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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze194.0ms (2.7%)

Memory

-3.2MiB live, 74.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.8s (24.9%)

Memory

22.7MiB live, 1 483.2MiB allocated

Samples

1.4s

8 256×

valid

Precisions

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

ival-log: 427.0ms (38.6% of total)

ival-hypot: 251.0ms (22.7% of total)

ival-mult: 190.0ms (17.2% of total)

ival-atan2: 101.0ms (9.1% of total)

ival-div: 46.0ms (4.2% of total)

ival-sub: 39.0ms (3.5% of total)

ival-add: 36.0ms (3.3% of total)

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

exact: 5.0ms (0.5% of total)

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

Bogosity

explain288.0ms (4%)

Memory

2.9MiB live, 433.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
126	-	2	(-7.54849539482463e-225 -1.7168804133138129e-161 2.2330025470705627e-105)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
1	-	1	(6.405078385757296e+305 2.7409707985927254e-5 2.8132361704119047e+293)	`(*.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	113	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	113
↳	`(*.f64 re re)`	overflow	56
↳	`(*.f64 im im)`	overflow	70

Confusion

	Predicted +	Predicted -
+	113	11
-	0	132

Precision

1.0

Recall

0.9112903225806451

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	11
-	0	0	132

Precision?

1.0

Recall?

0.9112903225806451

Freqs

test

number	freq
0	143
1	113

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

87.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 18.0ms (31.5% of total)

ival-log: 13.0ms (22.7% of total)

ival-hypot: 8.0ms (14% of total)

ival-sub: 6.0ms (10.5% of total)

ival-add: 4.0ms (7% of total)

ival-atan2: 4.0ms (7% of total)

ival-div: 3.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess228.0ms (3.2%)

Memory

14.4MiB live, 186.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(/.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

▶

51.2%

(/.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)

simplify201.0ms (2.8%)

Memory

-20.9MiB live, 136.9MiB allocated

Algorithm

1×	egg-herbie

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

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (0.8%)

Memory

31.2MiB live, 108.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.28181507126106203	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.31087875976844204	(/.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	0.5667763183790943	(*.f64 (log.f64 base) (log.f64 base))
accuracy	29.166370271346146	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

43.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 15.0ms (46.4% of total)

ival-log: 6.0ms (18.6% of total)

ival-hypot: 4.0ms (12.4% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series136.0ms (1.9%)

Memory

4.3MiB live, 230.3MiB allocated

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
29.0ms	im	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (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)))
29.0ms	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)))
14.0ms	re	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (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)))

simplify171.0ms (2.4%)

Memory

14.8MiB live, 212.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	469
1	313	466
2	990	464
3	3574	428
4	6698	428
0	8048	394

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

rewrite245.0ms (3.4%)

Memory

-14.7MiB live, 337.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
0	34	38
1	110	36
2	733	31
3	7118	31
0	8561	26

Stop Event

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

Counts

6 → 1 565

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

eval229.0ms (3.2%)

Memory: 33.8MiB live, 382.7MiB allocated
Compiler: Compiled 35 684 to 2 667 computations (92.5% saved)

prune43.0ms (0.6%)

Memory

-29.8MiB live, 135.3MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	1 175	22	1 197
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 176	22	1 198

Accuracy

100.0%

Counts

1 198 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.1%	(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
	88.4%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.1%	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
▶	99.2%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.2%	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
▶	88.9%	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	98.9%	(.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))))
	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	99.3%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
	98.9%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
	99.0%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	89.0%	(.f64 (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	99.0%	(.f64 (.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (log.f64 base))

Compiler

Compiled 590 to 464 computations (21.4% saved)

simplify210.0ms (2.9%)

Memory

18.3MiB live, 252.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
cost-diff	2	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	9	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
cost-diff	0	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	5	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	160
0	40	140
1	61	140
2	116	140
3	278	140
4	690	140
5	1748	140
6	2255	140
7	3203	140
8	4489	140
9	5176	140
10	5844	140
11	6212	140
12	6309	140
13	6309	140
14	6413	140
15	6817	140
16	7253	140
17	7746	140
0	8042	140

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (1.5%)

Memory

-39.1MiB live, 149.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3671875	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.42416000976844204	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0.45541000976844204	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))
accuracy	6.764818866816619	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0.296875	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.30057955949837767	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
accuracy	0.7541353516639131	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.9496005861065219	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.28181507126106203	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.31544877930532605	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.5508576172213042	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.34603500976844204	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.40069351503440415	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.3671875	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

91.0ms

256×

valid

Compiler

Compiled 162 to 26 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-pow: 16.0ms (38.9% of total)

ival-div: 9.0ms (21.9% of total)

ival-mult: 8.0ms (19.4% of total)

ival-log: 3.0ms (7.3% of total)

ival-atan2: 2.0ms (4.9% of total)

ival-pow2: 2.0ms (4.9% of total)

exact: 1.0ms (2.4% of total)

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

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

series104.0ms (1.4%)

Memory

32.7MiB live, 184.1MiB allocated

Counts

15 → 28

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	re	@	inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (* (pow (log base) 3) (atan2 im re)) (pow (log base) 4)) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 4))
11.0ms	base	@	inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (* (pow (log base) 3) (atan2 im re)) (pow (log base) 4)) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 4))
11.0ms	im	@	-inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (* (pow (log base) 3) (atan2 im re)) (pow (log base) 4)) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 4))
11.0ms	im	@	0	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (* (pow (log base) 3) (atan2 im re)) (pow (log base) 4)) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 4))
10.0ms	base	@	-inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (* (log base) (atan2 im re)) (/ (* (pow (log base) 3) (atan2 im re)) (pow (log base) 4)) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) (* (pow (/ (atan2 im re) (log base)) 2) (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (pow (/ (atan2 im re) (log base)) 2) (pow (log base) 4))

simplify178.0ms (2.5%)

Memory

-28.9MiB live, 215.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	214
1	90	205
2	195	205
3	655	205
4	2002	205
5	4674	205
6	6971	205
0	8558	205

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

Calls

Call 1

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

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

rewrite194.0ms (2.7%)

Memory

-0.5MiB live, 236.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
0	40	81
1	113	81
2	528	81
0	4109	81

Stop Event

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

Counts

15 → 2 135

Calls

Call 1

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

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

eval269.0ms (3.7%)

Memory: 17.9MiB live, 317.3MiB allocated
Compiler: Compiled 32 655 to 3 446 computations (89.4% saved)

prune53.0ms (0.7%)

Memory

-0.7MiB live, 165.0MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1 571	18	1 589
Fresh	12	5	17
Picked	0	5	5
Done	0	0	0
Total	1 583	28	1 611

Accuracy

100.0%

Counts

1 611 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	99.1%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re)))
	99.1%	(/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (atan2.f64 im re)))
	99.2%	(/.f64 (atan2.f64 im re) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)))
	99.2%	(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	99.2%	(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
✓	99.4%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	48.8%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
	89.4%	(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
	88.4%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.2%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	53.5%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 base))))
▶	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base))))
	98.9%	(.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	88.9%	(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
▶	99.0%	(.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re)))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	89.2%	(*.f64 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
	99.1%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.3%	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	55.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 629 to 520 computations (17.3% saved)

simplify218.0ms (3%)

Memory

1.4MiB live, 250.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 3 binary64))
cost-diff	7	(.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re)))
cost-diff	0	(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (log.f64 base))
cost-diff	9	(*.f64 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
cost-diff	0	(log.f64 (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	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	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff	2	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	2	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	0	(neg.f64 (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 base))
cost-diff	3	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	170
0	48	158
1	81	141
2	157	141
3	529	141
4	1924	141
5	3339	141
6	4822	141
7	5152	141
8	5356	141
9	5637	141
10	5896	141
11	7922	141
0	8130	141

Stop Event

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

Calls

Call 1

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

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

localize82.0ms (1.1%)

Memory

-1.8MiB live, 153.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re))
accuracy	0.22671680757243778	(.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re)))
accuracy	0.36925517583195644	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.47833647467416646	(pow.f64 (log.f64 base) #s(literal -4 binary64))
accuracy	0.03125	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
accuracy	0.05078125	(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
accuracy	0.20216752930532605	(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (log.f64 base))
accuracy	3.772988857807619	(*.f64 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
accuracy	0.0	(log.f64 base)
accuracy	0.0234375	(log.f64 (log.f64 base))
accuracy	0.19921875	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
accuracy	0.516977978146528	(exp.f64 (log.f64 (log.f64 base)))
accuracy	0.0	(log.f64 base)
accuracy	0.03125	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.23828125	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0.28741226503440415	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0.0	(neg.f64 (atan2.f64 im re))
accuracy	0.0	(log.f64 base)
accuracy	0.14453125	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0.18359375	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))

Samples

34.0ms	129×	0	invalid
28.0ms	127×	0	valid

Compiler

Compiled 172 to 30 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 11.0ms (25.5% of total)

ival-div: 9.0ms (20.9% of total)

ival-log: 7.0ms (16.2% of total)

ival-pow: 7.0ms (16.2% of total)

ival-pow2: 3.0ms (7% of total)

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

ival-atan2: 2.0ms (4.6% of total)

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

exact: 1.0ms (2.3% of total)

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

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

series233.0ms (3.2%)

Memory

-12.6MiB live, 270.8MiB allocated

Counts

20 → 33

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
67.0ms	base	@	0	((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (exp (log (log base))) (/ (atan2 im re) (exp (log (log base)))) (log (log base)) (* (/ (neg (pow (atan2 im re) 2)) (log base)) (/ -1 (atan2 im re))) (/ (neg (pow (atan2 im re) 2)) (log base)) (neg (pow (atan2 im re) 2)) (pow (atan2 im re) 2) (* (pow (log base) 3) (* (pow (log base) -4) (atan2 im re))) (pow (log base) 3) (* (pow (log base) -4) (atan2 im re)) (/ -1 (atan2 im re)) (pow (log base) -4))
63.0ms	base	@	-inf	((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (exp (log (log base))) (/ (atan2 im re) (exp (log (log base)))) (log (log base)) (* (/ (neg (pow (atan2 im re) 2)) (log base)) (/ -1 (atan2 im re))) (/ (neg (pow (atan2 im re) 2)) (log base)) (neg (pow (atan2 im re) 2)) (pow (atan2 im re) 2) (* (pow (log base) 3) (* (pow (log base) -4) (atan2 im re))) (pow (log base) 3) (* (pow (log base) -4) (atan2 im re)) (/ -1 (atan2 im re)) (pow (log base) -4))
44.0ms	base	@	inf	((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (exp (log (log base))) (/ (atan2 im re) (exp (log (log base)))) (log (log base)) (* (/ (neg (pow (atan2 im re) 2)) (log base)) (/ -1 (atan2 im re))) (/ (neg (pow (atan2 im re) 2)) (log base)) (neg (pow (atan2 im re) 2)) (pow (atan2 im re) 2) (* (pow (log base) 3) (* (pow (log base) -4) (atan2 im re))) (pow (log base) 3) (* (pow (log base) -4) (atan2 im re)) (/ -1 (atan2 im re)) (pow (log base) -4))
12.0ms	im	@	inf	((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (exp (log (log base))) (/ (atan2 im re) (exp (log (log base)))) (log (log base)) (* (/ (neg (pow (atan2 im re) 2)) (log base)) (/ -1 (atan2 im re))) (/ (neg (pow (atan2 im re) 2)) (log base)) (neg (pow (atan2 im re) 2)) (pow (atan2 im re) 2) (* (pow (log base) 3) (* (pow (log base) -4) (atan2 im re))) (pow (log base) 3) (* (pow (log base) -4) (atan2 im re)) (/ -1 (atan2 im re)) (pow (log base) -4))
11.0ms	re	@	0	((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (exp (log (log base))) (/ (atan2 im re) (exp (log (log base)))) (log (log base)) (* (/ (neg (pow (atan2 im re) 2)) (log base)) (/ -1 (atan2 im re))) (/ (neg (pow (atan2 im re) 2)) (log base)) (neg (pow (atan2 im re) 2)) (pow (atan2 im re) 2) (* (pow (log base) 3) (* (pow (log base) -4) (atan2 im re))) (pow (log base) 3) (* (pow (log base) -4) (atan2 im re)) (/ -1 (atan2 im re)) (pow (log base) -4))

simplify181.0ms (2.5%)

Memory

37.0MiB live, 147.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	228
1	91	219
2	155	219
3	430	218
4	1242	218
5	3610	218
6	5994	218
7	7996	218
0	8003	218

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

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

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

rewrite302.0ms (4.2%)

Memory

-21.5MiB live, 246.5MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	129
0	48	115
1	134	98
2	543	98
3	3567	97
0	9064	97

Stop Event

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

Counts

20 → 1 687

Calls

Call 1

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

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

eval241.0ms (3.3%)

Memory: 36.1MiB live, 226.3MiB allocated
Compiler: Compiled 17 650 to 2 759 computations (84.4% saved)

prune85.0ms (1.2%)

Memory

-38.8MiB live, 67.9MiB allocated

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	1 019	8	1 027
Fresh	10	8	18
Picked	1	4	5
Done	2	3	5
Total	1 032	23	1 055

Accuracy

100.0%

Counts

1 055 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	89.3%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
	99.1%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re)))
▶	99.2%	(/.f64 (atan2.f64 im re) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)))
✓	99.4%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	48.8%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
▶	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	53.6%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
	53.2%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal -2 binary64)) (log.f64 base)))
	89.4%	(/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)) (log.f64 base))))
✓	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	53.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (atan2.f64 im re)))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	89.2%	(*.f64 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
	99.1%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	49.1%	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (neg.f64 (atan2.f64 im re)))
	89.2%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)) (log.f64 base))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	99.3%	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
▶	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	55.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 449 to 395 computations (12% saved)

simplify135.0ms (1.9%)

Memory

5.2MiB live, 127.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	180
0	46	173
1	69	172
2	108	145
3	165	145
4	713	145
5	2518	145
6	4418	145
7	6184	145
8	7809	145
0	8322	145

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (1.2%)

Memory

3.5MiB live, 158.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
accuracy	0.125	(/.f64 (atan2.f64 im re) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)))
accuracy	0.16015625	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base))
accuracy	0.17025375976844204	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.0546875	(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
accuracy	0.08203125	(/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
accuracy	0.09765625	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (neg.f64 (atan2.f64 im re)))
accuracy	0.13576127930532605	(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.08984375	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
accuracy	0.09765625	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
accuracy	0.17025375976844204	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.125	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.15072250976844204	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
accuracy	0.5881668892632045	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy	0.0	(log.f64 base)
accuracy	0.07421875	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.10212757126106203	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.166347509768442	(pow.f64 (log.f64 base) #s(literal 2 binary64))

Samples

45.0ms	186×	0	invalid
19.0ms	70×	0	valid

Compiler

Compiled 182 to 29 computations (84.1% saved)

Precisions

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

ival-div: 13.0ms (29.2% of total)

ival-pow: 10.0ms (22.5% of total)

ival-mult: 6.0ms (13.5% of total)

ival-log: 5.0ms (11.2% of total)

ival-pow2: 5.0ms (11.2% of total)

ival-atan2: 2.0ms (4.5% of total)

ival-sqrt: 2.0ms (4.5% of total)

exact: 1.0ms (2.2% of total)

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

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

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

series78.0ms (1.1%)

Memory

1.8MiB live, 160.6MiB allocated

Counts

18 → 28

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	base	@	inf	((/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (log base) (atan2 im re) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (* (/ -1 (pow (pow (log base) -1/2) -2)) (neg (atan2 im re))) (/ -1 (pow (pow (log base) -1/2) -2)) (pow (pow (log base) -1/2) -2) (pow (log base) -1/2) (/ (/ 1 (pow (log base) -2)) (log base)) (/ 1 (pow (log base) -2)) (/ (atan2 im re) (/ (/ 1 (pow (log base) -2)) (log base))) (pow (log base) 2))
10.0ms	base	@	0	((/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (log base) (atan2 im re) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (* (/ -1 (pow (pow (log base) -1/2) -2)) (neg (atan2 im re))) (/ -1 (pow (pow (log base) -1/2) -2)) (pow (pow (log base) -1/2) -2) (pow (log base) -1/2) (/ (/ 1 (pow (log base) -2)) (log base)) (/ 1 (pow (log base) -2)) (/ (atan2 im re) (/ (/ 1 (pow (log base) -2)) (log base))) (pow (log base) 2))
10.0ms	base	@	-inf	((/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (log base) (atan2 im re) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (* (/ -1 (pow (pow (log base) -1/2) -2)) (neg (atan2 im re))) (/ -1 (pow (pow (log base) -1/2) -2)) (pow (pow (log base) -1/2) -2) (pow (log base) -1/2) (/ (/ 1 (pow (log base) -2)) (log base)) (/ 1 (pow (log base) -2)) (/ (atan2 im re) (/ (/ 1 (pow (log base) -2)) (log base))) (pow (log base) 2))
10.0ms	re	@	0	((/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (log base) (atan2 im re) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (* (/ -1 (pow (pow (log base) -1/2) -2)) (neg (atan2 im re))) (/ -1 (pow (pow (log base) -1/2) -2)) (pow (pow (log base) -1/2) -2) (pow (log base) -1/2) (/ (/ 1 (pow (log base) -2)) (log base)) (/ 1 (pow (log base) -2)) (/ (atan2 im re) (/ (/ 1 (pow (log base) -2)) (log base))) (pow (log base) 2))
9.0ms	im	@	0	((/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (log base) (atan2 im re) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (* (/ -1 (pow (pow (log base) -1/2) -2)) (neg (atan2 im re))) (/ -1 (pow (pow (log base) -1/2) -2)) (pow (pow (log base) -1/2) -2) (pow (log base) -1/2) (/ (/ 1 (pow (log base) -2)) (log base)) (/ 1 (pow (log base) -2)) (/ (atan2 im re) (/ (/ 1 (pow (log base) -2)) (log base))) (pow (log base) 2))

simplify103.0ms (1.4%)

Memory

19.1MiB live, 57.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	197
1	68	188
2	112	187
3	233	187
4	532	187
5	1086	187
6	1639	187
7	2471	187
8	3035	187
9	3121	187
10	3172	187
11	3196	187
12	3196	187
13	3203	187
0	3203	187

Stop Event

1×	iter limit
1×	saturated

Counts

28 → 28

Calls

Call 1

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

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

rewrite175.0ms (2.4%)

Memory

-26.2MiB live, 170.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	129
0	46	114
1	141	82
2	600	82
0	4175	82

Stop Event

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

Counts

18 → 1 733

Calls

Call 1

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

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

eval214.0ms (3%)

Memory: 22.0MiB live, 409.2MiB allocated
Compiler: Compiled 32 492 to 4 783 computations (85.3% saved)

prune52.0ms (0.7%)

Memory

5.0MiB live, 119.7MiB allocated

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	1 793	10	1 803
Fresh	1	10	11
Picked	1	4	5
Done	3	4	7
Total	1 798	28	1 826

Accuracy

100.0%

Counts

1 826 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.8%	(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64))
	52.3%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
✓	56.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	89.3%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
	99.1%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re)))
✓	99.2%	(/.f64 (atan2.f64 im re) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)))
✓	99.4%	(/.f64 (atan2.f64 im re) (log.f64 base))
	49.1%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
✓	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	48.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	53.6%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
	53.2%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal -2 binary64)) (log.f64 base)))
	89.4%	(/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)) (log.f64 base))))
✓	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	53.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
	48.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (atan2.f64 im re))
	49.1%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (atan2.f64 im re)))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.1%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.3%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	49.1%	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (neg.f64 (atan2.f64 im re)))
	89.2%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)) (log.f64 base))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	49.5%	(.f64 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))) (neg.f64 (atan2.f64 im re)))
	55.5%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
	55.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 1 065 to 457 computations (57.1% saved)

regimes84.0ms (1.2%)

Memory

0.8MiB live, 130.2MiB allocated

Accuracy

Total -63.6b remaining (-17329.8%)

Threshold costs -63.6b (-17329.8%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	(log.f64 base)
17.0ms	im
15.0ms	re
14.0ms	base
14.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
99.4%	1	`re`
99.4%	1	`im`
99.4%	1	`base`
99.4%	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))))`
99.4%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify77.0ms (1.1%)

Memory

-22.0MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness142.0ms (2%)

Memory

-5.6MiB live, 75.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
0	34	38
1	110	36
2	733	31
3	7118	31
0	8561	26

Stop Event

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

preprocess16.0ms (0.2%)

Memory: 23.7MiB live, 23.7MiB allocated
Compiler: Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze194.0ms (2.7%)

sample1.8s (24.9%)

explain288.0ms (4%)

preprocess228.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify201.0ms (2.8%)

localize61.0ms (0.8%)

series136.0ms (1.9%)

simplify171.0ms (2.4%)

rewrite245.0ms (3.4%)

eval229.0ms (3.2%)

prune43.0ms (0.6%)

simplify210.0ms (2.9%)

localize108.0ms (1.5%)

series104.0ms (1.4%)

simplify178.0ms (2.5%)

rewrite194.0ms (2.7%)

eval269.0ms (3.7%)

prune53.0ms (0.7%)

simplify218.0ms (3%)

localize82.0ms (1.1%)

series233.0ms (3.2%)

simplify181.0ms (2.5%)

rewrite302.0ms (4.2%)

eval241.0ms (3.3%)

prune85.0ms (1.2%)

simplify135.0ms (1.9%)

localize86.0ms (1.2%)

series78.0ms (1.1%)

simplify103.0ms (1.4%)

rewrite175.0ms (2.4%)

eval214.0ms (3%)

prune52.0ms (0.7%)

regimes84.0ms (1.2%)

simplify77.0ms (1.1%)

soundness142.0ms (2%)

preprocess16.0ms (0.2%)

end0.0ms (0%)

Profiling