Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	8.1%	91.9%	0%	0%	0%	0
0%	0%	8.1%	91.9%	0%	0%	0%	1
50%	4.1%	4.1%	91.9%	0%	0%	0%	2
75%	6.1%	2%	91.9%	0%	0%	0%	3
87.5%	7.1%	1%	91.9%	0%	0%	0%	4
93.8%	7.6%	0.5%	91.9%	0%	0%	0%	5
96.9%	7.9%	0.3%	91.9%	0%	0%	0%	6
98.4%	8%	0.1%	91.9%	0%	0%	0%	7
99.2%	8%	0.1%	91.9%	0%	0%	0%	8
99.6%	8.1%	0%	91.9%	0%	0%	0%	9
99.8%	8.1%	0%	91.9%	0%	0%	0%	10
99.9%	8.1%	0%	91.9%	0%	0%	0%	11
100%	8.1%	0%	91.9%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.9s (19%)

Memory

-47.2MiB live, 2 081.0MiB allocated

Samples

1.4s	7 464×	1	valid
66.0ms	377×	2	valid
39.0ms	415×	0	valid

Precisions

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

ival-atan: 628.0ms (50.7% of total)

adjust: 220.0ms (17.8% of total)

const: 136.0ms (11% of total)

ival-add: 84.0ms (6.8% of total)

ival-sub: 82.0ms (6.6% of total)

ival->: 37.0ms (3% of total)

ival-<: 29.0ms (2.3% of total)

ival-and: 11.0ms (0.9% of total)

exact: 7.0ms (0.6% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain376.0ms (3.8%)

Memory

-5.4MiB live, 189.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
253	1	(7.803582501746973)	1	(6.738734222208369)	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	0	-	0	-	`N`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(atan.f64 N)`
0	0	-	0	-	`(atan.f64 (+.f64 N #s(literal 1 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`	cancellation	253	2

Confusion

	Predicted +	Predicted -
+	252	1
-	1	2

Precision

0.9960474308300395

Recall

0.9960474308300395

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	252	1	0
-	1	1	1

Precision?

0.9921568627450981

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

300.0ms	460×	1	valid
9.0ms	22×	2	valid
4.0ms	30×	0	valid

Compiler

Compiled 48 to 22 computations (54.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 295.0ms

ival-atan: 271.0ms (91.8% of total)

adjust: 12.0ms (4.1% of total)

ival-sub: 7.0ms (2.4% of total)

ival-add: 5.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess28.0ms (0.3%)

Memory

5.1MiB live, 42.4MiB allocated

Algorithm

1×	egg-herbie

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
66×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	20	17
2	51	16
3	119	16
4	207	16
5	250	16
6	263	16
0	6	7
0	10	7
1	18	7
2	26	7
3	44	7
4	81	7
5	129	7
6	171	7
7	197	7
8	202	7
0	202	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.7%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify10.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(atan.f64 N)
cost-diff	0	(+.f64 N #s(literal 1 binary64))
cost-diff	0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
56×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	18	18
2	26	18
3	44	18
4	81	18
5	129	18
6	171	18
7	197	18
8	202	18
0	202	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)

Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)

localize49.0ms (0.5%)

Memory

-42.9MiB live, 52.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0	(atan.f64 N)
accuracy	57.818492412713894	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

38.0ms	230×	1	valid
2.0ms	11×	2	valid
1.0ms	15×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-atan: 15.0ms (58.3% of total)

adjust: 6.0ms (23.3% of total)

ival-add: 2.0ms (7.8% of total)

ival-sub: 2.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))>
#<alt (atan.f64 (+.f64 N #s(literal 1 binary64)))>
#<alt (+.f64 N #s(literal 1 binary64))>
#<alt (atan.f64 N)>

Outputs
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (- 1 (* -1 N))) (atan N))>
#<alt (- (atan (- 1 (* -1 N))) (atan N))>
#<alt (- (atan (- 1 (* -1 N))) (atan N))>
#<alt (- (atan (- 1 (* -1 N))) (atan N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (- 1 (* -1 N)))>
#<alt (atan (- 1 (* -1 N)))>
#<alt (atan (- 1 (* -1 N)))>
#<alt (atan (- 1 (* -1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	(+ N 1)
0.0ms	N	@	-inf	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	0	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	inf	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	-inf	(+ N 1)

simplify15.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB allocated

Algorithm

1×	egg-herbie

Rules

192×	`lower-fma.f64`
192×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
80×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	186
1	36	186
2	66	186
3	148	186
4	264	186
5	341	186
6	383	186
7	398	186
0	398	186

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 46

Calls

Call 1

Inputs
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)

Outputs
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (- 1 (* -1 N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (- 1 (* -1 N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (- 1 (* -1 N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (- 1 (* -1 N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)

rewrite328.0ms (3.3%)

Memory

7.2MiB live, 475.7MiB allocated

Rules

4 226×	`lower-*.f64`
4 226×	`lower-*.f32`
4 144×	`lower-/.f64`
4 144×	`lower-/.f32`
3 416×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	47	16
2	315	16
3	3374	16
0	9055	16

Stop Event

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

Counts

4 → 283

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
(atan.f64 N)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (neg.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 #s(literal 0 binary64) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
(-.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(-.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 0 binary64)) (atan.f64 N))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (/.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (neg.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (/.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N)))) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 (.f64 N (.f64 N N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) (neg.f64 (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) (.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal 1 binary64)) (.f64 N (*.f64 N N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N (.f64 N (.f64 N N)) (fma.f64 N N #s(literal 1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))) (neg.f64 (fma.f64 (/.f64 (.f64 N (.f64 N N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 (.f64 N (.f64 N N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (.f64 (/.f64 (.f64 N (.f64 N N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))))) (neg.f64 (fma.f64 (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 N (.f64 N N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 (.f64 N (.f64 N N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))) (neg.f64 (/.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))) (neg.f64 (fma.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) (neg.f64 (-.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal 1 binary64)) (.f64 N (.f64 N N)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) (neg.f64 (fma.f64 N (.f64 N N) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N (.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N N #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(*.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 N #s(literal 1 binary64)) (.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))
(*.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))
(.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 N N) (neg.f64 N) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(*.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N (.f64 N N) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N N) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N)) (.f64 N (.f64 N (.f64 N N)))))
(.f64 (/.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))
(.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N (.f64 N N) #s(literal -1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N (.f64 N (*.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal 1 binary64)) (.f64 N (.f64 N N)))))
(.f64 (pow.f64 (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N N) #s(literal -1 binary64))))
(exp.f64 (log.f64 (atan.f64 N)))
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (atan.f64 N)))
(atan.f64 N)
(neg.f64 (neg.f64 (atan.f64 N)))
(pow.f64 (atan.f64 N) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan.f64 N))
(*.f64 #s(literal -1 binary64) (neg.f64 (atan.f64 N)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))

eval63.0ms (0.6%)

Memory: -50.6MiB live, 92.1MiB allocated
Compiler: Compiled 11 315 to 1 063 computations (90.6% saved)

prune42.0ms (0.4%)

Memory

26.1MiB live, 101.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	320	9	329
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	9	330

Accuracy

99.8%

Counts

330 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
▶	99.5%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
	99.6%	(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
▶	99.5%	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
	99.5%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶	99.4%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.4%	(.f64 (/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
	99.5%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Compiler

Compiled 660 to 228 computations (65.5% saved)

simplify329.0ms (3.3%)

Memory

-13.5MiB live, 377.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(atan.f64 N)
cost-diff	0	(fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
cost-diff	320	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
cost-diff	55552	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
cost-diff	0	(+.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff	320	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff	15872	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
cost-diff	0	(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
cost-diff	0	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff	15872	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff	0	(+.f64 N #s(literal 1 binary64))
cost-diff	0	(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
cost-diff	0	(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))

Rules

5 026×	`lower-fma.f32`
5 020×	`lower-fma.f64`
4 416×	`lower-*.f32`
4 406×	`lower-*.f64`
2 804×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	469
0	47	365
1	90	361
2	215	361
3	568	361
4	2985	361
5	7858	361
0	8176	349

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
N
(+.f64 N #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
#s(literal 1 binary64)
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
N
(+.f64 N #s(literal 1 binary64))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
#s(literal 1 binary64)
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
N
(+.f64 N #s(literal 1 binary64))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
N
(+.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
(atan.f64 N)
N
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
#s(literal 2 binary64)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
N
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
N
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
N
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
N
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(atan.f64 N)
N
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
#s(literal 2 binary64)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))

localize165.0ms (1.7%)

Memory

-7.5MiB live, 244.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy	0.35546875	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
accuracy	0.359375	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
accuracy	0.84375	(fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
accuracy	0.03515625	(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy	0.35775375976844204	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
accuracy	0.4453125	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy	0.00390625	(+.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy	0.2890625	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy	0.3203125	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy	0	(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
accuracy	0.26953125	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))

Samples

72.0ms

256×

valid

Compiler

Compiled 515 to 28 computations (94.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 10.0ms (28.1% of total)

ival-div: 9.0ms (25.3% of total)

ival-add: 6.0ms (16.9% of total)

ival-atan2: 4.0ms (11.2% of total)

ival-atan: 3.0ms (8.4% of total)

ival-pow2: 2.0ms (5.6% of total)

ival-sub: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

3.3MiB live, 41.4MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))>
#<alt (fma.f64 N N (+.f64 N #s(literal 1 binary64)))>
#<alt (+.f64 N #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))>
#<alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))>
#<alt (.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))>
#<alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))>
#<alt (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))>
#<alt (+.f64 N (+.f64 N #s(literal 1 binary64)))>
#<alt (.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))>
#<alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))>
#<alt (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))>
#<alt (atan.f64 N)>
#<alt (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))>

Outputs
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt 1>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))>
#<alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))>
#<alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))>
#<alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	N	@	0	(/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
1.0ms	N	@	0	(* (atan2 1 (+ (* N N) (+ N 1))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))))
1.0ms	N	@	-inf	(* (atan2 1 (+ (* N N) (+ N 1))) (/ 1 (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))))
1.0ms	N	@	inf	(* (atan2 1 (+ (* N N) (+ N 1))) (/ 1 (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))))
1.0ms	N	@	0	(* (atan2 1 (+ (* N N) (+ N 1))) (/ 1 (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))))

simplify247.0ms (2.5%)

Memory

31.3MiB live, 419.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 682×	`lower-fma.f64`
7 682×	`lower-fma.f32`
2 620×	`lower-*.f64`
2 620×	`lower-*.f32`
1 878×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	2408
1	155	2400
2	374	2400
3	1062	2400
4	4079	2400
5	7535	2400
0	8019	2107

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

Calls

Call 1

Inputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
1
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))

Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(+ 1 (* N (+ 1 N)))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
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(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))

rewrite560.0ms (5.7%)

Memory

-9.0MiB live, 762.1MiB allocated

Rules

4 416×	`lower-/.f32`
4 406×	`lower-/.f64`
3 900×	`lower-*.f32`
3 890×	`lower-*.f64`
3 754×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	293
0	47	185
1	189	185
2	1465	185
0	8307	178

Stop Event

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

Counts

16 → 986

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
(atan.f64 N)
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))

Outputs
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))))
(+.f64 (.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))) (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))) (.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))) (*.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (.f64 (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))))
(fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(fma.f64 (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1 binary64))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (-.f64 (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 (pow.f64 (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)))) (.f64 (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))) (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)))))
(/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (-.f64 (pow.f64 (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))))
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(.f64 (/.f64 (fma.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))) (pow.f64 (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))) (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)))))
(atan.f64 N)
(exp.f64 (*.f64 (log.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))

eval603.0ms (6.1%)

Memory: 19.5MiB live, 908.9MiB allocated
Compiler: Compiled 188 324 to 5 772 computations (96.9% saved)

prune472.0ms (4.8%)

Memory

-3.4MiB live, 760.8MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	3 206	22	3 228
Fresh	2	2	4
Picked	3	2	5
Done	0	0	0
Total	3 211	26	3 237

Accuracy

100.0%

Counts

3 237 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	80.0%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
▶	55.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64)))
	79.8%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N N) (-.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
	55.7%	(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (fma.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N N)) (.f64 (.f64 N N) (.f64 N N)))))
	55.7%	(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	95.7%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
	92.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
▶	6.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
	92.3%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
▶	99.4%	(/.f64 (*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
▶	99.6%	(/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	99.5%	(/.f64 (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
	99.2%	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))))
	99.4%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.3%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	98.5%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
▶	92.3%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.3%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))))
	99.4%	(.f64 (/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
	99.5%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	98.3%	(.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal -1 binary64)))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))

Compiler

Compiled 1 604 to 638 computations (60.2% saved)

simplify198.0ms (2%)

Memory

9.1MiB live, 328.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff	0	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))
cost-diff	15872	(/.f64 (*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff	21376	(*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))))
cost-diff	0	(+.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff	0	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
cost-diff	320	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64)))
cost-diff	640	(fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))
cost-diff	640	(fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N))))
cost-diff	1600	(fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (+.f64 N N))
cost-diff	0	(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff	320	(*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff	16256	(/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Rules

4 990×	`lower-fma.f32`
4 980×	`lower-fma.f64`
2 918×	`lower-*.f32`
2 902×	`lower-*.f64`
1 590×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	630
0	81	656
1	173	500
2	419	500
3	1186	481
4	3698	475
5	7432	475
0	8075	453

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
#s(literal 1 binary64)
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
(+.f64 N N)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64))
(fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N))))
N
(*.f64 N N)
(.f64 (.f64 N N) (.f64 (.f64 N N) (*.f64 N N)))
(.f64 (.f64 N N) (*.f64 N N))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N)))))
(fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))
(.f64 N (-.f64 N (.f64 N N)))
(-.f64 N (*.f64 N N))
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
N
(+.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(approx (+ N (+ N 1)) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))))
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
#s(literal 1 binary64)
(+.f64 N N)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))

Outputs
(/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 N N)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64))
(fma.f64 (/.f64 N (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N))))
(.f64 (.f64 N N) (fma.f64 N (.f64 N (.f64 N N)) N))
N
(*.f64 N N)
(.f64 (.f64 N N) (.f64 (.f64 N N) (*.f64 N N)))
(.f64 (.f64 N (.f64 N N)) (.f64 N (*.f64 N N)))
(.f64 (.f64 N N) (*.f64 N N))
(.f64 N (.f64 N (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (.f64 N (fma.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))
(.f64 N (fma.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64)) N))
(.f64 N (-.f64 N (.f64 N N)))
(-.f64 N (*.f64 N N))
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (*.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
N
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(approx (+ N (+ N 1)) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))))
(*.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))
(/.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 N N)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)

localize164.0ms (1.7%)

Memory

4.6MiB live, 386.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy	0.24609375	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))
accuracy	0.2890625	(/.f64 (*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy	0.38900375976844204	(*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))))
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy	0.35775375976844204	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
accuracy	0.4453125	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy	58.83854913659188	#s(approx (+ N (+ N 1)) #s(literal 1 binary64))
accuracy	0.34603500976844204	(fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))
accuracy	0.34603500976844204	(.f64 (.f64 N N) (*.f64 N N))
accuracy	0.641498519490777	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N)))))
accuracy	27.642694971068142	(fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64))
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
accuracy	59.81018748651008	#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy	0.33203125	(/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy	0.35546875	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))

Samples

94.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 669 to 40 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 19.0ms (29.1% of total)

ival-add: 13.0ms (19.9% of total)

ival-div: 12.0ms (18.4% of total)

ival-atan2: 10.0ms (15.3% of total)

ival-pow: 8.0ms (12.2% of total)

ival-sub: 2.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

0.2MiB live, 37.3MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))>
#<alt (*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))>
#<alt (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 N N))>
#<alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))>
#<alt #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))>
#<alt (fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64))>
#<alt (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N))))>
#<alt (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64)))>
#<alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))>
#<alt (.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))>
#<alt (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))>
#<alt (+.f64 N (+.f64 N #s(literal 1 binary64)))>
#<alt (*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))))>
#<alt (/.f64 (*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))>
#<alt (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))>
#<alt (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))>
#<alt (-.f64 #s(literal 1 binary64) (fma.f64 N N N))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N)))))>
#<alt (.f64 (.f64 N N) (*.f64 N N))>
#<alt #s(approx (+ N (+ N 1)) #s(literal 1 binary64))>
#<alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))>

Outputs
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt 1>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 3)>
#<alt (* (pow N 3) (+ 1 (pow N 3)))>
#<alt (* (pow N 3) (+ 1 (pow N 3)))>
#<alt (* (pow N 3) (+ 1 (pow N 3)))>
#<alt (pow N 6)>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (pow N 6)>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- N 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- N 1))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 N)))>
#<alt (* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))>
#<alt (* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 N)))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt 1>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt 1>
#<alt (+ 1 (* -1 N))>
#<alt (+ 1 (* N (- (* -1 N) 1)))>
#<alt (+ 1 (* N (- (* -1 N) 1)))>
#<alt (* -1 (pow N 2))>
#<alt (* -1 (* (pow N 2) (+ 1 (/ 1 N))))>
#<alt (* (pow N 2) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))>
#<alt (* (pow N 2) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))>
#<alt (* -1 (pow N 2))>
#<alt (* -1 (* (pow N 2) (+ 1 (/ 1 N))))>
#<alt (* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))>
#<alt (* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (+ 1 N) (pow N 2))>
#<alt (/ (+ 1 (* N (+ 1 (* -1 (pow N 2))))) (pow N 2))>
#<alt (/ (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1))))) (pow N 2))>
#<alt (/ 1 (pow N 4))>
#<alt (/ (+ 1 (/ 1 N)) (pow N 4))>
#<alt (/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) (pow N 4))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) (pow N 4))>
#<alt (/ 1 (pow N 4))>
#<alt (/ (+ 1 (/ 1 N)) (pow N 4))>
#<alt (/ (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) (pow N 4))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) 1) N))) (pow N 4))>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt 1>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	N	@	inf	(* (* N N) (* N N))
1.0ms	N	@	inf	(+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)
1.0ms	N	@	-inf	(/ (atan2 (+ 1 (+ N N)) (- 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N))))
1.0ms	N	@	inf	(/ (atan2 (+ 1 (+ N N)) (- 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N))))
0.0ms	N	@	-inf	(/ (atan2 (+ 1 (+ N N)) (- 1 (+ (* N N) N))) (pow (atan2 1 (+ 1 (+ (* N N) N))) -1/2))

simplify301.0ms (3.1%)

Memory

25.5MiB live, 621.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 928×	`lower-fma.f64`
10 928×	`lower-fma.f32`
3 576×	`lower-*.f64`
3 576×	`lower-*.f32`
1 992×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	3398
1	442	3339
2	1422	3331
3	5651	3326
0	8383	2958

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
1
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 3)
(* (pow N 3) (+ 1 (pow N 3)))
(* (pow N 3) (+ 1 (pow N 3)))
(* (pow N 3) (+ 1 (pow N 3)))
(pow N 6)
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(pow N 6)
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- N 1))))
(* (pow N 2) (+ 1 (* N (- N 1))))
(pow N 4)
(* (pow N 4) (- 1 (/ 1 N)))
(* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(pow N 4)
(* (pow N 4) (- 1 (/ 1 N)))
(* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
1
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (sqrt (atan2 1 (+ 1 (+ N (pow N 2))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
1
(+ 1 (* -1 N))
(+ 1 (* N (- (* -1 N) 1)))
(+ 1 (* N (- (* -1 N) 1)))
(* -1 (pow N 2))
(* -1 (* (pow N 2) (+ 1 (/ 1 N))))
(* (pow N 2) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))
(* (pow N 2) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))
(* -1 (pow N 2))
(* -1 (* (pow N 2) (+ 1 (/ 1 N))))
(* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))
(* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))
(/ 1 (pow N 2))
(/ (+ 1 N) (pow N 2))
(/ (+ 1 (* N (+ 1 (* -1 (pow N 2))))) (pow N 2))
(/ (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1))))) (pow N 2))
(/ 1 (pow N 4))
(/ (+ 1 (/ 1 N)) (pow N 4))
(/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) (pow N 4))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) (pow N 4))
(/ 1 (pow N 4))
(/ (+ 1 (/ 1 N)) (pow N 4))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) (pow N 4))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) 1) N))) (pow N 4))
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
1
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))

Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
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(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* -1 (pow N 2))
(*.f64 N (neg.f64 N))
(* -1 (* (pow N 2) (+ 1 (/ 1 N))))
(*.f64 N (-.f64 #s(literal -1 binary64) N))
(* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (+ 1 N) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))
(/ (+ 1 (* N (+ 1 (* -1 (pow N 2))))) (pow N 2))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) N)
(/ (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1))))) (pow N 2))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (fma.f64 N N N))
(/ 1 (pow N 4))
(/.f64 #s(literal 1 binary64) (.f64 N (.f64 N (*.f64 N N))))
(/ (+ 1 (/ 1 N)) (pow N 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (.f64 N (.f64 N (*.f64 N N))))
(/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) (pow N 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 N N))) N)) (.f64 N (.f64 N (.f64 N N))))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) (pow N 4))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 N (.f64 N N))))) (.f64 N (.f64 N (.f64 N N))))
(/ 1 (pow N 4))
(/.f64 #s(literal 1 binary64) (.f64 N (.f64 N (*.f64 N N))))
(/ (+ 1 (/ 1 N)) (pow N 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (.f64 N (.f64 N (*.f64 N N))))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) (pow N 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 N N))) N)) (.f64 N (.f64 N (.f64 N N))))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) 1) N))) (pow N 4))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 N (.f64 N N))))) (.f64 N (.f64 N (.f64 N N))))
(pow N 4)
(.f64 N (.f64 N (*.f64 N N)))
(pow N 4)
(.f64 N (.f64 N (*.f64 N N)))
(pow N 4)
(.f64 N (.f64 N (*.f64 N N)))
(pow N 4)
(.f64 N (.f64 N (*.f64 N N)))
(pow N 4)
(.f64 N (.f64 N (*.f64 N N)))
(pow N 4)
(.f64 N (.f64 N (*.f64 N N)))
(pow N 4)
(.f64 N (.f64 N (*.f64 N N)))
(pow N 4)
(.f64 N (.f64 N (*.f64 N N)))
(pow N 4)
(.f64 N (.f64 N (*.f64 N N)))
(pow N 4)
(.f64 N (.f64 N (*.f64 N N)))
(pow N 4)
(.f64 N (.f64 N (*.f64 N N)))
(pow N 4)
(.f64 N (.f64 N (*.f64 N N)))
1
#s(literal 1 binary64)
(+ 1 (* 2 N))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* 2 N))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* 2 N))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(* 2 N)
(*.f64 N #s(literal 2 binary64))
(* N (+ 2 (/ 1 N)))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(* N (+ 2 (/ 1 N)))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(* N (+ 2 (/ 1 N)))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(* 2 N)
(*.f64 N #s(literal 2 binary64))
(* N (+ 2 (/ 1 N)))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(* N (+ 2 (/ 1 N)))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(* N (+ 2 (/ 1 N)))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))

rewrite534.0ms (5.4%)

Memory

-28.0MiB live, 605.5MiB allocated

Rules

7 128×	`lower-fma.f32`
7 118×	`lower-fma.f64`
3 788×	`lower-/.f32`
3 774×	`lower-/.f64`
2 860×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	446
0	81	432
1	346	280
2	2677	232
0	9242	230

Stop Event

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

Counts

24 → 981

Calls

Call 1

Inputs
(/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
(fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64))
(fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N))))
(fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64)))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N)))))
(.f64 (.f64 N N) (*.f64 N N))
#s(approx (+ N (+ N 1)) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))

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

eval448.0ms (4.6%)

Memory: -16.0MiB live, 408.2MiB allocated
Compiler: Compiled 87 169 to 3 940 computations (95.5% saved)

prune257.0ms (2.6%)

Memory

5.1MiB live, 364.3MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 831	14	1 845
Fresh	16	3	19
Picked	4	1	5
Done	0	2	2
Total	1 851	20	1 871

Accuracy

100.0%

Counts

1 871 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -2 binary64))
	80.0%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
	99.1%	(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64))
	55.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 N (fma.f64 N (.f64 N N) (-.f64 N (.f64 N N))))) (.f64 (.f64 N N) (fma.f64 N (.f64 N (*.f64 N N)) N)) #s(literal 1 binary64)))
▶	79.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
	79.8%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 N (.f64 N (.f64 N N)))) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	79.8%	(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)))))
	55.7%	(atan2.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64)))))
	95.7%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (fma.f64 N N N)))
▶	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))
	92.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (*.f64 N N)))
✓	6.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
	92.2%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	92.3%	(/.f64 (.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
✓	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
	99.4%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
▶	99.3%	(*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
▶	79.5%	#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))))

Compiler

Compiled 813 to 345 computations (57.6% saved)

simplify345.0ms (3.5%)

Memory

15.7MiB live, 305.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff	0	(neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff	15360	(*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
cost-diff	0	#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))))
cost-diff	768	(-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))))
cost-diff	1280	(/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))
cost-diff	1280	(fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))
cost-diff	0	(.f64 N (-.f64 (.f64 N (*.f64 N N)) N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64)))
cost-diff	128	(-.f64 (.f64 N (.f64 N N)) N)
cost-diff	960	(fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	#s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))
cost-diff	0	(fma.f64 N N #s(literal 1 binary64))
cost-diff	0	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Rules

6 316×	`lower-fma.f32`
6 306×	`lower-fma.f64`
2 704×	`lower--.f32`
2 696×	`lower--.f64`
2 660×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	537
0	80	448
1	176	416
2	480	380
3	1735	337
4	5364	337
0	8072	337

Stop Event

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

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N N #s(literal 1 binary64))
N
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))
#s(literal 1 binary64)
#s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
N
(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64))
(.f64 N (-.f64 (.f64 N (*.f64 N N)) N))
N
(-.f64 (.f64 N (.f64 N N)) N)
(.f64 N (.f64 N N))
(*.f64 N N)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))
(-.f64 (*.f64 N N) N)
#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))
(.f64 N (.f64 N N))
N
(*.f64 N N)
(-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))))
(/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))
(.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))
(fma.f64 N (-.f64 (*.f64 N N) N) N)
(-.f64 (*.f64 N N) N)
(/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))
#s(literal -1 binary64)
(*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
N
(/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
#s(literal -1 binary64)
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N #s(literal 1 binary64))
N
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))
#s(literal 1 binary64)
#s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
N
(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64))
(fma.f64 N (/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 N (-.f64 (.f64 N (*.f64 N N)) N))
(.f64 N (.f64 N (fma.f64 N N #s(literal -1 binary64))))
N
(-.f64 (.f64 N (.f64 N N)) N)
(*.f64 N (fma.f64 N N #s(literal -1 binary64)))
(.f64 N (.f64 N N))
(*.f64 N N)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))
(-.f64 (*.f64 N N) N)
#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))))
#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))
(fma.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 N (.f64 N N))
N
(*.f64 N N)
(-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))))
(/.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (.f64 N (fma.f64 N (-.f64 (*.f64 N N) N) N)))
(/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))
(/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))
(fma.f64 N (-.f64 (*.f64 N N) N) N)
(-.f64 (*.f64 N N) N)
(/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))
(/.f64 #s(literal 1 binary64) (.f64 N (.f64 N (fma.f64 N (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
#s(literal -1 binary64)
(*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
N
(/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
#s(literal -1 binary64)
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))

localize207.0ms (2.1%)

Memory

-5.2MiB live, 227.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy	0.2890625	(/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy	0.34603500976844204	(*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
accuracy	0.35546875	(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64)))
accuracy	0.34765625	(fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))
accuracy	0.641498519490777	(/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))
accuracy	13.036614209847162	(/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))
accuracy	0.2109375	(.f64 N (.f64 N N))
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64)))
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))
accuracy	12.847235498052962	(fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64))
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))
accuracy	58.80947460388906	#s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N))
accuracy	0	(fma.f64 N N #s(literal 1 binary64))
accuracy	0.09375	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
accuracy	0.24609375	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Samples

92.0ms

256×

valid

Compiler

Compiled 522 to 46 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-atan2: 24.0ms (32.7% of total)

ival-mult: 17.0ms (23.1% of total)

ival-add: 16.0ms (21.8% of total)

ival-div: 9.0ms (12.3% of total)

ival-sub: 5.0ms (6.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory

1.8MiB live, 37.7MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))>
#<alt (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)>
#<alt (fma.f64 N N #s(literal 1 binary64))>
#<alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))>
#<alt #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N))>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 N (.f64 N N)) N)>
#<alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64)))>
#<alt (.f64 N (-.f64 (.f64 N (*.f64 N N)) N))>
#<alt (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))>
#<alt (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))>
#<alt (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))))>
#<alt #s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))))>
#<alt (*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))>
#<alt (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))>
#<alt (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))>
#<alt (.f64 N (.f64 N N))>
#<alt (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64)))>
#<alt (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))>

Outputs
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt 1>
#<alt (+ 1 (pow N 2))>
#<alt (+ 1 (pow N 2))>
#<alt (+ 1 (pow N 2))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* -1 N)>
#<alt (* N (- (pow N 2) 1))>
#<alt (* N (- (pow N 2) 1))>
#<alt (* N (- (pow N 2) 1))>
#<alt (pow N 3)>
#<alt (* (pow N 3) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 3) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 3) (- 1 (/ 1 (pow N 2))))>
#<alt (pow N 3)>
#<alt (* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 3) N)) (- (pow N 2) N))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 3) N)) (- (pow N 2) N))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 3) N)) (- (pow N 2) N))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 3) N)) (- (pow N 2) N))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (* -1 N) (* -1 (pow N 3)))) (+ (* -1 N) (pow N 2)))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (* -1 N) (* -1 (pow N 3)))) (+ (* -1 N) (pow N 2)))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (* -1 N) (* -1 (pow N 3)))) (+ (* -1 N) (pow N 2)))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (* -1 N) (* -1 (pow N 3)))) (+ (* -1 N) (pow N 2)))))>
#<alt (* -1 (pow N 2))>
#<alt (* (pow N 2) (- (pow N 2) 1))>
#<alt (* (pow N 2) (- (pow N 2) 1))>
#<alt (* (pow N 2) (- (pow N 2) 1))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt N>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 (* N (+ 1 (* -1 (pow N 2))))))>
#<alt (* N (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1))))))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (/ 1 N)) N)>
#<alt (/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) N)>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) N)>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (/ 1 N)) N)>
#<alt (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))) N)) 1) N))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (+ 1 N) (pow N 2))>
#<alt (/ (+ 1 N) (pow N 2))>
#<alt (/ (+ 1 N) (pow N 2))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (/ 1 N)) N)>
#<alt (/ (+ 1 (/ 1 N)) N)>
#<alt (/ (+ 1 (/ 1 N)) N)>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (/ 1 N)) N)>
#<alt (/ (+ 1 (/ 1 N)) N)>
#<alt (/ (+ 1 (/ 1 N)) N)>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))>
#<alt (* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))>
#<alt (* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))>
#<alt (* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))>
#<alt (* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))>
#<alt (* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))>
#<alt (* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))>
#<alt (* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))>
#<alt (* -1 (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))))>
#<alt (* -1 (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))))>
#<alt (* -1 (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))))>
#<alt (* -1 (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))))>
#<alt (* -1 (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (* -1 (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (* -1 (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (* -1 (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (* -1 (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (* -1 (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (* -1 (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (* -1 (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (* -1 (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* -1 (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* -1 (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* -1 (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (atan2 1 (- 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (/ -1 N)>
#<alt (/ (- (* -1 N) 1) N)>
#<alt (/ (- (* N (- (* -1 N) 1)) 1) N)>
#<alt (/ (- (* N (- (* N (- (* -1 N) 1)) 1)) 1) N)>
#<alt (/ 1 (pow N 2))>
#<alt (/ (+ 1 (/ 1 N)) (pow N 2))>
#<alt (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) (pow N 2))>
#<alt (/ (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))) (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (+ 1 (/ 1 N)) (pow N 2))>
#<alt (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N))) (pow N 2))>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (/ -1 (pow N 2))>
#<alt (/ (- (* -1 N) 1) (pow N 2))>
#<alt (/ (- (* N (- (pow N 2) 1)) 1) (pow N 2))>
#<alt (/ (- (* N (- (* (pow N 2) (+ 1 N)) 1)) 1) (pow N 2))>
#<alt (/ -1 (pow N 4))>
#<alt (* -1 (/ (+ 1 (/ 1 N)) (pow N 4)))>
#<alt (/ (- (/ 1 (pow N 3)) (+ 1 (/ 1 N))) (pow N 4))>
#<alt (/ (- (+ (/ 1 (pow N 3)) (/ 1 (pow N 4))) (+ 1 (/ 1 N))) (pow N 4))>
#<alt (/ -1 (pow N 4))>
#<alt (* -1 (/ (+ 1 (/ 1 N)) (pow N 4)))>
#<alt (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 1) (pow N 4))>
#<alt (/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))) N)) 1) (pow N 4))>
#<alt (atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (+ N (* N (- (pow N 2) N))))) (/ (pow N 2) (+ N (* N (- (pow N 2) N))))))))>
#<alt (atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (+ N (* N (- (pow N 2) N))))) (/ (pow N 2) (+ N (* N (- (pow N 2) N))))))))>
#<alt (atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (+ N (* N (- (pow N 2) N))))) (/ (pow N 2) (+ N (* N (- (pow N 2) N))))))))>
#<alt (atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (+ N (* N (- (pow N 2) N))))) (/ (pow N 2) (+ N (* N (- (pow N 2) N))))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 2) (- (+ N (pow N 3)) (pow N 2))) (/ (pow N 5) (- (+ N (pow N 3)) (pow N 2))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 2) (- (+ N (pow N 3)) (pow N 2))) (/ (pow N 5) (- (+ N (pow N 3)) (pow N 2))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 2) (- (+ N (pow N 3)) (pow N 2))) (/ (pow N 5) (- (+ N (pow N 3)) (pow N 2))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 2) (- (+ N (pow N 3)) (pow N 2))) (/ (pow N 5) (- (+ N (pow N 3)) (pow N 2))))))>
#<alt (atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))) (/ (pow N 2) (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))))))>
#<alt (atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))) (/ (pow N 2) (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))))))>
#<alt (atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))) (/ (pow N 2) (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))))))>
#<alt (atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))) (/ (pow N 2) (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))))))>
#<alt (/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>

Calls

72 calls:

Time	Variable		Point	Expression
16.0ms	N	@	0	(/ -1 (/ (atan2 1 (- 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N)))))
4.0ms	N	@	-inf	(* N (- (* N (* N N)) N))
1.0ms	N	@	-inf	(/ -1 (/ (atan2 1 (- 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N)))))
1.0ms	N	@	inf	(/ -1 (/ (atan2 1 (- 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N)))))
1.0ms	N	@	-inf	(/ (atan2 1 (- 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N))))

simplify387.0ms (3.9%)

Memory

-4.7MiB live, 670.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 388×	`lower-fma.f64`
12 388×	`lower-fma.f32`
2 932×	`lower-*.f64`
2 932×	`lower-*.f32`
2 278×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	3528
1	630	3441
2	2162	3098
3	7822	3098
0	8459	2869

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 285

Calls

Call 1

Inputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
1
(+ 1 (pow N 2))
(+ 1 (pow N 2))
(+ 1 (pow N 2))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* -1 N)
(* N (- (pow N 2) 1))
(* N (- (pow N 2) 1))
(* N (- (pow N 2) 1))
(pow N 3)
(* (pow N 3) (- 1 (/ 1 (pow N 2))))
(* (pow N 3) (- 1 (/ 1 (pow N 2))))
(* (pow N 3) (- 1 (/ 1 (pow N 2))))
(pow N 3)
(* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))
(* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))
(* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))
(atan2 1 (+ 1 (/ (* N (- (pow N 3) N)) (- (pow N 2) N))))
(atan2 1 (+ 1 (/ (* N (- (pow N 3) N)) (- (pow N 2) N))))
(atan2 1 (+ 1 (/ (* N (- (pow N 3) N)) (- (pow N 2) N))))
(atan2 1 (+ 1 (/ (* N (- (pow N 3) N)) (- (pow N 2) N))))
(atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))
(atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))
(atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))
(atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))
(atan2 1 (+ 1 (/ (* N (- (* -1 N) (* -1 (pow N 3)))) (+ (* -1 N) (pow N 2)))))
(atan2 1 (+ 1 (/ (* N (- (* -1 N) (* -1 (pow N 3)))) (+ (* -1 N) (pow N 2)))))
(atan2 1 (+ 1 (/ (* N (- (* -1 N) (* -1 (pow N 3)))) (+ (* -1 N) (pow N 2)))))
(atan2 1 (+ 1 (/ (* N (- (* -1 N) (* -1 (pow N 3)))) (+ (* -1 N) (pow N 2)))))
(* -1 (pow N 2))
(* (pow N 2) (- (pow N 2) 1))
(* (pow N 2) (- (pow N 2) 1))
(* (pow N 2) (- (pow N 2) 1))
(pow N 4)
(* (pow N 4) (- 1 (/ 1 (pow N 2))))
(* (pow N 4) (- 1 (/ 1 (pow N 2))))
(* (pow N 4) (- 1 (/ 1 (pow N 2))))
(pow N 4)
(* (pow N 4) (- 1 (/ 1 (pow N 2))))
(* (pow N 4) (- 1 (/ 1 (pow N 2))))
(* (pow N 4) (- 1 (/ 1 (pow N 2))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 N))
(* N (+ 1 (* N (+ 1 (* -1 (pow N 2))))))
(* N (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1))))))
(/ 1 N)
(/ (+ 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) N)
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) N)
(/ 1 N)
(/ (+ 1 (/ 1 N)) N)
(* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 1) N))
(* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))) N)) 1) N))
(/ 1 (pow N 2))
(/ (+ 1 N) (pow N 2))
(/ (+ 1 N) (pow N 2))
(/ (+ 1 N) (pow N 2))
(/ 1 N)
(/ (+ 1 (/ 1 N)) N)
(/ (+ 1 (/ 1 N)) N)
(/ (+ 1 (/ 1 N)) N)
(/ 1 N)
(/ (+ 1 (/ 1 N)) N)
(/ (+ 1 (/ 1 N)) N)
(/ (+ 1 (/ 1 N)) N)
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))
(* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))
(* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))
(* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))
(* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))
(* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))
(* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))
(* -1 (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2))))))
(* -1 (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))))
(* -1 (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))))
(* -1 (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))))
(* -1 (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))))
(* -1 (atan2 1 (- 1 (+ N (pow N 2)))))
(* -1 (atan2 1 (- 1 (+ N (pow N 2)))))
(* -1 (atan2 1 (- 1 (+ N (pow N 2)))))
(* -1 (atan2 1 (- 1 (+ N (pow N 2)))))
(* -1 (atan2 1 (- 1 (+ N (pow N 2)))))
(* -1 (atan2 1 (- 1 (+ N (pow N 2)))))
(* -1 (atan2 1 (- 1 (+ N (pow N 2)))))
(* -1 (atan2 1 (- 1 (+ N (pow N 2)))))
(* -1 (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(* -1 (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(* -1 (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(* -1 (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))
(/ -1 N)
(/ (- (* -1 N) 1) N)
(/ (- (* N (- (* -1 N) 1)) 1) N)
(/ (- (* N (- (* N (- (* -1 N) 1)) 1)) 1) N)
(/ 1 (pow N 2))
(/ (+ 1 (/ 1 N)) (pow N 2))
(/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) (pow N 2))
(/ (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))) (pow N 2))
(/ 1 (pow N 2))
(/ (+ 1 (/ 1 N)) (pow N 2))
(/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N))) (pow N 2))
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(/ -1 (pow N 2))
(/ (- (* -1 N) 1) (pow N 2))
(/ (- (* N (- (pow N 2) 1)) 1) (pow N 2))
(/ (- (* N (- (* (pow N 2) (+ 1 N)) 1)) 1) (pow N 2))
(/ -1 (pow N 4))
(* -1 (/ (+ 1 (/ 1 N)) (pow N 4)))
(/ (- (/ 1 (pow N 3)) (+ 1 (/ 1 N))) (pow N 4))
(/ (- (+ (/ 1 (pow N 3)) (/ 1 (pow N 4))) (+ 1 (/ 1 N))) (pow N 4))
(/ -1 (pow N 4))
(* -1 (/ (+ 1 (/ 1 N)) (pow N 4)))
(/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 1) (pow N 4))
(/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))) N)) 1) (pow N 4))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (+ N (* N (- (pow N 2) N))))) (/ (pow N 2) (+ N (* N (- (pow N 2) N))))))))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (+ N (* N (- (pow N 2) N))))) (/ (pow N 2) (+ N (* N (- (pow N 2) N))))))))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (+ N (* N (- (pow N 2) N))))) (/ (pow N 2) (+ N (* N (- (pow N 2) N))))))))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (+ N (* N (- (pow N 2) N))))) (/ (pow N 2) (+ N (* N (- (pow N 2) N))))))))
(atan2 1 (+ 1 (+ (/ (pow N 2) (- (+ N (pow N 3)) (pow N 2))) (/ (pow N 5) (- (+ N (pow N 3)) (pow N 2))))))
(atan2 1 (+ 1 (+ (/ (pow N 2) (- (+ N (pow N 3)) (pow N 2))) (/ (pow N 5) (- (+ N (pow N 3)) (pow N 2))))))
(atan2 1 (+ 1 (+ (/ (pow N 2) (- (+ N (pow N 3)) (pow N 2))) (/ (pow N 5) (- (+ N (pow N 3)) (pow N 2))))))
(atan2 1 (+ 1 (+ (/ (pow N 2) (- (+ N (pow N 3)) (pow N 2))) (/ (pow N 5) (- (+ N (pow N 3)) (pow N 2))))))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))) (/ (pow N 2) (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))))))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))) (/ (pow N 2) (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))))))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))) (/ (pow N 2) (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))))))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))) (/ (pow N 2) (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/ (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/ (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/ (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))

Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
1
#s(literal 1 binary64)
(+ 1 (pow N 2))
(fma.f64 N N #s(literal 1 binary64))
(+ 1 (pow N 2))
(fma.f64 N N #s(literal 1 binary64))
(+ 1 (pow N 2))
(fma.f64 N N #s(literal 1 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* N (- N (pow N 2))) (pow N 4))) (/ (pow N 6) (+ (* N (- N (pow N 2))) (pow N 4))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
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(neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (atan2 1 (- 1 (+ N (pow N 2)))))
(neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (atan2 1 (- 1 (+ N (pow N 2)))))
(neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (atan2 1 (- 1 (+ N (pow N 2)))))
(neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (* -1 N)) (pow N 2)))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (* -1 N) 1) N)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N))
(/ (- (* N (- (* -1 N) 1)) 1) N)
(+.f64 (-.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))
(/ (- (* N (- (* N (- (* -1 N) 1)) 1)) 1) N)
(+.f64 (-.f64 #s(literal -1 binary64) (fma.f64 N N N)) (/.f64 #s(literal -1 binary64) N))
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (+ 1 (/ 1 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N (.f64 N N)))
(/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N N))) (.f64 N N))
(/ (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N N))) N)) (.f64 N N))
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (+ 1 (/ 1 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N (.f64 N N)))
(/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N N))) (.f64 N N))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N))) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N N))) N)) (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(/ -1 (pow N 2))
(/.f64 #s(literal -1 binary64) (*.f64 N N))
(/ (- (* -1 N) 1) (pow N 2))
(/.f64 (-.f64 #s(literal -1 binary64) N) (*.f64 N N))
(/ (- (* N (- (pow N 2) 1)) 1) (pow N 2))
(/.f64 (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N))
(/ (- (* N (- (* (pow N 2) (+ 1 N)) 1)) 1) (pow N 2))
(/.f64 (fma.f64 N (fma.f64 N (fma.f64 N N N) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N))
(/ -1 (pow N 4))
(/.f64 #s(literal -1 binary64) (.f64 N (.f64 N (*.f64 N N))))
(* -1 (/ (+ 1 (/ 1 N)) (pow N 4)))
(/.f64 (-.f64 #s(literal -1 binary64) N) (.f64 N (.f64 N (.f64 N (.f64 N N)))))
(/ (- (/ 1 (pow N 3)) (+ 1 (/ 1 N))) (pow N 4))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) N)) (.f64 N (.f64 N (.f64 N N))))
(/ (- (+ (/ 1 (pow N 3)) (/ 1 (pow N 4))) (+ 1 (/ 1 N))) (pow N 4))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) (.f64 N (.f64 N N)))) N)) (.f64 N (.f64 N (*.f64 N N))))
(/ -1 (pow N 4))
(/.f64 #s(literal -1 binary64) (.f64 N (.f64 N (*.f64 N N))))
(* -1 (/ (+ 1 (/ 1 N)) (pow N 4)))
(/.f64 (-.f64 #s(literal -1 binary64) N) (.f64 N (.f64 N (.f64 N (.f64 N N)))))
(/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 1) (pow N 4))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) N)) (.f64 N (.f64 N (.f64 N N))))
(/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))) N)) 1) (pow N 4))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) (.f64 N (.f64 N N)))) N)) (.f64 N (.f64 N (*.f64 N N))))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (+ N (* N (- (pow N 2) N))))) (/ (pow N 2) (+ N (* N (- (pow N 2) N))))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (+ N (* N (- (pow N 2) N))))) (/ (pow N 2) (+ N (* N (- (pow N 2) N))))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (+ N (* N (- (pow N 2) N))))) (/ (pow N 2) (+ N (* N (- (pow N 2) N))))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (+ N (* N (- (pow N 2) N))))) (/ (pow N 2) (+ N (* N (- (pow N 2) N))))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ (pow N 2) (- (+ N (pow N 3)) (pow N 2))) (/ (pow N 5) (- (+ N (pow N 3)) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ (pow N 2) (- (+ N (pow N 3)) (pow N 2))) (/ (pow N 5) (- (+ N (pow N 3)) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ (pow N 2) (- (+ N (pow N 3)) (pow N 2))) (/ (pow N 5) (- (+ N (pow N 3)) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ (pow N 2) (- (+ N (pow N 3)) (pow N 2))) (/ (pow N 5) (- (+ N (pow N 3)) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))) (/ (pow N 2) (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))) (/ (pow N 2) (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))) (/ (pow N 2) (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 (* N (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))) (/ (pow N 2) (- (* N (+ (* -1 N) (pow N 2))) (* -1 N)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))

rewrite454.0ms (4.6%)

Memory

-2.4MiB live, 527.1MiB allocated

Rules

5 142×	`lower-fma.f32`
5 132×	`lower-fma.f64`
4 710×	`lower-/.f32`
4 700×	`lower-/.f64`
3 088×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	470
0	80	344
1	370	280
2	3584	280
0	8894	280

Stop Event

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

Counts

24 → 750

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))
#s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
(fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64))
(-.f64 (.f64 N (.f64 N N)) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64)))
(.f64 N (-.f64 (.f64 N (*.f64 N N)) N))
(fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))
(/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))
(-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))))
#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))))
(*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))
(.f64 N (.f64 N N))
(/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 N N N))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 (neg.f64 N)))
(+.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
(+.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N))) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))) (/.f64 (.f64 N (.f64 N N)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))))
(+.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N))) (-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 N N N))))
(-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N N)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 N) (/.f64 (-.f64 (.f64 N (.f64 N N)) N) (-.f64 (.f64 N N) N))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) (.f64 N (-.f64 (.f64 N (*.f64 N N)) N))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (.f64 N N) (fma.f64 N (.f64 N (.f64 N N)) N))) (/.f64 #s(literal 1 binary64) (.f64 N (fma.f64 N (.f64 N N) (-.f64 N (.f64 N N)))))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 N (fma.f64 N (.f64 N N) (-.f64 N (.f64 N N)))))) (.f64 (.f64 N N) (fma.f64 N (.f64 N (.f64 N N)) N))))
(-.f64 N (neg.f64 (fma.f64 N N #s(literal 1 binary64))))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))
(-.f64 (*.f64 N N) (neg.f64 (+.f64 #s(literal 1 binary64) N)))
(-.f64 (*.f64 N N) (-.f64 #s(literal -1 binary64) N))
(-.f64 (*.f64 N N) (-.f64 (neg.f64 N) #s(literal 1 binary64)))
(-.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) (neg.f64 N)))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(-.f64 (/.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (.f64 N N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 (.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N)))) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N))) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))) (/.f64 (neg.f64 (.f64 N (.f64 N N))) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N))) (-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 N N N))) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 N N N))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 N N N))) (/.f64 (neg.f64 (.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N)))) (-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 N N N))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal -1 binary64))))) (/.f64 (neg.f64 (.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N)))) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N))) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 N N (-.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (fma.f64 N (.f64 N N) N)))) (/.f64 (neg.f64 (.f64 N (.f64 N N))) (fma.f64 N N (-.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (fma.f64 N (.f64 N N) N)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N N)))))) (/.f64 (neg.f64 (.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N)))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N N)))))))
(-.f64 (/.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N (.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))) (/.f64 (neg.f64 (.f64 N (.f64 N N))) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N (.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))))
(-.f64 (/.f64 (.f64 N N) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (/.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) N))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) N))))
(fma.f64 #s(literal 1 binary64) N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 N #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 N (/.f64 (-.f64 (.f64 N (.f64 N N)) N) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64))
(fma.f64 N (/.f64 (*.f64 N N) N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 N (.f64 (/.f64 (-.f64 (.f64 N (.f64 N N)) N) (-.f64 (.f64 N N) N)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (pow.f64 (/.f64 (*.f64 N N) N) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (.f64 (.f64 N N) (fma.f64 N (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (.f64 N (fma.f64 N (.f64 N N) (-.f64 N (*.f64 N N))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 N (fma.f64 N (.f64 N N) (-.f64 N (.f64 N N))))) (.f64 (.f64 N N) (fma.f64 N (.f64 N (*.f64 N N)) N)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (.f64 N (.f64 N N)) (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (-.f64 (.f64 N (.f64 N N)) N) (.f64 N (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 N (.f64 N N)) N) (/.f64 N (-.f64 (*.f64 N N) N)) #s(literal 1 binary64))
(fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) #s(literal 1 binary64))
(fma.f64 (fma.f64 N N N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (.f64 N N))
(fma.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N (.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N)
(fma.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N (.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 N)))
(fma.f64 (neg.f64 N) (neg.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 N N))
(fma.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N)
(fma.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (neg.f64 N)))
(fma.f64 (/.f64 (-.f64 (.f64 N (.f64 N N)) N) (-.f64 (*.f64 N N) N)) N #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) N) (-.f64 (.f64 N (.f64 N N)) N) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (.f64 (.f64 N N) (-.f64 (.f64 N (.f64 N (.f64 N N))) N))) (fma.f64 N (.f64 N (fma.f64 N N N)) (.f64 N N)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (.f64 N (-.f64 (.f64 N (.f64 N N)) N))) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 N N) (fma.f64 N (.f64 N (.f64 N N)) N)) (fma.f64 N (.f64 (.f64 N (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) (.f64 (.f64 N (-.f64 N (.f64 N N))) (.f64 N (.f64 (-.f64 N (.f64 N N)) (.f64 N (-.f64 N (.f64 N N)))))))) (fma.f64 (.f64 N (-.f64 N (.f64 N N))) (-.f64 (.f64 N (-.f64 N (.f64 N N))) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 N N) (fma.f64 N (.f64 N (.f64 N N)) N)) (.f64 (.f64 N (fma.f64 N (.f64 N N) (-.f64 N (.f64 N N)))) (.f64 N (-.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N)))))) (.f64 N (-.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 N (.f64 N N)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (+.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 N (.f64 N N) (.f64 (fma.f64 N N #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 N N N)) (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 N (.f64 N N) (.f64 (fma.f64 N N #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 N N N)) (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 N N N)))
(/.f64 (fma.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal -1 binary64)))))
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(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N (fma.f64 N (-.f64 (*.f64 N N) N) N))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N (fma.f64 N (-.f64 (*.f64 N N) N) N))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 (.f64 N N) N) N)))
(.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (.f64 (fma.f64 N (-.f64 (*.f64 N N) N) N) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (neg.f64 (fma.f64 N (-.f64 (.f64 N N) N) N)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 (fma.f64 N (-.f64 (.f64 N N) N) N) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 (.f64 N N) N) N)) (/.f64 #s(literal -1 binary64) N))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 (.f64 N N) N) N)) (pow.f64 (*.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) (fma.f64 N (.f64 N N) (.f64 (.f64 N (-.f64 (.f64 N N) N)) (.f64 (-.f64 (.f64 N N) N) (.f64 (.f64 N N) (-.f64 (.f64 N N) N)))))) (fma.f64 N (-.f64 N (.f64 N (-.f64 (.f64 N N) N))) (.f64 (-.f64 (.f64 N N) N) (.f64 (.f64 N N) (-.f64 (*.f64 N N) N)))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) (.f64 (fma.f64 N (-.f64 (.f64 N N) N) N) (fma.f64 N (-.f64 (.f64 N N) N) (neg.f64 N)))) (fma.f64 N (-.f64 (*.f64 N N) N) (neg.f64 N)))
(.f64 (pow.f64 (neg.f64 (fma.f64 N (-.f64 (.f64 N N) N) N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (.f64 (.f64 N N) (fma.f64 N (.f64 N N) #s(literal 1 binary64))) (.f64 N (fma.f64 N (-.f64 (*.f64 N N) N) N))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (neg.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(neg.f64 (neg.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (neg.f64 (neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1 binary64)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1 binary64))) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(pow.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))

eval265.0ms (2.7%)

Memory: 3.9MiB live, 281.3MiB allocated
Compiler: Compiled 36 005 to 2 543 computations (92.9% saved)

prune120.0ms (1.2%)

Memory

17.0MiB live, 335.2MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1 090	12	1 102
Fresh	9	3	12
Picked	2	3	5
Done	0	3	3
Total	1 101	21	1 122

Accuracy

100.0%

Counts

1 122 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -2 binary64))
	80.0%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
	99.1%	(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64))
	79.8%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 N (.f64 N N)) N) (.f64 N (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	79.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
	95.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
	95.7%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
	92.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
✓	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))
✓	6.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
✓	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
	99.5%	(*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
✓	99.3%	(*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.4%	(.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
	99.4%	#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) #s(approx (- (/ (* N (* N N)) (* N (+ (* N (- (* N N) N)) N))) (/ -1 (* N (+ (* N (- (* N N) N)) N)))) (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) #s(literal 1 binary64))))
	92.0%	#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) #s(approx (- (/ (* N (* N N)) (* N (+ (* N (- (* N N) N)) N))) (/ -1 (* N (+ (* N (- (* N N) N)) N)))) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
	99.4%	#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) #s(approx (atan2 1 (+ (* (* N (* N N)) (- (/ (* N (* N N)) (* N (+ (* N (- (* N N) N)) N))) (/ -1 (* N (+ (* N (- (* N N) N)) N))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))))
	99.6%	#s(approx (atan2 1 (+ (* (* N (- (* N (* N N)) N)) (/ 1 (- (* N N) N))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))))

Compiler

Compiled 1 869 to 377 computations (79.8% saved)

regimes33.0ms (0.3%)

Memory

-8.9MiB live, 70.8MiB allocated

Counts

58 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
#s(approx (atan2 1 (+ (* (* N (- (* N (* N N)) N)) (/ 1 (- (* N N) N))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) #s(approx (- (/ (* N (* N N)) (* N (+ (* N (- (* N N) N)) N))) (/ -1 (* N (+ (* N (- (* N N) N)) N)))) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) #s(approx (- (/ (* N (* N N)) (* N (+ (* N (- (* N N) N)) N))) (/ -1 (* N (+ (* N (- (* N N) N)) N)))) (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 N (.f64 N N)) N) (.f64 N (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N N) (-.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 N (.f64 N (.f64 N N)))) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))
#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) #s(approx (atan2 1 (+ (* (* N (* N N)) (- (/ (* N (* N N)) (* N (+ (* N (- (* N N) N)) N))) (/ -1 (* N (+ (* N (- (* N N) N)) N))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 N (fma.f64 N (.f64 N N) (-.f64 N (.f64 N N))))) (.f64 (.f64 N N) (fma.f64 N (.f64 N (*.f64 N N)) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (.f64 N N) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64)))
#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) (-.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1 binary64) (.f64 N (fma.f64 N (-.f64 (.f64 N N) N) N)))) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (fma.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N N)) (.f64 (.f64 N N) (.f64 N N)))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -2 binary64))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(/.f64 (.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
(.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal -1 binary64)))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))

Calls

2 calls:

17.0ms	N
13.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.6%	1	`N`
99.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
#s(approx (atan2 1 (+ (* (* N (- (* N (* N N)) N)) (/ 1 (- (* N N) N))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (atan2 1 (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N N)) #s(approx (- (/ (* N (* N N)) (* N (+ (* N (- (* N N) N)) N))) (/ -1 (* N (+ (* N (- (* N N) N)) N)))) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))

Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))

Calls

2 calls:

4.0ms	N
3.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.6%	1	`N`
99.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Memory

-26.0MiB live, 13.7MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Calls

2 calls:

17.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
4.0ms	N

Results

Accuracy	Segments	Branch
99.6%	1	`N`
99.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))

Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))

Calls

2 calls:

3.0ms	N
3.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
95.7%	1	`N`
95.7%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))

Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))

Calls

2 calls:

3.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
92.2%	1	`N`
92.2%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes29.0ms (0.3%)

Memory

-30.0MiB live, 9.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))

(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))

(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* N (* N N)) (* (* N N) (* (* N N) (* N N)))) (/ 1 (+ (* (* N N) (* N N)) (* N (- N (* N N)))))) 1) (+.f64 #s(literal 1 binary64) N)))

Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))

Calls

2 calls:

27.0ms	N
1.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
8.1%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
8.1%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))

Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))

Calls

2 calls:

1.0ms	N
1.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
6.6%	1	`N`
6.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify6.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	79
1	29	79

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))

soundness682.0ms (6.9%)

Memory

-8.7MiB live, 558.2MiB allocated

Rules

7 682×	`lower-fma.f64`
7 682×	`lower-fma.f32`
4 416×	`lower-/.f32`
4 406×	`lower-/.f64`
4 226×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	2408
1	155	2400
2	374	2400
3	1062	2400
4	4079	2400
5	7535	2400
0	8019	2107
0	24	293
0	47	185
1	189	185
2	1465	185
0	8307	178
0	6	16
0	10	16
1	47	16
2	315	16
3	3374	16
0	9055	16

Stop Event

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

Compiler

Compiled 207 to 95 computations (54.1% saved)

preprocess138.0ms (1.4%)

Memory: 7.9MiB live, 207.9MiB allocated
Compiler: Compiled 160 to 68 computations (57.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	20	17
2	51	16
3	119	16
4	207	16
5	250	16
6	263	16
0	6	7
0	10	7
1	18	7
2	26	7
3	44	7
4	81	7
5	129	7
6	171	7
7	197	7
8	202	7
0	202	7

Iter	Nodes	Cost
0	14	186
1	36	186
2	66	186
3	148	186
4	264	186
5	341	186
6	383	186
7	398	186
0	398	186

Iter	Nodes	Cost
0	8	19
1	20	17
2	51	16
3	119	16
4	207	16
5	250	16
6	263	16
0	6	7
0	10	7
1	18	7
2	26	7
3	44	7
4	81	7
5	129	7
6	171	7
7	197	7
8	202	7
0	202	7

Iter	Nodes	Cost
0	14	186
1	36	186
2	66	186
3	148	186
4	264	186
5	341	186
6	383	186
7	398	186
0	398	186

start0.0ms (0%)

analyze2.0ms (0%)

sample1.9s (19%)

explain376.0ms (3.8%)

preprocess28.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize49.0ms (0.5%)

series1.0ms (0%)

simplify15.0ms (0.2%)

rewrite328.0ms (3.3%)

eval63.0ms (0.6%)

prune42.0ms (0.4%)

simplify329.0ms (3.3%)

localize165.0ms (1.7%)

series20.0ms (0.2%)

simplify247.0ms (2.5%)

rewrite560.0ms (5.7%)

eval603.0ms (6.1%)

prune472.0ms (4.8%)

simplify198.0ms (2%)

localize164.0ms (1.7%)

series15.0ms (0.2%)

simplify301.0ms (3.1%)

rewrite534.0ms (5.4%)

eval448.0ms (4.6%)

prune257.0ms (2.6%)

simplify345.0ms (3.5%)

localize207.0ms (2.1%)

series36.0ms (0.4%)

simplify387.0ms (3.9%)

rewrite454.0ms (4.6%)

eval265.0ms (2.7%)

prune120.0ms (1.2%)

regimes33.0ms (0.3%)

regimes9.0ms (0.1%)

regimes21.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes29.0ms (0.3%)

regimes3.0ms (0%)

simplify6.0ms (0.1%)

soundness682.0ms (6.9%)

preprocess138.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	20	17
2	51	16
3	119	16
4	207	16
5	250	16
6	263	16
0	6	7
0	10	7
1	18	7
2	26	7
3	44	7
4	81	7
5	129	7
6	171	7
7	197	7
8	202	7
0	202	7

Iter	Nodes	Cost
0	14	186
1	36	186
2	66	186
3	148	186
4	264	186
5	341	186
6	383	186
7	398	186
0	398	186