 6)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 5))))
#s(approx (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log base) 2) (pow (atan2 im re) 2))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log base) 6)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (* (log base) (/ (atan2 im re) (pow (log base) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (atan2 im re) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (pow (log (/ 1 base)) 2))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 6)) #s(hole binary64 (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 5)))))
#s(approx (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (* (log base) (/ (atan2 im re) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 6)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5))))
#s(approx (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (pow (atan2 im re) 2))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	base	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) (log base) (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 4)) (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (* (log base) (atan2 im re)) 2) (pow (log base) 2) (pow (log base) 6) (pow (log base) 4))
13.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) (log base) (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 4)) (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (* (log base) (atan2 im re)) 2) (pow (log base) 2) (pow (log base) 6) (pow (log base) 4))
12.0ms	re	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) (log base) (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 4)) (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (* (log base) (atan2 im re)) 2) (pow (log base) 2) (pow (log base) 6) (pow (log base) 4))
11.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) (log base) (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 4)) (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (* (log base) (atan2 im re)) 2) (pow (log base) 2) (pow (log base) 6) (pow (log base) 4))
11.0ms	base	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) (log base) (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 4)) (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (* (log base) (atan2 im re)) 2) (pow (log base) 2) (pow (log base) 6) (pow (log base) 4))

simplify111.0ms (1.8%)

Memory

-4.5MiB live, 89.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	833
1	212	775
2	597	691
3	4333	691
0	8037	691

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 46

Calls

Call 1

Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx (* (log base) (/ (atan2 im re) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 2))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 6)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 5))))
#s(approx (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log base) 2) (pow (atan2 im re) 2))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log base) 6)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (* (log base) (/ (atan2 im re) (pow (log base) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (atan2 im re) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (pow (log (/ 1 base)) 2))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 6)) #s(hole binary64 (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 5)))))
#s(approx (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (* (log base) (/ (atan2 im re) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 6)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5))))
#s(approx (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (pow (atan2 im re) 2))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))

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

rewrite60.0ms (1%)

Memory

-11.3MiB live, 33.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	158
0	52	145
0	187	145

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

16 → 56

Calls

Call 1

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

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

eval15.0ms (0.2%)

Memory: 26.1MiB live, 26.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 398 to 368 computations (89.2% saved)

prune40.0ms (0.6%)

Memory

-15.5MiB live, 33.9MiB allocated; 6ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	157	10	167
Fresh	5	2	7
Picked	2	3	5
Done	0	0	0
Total	164	15	179

Accuracy

100.0%

Counts

179 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.5%	(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(approx ( (* (log base) (atan2 im re)) (pow (log base) 2)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))))
	86.5%	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.2%	(/.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 6 binary64)))
✓	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.2%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
	98.7%	(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
▶	11.2%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 (pow.f64 base (log.f64 base))))
▶	49.2%	(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	48.6%	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
▶	99.1%	(.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)))
	98.9%	(.f64 (.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓	99.2%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.1%	(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 6)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 511 to 364 computations (28.8% saved)

simplify184.0ms (3%)

Memory

-12.3MiB live, 223.4MiB allocated; 31ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(approx ( (* (log base) (atan2 im re)) (pow (log base) 2)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))))
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	3	(.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)))
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	2	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
cost-diff	5	(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 (pow.f64 base (log.f64 base))))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	2	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
cost-diff	3	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	244
0	52	240
1	82	231
2	190	222
3	667	218
4	3993	218
0	8089	218

Stop Event

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

Calls

Call 1

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

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

localize120.0ms (1.9%)

Memory

15.0MiB live, 207.5MiB allocated; 12ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.22684034033182934	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
accuracy	0.234375	(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
accuracy	0.3855439453688405	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	4.716082659000888	(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(approx ( (* (log base) (atan2 im re)) (pow (log base) 2)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))))
accuracy	0.13671875	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.1640625	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.2770500488422101	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.4396440430532607	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0.03125	(log.f64 (log.f64 base))
accuracy	0.1640625	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.18359375	(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
accuracy	0.8557371512234974	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
accuracy	0.09870327872082685	(pow.f64 base (log.f64 base))
accuracy	0.1640625	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.18359375	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 (pow.f64 base (log.f64 base))))
accuracy	30.019938951132712	(log.f64 (pow.f64 base (log.f64 base)))
accuracy	0.0	(log.f64 base)
accuracy	0.12109375	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.17253876953688402	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.2770500488422101	(pow.f64 (log.f64 base) #s(literal 2 binary64))

Samples

62.0ms	127×	0	invalid
34.0ms	129×	0	valid

Compiler

Compiled 228 to 29 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 31.0ms (43% of total)

ival-pow: 15.0ms (20.8% of total)

ival-mult: 9.0ms (12.5% of total)

ival-log: 7.0ms (9.7% of total)

ival-pow2: 5.0ms (6.9% of total)

ival-atan2: 3.0ms (4.2% of total)

ival-exp: 2.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series318.0ms (5.1%)

Memory

-1.7MiB live, 566.7MiB allocated; 167ms collecting garbage

Counts

19 → 55

Calls

Call 1

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

Outputs
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx (/ (* (log base) (atan2 im re)) (log (pow base (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (* (log base) (atan2 im re)) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 3))))
#s(approx (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log base) 2) (pow (atan2 im re) 2))))
#s(approx (* (pow (log base) 3) (atan2 im re)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ 1 (log base))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (log (pow base (log base))) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow base (log base)) #s(hole binary64 (exp (pow (log base) 2))))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (pow (log base) 3) #s(hole binary64 (pow (log base) 3)))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (* (log base) (atan2 im re)) (log (pow base (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (* (log base) (atan2 im re)) (exp (* (log (log base)) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))))
#s(approx (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (log (pow base (log base))) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow base (log base)) #s(hole binary64 (exp (pow (log (/ 1 base)) 2))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (log base) 3) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 3))))
#s(approx (* (pow (log base) 3) (atan2 im re)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (* (log base) (atan2 im re)) (log (pow base (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ (* (log base) (atan2 im re)) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (pow (atan2 im re) 2))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (log (pow base (log base))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow base (log base)) #s(hole binary64 (exp (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
#s(approx (* (pow (log base) 3) (atan2 im re)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))

Calls

9 calls:

Time	Variable		Point	Expression
95.0ms	base	@	-inf	((/ (log base) (pow (log base) 2)) (* (atan2 im re) (/ (log base) (pow (log base) 2))) (atan2 im re) (log base) (/ (* (log base) (atan2 im re)) (log (pow base (log base)))) (* (log base) (atan2 im re)) (/ (* (log base) (atan2 im re)) (exp (* (log (log base)) 2))) (exp (* (log (log base)) 2)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) (pow (* (log base) (atan2 im re)) 2) (pow (log base) 2) (log (pow base (log base))) (pow base (log base)) (log (log base)) (pow (log base) 4) (pow (log base) 3) (* (pow (log base) 3) (atan2 im re)))
49.0ms	base	@	0	((/ (log base) (pow (log base) 2)) (* (atan2 im re) (/ (log base) (pow (log base) 2))) (atan2 im re) (log base) (/ (* (log base) (atan2 im re)) (log (pow base (log base)))) (* (log base) (atan2 im re)) (/ (* (log base) (atan2 im re)) (exp (* (log (log base)) 2))) (exp (* (log (log base)) 2)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) (pow (* (log base) (atan2 im re)) 2) (pow (log base) 2) (log (pow base (log base))) (pow base (log base)) (log (log base)) (pow (log base) 4) (pow (log base) 3) (* (pow (log base) 3) (atan2 im re)))
44.0ms	base	@	inf	((/ (log base) (pow (log base) 2)) (* (atan2 im re) (/ (log base) (pow (log base) 2))) (atan2 im re) (log base) (/ (* (log base) (atan2 im re)) (log (pow base (log base)))) (* (log base) (atan2 im re)) (/ (* (log base) (atan2 im re)) (exp (* (log (log base)) 2))) (exp (* (log (log base)) 2)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) (pow (* (log base) (atan2 im re)) 2) (pow (log base) 2) (log (pow base (log base))) (pow base (log base)) (log (log base)) (pow (log base) 4) (pow (log base) 3) (* (pow (log base) 3) (atan2 im re)))
43.0ms	re	@	0	((/ (log base) (pow (log base) 2)) (* (atan2 im re) (/ (log base) (pow (log base) 2))) (atan2 im re) (log base) (/ (* (log base) (atan2 im re)) (log (pow base (log base)))) (* (log base) (atan2 im re)) (/ (* (log base) (atan2 im re)) (exp (* (log (log base)) 2))) (exp (* (log (log base)) 2)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) (pow (* (log base) (atan2 im re)) 2) (pow (log base) 2) (log (pow base (log base))) (pow base (log base)) (log (log base)) (pow (log base) 4) (pow (log base) 3) (* (pow (log base) 3) (atan2 im re)))
19.0ms	re	@	-inf	((/ (log base) (pow (log base) 2)) (* (atan2 im re) (/ (log base) (pow (log base) 2))) (atan2 im re) (log base) (/ (* (log base) (atan2 im re)) (log (pow base (log base)))) (* (log base) (atan2 im re)) (/ (* (log base) (atan2 im re)) (exp (* (log (log base)) 2))) (exp (* (log (log base)) 2)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) (pow (* (log base) (atan2 im re)) 2) (pow (log base) 2) (log (pow base (log base))) (pow base (log base)) (log (log base)) (pow (log base) 4) (pow (log base) 3) (* (pow (log base) 3) (atan2 im re)))

simplify145.0ms (2.3%)

Memory

5.4MiB live, 144.2MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	845
1	204	812
2	513	743
3	3250	743
0	8246	743

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 55

Calls

Call 1

Inputs
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx (/ (* (log base) (atan2 im re)) (log (pow base (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (* (log base) (atan2 im re)) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 3))))
#s(approx (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log base) 2) (pow (atan2 im re) 2))))
#s(approx (* (pow (log base) 3) (atan2 im re)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ 1 (log base))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (log (pow base (log base))) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow base (log base)) #s(hole binary64 (exp (pow (log base) 2))))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (pow (log base) 3) #s(hole binary64 (pow (log base) 3)))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (* (log base) (atan2 im re)) (log (pow base (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (* (log base) (atan2 im re)) (exp (* (log (log base)) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))))
#s(approx (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (log (pow base (log base))) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow base (log base)) #s(hole binary64 (exp (pow (log (/ 1 base)) 2))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (log base) 3) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 3))))
#s(approx (* (pow (log base) 3) (atan2 im re)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (* (log base) (atan2 im re)) (log (pow base (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ (* (log base) (atan2 im re)) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (/ (pow (* (log base) (atan2 im re)) 2) (* (* (log base) (atan2 im re)) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (pow (atan2 im re) 2))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (log (pow base (log base))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow base (log base)) #s(hole binary64 (exp (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
#s(approx (* (pow (log base) 3) (atan2 im re)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))

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

rewrite60.0ms (1%)

Memory

34.0MiB live, 79.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	156
0	52	150
1	115	144
0	470	144

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

19 → 213

Calls

Call 1

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

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

eval35.0ms (0.6%)

Memory: 9.9MiB live, 90.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 7 113 to 821 computations (88.5% saved)

prune41.0ms (0.7%)

Memory

-7.7MiB live, 41.2MiB allocated; 25ms collecting garbage

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	300	9	309
Fresh	5	2	7
Picked	3	2	5
Done	0	3	3
Total	308	16	324

Accuracy

100.0%

Counts

324 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	99.2%	(/.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 6 binary64)))
✓	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	49.1%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base))))
✓	11.2%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 (pow.f64 base (log.f64 base))))
▶	99.1%	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	49.9%	(.f64 (atan2.f64 im re) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶	99.4%	(*.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	99.1%	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	48.3%	(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.1%	(.f64 (.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	99.2%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.1%	(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 6)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	99.2%	(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 466 to 348 computations (25.3% saved)

simplify306.0ms (4.9%)

Memory

5.3MiB live, 382.8MiB allocated; 178ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(/.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 6 binary64)))
cost-diff	3	(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base))))
cost-diff	0	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
cost-diff	0	#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
cost-diff	0	(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff	0	#s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(*.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	241
0	57	241
1	80	241
2	145	229
3	310	229
4	878	229
5	5554	229
0	8334	229

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(atan2.f64 im re)
im
re
#s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
base
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
base
#s(literal 3 binary64)
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 (log.f64 base))
(/.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 6 binary64)))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)

Outputs
(*.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 #s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))
(atan2.f64 im re)
im
re
#s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
base
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
base
#s(literal 3 binary64)
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 (log.f64 base))
(/.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 6 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re)) (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 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)

localize160.0ms (2.6%)

Memory

7.0MiB live, 201.9MiB allocated; 23ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16634750976844204	(/.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 6 binary64)))
accuracy	0.3041997247241406	(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.4396440430532607	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0.581105578146276	(pow.f64 (log.f64 base) #s(literal 6 binary64))
accuracy	0.03125	(log.f64 (log.f64 base))
accuracy	0.1640625	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.18359375	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base))))
accuracy	0.8592260803577925	(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
accuracy	0.140625	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.1640625	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
accuracy	0.3855439453688405	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.4396440430532607	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0.1328125	(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.14453125	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
accuracy	0.2770500488422101	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.3855439453688405	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.0	#s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
accuracy	0.12109375	(*.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (log.f64 base))

Samples

99.0ms	127×	0	invalid
35.0ms	129×	0	valid

Compiler

Compiled 215 to 31 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-div: 74.0ms (65.5% of total)

ival-pow: 18.0ms (15.9% of total)

ival-mult: 7.0ms (6.2% of total)

ival-log: 5.0ms (4.4% of total)

ival-exp: 3.0ms (2.7% of total)

ival-pow2: 3.0ms (2.7% of total)

ival-atan2: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series381.0ms (6.2%)

Memory

-5.7MiB live, 643.4MiB allocated; 165ms collecting garbage

Counts

20 → 58

Calls

Call 1

Inputs
(*.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(atan2.f64 im re)
#s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.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 6 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 6 binary64))

Outputs
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 3))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 3))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 4))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* (pow (log base) 5) (atan2 im re))))
#s(approx (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ 1 (log base))))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (log base))))
#s(approx (pow (log base) 3) #s(hole binary64 (pow (log base) 3)))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (pow (exp 2) (log (log base))) #s(hole binary64 (pow (log base) 2)))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log base) 6)))
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) #s(hole binary64 (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (pow (log base) 3) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 3))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (atan2 im re) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log (/ 1 base)) 4))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 5) (atan2 im re)))))
#s(approx (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (exp 2) (log (log base))) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (atan2 im re) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5) (atan2 im re))))
#s(approx (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (exp 2) (log (log base))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))

Calls

9 calls:

Time	Variable		Point	Expression
109.0ms	re	@	0	((* (atan2 im re) (/ (log base) (pow (log base) 2))) (atan2 im re) (/ (log base) (pow (log base) 2)) (/ 1 (log base)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (atan2 im re) (pow (log base) 3)) (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (pow (log base) 3) (log base) (/ (atan2 im re) (pow (log base) 4)) (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) (* (log base) (atan2 im re)) (* (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (pow (log base) 2) (pow (log base) 4) (pow (exp 2) (log (log base))) (log (log base)) (pow (log base) 6))
52.0ms	base	@	0	((* (atan2 im re) (/ (log base) (pow (log base) 2))) (atan2 im re) (/ (log base) (pow (log base) 2)) (/ 1 (log base)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (atan2 im re) (pow (log base) 3)) (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (pow (log base) 3) (log base) (/ (atan2 im re) (pow (log base) 4)) (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) (* (log base) (atan2 im re)) (* (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (pow (log base) 2) (pow (log base) 4) (pow (exp 2) (log (log base))) (log (log base)) (pow (log base) 6))
41.0ms	im	@	0	((* (atan2 im re) (/ (log base) (pow (log base) 2))) (atan2 im re) (/ (log base) (pow (log base) 2)) (/ 1 (log base)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (atan2 im re) (pow (log base) 3)) (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (pow (log base) 3) (log base) (/ (atan2 im re) (pow (log base) 4)) (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) (* (log base) (atan2 im re)) (* (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (pow (log base) 2) (pow (log base) 4) (pow (exp 2) (log (log base))) (log (log base)) (pow (log base) 6))
36.0ms	re	@	inf	((* (atan2 im re) (/ (log base) (pow (log base) 2))) (atan2 im re) (/ (log base) (pow (log base) 2)) (/ 1 (log base)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (atan2 im re) (pow (log base) 3)) (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (pow (log base) 3) (log base) (/ (atan2 im re) (pow (log base) 4)) (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) (* (log base) (atan2 im re)) (* (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (pow (log base) 2) (pow (log base) 4) (pow (exp 2) (log (log base))) (log (log base)) (pow (log base) 6))
31.0ms	base	@	inf	((* (atan2 im re) (/ (log base) (pow (log base) 2))) (atan2 im re) (/ (log base) (pow (log base) 2)) (/ 1 (log base)) (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (atan2 im re) (pow (log base) 3)) (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (pow (log base) 3) (log base) (/ (atan2 im re) (pow (log base) 4)) (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) (* (log base) (atan2 im re)) (* (* (log base) (atan2 im re)) (pow (log base) 4)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (pow (log base) 2) (pow (log base) 4) (pow (exp 2) (log (log base))) (log (log base)) (pow (log base) 6))

simplify160.0ms (2.6%)

Memory

15.1MiB live, 196.0MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	129	932
1	192	913
2	373	832
3	1257	832
4	5117	814
0	8384	814

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 58

Calls

Call 1

Inputs
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 3))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 3))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 4))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* (pow (log base) 5) (atan2 im re))))
#s(approx (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ 1 (log base))))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (log base))))
#s(approx (pow (log base) 3) #s(hole binary64 (pow (log base) 3)))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (pow (exp 2) (log (log base))) #s(hole binary64 (pow (log base) 2)))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log base) 6)))
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) #s(hole binary64 (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (pow (log base) 3) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 3))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (atan2 im re) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log (/ 1 base)) 4))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 5) (atan2 im re)))))
#s(approx (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (exp 2) (log (log base))) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (atan2 im re) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5) (atan2 im re))))
#s(approx (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (exp 2) (log (log base))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))

Outputs
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 3))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 3))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (atan2 im re) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 4))))
#s(approx (/ (atan2 im re) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) (*.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* (pow (log base) 5) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re)))
#s(approx (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ 1 (log base))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (log base))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (pow (log base) 3) #s(hole binary64 (pow (log base) 3)))
#s(approx (pow (log base) 3) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx (log base) (log.f64 base))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (pow (exp 2) (log (log base))) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (exp 2) (log (log base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (log (log base)) (log.f64 (log.f64 base)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log base) 6)))
#s(approx (pow (log base) 6) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) #s(hole binary64 (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (pow (log base) 3) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 3))))
#s(approx (pow (log base) 3) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (log base) (log.f64 base))
#s(approx (/ (atan2 im re) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log (/ 1 base)) 4))))
#s(approx (/ (atan2 im re) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) (*.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 5) (atan2 im re)))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re)))
#s(approx (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (pow (exp 2) (log (log base))) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (exp 2) (log (log base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (log (log base)) (log.f64 (log.f64 base)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (pow (log base) 6) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64)))
#s(approx (* (atan2 im re) (/ (log base) (pow (log base) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
#s(approx (/ (log base) (pow (log base) 2)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64)))))
#s(approx (* (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) (/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (/ (atan2 im re) (pow (log base) 3)) (/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (pow (log base) 3) (/ (atan2 im re) (pow (log base) 4))) (/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
#s(approx (pow (log base) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
#s(approx (pow (log base) 3) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64)))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (log base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
#s(approx (/ (atan2 im re) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))))
#s(approx (/ (atan2 im re) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (exp 2) (log (log base)))) (/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 5 binary64)) (atan2.f64 im re)))
#s(approx (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 2) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 4) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)))
#s(approx (pow (exp 2) (log (log base))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (exp 2) (log (log base))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log (log base)) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))
#s(approx (pow (log base) 6) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 6 binary64)))

rewrite59.0ms (1%)

Memory

6.1MiB live, 108.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	182
0	57	180
1	127	173
0	525	173

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

20 → 165

Calls

Call 1

Inputs
(*.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(atan2.f64 im re)
#s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.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 6 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 6 binary64))

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

eval29.0ms (0.5%)

Memory: -6.5MiB live, 83.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 5 687 to 681 computations (88% saved)

prune23.0ms (0.4%)

Memory

37.0MiB live, 80.9MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	264	10	274
Fresh	5	1	6
Picked	2	3	5
Done	0	5	5
Total	271	19	290

Accuracy

100.0%

Counts

290 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)))
✓	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	11.2%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 (pow.f64 base (log.f64 base))))
	99.2%	(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	49.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	98.8%	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	99.1%	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.3%	(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
✓	99.4%	(*.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	50.0%	(.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
	49.6%	(.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))))
	99.1%	(.f64 (.f64 #s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (log.f64 base)) (log.f64 base))
✓	99.2%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.2%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	99.1%	(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 6)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓	99.2%	(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 1 159 to 428 computations (63.1% saved)

regimes68.0ms (1.1%)

Memory

-15.9MiB live, 174.5MiB allocated; 24ms collecting garbage

Accuracy

Total -63.0b remaining (-19902.4%)

Threshold costs -63b (-19902.4%)

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (atan2.f64 im re) #s(approx (/ (log base) (pow (log base) 2)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 (pow.f64 base (log.f64 base))))
(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 6)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (log.f64 base)) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (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 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 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.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 6 binary64)))
(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(approx ( (* (log base) (atan2 im re)) (pow (log base) 2)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (atan2.f64 im re) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 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 4 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 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 (log.f64 base) (atan2.f64 im re)) (/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)))))

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

Calls

5 calls:

14.0ms	(log.f64 base)
14.0ms	re
13.0ms	im
11.0ms	base
10.0ms	(/.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
99.5%	1	`(log.f64 base)`
99.5%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify74.0ms (1.2%)

Memory

-13.5MiB live, 50.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	21
1	58	19
2	229	15
3	1797	13
4	6321	13

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations40.0ms (0.7%)

Memory

-24.1MiB live, 21.9MiB allocated; 8ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 35 to 22 computations (37.1% saved)

preprocess12.0ms (0.2%)

Memory: 28.9MiB live, 28.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 126 to 80 computations (36.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze230.0ms (3.7%)

sample1.8s (29.5%)

explain387.0ms (6.2%)

preprocess274.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify133.0ms (2.1%)

localize108.0ms (1.7%)

series180.0ms (2.9%)

simplify128.0ms (2.1%)

rewrite61.0ms (1%)

eval85.0ms (1.4%)

prune13.0ms (0.2%)

simplify105.0ms (1.7%)

localize114.0ms (1.8%)

series101.0ms (1.6%)

simplify111.0ms (1.8%)

rewrite60.0ms (1%)

eval15.0ms (0.2%)

prune40.0ms (0.6%)

simplify184.0ms (3%)

localize120.0ms (1.9%)

series318.0ms (5.1%)

simplify145.0ms (2.3%)

rewrite60.0ms (1%)

eval35.0ms (0.6%)

prune41.0ms (0.7%)

simplify306.0ms (4.9%)

localize160.0ms (2.6%)

series381.0ms (6.2%)

simplify160.0ms (2.6%)

rewrite59.0ms (1%)

eval29.0ms (0.5%)

prune23.0ms (0.4%)

regimes68.0ms (1.1%)

simplify74.0ms (1.2%)

derivations40.0ms (0.7%)

preprocess12.0ms (0.2%)

end0.0ms (0%)

Profiling