Metrics for 2atan (example 3.5)

analyze2.0ms (0%)

Memory

4.2MiB live, 4.2MiB 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 (17.4%)

Memory

-125.2MiB live, 2 625.0MiB allocated

Samples

1.5s	7 311×	1	valid
149.0ms	667×	2	valid
24.0ms	278×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-atan: 585.0ms (42.6% of total)

const: 291.0ms (21.2% of total)

adjust: 151.0ms (11% of total)

ival-add: 127.0ms (9.2% of total)

ival-sub: 112.0ms (8.2% of total)

ival->: 53.0ms (3.9% of total)

ival-<: 20.0ms (1.5% of total)

ival-and: 19.0ms (1.4% of total)

exact: 11.0ms (0.8% of total)

ival-assert: 5.0ms (0.4% of total)

Bogosity

preprocess22.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

2×	egg-herbie

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
74×	`sub-neg`
48×	`-lowering-.f32`
48×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	25	24
2	51	23
3	90	23
4	145	23
5	214	23
6	268	23
7	299	23
8	342	23
9	357	23
10	365	23
0	6	7
1	11	7
2	15	7
3	21	7
4	29	7
5	44	7
6	76	7
7	101	7
8	143	7
9	158	7
10	166	7
0	166	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(- (atan (+ N 1)) (atan N))
(- (atan (+ (neg N) 1)) (atan (neg N)))
(neg (- (atan (+ (neg N) 1)) (atan (neg N))))

Outputs
(- (atan (+ N 1)) (atan N))
(- (atan (+ (neg N) 1)) (atan (neg N)))
(- (atan (- 1 N)) (atan (neg N)))
(neg (- (atan (+ (neg N) 1)) (atan (neg N))))
(- (atan (neg N)) (atan (- 1 N)))

explain137.0ms (1.2%)

Memory

6.7MiB live, 121.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	1	(3.8820270980647162)	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	-	0	-	`N`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(atan.f64 N)`
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	255	0

Confusion

	Predicted +	Predicted -
+	255	1
-	0	0

Precision

1.0

Recall

0.99609375

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	1
-	0	0	0

Precision?

1.0

Recall?

0.99609375

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

83.0ms	456×	1	valid
5.0ms	36×	2	valid
1.0ms	20×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

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

ival-add: 37.0ms (51.3% of total)

ival-atan: 20.0ms (27.8% of total)

adjust: 8.0ms (11.1% of total)

ival-sub: 6.0ms (8.3% of total)

exact: 1.0ms (1.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.0%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
36×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	21	18
4	29	18
5	44	18
6	76	18
7	101	18
8	143	18
9	158	18
10	166	18
0	166	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize50.0ms (0.4%)

Memory

-60.5MiB live, 51.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(atan.f64 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	100.0%	(atan.f64 N)
✓	accuracy	9.0%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

34.0ms	228×	1	valid
3.0ms	18×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-atan: 18.0ms (65% of total)

adjust: 4.0ms (14.4% of total)

ival-add: 3.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

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

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (- (atan (+ N 1)) (atan N))>
#<alt (atan (+ N 1))>
#<alt (+ N 1)>
#<alt (atan 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	@	inf	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	0	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	0	(+ N 1)

rewrite309.0ms (2.8%)

Memory

7.9MiB live, 473.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 024×	`-lowering-.f32`
4 024×	`-lowering-.f64`
3 876×	`/-lowering-/.f32`
3 876×	`/-lowering-/.f64`
3 196×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	40	16
2	280	16
3	2880	16
0	8338	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 239

Calls

Call 1

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

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

simplify23.0ms (0.2%)

Memory

11.1MiB live, 48.4MiB allocated

Algorithm

1×	egg-herbie

Rules

192×	`accelerator-lowering-fma.f32`
192×	`accelerator-lowering-fma.f64`
128×	`-lowering-.f32`
128×	`-lowering-.f64`
96×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	189	186
5	335	186
6	381	186
7	420	186
8	475	186
9	490	186
10	498	186
0	498	186

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

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)

eval52.0ms (0.5%)

Memory: -12.5MiB live, 75.2MiB allocated
Compiler: Compiled 9 562 to 915 computations (90.4% saved)

prune55.0ms (0.5%)

Memory

35.9MiB live, 74.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	278	9	287
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	279	9	288

Accuracy

99.8%

Counts

288 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
	99.5%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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 (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 (+.f64 N #s(literal 1 binary64)) #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)))))
▶	99.4%	(.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 (+.f64 N #s(literal 1 binary64)) #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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	99.5%	(.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 (+.f64 N #s(literal 1 binary64)) #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))))))
	99.3%	(.f64 (/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
▶	99.4%	(.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)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 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 (+.f64 N #s(literal 1 binary64)) #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 716 to 244 computations (65.9% saved)

simplify603.0ms (5.4%)

Memory

14.5MiB live, 959.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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 (+.f64 N #s(literal 1 binary64)) #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 (+.f64 N #s(literal 1 binary64)) #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	(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	0	(/.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	7168	(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64))
✓	cost-diff	16192	(.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)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 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 #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	16192	(.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 (+.f64 N #s(literal 1 binary64)) #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	(+.f64 N #s(literal 1 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	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 (+.f64 N #s(literal 1 binary64)) #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	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))

Rules

21 820×	`accelerator-lowering-fma.f32`
21 820×	`accelerator-lowering-fma.f64`
6 032×	`+-lowering-+.f64`
6 032×	`+-lowering-+.f32`
3 126×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	505
1	72	503
2	149	503
3	285	503
4	1009	503
5	5190	503
0	8111	440

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize151.0ms (1.4%)

Memory

-27.6MiB live, 310.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	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 (+.f64 N #s(literal 1 binary64)) #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	99.4%	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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	98.6%	(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	99.6%	(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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	99.5%	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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	99.4%	(.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)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64)))
✓	accuracy	99.9%	(/.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	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.5%	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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	99.4%	(.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 (+.f64 N #s(literal 1 binary64)) #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	100.0%	(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	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 (+.f64 N #s(literal 1 binary64)) #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	99.5%	(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))

Samples

62.0ms

256×

valid

Compiler

Compiled 598 to 31 computations (94.8% saved)

Precisions

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

ival-mult: 15.0ms (36.6% of total)

ival-div: 7.0ms (17.1% of total)

ival-add: 6.0ms (14.6% of total)

ival-atan2: 4.0ms (9.8% of total)

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

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

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

ival-sub: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-17.1MiB live, 21.4MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
3.0ms	N	@	-inf	(* (atan2 1 (+ (* N (+ N 1)) 1)) (/ 1 (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))))
2.0ms	N	@	-inf	(/ (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
1.0ms	N	@	inf	(* (atan2 1 (+ (* N (+ N 1)) 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 1)) 1)) (/ 1 (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))))
1.0ms	N	@	0	(pow (/ 1 (* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))) -1)

rewrite486.0ms (4.4%)

Memory

0.5MiB live, 595.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 536×	`accelerator-lowering-fma.f32`
4 536×	`accelerator-lowering-fma.f64`
4 436×	`-lowering-.f32`
4 436×	`-lowering-.f64`
4 226×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	248
1	178	240
2	1258	240
0	8191	210

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 940

Calls

Call 1

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

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

simplify408.0ms (3.7%)

Memory

33.7MiB live, 497.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 354×	`accelerator-lowering-fma.f32`
10 354×	`accelerator-lowering-fma.f64`
3 500×	`-lowering-.f32`
3 500×	`-lowering-.f64`
1 624×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	2852
1	138	2844
2	223	2844
3	704	2844
4	3236	2844
5	6221	2844
0	8126	2491

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval471.0ms (4.2%)

Memory: 37.1MiB live, 1 009.1MiB allocated
Compiler: Compiled 177 697 to 4 774 computations (97.3% saved)

prune340.0ms (3.1%)

Memory

-0.9MiB live, 647.4MiB allocated

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	3 066	27	3 093
Fresh	2	2	4
Picked	4	1	5
Done	0	0	0
Total	3 072	30	3 102

Accuracy

100.0%

Counts

3 102 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N (.f64 N N)) (.f64 N (-.f64 N (.f64 N N))))) #s(literal 1 binary64)))
	77.6%	(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)))
	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (.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))) #s(literal 1 binary64)))
	96.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
	93.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))
	77.8%	(atan2.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 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
	46.8%	(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)))))))
	46.8%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #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)))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	7.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
▶	77.6%	(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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
▶	6.2%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	99.5%	(/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.5%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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))))
	98.5%	(.f64 (pow.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	96.4%	(*.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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	93.1%	(*.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 (+.f64 N #s(literal 1 binary64)) #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 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 (+.f64 N #s(literal 1 binary64)) #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))))))
	98.9%	(.f64 (/.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (/.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
▶	15.9%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 N N)) (-.f64 (+.f64 #s(literal 1 binary64) N) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	99.3%	(*.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)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
	99.0%	(.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)))) (pow.f64 (sqrt.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #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 (fma.f64 #s(literal 2 binary64) N #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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
▶	93.1%	(.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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	99.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (sqrt.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (sqrt.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) 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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.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 (+.f64 N #s(literal 1 binary64)) #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 1 795 to 717 computations (60.1% saved)

simplify372.0ms (3.3%)

Memory

-33.8MiB live, 470.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(-.f64 (+.f64 #s(literal 1 binary64) N) N)
✓	cost-diff	704	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 N N)) (-.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	cost-diff	768	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 N N))
✓	cost-diff	16192	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 N N)) (-.f64 (+.f64 #s(literal 1 binary64) N) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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	(+.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 #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	320	(.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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	cost-diff	0	(fma.f64 N N N)
✓	cost-diff	0	(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
✓	cost-diff	0	(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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
✓	cost-diff	2176	(*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 N N #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))

Rules

12 878×	`accelerator-lowering-fma.f32`
12 878×	`accelerator-lowering-fma.f64`
2 658×	`+-lowering-+.f64`
2 658×	`+-lowering-+.f32`
2 552×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	347
1	109	345
2	276	345
3	826	345
4	3863	345
5	6372	345
0	8035	300

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(atan2 1 (+ N (+ (* N N) 1)))
1
(+ N (+ (* N N) 1))
N
(+ (* N N) 1)
(atan2 1 1)
1
(atan2 1 (* (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (/ 1 (+ (* N (+ 1 N)) -1))))
1
(* (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (/ 1 (+ (* N (+ 1 N)) -1)))
(+ (* (+ (* N N) N) (+ (* N N) N)) -1)
(+ (* N N) N)
N
-1
(/ 1 (+ (* N (+ 1 N)) -1))
(+ (* N (+ 1 N)) -1)
(+ 1 N)
(* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N)))))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
1
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(+ N (+ N 1))
N
(+ N 1)
(- 1 (+ (* N N) N))
(+ (* N N) N)
(* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N))))
(atan2 1 (+ (* N (+ N 1)) 1))
(+ (* N (+ N 1)) 1)
(atan2 1 (- 1 (+ (* N N) N)))
(* (/ 1 (atan2 (/ (- (* (+ 1 N) (+ 1 N)) (* N N)) (- (+ 1 N) N)) (- 1 (+ (* N N) N)))) (* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))))
(/ 1 (atan2 (/ (- (* (+ 1 N) (+ 1 N)) (* N N)) (- (+ 1 N) N)) (- 1 (+ (* N N) N))))
1
(atan2 (/ (- (* (+ 1 N) (+ 1 N)) (* N N)) (- (+ 1 N) N)) (- 1 (+ (* N N) N)))
(/ (- (* (+ 1 N) (+ 1 N)) (* N N)) (- (+ 1 N) N))
(- (* (+ 1 N) (+ 1 N)) (* N N))
(* (+ 1 N) (+ 1 N))
(+ 1 N)
N
(* N N)
(- (+ 1 N) N)
(- 1 (+ (* N N) N))
(+ (* N N) N)
(* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(atan2 1 (+ (* N (+ N 1)) 1))
(+ (* N (+ N 1)) 1)
(+ N 1)
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(+ N (+ N 1))

Outputs
(atan2 1 (+ N (+ (* N N) 1)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ N (+ (* N N) 1))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+ (* N N) 1)
(fma.f64 N N #s(literal 1 binary64))
(atan2 1 1)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(atan2 1 (* (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (/ 1 (+ (* N (+ 1 N)) -1))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(* (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (/ 1 (+ (* N (+ 1 N)) -1)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+ (* (+ (* N N) N) (+ (* N N) N)) -1)
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
(+ (* N N) N)
(fma.f64 N N N)
N
-1
#s(literal -1 binary64)
(/ 1 (+ (* N (+ 1 N)) -1))
(/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(+ (* N (+ 1 N)) -1)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(+ N (+ N 1))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(- 1 (+ (* N N) N))
(fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(+ (* N N) N)
(fma.f64 N N N)
(* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(atan2 1 (+ (* N (+ N 1)) 1))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(+ (* N (+ N 1)) 1)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(atan2 1 (- 1 (+ (* N N) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(* (/ 1 (atan2 (/ (- (* (+ 1 N) (+ 1 N)) (* N N)) (- (+ 1 N) N)) (- 1 (+ (* N N) N)))) (* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(/ 1 (atan2 (/ (- (* (+ 1 N) (+ 1 N)) (* N N)) (- (+ 1 N) N)) (- 1 (+ (* N N) N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(atan2 (/ (- (* (+ 1 N) (+ 1 N)) (* N N)) (- (+ 1 N) N)) (- 1 (+ (* N N) N)))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(/ (- (* (+ 1 N) (+ 1 N)) (* N N)) (- (+ 1 N) N))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(- (* (+ 1 N) (+ 1 N)) (* N N))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(* (+ 1 N) (+ 1 N))
(fma.f64 N (+.f64 #s(literal 2 binary64) N) #s(literal 1 binary64))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
N
(* N N)
(fma.f64 N N #s(literal 0 binary64))
(- (+ 1 N) N)
#s(literal 1 binary64)
(- 1 (+ (* N N) N))
(fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(+ (* N N) N)
(fma.f64 N N N)
(* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(*.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(atan2 1 (+ (* N (+ N 1)) 1))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(+ (* N (+ N 1)) 1)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(+ N (+ N 1))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))

localize249.0ms (2.2%)

Memory

-16.1MiB live, 334.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 N N)) (-.f64 (+.f64 #s(literal 1 binary64) N) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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	18.6%	(-.f64 (+.f64 #s(literal 1 binary64) N) N)
✓	accuracy	12.5%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 N N))
✓	accuracy	99.9%	(/.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	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.6%	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	99.4%	(.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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
✓	accuracy	99.6%	(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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
✓	accuracy	99.4%	(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
✓	accuracy	77.6%	(*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
✓	accuracy	100.0%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 N N #s(literal 1 binary64))
✓	accuracy	99.9%	(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))

Samples

151.0ms	222×	1	valid
9.0ms	34×	0	valid

Compiler

Compiled 428 to 38 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 54.0ms (42.7% of total)

ival-add: 19.0ms (15% of total)

ival-atan2: 19.0ms (15% of total)

adjust: 15.0ms (11.9% of total)

ival-div: 11.0ms (8.7% of total)

ival-sub: 8.0ms (6.3% of total)

exact: 0.0ms (0% of total)

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

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

series12.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

20 → 228

Calls

Call 1

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

Calls

57 calls:

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

rewrite488.0ms (4.4%)

Memory

-5.5MiB live, 833.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 892×	`accelerator-lowering-fma.f32`
6 892×	`accelerator-lowering-fma.f64`
4 510×	`/-lowering-/.f32`
4 510×	`/-lowering-/.f64`
3 452×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	246
1	267	228
2	2287	202
0	8174	176

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 436

Calls

Call 1

Inputs
(atan2 1 (+ N (+ (* N N) 1)))
(+ N (+ (* N N) 1))
(+ (* N N) 1)
(atan2 1 1)
(* (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (/ 1 (+ (* N (+ 1 N)) -1)))
(atan2 1 (* (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (/ 1 (+ (* N (+ 1 N)) -1))))
(+ (* (+ (* N N) N) (+ (* N N) N)) -1)
(+ (* N N) N)
(* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N)))))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(+ N (+ N 1))
(* (/ 1 (atan2 (/ (- (* (+ 1 N) (+ 1 N)) (* N N)) (- (+ 1 N) N)) (- 1 (+ (* N N) N)))) (* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))))
(- (* (+ 1 N) (+ 1 N)) (* N N))
(/ (- (* (+ 1 N) (+ 1 N)) (* N N)) (- (+ 1 N) N))
(- (+ 1 N) N)
(/ 1 (+ (* N (+ 1 N)) -1))
(* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N))))
(atan2 1 (+ (* N (+ N 1)) 1))
(* (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))

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

simplify481.0ms (4.3%)

Memory

12.1MiB live, 598.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 196×	`accelerator-lowering-fma.f32`
14 196×	`accelerator-lowering-fma.f64`
4 458×	`-lowering-.f32`
4 458×	`-lowering-.f64`
1 876×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	2745
1	381	2692
2	897	2670
3	3511	2600
0	8386	2275

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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

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

eval550.0ms (4.9%)

Memory: 52.6MiB live, 509.8MiB allocated
Compiler: Compiled 118 643 to 5 804 computations (95.1% saved)

prune430.0ms (3.9%)

Memory

-34.3MiB live, 438.7MiB allocated

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	2 327	12	2 339
Fresh	9	15	24
Picked	2	3	5
Done	0	1	1
Total	2 338	31	2 369

Accuracy

100.0%

Counts

2 369 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 N N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64))))
	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
	96.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
	93.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	77.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
▶	77.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
	46.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal 1 binary64)) (.f64 N N)) (fma.f64 (.f64 N N) (.f64 N (.f64 N (*.f64 N N))) #s(literal 1 binary64))))))
▶	7.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
✓	77.6%	(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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
	77.6%	(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N (+.f64 N #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
	99.5%	(atan2.f64 #s(literal 1 binary64) (.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))))
	46.9%	(atan2.f64 #s(literal 1 binary64) (.f64 (/.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) (*.f64 (fma.f64 N N N) (fma.f64 N N N))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))))
✓	6.2%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	99.5%	(/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	92.3%	(.f64 (pow.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	96.4%	(*.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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶	93.1%	(*.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 (+.f64 N #s(literal 1 binary64)) #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 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 (+.f64 N #s(literal 1 binary64)) #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))))))
	98.9%	(.f64 (/.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (/.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	99.5%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	99.3%	(*.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)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
	99.0%	(.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)))) (pow.f64 (sqrt.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #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 (fma.f64 #s(literal 2 binary64) N #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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
	93.4%	(.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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))))
	99.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (sqrt.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (sqrt.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) 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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.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 (+.f64 N #s(literal 1 binary64)) #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 1 732 to 725 computations (58.1% saved)

simplify495.0ms (4.5%)

Memory

-22.4MiB live, 695.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	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 #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	1088	(/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
✓	cost-diff	16192	(*.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 (fma.f64 #s(literal 2 binary64) N #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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
✓	cost-diff	0	(+.f64 N #s(literal 1 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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	cost-diff	0	(.f64 N (.f64 N (*.f64 N N)))
✓	cost-diff	0	(+.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 N N))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
✓	cost-diff	384	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 N N)))
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 N N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64))))
✓	cost-diff	64	(/.f64 (*.f64 N N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
✓	cost-diff	1792	(fma.f64 (/.f64 (*.f64 N N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64)))

Rules

19 386×	`accelerator-lowering-fma.f32`
19 386×	`accelerator-lowering-fma.f64`
3 838×	`-lowering-.f32`
3 838×	`-lowering-.f64`
2 414×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	449
1	108	437
2	259	353
3	635	353
4	2197	353
5	7601	353
0	8636	315

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(atan2 1 (+ (* (/ (* N N) (+ (* 2 N) 1)) (+ (* 2 N) 1)) (- N -1)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ (* (/ (* N N) (+ (* 2 N) 1)) (+ (* 2 N) 1)) (- N -1))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(/ (* N N) (+ (* 2 N) 1))
(*.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))))
(* N N)
(fma.f64 N N #s(literal 0 binary64))
N
(+ (* 2 N) 1)
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(- N -1)
(+.f64 #s(literal 1 binary64) N)
-1
#s(literal -1 binary64)
(atan2 1 (+ N 1))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
1
#s(literal 1 binary64)
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
N
(atan2 1 (+ N (/ (- 1 (* N (* N (* N N)))) (- 1 (* N N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ N (/ (- 1 (* N (* N (* N N)))) (- 1 (* N N))))
(+.f64 N (/.f64 (fma.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
N
(/ (- 1 (* N (* N (* N N)))) (- 1 (* N N)))
(/.f64 (fma.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))
(- 1 (* N (* N (* N N))))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)) #s(literal -1 binary64)))
(* N (* N (* N N)))
(.f64 N (.f64 N (fma.f64 N N #s(literal 0 binary64))))
(* N (* N N))
(*.f64 N (fma.f64 N N #s(literal 0 binary64)))
(* N N)
(fma.f64 N N #s(literal 0 binary64))
(- 1 (* N N))
(-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))
(* (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))) (/ (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(+ N (+ N 1))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(- 1 (+ (* N N) N))
(fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(+ (* N N) N)
(fma.f64 N N N)
(/ (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(atan2 1 (+ (* N (+ N 1)) 1))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(+ (* N (+ N 1)) 1)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(atan2 1 (- 1 (+ (* N N) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (/ (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N))) (/ 1 (atan2 1 (+ (* N (+ 1 N)) 1)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(+ N (+ N 1))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(- 1 (+ (* N N) N))
(fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(+ (* N N) N)
(fma.f64 N N N)
(/ (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N))) (/ 1 (atan2 1 (+ (* N (+ 1 N)) 1))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))
(atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(+ (* 2 N) 1)
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(/ 1 (atan2 1 (+ (* N (+ 1 N)) 1)))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(atan2 1 (+ (* N (+ 1 N)) 1))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(+ (* N (+ 1 N)) 1)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)

localize174.0ms (1.6%)

Memory

18.3MiB live, 131.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
✓	accuracy	99.6%	(/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
✓	accuracy	99.4%	(*.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 (fma.f64 #s(literal 2 binary64) N #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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
✓	accuracy	100.0%	(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	accuracy	99.4%	(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	99.7%	(.f64 N (.f64 N (*.f64 N N)))
✓	accuracy	99.7%	(.f64 N (.f64 N N))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
✓	accuracy	77.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 N N)))
✓	accuracy	100.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	100.0%	(fma.f64 (/.f64 (*.f64 N N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64)))
✓	accuracy	99.8%	(/.f64 (*.f64 N N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 N N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64))))

Samples

76.0ms

256×

valid

Compiler

Compiled 399 to 42 computations (89.5% saved)

Precisions

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

ival-sub: 14.0ms (24.6% of total)

ival-atan2: 12.0ms (21.1% of total)

ival-mult: 12.0ms (21.1% of total)

ival-div: 9.0ms (15.8% of total)

ival-add: 9.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.3%)

Memory

-19.0MiB live, 25.5MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (+ (* (/ (* N N) (+ (* 2 N) 1)) (+ (* 2 N) 1)) (- N -1))>
#<alt (/ (* N N) (+ (* 2 N) 1))>
#<alt (atan2 1 (+ (* (/ (* N N) (+ (* 2 N) 1)) (+ (* 2 N) 1)) (- N -1)))>
#<alt (+ (* 2 N) 1)>
#<alt (atan2 1 (+ N 1))>
#<alt (+ N 1)>
#<alt (/ (- 1 (* N (* N (* N N)))) (- 1 (* N N)))>
#<alt (atan2 1 (+ N (/ (- 1 (* N (* N (* N N)))) (- 1 (* N N)))))>
#<alt (+ N (/ (- 1 (* N (* N (* N N)))) (- 1 (* N N))))>
#<alt (* N (* N (* N N)))>
#<alt (* (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))) (/ (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N)))))>
#<alt (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))>
#<alt (+ N (+ N 1))>
#<alt (* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (/ (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N))) (/ 1 (atan2 1 (+ (* N (+ 1 N)) 1)))))>
#<alt (/ (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N))) (/ 1 (atan2 1 (+ (* N (+ 1 N)) 1))))>
#<alt (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))>
#<alt (* N N)>
#<alt (* N (* N N))>
#<alt (/ (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N))))>
#<alt (atan2 1 (+ (* N (+ N 1)) 1))>
#<alt (+ (* N (+ N 1)) 1)>
#<alt (/ 1 (atan2 1 (+ (* N (+ 1 N)) 1)))>
#<alt (atan2 1 (+ (* N (+ 1 N)) 1))>

Outputs
#<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 2)>
#<alt (* (pow N 2) (+ 1 (* -2 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- (* 4 N) 2))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 4 (* -8 N))) 2))))>
#<alt (* 1/2 N)>
#<alt (* N (- 1/2 (* 1/4 (/ 1 N))))>
#<alt (* N (- (+ 1/2 (/ 1/8 (pow N 2))) (* 1/4 (/ 1 N))))>
#<alt (* N (- (+ 1/2 (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))))>
#<alt (* 1/2 N)>
#<alt (* -1 (* N (- (* 1/4 (/ 1 N)) 1/2)))>
#<alt (* -1 (* N (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2)))>
#<alt (* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/4) N)) 1/2)))>
#<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 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))>
#<alt (atan2 1 (+ 1 N))>
#<alt (atan2 1 (+ 1 N))>
#<alt (atan2 1 (+ 1 N))>
#<alt (atan2 1 (+ 1 N))>
#<alt (atan2 1 (+ 1 N))>
#<alt (atan2 1 (+ 1 N))>
#<alt (atan2 1 (+ 1 N))>
#<alt (atan2 1 (- 1 (* -1 N)))>
#<alt (atan2 1 (- 1 (* -1 N)))>
#<alt (atan2 1 (- 1 (* -1 N)))>
#<alt (atan2 1 (- 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 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 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))>
#<alt (atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))>
#<alt (atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))>
#<alt (atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))>
#<alt (atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))>
#<alt (atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))>
#<alt (atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))>
#<alt (atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))>
#<alt (atan2 1 (- (/ 1 (- 1 (pow N 2))) (+ (* -1 N) (/ (pow N 4) (- 1 (pow N 2))))))>
#<alt (atan2 1 (- (/ 1 (- 1 (pow N 2))) (+ (* -1 N) (/ (pow N 4) (- 1 (pow N 2))))))>
#<alt (atan2 1 (- (/ 1 (- 1 (pow N 2))) (+ (* -1 N) (/ (pow N 4) (- 1 (pow N 2))))))>
#<alt (atan2 1 (- (/ 1 (- 1 (pow N 2))) (+ (* -1 N) (/ (pow N 4) (- 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 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 (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (atan2 1 (- (+ 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 (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 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 (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (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 (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -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 (+ 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))))>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (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 (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (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 (- 1 (* -1 N))))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 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 (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* 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 (atan2 1 (+ 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 1 (+ 1 (* N (+ 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 (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 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 (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>

Calls

69 calls:

Time	Variable		Point	Expression
19.0ms	N	@	0	(/ (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N))))
4.0ms	N	@	-inf	(/ (* N N) (+ (* 2 N) 1))
1.0ms	N	@	inf	(* (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))) (/ (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N)))))
1.0ms	N	@	-inf	(* (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))) (/ (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N)))))
1.0ms	N	@	inf	(/ (atan2 1 (+ (* N (+ N 1)) 1)) (atan2 1 (- 1 (+ (* N N) N))))

rewrite653.0ms (5.9%)

Memory

31.5MiB live, 308.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 966×	`accelerator-lowering-fma.f32`
10 966×	`accelerator-lowering-fma.f64`
4 944×	`/-lowering-/.f32`
4 944×	`/-lowering-/.f64`
3 608×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	329
1	291	317
2	2561	221
0	9065	195

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1 577

Calls

Call 1

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

Outputs
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(+.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 N N))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (.f64 N N) (+.f64 N N)) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(+.f64 (+.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 (.f64 (.f64 N N) (+.f64 N N)) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)))) (/.f64 (*.f64 N N) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))))
(-.f64 N (-.f64 #s(literal -1 binary64) (*.f64 N N)))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 (/.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N N))) 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))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 N #s(literal 1 binary64)) (+.f64 N #s(literal 1 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (+.f64 N (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(-.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))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 N N) (fma.f64 N (+.f64 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) (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 (+.f64 N #s(literal 1 binary64)) (+.f64 N #s(literal 1 binary64))) (-.f64 (+.f64 N #s(literal 1 binary64)) (.f64 N N))) (/.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (+.f64 N #s(literal 1 binary64)) (.f64 N N))))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(fma.f64 N #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (*.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (*.f64 (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 N (.f64 #s(literal 2 binary64) (/.f64 (.f64 N N) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 N (*.f64 (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N N)) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (.f64 N N) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N N)) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (*.f64 N N) (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 N (/.f64 (.f64 N N) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (+.f64 N N) (/.f64 (*.f64 N N) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(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 N #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 N N) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 N N) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N N) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 N N) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N))) 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 N N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N)))) N)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) N)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N))))) #s(literal -1 binary64)) N)
(fma.f64 (fma.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 N N) (fma.f64 N N #s(literal 1 binary64))) (.f64 N (.f64 N N)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 N N))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (fma.f64 N #s(literal 2 binary64) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (+.f64 (-.f64 N N) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 N N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (*.f64 N N))
(fma.f64 (.f64 N (-.f64 (.f64 N (.f64 N N)) N)) (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (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 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 0 binary64) N) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (.f64 N (.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (.f64 (+.f64 N N) (.f64 N N)) (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) N #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) N) (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 N N) N) (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) N) #s(literal 2 binary64) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) N (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 N (.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 N (.f64 N N)) #s(literal 8 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 N N) #s(literal 4 binary64) #s(literal 1 binary64)) (+.f64 N N)) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 N (.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 N N) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 N #s(literal 2 binary64) #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (/.f64 N (fma.f64 (.f64 N (.f64 N N)) #s(literal 8 binary64) #s(literal 1 binary64))) (/.f64 (.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 N N) #s(literal 4 binary64) #s(literal 1 binary64)) (+.f64 N N)))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (/.f64 N (fma.f64 (.f64 N N) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 (.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal 2 binary64) #s(literal -1 binary64)))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N))))) (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (fma.f64 (*.f64 N N) (fma.f64 N N #s(literal 1 binary64)) #s(literal 1 binary64)) N)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) (fma.f64 N N #s(literal 1 binary64)) #s(literal 1 binary64)))) N)
(fma.f64 (/.f64 (.f64 N N) (fma.f64 (.f64 N (.f64 N N)) #s(literal 8 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 N N) #s(literal 4 binary64) #s(literal 1 binary64)) (+.f64 N N)))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 N N) (fma.f64 (.f64 N (.f64 N N)) #s(literal 8 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 N N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 N N) #s(literal 4 binary64) #s(literal 1 binary64)) (+.f64 N N)))) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 N N) (fma.f64 (.f64 N N) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal 2 binary64) #s(literal -1 binary64)))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 N N) (fma.f64 (.f64 N N) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 (+.f64 N N) (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal 2 binary64) #s(literal -1 binary64)))) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 (.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)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N (.f64 N (.f64 N N))) (fma.f64 N (.f64 N (*.f64 N N)) #s(literal 1 binary64)) #s(literal 1 binary64))) N)
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N (.f64 N N)) #s(literal 1 binary64))) N)
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 N N) (fma.f64 (.f64 N (.f64 N N)) #s(literal 8 binary64) #s(literal 1 binary64))) (/.f64 (.f64 N N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 N N) #s(literal 4 binary64) #s(literal 1 binary64)) (+.f64 N N)))) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(fma.f64 (/.f64 N N) (/.f64 (-.f64 (.f64 N (.f64 N N)) N) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 N N) (fma.f64 (.f64 N N) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 (.f64 N N) (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal 2 binary64) #s(literal -1 binary64)))) (fma.f64 N (/.f64 N (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
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(*.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))) #s(literal -1 binary64)) (/.f64 (/.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)))) (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(*.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))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (/.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)))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.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)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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))))
(.f64 (/.f64 (pow.f64 (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 -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (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 -1/2 binary64)) (/.f64 #s(literal 1 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) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 (pow.f64 (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 -1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (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 -1/2 binary64)) (/.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))))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (/.f64 (-.f64 #s(literal 0 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.f64 (fma.f64 N #s(literal 2 binary64) #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) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.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))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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)))))
(*.f64 (/.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))) #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)))) (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.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)))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #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) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(.f64 (/.f64 (/.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)))) #s(literal -1 binary64)) (.f64 #s(literal -1 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) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (/.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) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.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)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify440.0ms (4%)

Memory

-28.4MiB live, 210.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 244×	`accelerator-lowering-fma.f32`
13 244×	`accelerator-lowering-fma.f64`
4 150×	`-lowering-.f32`
4 150×	`-lowering-.f64`
2 470×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	2742
1	327	2710
2	710	2702
3	3226	2694
4	7437	2694
0	8607	2403

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
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 2)
(* (pow N 2) (+ 1 (* -2 N)))
(* (pow N 2) (+ 1 (* N (- (* 4 N) 2))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 4 (* -8 N))) 2))))
(* 1/2 N)
(* N (- 1/2 (* 1/4 (/ 1 N))))
(* N (- (+ 1/2 (/ 1/8 (pow N 2))) (* 1/4 (/ 1 N))))
(* N (- (+ 1/2 (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))))
(* 1/2 N)
(* -1 (* N (- (* 1/4 (/ 1 N)) 1/2)))
(* -1 (* N (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2)))
(* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/4) N)) 1/2)))
(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)))
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))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (- 1 (* -1 N)))
(atan2 1 (- 1 (* -1 N)))
(atan2 1 (- 1 (* -1 N)))
(atan2 1 (- 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)))
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 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2 1 (- (/ 1 (- 1 (pow N 2))) (+ (* -1 N) (/ (pow N 4) (- 1 (pow N 2))))))
(atan2 1 (- (/ 1 (- 1 (pow N 2))) (+ (* -1 N) (/ (pow N 4) (- 1 (pow N 2))))))
(atan2 1 (- (/ 1 (- 1 (pow N 2))) (+ (* -1 N) (/ (pow N 4) (- 1 (pow N 2))))))
(atan2 1 (- (/ 1 (- 1 (pow N 2))) (+ (* -1 N) (/ (pow N 4) (- 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 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)
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 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 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 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 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (atan2 1 (- (+ 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 (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 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 (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (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 (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -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 (+ 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))))
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(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)
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (* N (+ 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 (- 1 (* -1 N))))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 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 (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* 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 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (+ 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 (- 1 (* -1 N))))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 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 (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow N 2)
(fma.f64 N N #s(literal 0 binary64))
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow N 2)
(fma.f64 N N #s(literal 0 binary64))
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow N 2)
(fma.f64 N N #s(literal 0 binary64))
(* (pow N 2) (+ 1 (* -2 N)))
(.f64 N (.f64 N (fma.f64 N #s(literal -2 binary64) #s(literal 1 binary64))))
(* (pow N 2) (+ 1 (* N (- (* 4 N) 2))))
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N (fma.f64 N #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (* N (- (* N (+ 4 (* -8 N))) 2))))
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N (fma.f64 N (fma.f64 N #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* 1/2 N)
(*.f64 N #s(literal 1/2 binary64))
(* N (- 1/2 (* 1/4 (/ 1 N))))
(fma.f64 N #s(literal 1/2 binary64) #s(literal -1/4 binary64))
(* N (- (+ 1/2 (/ 1/8 (pow N 2))) (* 1/4 (/ 1 N))))
(+.f64 #s(literal -1/4 binary64) (fma.f64 N #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) N)))
(* N (- (+ 1/2 (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))))
(fma.f64 N #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) N)) N) #s(literal -1/4 binary64)))
(* 1/2 N)
(*.f64 N #s(literal 1/2 binary64))
(* -1 (* N (- (* 1/4 (/ 1 N)) 1/2)))
(fma.f64 N #s(literal 1/2 binary64) #s(literal -1/4 binary64))
(* -1 (* N (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2)))
(+.f64 #s(literal -1/4 binary64) (fma.f64 N #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) N)))
(* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/4) N)) 1/2)))
(fma.f64 N #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) N)) N) #s(literal -1/4 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
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)
(fma.f64 N #s(literal 2 binary64) #s(literal 0 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)
(fma.f64 N #s(literal 2 binary64) #s(literal 0 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))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2 1 (- 1 (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2 1 (- 1 (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2 1 (- 1 (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2 1 (- 1 (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.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)
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)
(fma.f64 N N #s(literal 0 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) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(pow N 2)
(fma.f64 N N #s(literal 0 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) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64))) (fma.f64 N N #s(literal -1 binary64))))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64))) (fma.f64 N N #s(literal -1 binary64))))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64))) (fma.f64 N N #s(literal -1 binary64))))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64))) (fma.f64 N N #s(literal -1 binary64))))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64))) (fma.f64 N N #s(literal -1 binary64))))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64))) (fma.f64 N N #s(literal -1 binary64))))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64))) (fma.f64 N N #s(literal -1 binary64))))))
(atan2 1 (- (+ N (/ 1 (- 1 (pow N 2)))) (/ (pow N 4) (- 1 (pow N 2)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64))) (fma.f64 N N #s(literal -1 binary64))))))
(atan2 1 (- (/ 1 (- 1 (pow N 2))) (+ (* -1 N) (/ (pow N 4) (- 1 (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64))) (fma.f64 N N #s(literal -1 binary64))))))
(atan2 1 (- (/ 1 (- 1 (pow N 2))) (+ (* -1 N) (/ (pow N 4) (- 1 (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64))) (fma.f64 N N #s(literal -1 binary64))))))
(atan2 1 (- (/ 1 (- 1 (pow N 2))) (+ (* -1 N) (/ (pow N 4) (- 1 (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64))) (fma.f64 N N #s(literal -1 binary64))))))
(atan2 1 (- (/ 1 (- 1 (pow N 2))) (+ (* -1 N) (/ (pow N 4) (- 1 (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64))) (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)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow N 2)
(fma.f64 N N #s(literal 0 binary64))
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow N 2)
(fma.f64 N N #s(literal 0 binary64))
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow N 4)
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)))
(pow N 4)
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)))
(pow N 4)
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)))
(pow N 4)
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)))
(pow N 4)
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)))
(pow N 4)
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)))
(pow N 4)
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)))
(pow N 4)
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)))
(pow N 4)
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)))
(pow N 4)
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)))
(pow N 4)
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)))
(pow N 4)
(*.f64 (fma.f64 N N #s(literal 0 binary64)) (fma.f64 N N #s(literal 0 binary64)))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
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(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow N 2)
(fma.f64 N N #s(literal 0 binary64))
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow N 2)
(fma.f64 N N #s(literal 0 binary64))
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))

eval388.0ms (3.5%)

Memory: 27.9MiB live, 405.3MiB allocated
Compiler: Compiled 96 402 to 6 422 computations (93.3% saved)

prune244.0ms (2.2%)

Memory

-7.2MiB live, 435.3MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	2 553	17	2 570
Fresh	11	11	22
Picked	2	3	5
Done	2	2	4
Total	2 568	33	2 601

Accuracy

100.0%

Counts

2 601 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 N N) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 (.f64 N N) (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal 2 binary64) #s(literal -1 binary64)))) (+.f64 N #s(literal 1 binary64))))
	47.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) (fma.f64 N N #s(literal 1 binary64)) #s(literal 1 binary64)))) N))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 N N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64))))
	77.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) N))
	97.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1/4 binary64) (fma.f64 N #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) N))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64))))
	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
	96.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
	93.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	77.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
	77.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))))
✓	77.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64))))))
✓	7.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(literal 1 binary64) (.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))))
	7.8%	(atan2.f64 #s(literal 1 binary64) N)
	93.2%	(/.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #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) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))))
	99.4%	(/.f64 (/.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)))) (/.f64 #s(literal 1 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) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))))
	99.5%	(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (-.f64 #s(literal 0 binary64) (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) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))))
	92.3%	(.f64 (pow.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	99.5%	(.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.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))))))
	96.4%	(*.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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	93.2%	(.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 (+.f64 N #s(literal 1 binary64)) #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))))))
	99.5%	(*.f64 (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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	98.9%	(.f64 (/.f64 (pow.f64 (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 -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (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 -1/2 binary64)) (/.f64 #s(literal 1 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) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))))))
	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
	99.5%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	99.0%	(.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)))) (pow.f64 (sqrt.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal 2 binary64)))
	93.1%	(*.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) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
	93.4%	(.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 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))))
	96.4%	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))

Compiler

Compiled 2 798 to 640 computations (77.1% saved)

regimes33.0ms (0.3%)

Memory

12.5MiB live, 51.6MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1/4 binary64) (fma.f64 N #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) N))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 N N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64))))
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(.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 (+.f64 N #s(literal 1 binary64)) #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 (+.f64 N #s(literal 1 binary64)) #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 (+.f64 N #s(literal 1 binary64)) #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.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 (+.f64 N #s(literal 1 binary64)) #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
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #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)

regimes5.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	N
2.0ms	(-.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)

regimes5.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N 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
96.3%	1	`N`
96.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.1%)

Memory

-64.9MiB live, 6.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
2.0ms	N

Results

Accuracy	Segments	Branch
93.1%	1	`N`
93.1%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
7.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
7.8%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
7.8%	1	`N`
7.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB 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(literal 1 binary64))

Outputs
(atan2.f64 #s(literal 1 binary64) #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
6.2%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
6.2%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify7.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB 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	15	39
1	20	39

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness881.0ms (7.9%)

Memory

-23.6MiB live, 575.7MiB allocated

Rules

14 196×	`accelerator-lowering-fma.f32`
14 196×	`accelerator-lowering-fma.f64`
13 244×	`accelerator-lowering-fma.f32`
13 244×	`accelerator-lowering-fma.f64`
10 354×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	2742
1	327	2710
2	710	2702
3	3226	2694
4	7437	2694
0	8607	2403
0	142	2745
1	381	2692
2	897	2670
3	3511	2600
0	8386	2275
0	6	16
1	40	16
2	280	16
3	2880	16
0	8338	16
0	60	2852
1	138	2844
2	223	2844
3	704	2844
4	3236	2844
5	6221	2844
0	8126	2491
0	29	248
1	178	240
2	1258	240
0	8191	210

Stop Event

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

Compiler

Compiled 155 to 81 computations (47.7% saved)

preprocess85.0ms (0.8%)

Memory: -6.4MiB live, 151.1MiB allocated
Compiler: Compiled 136 to 64 computations (52.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	26
1	25	24
2	51	23
3	90	23
4	145	23
5	214	23
6	268	23
7	299	23
8	342	23
9	357	23
10	365	23
0	6	7
1	11	7
2	15	7
3	21	7
4	29	7
5	44	7
6	76	7
7	101	7
8	143	7
9	158	7
10	166	7
0	166	7

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	21	18
4	29	18
5	44	18
6	76	18
7	101	18
8	143	18
9	158	18
10	166	18
0	166	18

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	189	186
5	335	186
6	381	186
7	420	186
8	475	186
9	490	186
10	498	186
0	498	186

Iter	Nodes	Cost
0	12	26
1	25	24
2	51	23
3	90	23
4	145	23
5	214	23
6	268	23
7	299	23
8	342	23
9	357	23
10	365	23
0	6	7
1	11	7
2	15	7
3	21	7
4	29	7
5	44	7
6	76	7
7	101	7
8	143	7
9	158	7
10	166	7
0	166	7

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	21	18
4	29	18
5	44	18
6	76	18
7	101	18
8	143	18
9	158	18
10	166	18
0	166	18

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	189	186
5	335	186
6	381	186
7	420	186
8	475	186
9	490	186
10	498	186
0	498	186

analyze2.0ms (0%)

sample1.9s (17.4%)

preprocess22.0ms (0.2%)

explain137.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize50.0ms (0.4%)

series1.0ms (0%)

rewrite309.0ms (2.8%)

simplify23.0ms (0.2%)

eval52.0ms (0.5%)

prune55.0ms (0.5%)

simplify603.0ms (5.4%)

localize151.0ms (1.4%)

series21.0ms (0.2%)

rewrite486.0ms (4.4%)

simplify408.0ms (3.7%)

eval471.0ms (4.2%)

prune340.0ms (3.1%)

simplify372.0ms (3.3%)

localize249.0ms (2.2%)

series12.0ms (0.1%)

rewrite488.0ms (4.4%)

simplify481.0ms (4.3%)

eval550.0ms (4.9%)

prune430.0ms (3.9%)

simplify495.0ms (4.5%)

localize174.0ms (1.6%)

series36.0ms (0.3%)

rewrite653.0ms (5.9%)

simplify440.0ms (4%)

eval388.0ms (3.5%)

prune244.0ms (2.2%)

regimes33.0ms (0.3%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify7.0ms (0.1%)

soundness881.0ms (7.9%)

preprocess85.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	26
1	25	24
2	51	23
3	90	23
4	145	23
5	214	23
6	268	23
7	299	23
8	342	23
9	357	23
10	365	23
0	6	7
1	11	7
2	15	7
3	21	7
4	29	7
5	44	7
6	76	7
7	101	7
8	143	7
9	158	7
10	166	7
0	166	7

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	21	18
4	29	18
5	44	18
6	76	18
7	101	18
8	143	18
9	158	18
10	166	18
0	166	18

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	189	186
5	335	186
6	381	186
7	420	186
8	475	186
9	490	186
10	498	186
0	498	186