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

start0.0ms (0%)

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

analyze233.0ms (3.4%)

Memory

26.0MiB live, 352.0MiB allocated; 29ms 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)

sample2.0s (29.2%)

Memory

48.8MiB live, 1 852.6MiB allocated; 361ms collecting garbage

Samples

1.5s

8 256×

valid

Precisions

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

ival-log: 373.0ms (30.7% of total)

ival-hypot: 294.0ms (24.2% of total)

ival-mult: 252.0ms (20.7% of total)

ival-atan2: 98.0ms (8.1% of total)

ival-div: 94.0ms (7.7% of total)

ival-sub: 45.0ms (3.7% of total)

ival-add: 41.0ms (3.4% of total)

ival-true: 7.0ms (0.6% of total)

exact: 6.0ms (0.5% of total)

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

adjust: 3.0ms (0.2% of total)

Bogosity

explain496.0ms (7.2%)

Memory

-14.5MiB live, 388.8MiB allocated; 95ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
133	-	0	-	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
1	-	1	(4.521151108765984e+185 3.7004248496608706e-138 1.5142017391516165e-88)	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`im`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`re`
0	-	0	-	`(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`base`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	121	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	121
↳	`(*.f64 re re)`	overflow	63
↳	`(*.f64 im im)`	overflow	79

Confusion

	Predicted +	Predicted -
+	121	12
-	0	123

Precision

1.0

Recall

0.9097744360902256

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	12
-	0	0	123

Precision?

1.0

Recall?

0.9097744360902256

Freqs

test

number	freq
0	135
1	121

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

110.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 15.0ms (29.3% of total)

ival-log: 11.0ms (21.5% of total)

ival-hypot: 9.0ms (17.6% of total)

ival-add: 5.0ms (9.8% of total)

ival-atan2: 4.0ms (7.8% of total)

ival-div: 3.0ms (5.9% of total)

ival-sub: 3.0ms (5.9% of total)

ival-true: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

preprocess187.0ms (2.7%)

Memory

24.2MiB live, 127.5MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	139
1	207	121
2	627	78
3	1569	63
4	3269	63
5	6670	63
0	18	26
0	34	14
1	63	12
2	162	8
3	344	6
4	618	6
5	1493	6
6	5128	6
7	5816	6
8	6074	6
9	6092	6
10	6097	6
11	7853	6
0	8069	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

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(/.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

▶

47.7%

(/.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)

simplify111.0ms (1.6%)

Memory

6.2MiB live, 54.1MiB 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	6	(/.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	162	71
3	344	69
4	618	69
5	1493	69
6	5128	69
7	5816	69
8	6074	69
9	6092	69
10	6097	69
11	7853	69
0	8069	58

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (1.1%)

Memory

-0.3MiB live, 87.2MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3359375	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy	0.3917937813218253	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.5605850586106521	(*.f64 (log.f64 base) (log.f64 base))
accuracy	31.01970137634366	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

67.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-log: 29.0ms (52.1% of total)

ival-mult: 12.0ms (21.5% of total)

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

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

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

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

ival-div: 1.0ms (1.8% 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)

series126.0ms (1.8%)

Memory

-2.0MiB live, 183.4MiB allocated; 34ms collecting garbage

Counts

6 → 32

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
41.0ms	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)))
20.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (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)))
16.0ms	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)))
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)))
7.0ms	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)))

simplify137.0ms (2%)

Memory

12.7MiB live, 198.0MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	469
1	343	466
2	1279	462
3	5845	460
0	8117	428

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 30

Calls

Call 1

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

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

rewrite106.0ms (1.5%)

Memory

20.7MiB live, 162.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
0	34	38
1	120	36
2	895	33
0	9566	28

Stop Event

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

Counts

6 → 328

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 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)))
(.f64 (.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64)) (log.f64 base)) (log.f64 base))
(.f64 (.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 3 binary64))) (neg.f64 (log.f64 base)))
(.f64 (.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 3 binary64))) (log.f64 base))
(.f64 (.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 (.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 2 binary64))) (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 6 binary64))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (fabs.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (fabs.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (log.f64 base) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 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 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) #s(literal -1 binary64))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) #s(literal 1 binary64))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 #s(literal 1 binary64) (/.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))))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 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 8 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 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
(/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 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 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (.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 3 binary64))) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (.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 3 binary64))) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (.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 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (fabs.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
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eval57.0ms (0.8%)

Memory: -13.9MiB live, 90.0MiB allocated; 34ms collecting garbage
Compiler: Compiled 8 349 to 1 023 computations (87.7% saved)

prune17.0ms (0.2%)

Memory

-1.4MiB live, 44.8MiB allocated; 3ms collecting garbage

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	283	16	299
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	284	16	300

Accuracy

100.0%

Counts

300 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.5%	(/.f64 (fma.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
	87.4%	(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
▶	47.7%	(/.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	93.1%	(/.f64 (.f64 (/.f64 (atan2.f64 im re) (atan2.f64 im re)) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.2%	(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
	99.2%	(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	99.2%	(/.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 8 binary64)))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (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))))
▶	86.8%	(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	92.9%	(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	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)))
	98.9%	(.f64 (.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 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 612 to 418 computations (31.7% saved)

simplify108.0ms (1.6%)

Memory

-32.9MiB live, 158.7MiB allocated; 12ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	5	(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	11	(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 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	0	(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
cost-diff	3	(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
cost-diff	2	(+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
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	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: 0 (0.0ms)

Iter	Nodes	Cost
0	51	315
0	79	245
1	135	241
2	344	229
3	1476	225
4	6959	225
0	8023	214

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 (.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
(*.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 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 10 binary64))
#s(literal 10 binary64)
(pow.f64 (log.f64 base) #s(literal 12 binary64))
#s(literal 12 binary64)
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (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)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 base)
base
#s(literal 2 binary64)
(*.f64 (log.f64 base) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (atan2.f64 im re) #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 (.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 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 (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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 11 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 11 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 10 binary64))
#s(literal 10 binary64)
(pow.f64 (log.f64 base) #s(literal 12 binary64))
#s(literal 12 binary64)
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 base)
base
#s(literal 2 binary64)
(*.f64 (log.f64 base) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))

localize153.0ms (2.2%)

Memory

40.7MiB live, 184.2MiB allocated; 14ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.35546875	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.3917937813218253	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.5605850586106521	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	8.218227145808177	(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.3917937813218253	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.7996437634762044	(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
accuracy	1.7655268111859446	(pow.f64 (log.f64 base) #s(literal 10 binary64))
accuracy	1.9381151411101145	(pow.f64 (log.f64 base) #s(literal 12 binary64))
accuracy	0.3359375	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy	0.3917937813218253	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.9388393068011956	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	31.01970137634366	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
accuracy	0.0	(log.f64 base)
accuracy	0.328125	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.42751149803065913	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.5605850586106521	(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	0.3203125	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

125.0ms

256×

valid

Compiler

Compiled 318 to 41 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 41.0ms (39.9% of total)

ival-add: 17.0ms (16.6% of total)

ival-div: 15.0ms (14.6% of total)

ival-pow: 9.0ms (8.8% of total)

ival-log: 5.0ms (4.9% of total)

ival-pow2: 5.0ms (4.9% of total)

ival-hypot: 4.0ms (3.9% of total)

ival-atan2: 2.0ms (1.9% of total)

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

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series119.0ms (1.7%)

Memory

-34.7MiB live, 202.2MiB allocated; 23ms collecting garbage

Counts

22 → 57

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 (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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (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)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (log.f64 base) #s(literal 12 binary64))
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))

Outputs
(/ (atan2 im re) (log base))
(atan2 im re)
(/ (atan2 im re) (pow (log base) 2))
0
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(* (log base) (atan2 im re))
(* (pow (log base) 11) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(log base)
(pow (log base) 2)
(pow (log base) 4)
(pow (log base) 12)
(pow (log base) 10)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 2)
(* -1 (* (pow (log (/ 1 base)) 11) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 12)
(pow (log (/ 1 base)) 10)
(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 11) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 12)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(/ (pow (atan2 im re) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	im	@	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 (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (atan2 im re)) (pow (log base) 10)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 10)) (pow (log base) 12)) (* (log base) (atan2 im re)) (* (/ (pow (log base) 2) (* (log base) (atan2 im re))) (/ (pow (atan2 im re) 2) (pow (log base) 2))) (/ (pow (log base) 2) (* (log base) (atan2 im re))) (pow (log base) 2) (pow (log base) 4) (* (atan2 im re) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 12) (pow (log base) 10) (/ (pow (atan2 im re) 2) (pow (log base) 2)))
15.0ms	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 (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (atan2 im re)) (pow (log base) 10)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 10)) (pow (log base) 12)) (* (log base) (atan2 im re)) (* (/ (pow (log base) 2) (* (log base) (atan2 im re))) (/ (pow (atan2 im re) 2) (pow (log base) 2))) (/ (pow (log base) 2) (* (log base) (atan2 im re))) (pow (log base) 2) (pow (log base) 4) (* (atan2 im re) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 12) (pow (log base) 10) (/ (pow (atan2 im re) 2) (pow (log base) 2)))
15.0ms	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 (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (atan2 im re)) (pow (log base) 10)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 10)) (pow (log base) 12)) (* (log base) (atan2 im re)) (* (/ (pow (log base) 2) (* (log base) (atan2 im re))) (/ (pow (atan2 im re) 2) (pow (log base) 2))) (/ (pow (log base) 2) (* (log base) (atan2 im re))) (pow (log base) 2) (pow (log base) 4) (* (atan2 im re) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 12) (pow (log base) 10) (/ (pow (atan2 im re) 2) (pow (log base) 2)))
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 (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (atan2 im re)) (pow (log base) 10)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 10)) (pow (log base) 12)) (* (log base) (atan2 im re)) (* (/ (pow (log base) 2) (* (log base) (atan2 im re))) (/ (pow (atan2 im re) 2) (pow (log base) 2))) (/ (pow (log base) 2) (* (log base) (atan2 im re))) (pow (log base) 2) (pow (log base) 4) (* (atan2 im re) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 12) (pow (log base) 10) (/ (pow (atan2 im re) 2) (pow (log base) 2)))
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 (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (atan2 im re)) (pow (log base) 10)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 10)) (pow (log base) 12)) (* (log base) (atan2 im re)) (* (/ (pow (log base) 2) (* (log base) (atan2 im re))) (/ (pow (atan2 im re) 2) (pow (log base) 2))) (/ (pow (log base) 2) (* (log base) (atan2 im re))) (pow (log base) 2) (pow (log base) 4) (* (atan2 im re) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 12) (pow (log base) 10) (/ (pow (atan2 im re) 2) (pow (log base) 2)))

simplify150.0ms (2.2%)

Memory

25.2MiB live, 222.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	663
1	389	652
2	1360	648
3	6091	646
0	8277	614

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 55

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(atan2 im re)
(/ (atan2 im re) (pow (log base) 2))
0
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(* (log base) (atan2 im re))
(* (pow (log base) 11) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(log base)
(pow (log base) 2)
(pow (log base) 4)
(pow (log base) 12)
(pow (log base) 10)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 2)
(* -1 (* (pow (log (/ 1 base)) 11) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 12)
(pow (log (/ 1 base)) 10)
(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 11) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 12)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(/ (pow (atan2 im re) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))

Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
0
#s(literal 0 binary64)
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) im) (.f64 re re) im)
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) re) (/.f64 re (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (.f64 re re) im))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (pow (log base) 11) (atan2 im re))
(*.f64 (pow.f64 (log.f64 base) #s(literal 11 binary64)) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) im) (/.f64 (/.f64 im re) re) re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(.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) (/.f64 im re)) (/.f64 im re) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(.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) (/.f64 im re)) (/.f64 im re) #s(literal 1 binary64)))) re)
(* -1 re)
(neg.f64 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) re) (/.f64 (.f64 im im) re) #s(literal -1 binary64)) re)
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(.f64 (neg.f64 re) (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) (/.f64 im re)) (/.f64 im re) #s(literal 1 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))))))))
(.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) (/.f64 im re)) (/.f64 im re) #s(literal 1 binary64)))))
(+ re (* 1/2 (/ (pow im 2) re)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im im) re)
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) re) re) (.f64 im im) #s(literal 1/2 binary64)) re) (.f64 im im) re)
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) im) (/.f64 im (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (.f64 im im) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re)
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(.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)
(* 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)))))))
(.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)
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal -1 binary64)) im)
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 (neg.f64 im) (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))))
(* -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))))))))
(.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)))))
(log base)
(log.f64 base)
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 12)
(pow.f64 (log.f64 base) #s(literal 12 binary64))
(pow (log base) 10)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (log (/ 1 base)))
(log.f64 base)
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (* (pow (log (/ 1 base)) 11) (atan2 im re)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 11 binary64))) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(pow (log (/ 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 12)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 12 binary64))
(pow (log (/ 1 base)) 10)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 10 binary64))
(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 11) (atan2 im re))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 11 binary64)) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 12)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 12 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 10 binary64))
(/ (pow (atan2 im re) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))

rewrite69.0ms (1%)

Memory

-8.2MiB live, 82.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	231
0	79	167
1	240	160
0	1433	155

Stop Event

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

Counts

22 → 673

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 (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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (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)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (log.f64 base) #s(literal 12 binary64))
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(/.f64 (pow.f64 (atan2.f64 im re) #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 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(atan2.f64 im re)
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #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))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(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 2 binary64)))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (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 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)))
(.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (neg.f64 (log.f64 base))))
(.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (fabs.f64 (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fabs.f64 (log.f64 base))))
(.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re)))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (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 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.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 (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 base)) (atan2.f64 im re))
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re)) (log.f64 base))
(/.f64 (.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (atan2.f64 im re))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))) (atan2.f64 im re))
(/.f64 (.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))) #s(literal 0 binary64)) (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.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 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.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 (.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re)))
(/.f64 (.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(/.f64 (.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(/.f64 (.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (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 (/.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 (log.f64 base) (atan2.f64 im re)))
(/.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 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (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)))))
(fma.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)) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (fabs.f64 (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (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))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
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(fma.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(-.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) #s(literal 0 binary64))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(*.f64 (fabs.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (fabs.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 12 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 6 binary64))
(pow.f64 (log.f64 base) #s(literal 12 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 12 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 12 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 12 binary64))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(*.f64 (fabs.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) (fabs.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64)))
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 10 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 5 binary64))
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 10 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 10 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 10 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (.f64 (log.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))

eval121.0ms (1.8%)

Memory: 18.9MiB live, 115.6MiB allocated; 17ms collecting garbage
Compiler: Compiled 14 434 to 1 876 computations (87% saved)

prune53.0ms (0.8%)

Memory

-30.1MiB live, 58.9MiB allocated; 10ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	537	13	550
Fresh	9	2	11
Picked	4	1	5
Done	0	0	0
Total	550	16	566

Accuracy

100.0%

Counts

566 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.2%	(/.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 10 binary64)))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.1%	(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #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 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 10)) (*.f64 (pow.f64 (log.f64 base) #s(literal 11 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
	98.3%	(.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
▶	99.4%	(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (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))))
	99.0%	(.f64 (log.f64 base) (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶	50.7%	(.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶	51.0%	#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) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 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)))
▶	50.7%	#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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))

Compiler

Compiled 579 to 422 computations (27.1% saved)

simplify121.0ms (1.8%)

Memory

13.2MiB live, 149.6MiB allocated; 27ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (log.f64 base))
cost-diff	2	(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
cost-diff	2	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
cost-diff	5	(.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
cost-diff	0	(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
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) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))))
cost-diff	1	(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
cost-diff	5	(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
cost-diff	2	(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
cost-diff	2	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 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	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(log.f64 base)
cost-diff	1	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
cost-diff	5	(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	263
0	60	178
1	122	170
2	278	164
3	954	160
4	4017	160
0	8159	160

Stop Event

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

Calls

Call 1

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

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

localize265.0ms (3.8%)

Memory

-5.0MiB live, 338.8MiB allocated; 184ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.140625	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.1875	(.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.28257753907376804	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.591196728146528	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
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) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))))
accuracy	0.05078125	(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
accuracy	0.1796875	(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
accuracy	0.27734375	(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
accuracy	0.04296875	(log.f64 (log.f64 base))
accuracy	0.1796875	(/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
accuracy	0.591196728146528	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
accuracy	0.0	(log.f64 base)
accuracy	0.1640625	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
accuracy	0.1875	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
accuracy	0.2839050781475362	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.170253759768442	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
accuracy	0.1796875	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.1875	(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))

Samples

68.0ms	124×	0	invalid
59.0ms	132×	0	valid

Compiler

Compiled 244 to 37 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-log: 28.0ms (37.6% of total)

ival-mult: 18.0ms (24.1% of total)

ival-div: 8.0ms (10.7% of total)

ival-hypot: 5.0ms (6.7% of total)

ival-pow: 4.0ms (5.4% of total)

ival-exp: 2.0ms (2.7% of total)

ival-atan2: 2.0ms (2.7% of total)

ival-sqrt: 2.0ms (2.7% of total)

ival-pow2: 2.0ms (2.7% of total)

ival-add: 1.0ms (1.3% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

series238.0ms (3.4%)

Memory

18.0MiB live, 396.4MiB allocated; 49ms collecting garbage

Counts

20 → 22

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
68.0ms	base	@	0	((* (log base) (/ (/ (atan2 im re) (log base)) (log base))) (/ (/ (atan2 im re) (log base)) (log base)) (log base) (/ (atan2 im re) (log base)) (* (log base) (* (atan2 im re) (pow (log base) -2))) (* (atan2 im re) (pow (log base) -2)) (atan2 im re) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (* (log (log base)) 1))) (* (pow (log base) 1/2) (pow (log base) 1/2)) (pow (log base) 1/2) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (* (pow (log base) 1/2) (pow (log base) 1/2))) (* (exp (* (log (log base)) 1)) (/ (atan2 im re) (pow (log base) 2))) (log (log base)) (pow (log base) -2) (pow (log base) 2) (/ (atan2 im re) (pow (log base) 2)))
61.0ms	base	@	-inf	((* (log base) (/ (/ (atan2 im re) (log base)) (log base))) (/ (/ (atan2 im re) (log base)) (log base)) (log base) (/ (atan2 im re) (log base)) (* (log base) (* (atan2 im re) (pow (log base) -2))) (* (atan2 im re) (pow (log base) -2)) (atan2 im re) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (* (log (log base)) 1))) (* (pow (log base) 1/2) (pow (log base) 1/2)) (pow (log base) 1/2) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (* (pow (log base) 1/2) (pow (log base) 1/2))) (* (exp (* (log (log base)) 1)) (/ (atan2 im re) (pow (log base) 2))) (log (log base)) (pow (log base) -2) (pow (log base) 2) (/ (atan2 im re) (pow (log base) 2)))
41.0ms	base	@	inf	((* (log base) (/ (/ (atan2 im re) (log base)) (log base))) (/ (/ (atan2 im re) (log base)) (log base)) (log base) (/ (atan2 im re) (log base)) (* (log base) (* (atan2 im re) (pow (log base) -2))) (* (atan2 im re) (pow (log base) -2)) (atan2 im re) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (* (log (log base)) 1))) (* (pow (log base) 1/2) (pow (log base) 1/2)) (pow (log base) 1/2) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (* (pow (log base) 1/2) (pow (log base) 1/2))) (* (exp (* (log (log base)) 1)) (/ (atan2 im re) (pow (log base) 2))) (log (log base)) (pow (log base) -2) (pow (log base) 2) (/ (atan2 im re) (pow (log base) 2)))
22.0ms	im	@	inf	((* (log base) (/ (/ (atan2 im re) (log base)) (log base))) (/ (/ (atan2 im re) (log base)) (log base)) (log base) (/ (atan2 im re) (log base)) (* (log base) (* (atan2 im re) (pow (log base) -2))) (* (atan2 im re) (pow (log base) -2)) (atan2 im re) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (* (log (log base)) 1))) (* (pow (log base) 1/2) (pow (log base) 1/2)) (pow (log base) 1/2) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (* (pow (log base) 1/2) (pow (log base) 1/2))) (* (exp (* (log (log base)) 1)) (/ (atan2 im re) (pow (log base) 2))) (log (log base)) (pow (log base) -2) (pow (log base) 2) (/ (atan2 im re) (pow (log base) 2)))
10.0ms	re	@	-inf	((* (log base) (/ (/ (atan2 im re) (log base)) (log base))) (/ (/ (atan2 im re) (log base)) (log base)) (log base) (/ (atan2 im re) (log base)) (* (log base) (* (atan2 im re) (pow (log base) -2))) (* (atan2 im re) (pow (log base) -2)) (atan2 im re) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (* (log (log base)) 1))) (* (pow (log base) 1/2) (pow (log base) 1/2)) (pow (log base) 1/2) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (* (pow (log base) 1/2) (pow (log base) 1/2))) (* (exp (* (log (log base)) 1)) (/ (atan2 im re) (pow (log base) 2))) (log (log base)) (pow (log base) -2) (pow (log base) 2) (/ (atan2 im re) (pow (log base) 2)))

simplify106.0ms (1.5%)

Memory

2.2MiB live, 46.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	145
1	57	138
2	104	138
3	260	138
4	708	138
5	2121	138
6	2904	138
7	3430	138
8	3653	138
9	3653	138
10	3885	138
11	4436	138
12	4441	138
13	4441	138
14	4441	138
0	4441	138

Stop Event

1×	iter limit
1×	saturated

Counts

22 → 22

Calls

Call 1

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

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

rewrite233.0ms (3.4%)

Memory

-18.4MiB live, 216.9MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	209
0	60	145
1	204	137
2	1189	122
0	8688	122

Stop Event

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

Counts

20 → 940

Calls

Call 1

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

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

eval201.0ms (2.9%)

Memory: 7.3MiB live, 196.3MiB allocated; 74ms collecting garbage
Compiler: Compiled 30 668 to 2 971 computations (90.3% saved)

prune29.0ms (0.4%)

Memory

34.3MiB live, 86.4MiB allocated; 9ms collecting garbage

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	998	10	1 008
Fresh	6	4	10
Picked	3	2	5
Done	0	1	1
Total	1 007	17	1 024

Accuracy

100.0%

Counts

1 024 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
	99.2%	(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 10)) (*.f64 (pow.f64 (log.f64 base) #s(literal 11 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
▶	51.0%	(.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	98.3%	(.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
▶	99.5%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
	99.1%	(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	99.4%	(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
▶	99.1%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64))))
▶	50.8%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (sqrt.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 (log.f64 base) (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 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)))
▶	50.7%	#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) (exp.f64 (log.f64 (log.f64 base)))))

Compiler

Compiled 496 to 387 computations (22% saved)

simplify134.0ms (1.9%)

Memory

-0.3MiB live, 179.3MiB allocated; 53ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(sqrt.f64 (log.f64 base))
cost-diff	3	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
cost-diff	5	(.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
cost-diff	0	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	2	(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64))
cost-diff	5	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64))))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -4 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	0	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -4 binary64))))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (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) (exp.f64 (log.f64 (log.f64 base)))))
cost-diff	2	(exp.f64 (log.f64 (log.f64 base)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1 binary64))
cost-diff	2	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	204
0	59	178
1	109	168
2	295	154
3	1092	154
0	8976	154

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.8%)

Memory

3.6MiB live, 243.7MiB allocated; 39ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
accuracy	0.1875	(.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
accuracy	0.27734375	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
accuracy	0.2839050781475362	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.1484375	(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy	0.1640625	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64)))
accuracy	0.1875	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64))))
accuracy	0.2421875	(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64))
accuracy	0.05078125	(sqrt.f64 (log.f64 base))
accuracy	0.1640625	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -4 binary64)))
accuracy	0.1875	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -4 binary64))))
accuracy	0.42593398444260855	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -4 binary64))
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) (exp.f64 (log.f64 (log.f64 base)))))
accuracy	0.04296875	(log.f64 (log.f64 base))
accuracy	0.1796875	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
accuracy	0.591196728146528	(exp.f64 (log.f64 (log.f64 base)))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.1484375	(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy	0.15234375	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))

Samples

60.0ms	124×	0	invalid
37.0ms	132×	0	valid

Compiler

Compiled 199 to 39 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 14.0ms (19.7% of total)

ival-div: 11.0ms (15.5% of total)

ival-add: 11.0ms (15.5% of total)

ival-pow: 11.0ms (15.5% of total)

ival-log: 8.0ms (11.3% of total)

ival-pow2: 5.0ms (7% of total)

ival-hypot: 4.0ms (5.6% of total)

ival-atan2: 2.0ms (2.8% of total)

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

ival-sub: 1.0ms (1.4% of total)

ival->: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

adjust: 0.0ms (0% of total)

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

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

series157.0ms (2.3%)

Memory

-19.0MiB live, 321.2MiB allocated; 61ms collecting garbage

Counts

19 → 22

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	im	@	0	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (exp (log (log base))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (* (log base) (* (atan2 im re) (pow (sqrt (log base)) -4))) (* (atan2 im re) (pow (sqrt (log base)) -4)) (* (log base) (* (atan2 im re) (pow (pow (log base) -1) 2))) (pow (pow (log base) -1) 2) (* (atan2 im re) (pow (pow (log base) -1) 2)) (* (pow (sqrt (log base)) 2) (* (atan2 im re) (pow (log base) -2))) (pow (sqrt (log base)) 2) (sqrt (log base)) (log (log base)) (pow (sqrt (log base)) -4) (pow (log base) -2) (* (atan2 im re) (pow (log base) -2)))
21.0ms	im	@	inf	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (exp (log (log base))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (* (log base) (* (atan2 im re) (pow (sqrt (log base)) -4))) (* (atan2 im re) (pow (sqrt (log base)) -4)) (* (log base) (* (atan2 im re) (pow (pow (log base) -1) 2))) (pow (pow (log base) -1) 2) (* (atan2 im re) (pow (pow (log base) -1) 2)) (* (pow (sqrt (log base)) 2) (* (atan2 im re) (pow (log base) -2))) (pow (sqrt (log base)) 2) (sqrt (log base)) (log (log base)) (pow (sqrt (log base)) -4) (pow (log base) -2) (* (atan2 im re) (pow (log base) -2)))
19.0ms	base	@	inf	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (exp (log (log base))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (* (log base) (* (atan2 im re) (pow (sqrt (log base)) -4))) (* (atan2 im re) (pow (sqrt (log base)) -4)) (* (log base) (* (atan2 im re) (pow (pow (log base) -1) 2))) (pow (pow (log base) -1) 2) (* (atan2 im re) (pow (pow (log base) -1) 2)) (* (pow (sqrt (log base)) 2) (* (atan2 im re) (pow (log base) -2))) (pow (sqrt (log base)) 2) (sqrt (log base)) (log (log base)) (pow (sqrt (log base)) -4) (pow (log base) -2) (* (atan2 im re) (pow (log base) -2)))
18.0ms	base	@	-inf	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (exp (log (log base))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (* (log base) (* (atan2 im re) (pow (sqrt (log base)) -4))) (* (atan2 im re) (pow (sqrt (log base)) -4)) (* (log base) (* (atan2 im re) (pow (pow (log base) -1) 2))) (pow (pow (log base) -1) 2) (* (atan2 im re) (pow (pow (log base) -1) 2)) (* (pow (sqrt (log base)) 2) (* (atan2 im re) (pow (log base) -2))) (pow (sqrt (log base)) 2) (sqrt (log base)) (log (log base)) (pow (sqrt (log base)) -4) (pow (log base) -2) (* (atan2 im re) (pow (log base) -2)))
17.0ms	base	@	0	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (exp (log (log base))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (* (log base) (* (atan2 im re) (pow (sqrt (log base)) -4))) (* (atan2 im re) (pow (sqrt (log base)) -4)) (* (log base) (* (atan2 im re) (pow (pow (log base) -1) 2))) (pow (pow (log base) -1) 2) (* (atan2 im re) (pow (pow (log base) -1) 2)) (* (pow (sqrt (log base)) 2) (* (atan2 im re) (pow (log base) -2))) (pow (sqrt (log base)) 2) (sqrt (log base)) (log (log base)) (pow (sqrt (log base)) -4) (pow (log base) -2) (* (atan2 im re) (pow (log base) -2)))

simplify104.0ms (1.5%)

Memory

19.5MiB live, 65.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	145
1	60	138
2	107	138
3	260	138
4	676	138
5	2088	138
6	2865	138
7	3381	138
8	3604	138
9	3604	138
10	3836	138
11	4387	138
12	4392	138
13	4392	138
14	4392	138
0	4392	138

Stop Event

1×	iter limit
1×	saturated

Counts

22 → 22

Calls

Call 1

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

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

rewrite196.0ms (2.8%)

Memory

-7.4MiB live, 176.2MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	156
0	59	113
1	194	111
2	1133	108
0	8603	108

Stop Event

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

Counts

19 → 1 191

Calls

Call 1

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

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

eval92.0ms (1.3%)

Memory: 32.1MiB live, 120.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 19 541 to 2 264 computations (88.4% saved)

prune60.0ms (0.9%)

Memory

-24.5MiB live, 74.1MiB allocated; 15ms collecting garbage

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	816	8	824
Fresh	1	8	9
Picked	4	1	5
Done	0	3	3
Total	821	20	841

Accuracy

100.0%

Counts

841 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
	99.2%	(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 10)) (*.f64 (pow.f64 (log.f64 base) #s(literal 11 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
	56.2%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
	51.1%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
	51.1%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
	98.3%	(.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
	51.1%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
	51.0%	(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (sqrt.f64 (log.f64 base)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (log.f64 base)))))
	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	99.1%	(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	99.4%	(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
	99.1%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 #s(literal 1 binary64) (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))))
	50.7%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
✓	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)))
✓	50.7%	#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) (exp.f64 (log.f64 (log.f64 base)))))

Compiler

Compiled 1 120 to 417 computations (62.8% saved)

regimes156.0ms (2.3%)

Memory

6.1MiB live, 153.7MiB allocated; 24ms collecting garbage

Accuracy

Total -51.3b remaining (-16016.3%)

Threshold costs -51.3b (-16016.3%)

Counts

48 → 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 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (sqrt.f64 (log.f64 base)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
#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) (exp.f64 (log.f64 (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 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 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) (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 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -4 binary64))))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64))))
#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 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 10)) (*.f64 (pow.f64 (log.f64 base) #s(literal 11 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (log.f64 base) (.f64 (/.f64 (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 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 12 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 8 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(/.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 10 binary64)))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 6 binary64)))
(.f64 (.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (atan2.f64 im re)) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 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:

54.0ms	base
41.0ms	(log.f64 base)
35.0ms	(/.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))))
12.0ms	im
11.0ms	re

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)

simplify189.0ms (2.7%)

Memory

-15.8MiB live, 31.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	21
1	49	19
2	150	15
3	345	13
4	650	13
5	1578	13
6	3340	13
7	4381	13
8	6087	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)))

derivations105.0ms (1.5%)

Memory

16.8MiB live, 61.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	469
1	343	466
2	1279	462
3	5845	460
0	8117	428

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 35 to 22 computations (37.1% saved)

preprocess50.0ms (0.7%)

Memory: -21.7MiB live, 21.3MiB allocated; 8ms 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%)

analyze233.0ms (3.4%)

sample2.0s (29.2%)

explain496.0ms (7.2%)

preprocess187.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify111.0ms (1.6%)

localize79.0ms (1.1%)

series126.0ms (1.8%)

simplify137.0ms (2%)

rewrite106.0ms (1.5%)

eval57.0ms (0.8%)

prune17.0ms (0.2%)

simplify108.0ms (1.6%)

localize153.0ms (2.2%)

series119.0ms (1.7%)

simplify150.0ms (2.2%)

rewrite69.0ms (1%)

eval121.0ms (1.8%)

prune53.0ms (0.8%)

simplify121.0ms (1.8%)

localize265.0ms (3.8%)

series238.0ms (3.4%)

simplify106.0ms (1.5%)

rewrite233.0ms (3.4%)

eval201.0ms (2.9%)

prune29.0ms (0.4%)

simplify134.0ms (1.9%)

localize123.0ms (1.8%)

series157.0ms (2.3%)

simplify104.0ms (1.5%)

rewrite196.0ms (2.8%)

eval92.0ms (1.3%)

prune60.0ms (0.9%)

regimes156.0ms (2.3%)

simplify189.0ms (2.7%)

derivations105.0ms (1.5%)

preprocess50.0ms (0.7%)

end0.0ms (0%)

Profiling