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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze273.0ms (3.6%)

Memory

-24.2MiB live, 172.4MiB 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)

sample1.7s (22.6%)

Memory

68.8MiB live, 1 636.0MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 923.0ms

ival-log: 208.0ms (22.5% of total)

ival-hypot: 197.0ms (21.3% of total)

ival-mult: 194.0ms (21% of total)

ival-add: 103.0ms (11.2% of total)

ival-atan2: 80.0ms (8.7% of total)

ival-div: 78.0ms (8.4% of total)

ival-sub: 47.0ms (5.1% of total)

ival-true: 7.0ms (0.8% of total)

exact: 6.0ms (0.6% of total)

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

Bogosity

explain314.0ms (4.1%)

Memory

-36.7MiB live, 406.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	1	(1.563511950426943e-156 -2.4276028212989086e-224 2.0419482556561853e-39)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
1	-	1	(1.6532747217951742e+230 1.1578203559435536e-84 17249098247210046.0)	`(*.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	107	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	107
↳	`(*.f64 re re)`	overflow	69
↳	`(*.f64 im im)`	overflow	57

Confusion

	Predicted +	Predicted -
+	107	14
-	0	135

Precision

1.0

Recall

0.8842975206611571

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	107	0	14
-	0	0	135

Precision?

1.0

Recall?

0.8842975206611571

Freqs

test

number	freq
0	149
1	107

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

79.0ms

512×

valid

Compiler

Compiled 389 to 76 computations (80.5% saved)

Precisions

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

ival-mult: 15.0ms (27.2% of total)

ival-log: 13.0ms (23.6% of total)

ival-hypot: 9.0ms (16.3% of total)

ival-add: 7.0ms (12.7% of total)

ival-atan2: 4.0ms (7.3% of total)

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

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

ival-true: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

preprocess226.0ms (3%)

Memory

40.7MiB live, 198.0MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune2.0ms (0%)

Memory

-36.8MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

52.3%

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify177.0ms (2.3%)

Memory

13.7MiB live, 169.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

localize52.0ms (0.7%)

Memory

30.0MiB live, 106.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.31478500976844204	(/.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	0.340812216849389	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.4967575195368841	(*.f64 (log.f64 base) (log.f64 base))
accuracy	28.26445669598721	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

40.0ms

256×

valid

Compiler

Compiled 240 to 38 computations (84.2% saved)

Precisions

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

ival-mult: 8.0ms (28.3% of total)

ival-log: 7.0ms (24.7% of total)

ival-hypot: 5.0ms (17.7% of total)

ival-div: 2.0ms (7.1% of total)

ival-add: 2.0ms (7.1% of total)

ival-atan2: 2.0ms (7.1% of total)

ival-sub: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series200.0ms (2.6%)

Memory

-2.6MiB live, 276.3MiB allocated

Counts

7 → 32

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
99.0ms	base	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
33.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
18.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
10.0ms	im	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
10.0ms	re	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))

simplify173.0ms (2.3%)

Memory

-17.9MiB live, 173.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 30

Calls

Call 1

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

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

rewrite266.0ms (3.5%)

Memory

-13.4MiB live, 335.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 1 566

Calls

Call 1

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

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

eval194.0ms (2.5%)

Memory: 12.6MiB live, 316.8MiB allocated
Compiler: Compiled 35 684 to 2 667 computations (92.5% saved)

prune55.0ms (0.7%)

Memory

10.3MiB live, 102.1MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

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

Accuracy

100.0%

Counts

1 198 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.0%	(/.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)))
	99.4%	(/.f64 (/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (neg.f64 (log.f64 base)))
	84.5%	(/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	84.8%	(/.f64 (.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	99.0%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
	99.0%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	99.4%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
	99.4%	(.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)))
▶	99.0%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	93.6%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))))
	99.1%	(.f64 (.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (log.f64 base))
	48.7%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))

Compiler

Compiled 524 to 422 computations (19.5% saved)

simplify177.0ms (2.3%)

Memory

2.3MiB live, 118.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 4 binary64))
cost-diff	0	(atan2.f64 im re)
cost-diff	384	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	19264	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	13184	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1 binary64))
cost-diff	7168	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	135
0	38	117
1	53	117
2	86	117
3	133	117
4	287	117
5	1081	117
6	1974	117
7	2163	117
8	2294	117
9	2485	117
10	2786	117
11	3171	117
12	5286	117
13	6132	117
14	6582	117
15	6865	117
16	7087	117
17	7313	117
18	7536	117
0	8438	117

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

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

localize146.0ms (1.9%)

Memory

-17.9MiB live, 213.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3287887695368841	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.49707753007021527	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
accuracy	0.7599565430532609	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.9300693361065219	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.31478500976844204	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.340812216849389	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.4967575195368841	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.33203125	(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy	0.48801212423031454	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.29134750976844204	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.5510428834057558	(/.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	0.320976269536884	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

93.0ms

256×

valid

Compiler

Compiled 272 to 48 computations (82.4% saved)

Precisions

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

ival-pow: 13.0ms (28.6% of total)

ival-div: 12.0ms (26.4% of total)

ival-mult: 9.0ms (19.8% of total)

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

ival-log: 3.0ms (6.6% of total)

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

exact: 1.0ms (2.2% of total)

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

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

series95.0ms (1.2%)

Memory

24.6MiB live, 174.1MiB allocated

Counts

15 → 29

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	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) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3)) (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 4) (pow (log base) 2) (pow (log base) 3))
12.0ms	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) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3)) (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 4) (pow (log base) 2) (pow (log base) 3))
12.0ms	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) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3)) (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 4) (pow (log base) 2) (pow (log base) 3))
10.0ms	base	@	0	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (/ (pow (log base) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3)) (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 4) (pow (log base) 2) (pow (log base) 3))
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) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3)) (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 4) (pow (log base) 2) (pow (log base) 3))

simplify113.0ms (1.5%)

Memory

-35.3MiB live, 100.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	196
1	79	187
2	146	187
3	381	187
4	995	187
5	3118	187
6	5887	187
0	8089	187

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

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

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

rewrite178.0ms (2.3%)

Memory

37.9MiB live, 265.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	94
0	38	76
1	114	76
2	465	76
3	2858	76
0	8437	76

Stop Event

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

Counts

15 → 1 780

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

Outputs
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (atan2.f64 im re)))
(.f64 (pow.f64 (log.f64 base) #s(literal -5/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(.f64 (.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(.f64 (.f64 (*.f64 (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 -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 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.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 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 1 binary64)) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (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 3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (neg.f64 (atan2.f64 im re))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (sqrt.f64 (log.f64 base)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #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 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 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.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 3/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5/2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(.f64 (.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 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (-.f64 (/.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) #s(literal -1 binary64))
(.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re))))
(.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 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -5/2 binary64)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(.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 -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(.f64 (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 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 (/.f64 #s(literal 0 binary64) (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(.f64 (.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (neg.f64 (log.f64 base)) (.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.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 (atan2.f64 im re)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(.f64 (neg.f64 (atan2.f64 im re)) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(.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 (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (atan2.f64 im re)))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (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)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)))
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(/.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 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(exp.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (log.f64 (log.f64 base)))))
(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 4 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 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 3/2 binary64)) (sqrt.f64 (log.f64 base)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.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 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 4 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 -2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(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 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base))
(/.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 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 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 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (log.f64 base))) (log.f64 (log.f64 base)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) #s(literal 4 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 (log.f64 base)))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 9/4 binary64)) (pow.f64 (log.f64 base) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (pow.f64 (log.f64 base) #s(literal 9/4 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -6 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -3 binary64))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(/.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(/.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 (log.f64 base)) (log.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (+.f64 (log.f64 (log.f64 base)) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 (log.f64 base)) (log.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))

eval239.0ms (3.1%)

Memory: 23.7MiB live, 327.9MiB allocated
Compiler: Compiled 23 882 to 3 449 computations (85.6% saved)

prune79.0ms (1%)

Memory

-27.1MiB live, 175.6MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1 352	16	1 368
Fresh	10	5	15
Picked	2	3	5
Done	0	0	0
Total	1 364	24	1 388

Accuracy

100.0%

Counts

1 388 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
▶	54.4%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
	47.4%	(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
▶	47.5%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64)))
	47.6%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
	47.6%	(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
	99.4%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 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))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.4%	(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	84.5%	(/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	98.6%	(/.f64 (neg.f64 (log.f64 base)) (*.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (log.f64 base)))
	98.6%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
	49.9%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
✓	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	99.4%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	47.6%	(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
▶	99.4%	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
▶	51.8%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 499 to 431 computations (13.6% saved)

simplify136.0ms (1.8%)

Memory

2.8MiB live, 197.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1/4 binary64))
cost-diff	0	(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff	12800	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(sqrt.f64 (atan2.f64 im re))
cost-diff	0	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
cost-diff	7104	(pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))
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	448	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
cost-diff	13824	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	148
0	41	155
1	54	155
2	85	125
3	158	125
4	520	125
5	1900	125
6	4174	125
7	5665	125
8	6472	125
9	7321	125
10	7533	125
11	7657	125
0	8593	125

Stop Event

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

Calls

Call 1

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

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

localize295.0ms (3.9%)

Memory

26.1MiB live, 99.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 base)
accuracy	0.01171875	(pow.f64 (log.f64 base) #s(literal -1/4 binary64))
accuracy	0.0859375	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64)))
accuracy	0.20548637698974617	(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.0859375	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.5123890211981572	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
accuracy	1.0492820641797262	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy	0.0	(log.f64 base)
accuracy	0.0859375	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
accuracy	0.1875	(pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))
accuracy	1.1835905612299669	(sqrt.f64 (atan2.f64 im re))
accuracy	0.0	(neg.f64 (atan2.f64 im re))
accuracy	0.0	(log.f64 base)
accuracy	0.07259750976844201	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
accuracy	0.109375	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0.0	(log.f64 base)
accuracy	0.0703125	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
accuracy	0.082999716849389	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.0859375	(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))

Samples

233.0ms	66×	0	valid
40.0ms	190×	0	invalid

Compiler

Compiled 298 to 50 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-pow: 226.0ms (89% of total)

ival-div: 8.0ms (3.2% of total)

ival-log: 6.0ms (2.4% of total)

ival-mult: 3.0ms (1.2% of total)

ival-exp: 2.0ms (0.8% of total)

ival-atan2: 2.0ms (0.8% of total)

ival-sqrt: 2.0ms (0.8% of total)

ival-pow2: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series430.0ms (5.6%)

Memory

-13.2MiB live, 477.8MiB allocated

Counts

17 → 21

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
85.0ms	base	@	0	((/ (* (log base) (atan2 im re)) (log base)) (/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) (* (log base) (atan2 im re)) (log base) (* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (neg (atan2 im re)) (pow (sqrt (atan2 im re)) 2) (/ (pow (sqrt (atan2 im re)) 2) (log base)) (sqrt (atan2 im re)) (atan2 im re) (exp (log (/ (atan2 im re) (log base)))) (log (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (/ (atan2 im re) (pow (pow (log base) -1/4) -4)) (pow (pow (log base) -1/4) -4) (pow (log base) -1/4))
70.0ms	im	@	inf	((/ (* (log base) (atan2 im re)) (log base)) (/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) (* (log base) (atan2 im re)) (log base) (* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (neg (atan2 im re)) (pow (sqrt (atan2 im re)) 2) (/ (pow (sqrt (atan2 im re)) 2) (log base)) (sqrt (atan2 im re)) (atan2 im re) (exp (log (/ (atan2 im re) (log base)))) (log (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (/ (atan2 im re) (pow (pow (log base) -1/4) -4)) (pow (pow (log base) -1/4) -4) (pow (log base) -1/4))
68.0ms	im	@	-inf	((/ (* (log base) (atan2 im re)) (log base)) (/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) (* (log base) (atan2 im re)) (log base) (* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (neg (atan2 im re)) (pow (sqrt (atan2 im re)) 2) (/ (pow (sqrt (atan2 im re)) 2) (log base)) (sqrt (atan2 im re)) (atan2 im re) (exp (log (/ (atan2 im re) (log base)))) (log (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (/ (atan2 im re) (pow (pow (log base) -1/4) -4)) (pow (pow (log base) -1/4) -4) (pow (log base) -1/4))
49.0ms	base	@	inf	((/ (* (log base) (atan2 im re)) (log base)) (/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) (* (log base) (atan2 im re)) (log base) (* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (neg (atan2 im re)) (pow (sqrt (atan2 im re)) 2) (/ (pow (sqrt (atan2 im re)) 2) (log base)) (sqrt (atan2 im re)) (atan2 im re) (exp (log (/ (atan2 im re) (log base)))) (log (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (/ (atan2 im re) (pow (pow (log base) -1/4) -4)) (pow (pow (log base) -1/4) -4) (pow (log base) -1/4))
45.0ms	base	@	-inf	((/ (* (log base) (atan2 im re)) (log base)) (/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) (* (log base) (atan2 im re)) (log base) (* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (neg (atan2 im re)) (pow (sqrt (atan2 im re)) 2) (/ (pow (sqrt (atan2 im re)) 2) (log base)) (sqrt (atan2 im re)) (atan2 im re) (exp (log (/ (atan2 im re) (log base)))) (log (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (/ (atan2 im re) (pow (pow (log base) -1/4) -4)) (pow (pow (log base) -1/4) -4) (pow (log base) -1/4))

simplify34.0ms (0.4%)

Memory

-21.9MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	140
1	57	134
2	84	134
3	170	134
4	363	134
5	670	134
6	1025	134
7	1343	134
8	1381	134
9	1385	134
0	1385	134

Stop Event

1×	iter limit
1×	saturated

Counts

21 → 21

Calls

Call 1

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

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

rewrite138.0ms (1.8%)

Memory

37.2MiB live, 228.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	109
0	41	113
1	114	107
2	462	77
3	3084	77
0	8620	77

Stop Event

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

Counts

17 → 2 359

Calls

Call 1

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

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

eval191.0ms (2.5%)

Memory: -12.5MiB live, 219.7MiB allocated
Compiler: Compiled 21 247 to 3 348 computations (84.2% saved)

prune63.0ms (0.8%)

Memory

-5.4MiB live, 86.5MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	1 322	6	1 328
Fresh	5	11	16
Picked	1	4	5
Done	1	2	3
Total	1 329	23	1 352

Accuracy

100.0%

Counts

1 352 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
▶	54.3%	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (log.f64 base))
	84.9%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
✓	54.4%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
	47.4%	(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	47.5%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64)))
	47.6%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
	47.6%	(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
▶	99.4%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	84.8%	(/.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	98.6%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
	49.9%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
✓	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
▶	55.6%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
	47.6%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
▶	47.6%	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (atan2.f64 im re)))
✓	99.4%	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
✓	51.8%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 430 to 386 computations (10.2% saved)

simplify101.0ms (1.3%)

Memory

1.7MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))
cost-diff	0	(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal 4 binary64))
cost-diff	0	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (log.f64 base))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
cost-diff	0	(sqrt.f64 (log.f64 base))
cost-diff	0	(/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (atan2.f64 im re)))
cost-diff	7104	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	169
0	47	151
1	70	143
2	131	143
3	366	143
4	1008	143
5	1794	143
6	2392	143
7	2849	143
8	2952	143
9	2962	143
10	2966	143
11	2982	143
12	2992	143
13	3022	143
14	3022	143
15	3026	143
16	3026	143
0	3026	143

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize98.0ms (1.3%)

Memory

8.7MiB live, 165.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 base)
accuracy	0.0859375	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (log.f64 base))
accuracy	0.29806157235858666	(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal 4 binary64))
accuracy	1.0361859232589812	(pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.0390625	(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
accuracy	0.07259750976844201	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
accuracy	0.14681625976844204	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.0390625	(sqrt.f64 (log.f64 base))
accuracy	0.07259750976844201	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (atan2.f64 im re)))
accuracy	0.109375	(/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
accuracy	0.12890625	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.0859375	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0.3440116334057558	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0.0	(log.f64 base)
accuracy	0.0859375	(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
accuracy	0.109375	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
accuracy	0.109375	(/.f64 #s(literal -1 binary64) (log.f64 base))

Samples

59.0ms	190×	0	invalid
18.0ms	66×	0	valid

Compiler

Compiled 340 to 58 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 14.0ms (26.2% of total)

ival-pow: 12.0ms (22.5% of total)

ival-pow2: 8.0ms (15% of total)

ival-mult: 5.0ms (9.4% of total)

ival-neg: 5.0ms (9.4% of total)

ival-log: 3.0ms (5.6% of total)

ival-atan2: 2.0ms (3.7% of total)

ival-sqrt: 2.0ms (3.7% of total)

exact: 1.0ms (1.9% of total)

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

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

series540.0ms (7.1%)

Memory

-173.8MiB live, 355.6MiB allocated

Counts

18 → 27

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
311.0ms	im	@	0	((/ -1 (/ -1 (log base))) (/ (atan2 im re) (/ -1 (/ -1 (log base)))) (atan2 im re) (/ -1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2) (* (/ -1 (pow (sqrt (log base)) 2)) (neg (atan2 im re))) (/ -1 (pow (sqrt (log base)) 2)) (sqrt (log base)) (* (pow (pow (log base) 2) -1/2) (neg (atan2 im re))) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (log base) (/ (pow (pow (atan2 im re) 1/4) 4) (log base)) (pow (pow (atan2 im re) 1/4) 4) (pow (atan2 im re) 1/4))
72.0ms	base	@	inf	((/ -1 (/ -1 (log base))) (/ (atan2 im re) (/ -1 (/ -1 (log base)))) (atan2 im re) (/ -1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2) (* (/ -1 (pow (sqrt (log base)) 2)) (neg (atan2 im re))) (/ -1 (pow (sqrt (log base)) 2)) (sqrt (log base)) (* (pow (pow (log base) 2) -1/2) (neg (atan2 im re))) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (log base) (/ (pow (pow (atan2 im re) 1/4) 4) (log base)) (pow (pow (atan2 im re) 1/4) 4) (pow (atan2 im re) 1/4))
30.0ms	im	@	inf	((/ -1 (/ -1 (log base))) (/ (atan2 im re) (/ -1 (/ -1 (log base)))) (atan2 im re) (/ -1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2) (* (/ -1 (pow (sqrt (log base)) 2)) (neg (atan2 im re))) (/ -1 (pow (sqrt (log base)) 2)) (sqrt (log base)) (* (pow (pow (log base) 2) -1/2) (neg (atan2 im re))) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (log base) (/ (pow (pow (atan2 im re) 1/4) 4) (log base)) (pow (pow (atan2 im re) 1/4) 4) (pow (atan2 im re) 1/4))
29.0ms	re	@	-inf	((/ -1 (/ -1 (log base))) (/ (atan2 im re) (/ -1 (/ -1 (log base)))) (atan2 im re) (/ -1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2) (* (/ -1 (pow (sqrt (log base)) 2)) (neg (atan2 im re))) (/ -1 (pow (sqrt (log base)) 2)) (sqrt (log base)) (* (pow (pow (log base) 2) -1/2) (neg (atan2 im re))) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (log base) (/ (pow (pow (atan2 im re) 1/4) 4) (log base)) (pow (pow (atan2 im re) 1/4) 4) (pow (atan2 im re) 1/4))
29.0ms	im	@	-inf	((/ -1 (/ -1 (log base))) (/ (atan2 im re) (/ -1 (/ -1 (log base)))) (atan2 im re) (/ -1 (log base)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (pow (sqrt (log base)) 2) (* (/ -1 (pow (sqrt (log base)) 2)) (neg (atan2 im re))) (/ -1 (pow (sqrt (log base)) 2)) (sqrt (log base)) (* (pow (pow (log base) 2) -1/2) (neg (atan2 im re))) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (log base) (/ (pow (pow (atan2 im re) 1/4) 4) (log base)) (pow (pow (atan2 im re) 1/4) 4) (pow (atan2 im re) 1/4))

simplify94.0ms (1.2%)

Memory

-3.7MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	173
1	71	165
2	131	165
3	309	164
4	740	164
5	1297	164
6	1806	164
7	2443	164
8	2976	164
9	3018	164
10	3018	164
11	3020	164
0	3020	164

Stop Event

1×	iter limit
1×	saturated

Counts

27 → 27

Calls

Call 1

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

rewrite196.0ms (2.6%)

Memory

-2.0MiB live, 109.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	118
0	47	89
1	148	77
2	546	77
3	2728	77
0	8270	77

Stop Event

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

Counts

18 → 1 657

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (log.f64 base))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (sqrt.f64 (log.f64 base)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 1/4 binary64))) (pow.f64 (log.f64 base) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)) (sqrt.f64 (log.f64 base)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (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)) (*.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) (pow.f64 (log.f64 base) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (*.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (neg.f64 (sqrt.f64 (log.f64 base))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (neg.f64 (sqrt.f64 (log.f64 base)))))
(.f64 (sqrt.f64 (log.f64 base)) (/.f64 (.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) (exp.f64 (log.f64 #s(literal -1 binary64))))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 (log.f64 base) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 base))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (log.f64 base))))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (log.f64 base)))
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(*.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (log.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 (atan2.f64 im re)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 4 binary64)) (log.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (atan2.f64 im re)) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (atan2.f64 im re))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1 binary64)) (log.f64 (atan2.f64 im re)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 im re))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (atan2.f64 im re)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/8 binary64))))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)) #s(literal -1/8 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) #s(literal -1/4 binary64))
(pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (neg.f64 (atan2.f64 im re)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64)))
(sqrt.f64 (sqrt.f64 (atan2.f64 im re)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 im re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/16 binary64))) #s(literal 4 binary64)))
(exp.f64 (log.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))))

eval271.0ms (3.5%)

Memory: 1.4MiB live, 200.4MiB allocated
Compiler: Compiled 16 360 to 2 667 computations (83.7% saved)

prune99.0ms (1.3%)

Memory

4.8MiB live, 82.6MiB allocated

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	1 040	4	1 044
Fresh	3	9	12
Picked	1	4	5
Done	0	6	6
Total	1 044	23	1 067

Accuracy

100.0%

Counts

1 067 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	84.9%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
✓	54.4%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
	54.3%	(/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 im re))) #s(literal 4 binary64)) (log.f64 base))
	47.4%	(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	47.5%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64)))
	47.6%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
	47.6%	(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
	99.2%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (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) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	47.6%	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re))) (sqrt.f64 (log.f64 base)))
	49.9%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
✓	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	54.1%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal -4 binary64)) (log.f64 base)))
✓	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	55.6%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
✓	47.6%	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (atan2.f64 im re)))
✓	99.4%	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
✓	51.8%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 830 to 367 computations (55.8% saved)

regimes104.0ms (1.4%)

Memory

16.5MiB live, 54.5MiB allocated

Accuracy

Total -63.5b remaining (-19783.6%)

Threshold costs -63.5b (-19783.6%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

5 calls:

56.0ms	im
12.0ms	(log.f64 base)
12.0ms	re
11.0ms	base
11.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`
99.5%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.5%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB 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))

soundness160.0ms (2.1%)

Memory

-26.1MiB live, 56.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

preprocess16.0ms (0.2%)

Memory: 16.8MiB live, 16.8MiB allocated
Compiler: Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze273.0ms (3.6%)

sample1.7s (22.6%)

explain314.0ms (4.1%)

preprocess226.0ms (3%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify177.0ms (2.3%)

localize52.0ms (0.7%)

series200.0ms (2.6%)

simplify173.0ms (2.3%)

rewrite266.0ms (3.5%)

eval194.0ms (2.5%)

prune55.0ms (0.7%)

simplify177.0ms (2.3%)

localize146.0ms (1.9%)

series95.0ms (1.2%)

simplify113.0ms (1.5%)

rewrite178.0ms (2.3%)

eval239.0ms (3.1%)

prune79.0ms (1%)

simplify136.0ms (1.8%)

localize295.0ms (3.9%)

series430.0ms (5.6%)

simplify34.0ms (0.4%)

rewrite138.0ms (1.8%)

eval191.0ms (2.5%)

prune63.0ms (0.8%)

simplify101.0ms (1.3%)

localize98.0ms (1.3%)

series540.0ms (7.1%)

simplify94.0ms (1.2%)

rewrite196.0ms (2.6%)

eval271.0ms (3.5%)

prune99.0ms (1.3%)

regimes104.0ms (1.4%)

simplify8.0ms (0.1%)

soundness160.0ms (2.1%)

preprocess16.0ms (0.2%)

end0.0ms (0%)

Profiling