Metrics for 2atan (example 3.5)

analyze4.0ms (0%)

Memory

-40.1MiB live, 2.3MiB 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)

sample1.7s (16.6%)

Memory

-43.9MiB live, 2 056.2MiB allocated

Samples

1.3s	7 479×	1	valid
72.0ms	384×	2	valid
33.0ms	393×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 871.0ms

ival-atan: 307.0ms (35.2% of total)

adjust: 194.0ms (22.3% of total)

const: 107.0ms (12.3% of total)

ival-add: 105.0ms (12.1% of total)

ival-sub: 80.0ms (9.2% of total)

ival->: 31.0ms (3.6% of total)

ival-<: 18.0ms (2.1% of total)

ival-and: 15.0ms (1.7% of total)

exact: 10.0ms (1.1% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

preprocess27.0ms (0.3%)

Memory

-22.3MiB live, 32.5MiB 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)))

explain133.0ms (1.3%)

Memory

29.4MiB live, 144.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	1	(4.823926508927331)	`(-.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	1

Confusion

	Predicted +	Predicted -
+	255	1
-	0	0

Precision

1.0

Recall

0.99609375

Confusion?

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

Precision?

1.0

Recall?

1.0

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

79.0ms	474×	1	valid
3.0ms	20×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-atan: 19.0ms (48% of total)

adjust: 10.0ms (25.3% of total)

ival-add: 5.0ms (12.6% of total)

ival-sub: 5.0ms (12.6% of total)

exact: 0.0ms (0% 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.8%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify11.0ms (0.1%)

Memory

-33.3MiB live, 8.7MiB 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)

localize40.0ms (0.4%)

Memory

13.8MiB 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	7.8%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

27.0ms	237×	1	valid
2.0ms	10×	2	valid
1.0ms	9×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-atan: 9.0ms (45.4% of total)

adjust: 5.0ms (25.2% of total)

ival-add: 3.0ms (15.1% of total)

ival-sub: 2.0ms (10.1% 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

2.1MiB live, 2.1MiB 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	@	0	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	-inf	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	inf	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	-inf	(+ N 1)

rewrite343.0ms (3.4%)

Memory

15.9MiB live, 405.7MiB 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))) (neg.f64 (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #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))) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(-.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (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))) (+.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 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 (.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))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) (.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal 1 binary64)) (.f64 N (*.f64 N N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N (.f64 N (.f64 N N)) (fma.f64 N N #s(literal 1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.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 N (-.f64 #s(literal 1 binary64) N))))) (neg.f64 (-.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal 1 binary64)) (.f64 N (.f64 N N)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) (neg.f64 (fma.f64 N (.f64 N N) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N (.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N N #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(*.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 N #s(literal 1 binary64)) (.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))
(*.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))
(.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 N N) (neg.f64 N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(*.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N (.f64 N N) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N N) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N)) (.f64 N (.f64 N (.f64 N N)))))
(.f64 (/.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))
(.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N (.f64 N N) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(.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 N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal 1 binary64)) (.f64 N (.f64 N N)))))
(.f64 (pow.f64 (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N N) #s(literal -1 binary64))))
(.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))

simplify20.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB 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)

eval131.0ms (1.3%)

Memory: -38.3MiB live, 48.6MiB allocated
Compiler: Compiled 9 485 to 916 computations (90.3% saved)

prune46.0ms (0.5%)

Memory

25.2MiB live, 64.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	277	10	287
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	278	10	288

Accuracy

99.8%

Counts

288 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
▶	99.5%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
	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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
	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) (+.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)))))
▶	99.5%	(.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.3%	(.f64 (/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (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))) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
	99.3%	(.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 #s(literal 1 binary64) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 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)))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Compiler

Compiled 742 to 258 computations (65.2% saved)

simplify570.0ms (5.6%)

Memory

16.8MiB live, 366.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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	(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	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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
✓	cost-diff	0	(+.f64 N (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	0	(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	320	(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	0	(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	cost-diff	15872	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #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	(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Rules

8 598×	`accelerator-lowering-fma.f32`
8 598×	`accelerator-lowering-fma.f64`
8 328×	`-lowering-.f32`
8 328×	`-lowering-.f64`
5 404×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	378
1	57	376
2	124	376
3	299	376
4	1486	376
5	2789	376
6	3112	376
7	3360	376
8	3471	376
9	3482	376
10	5649	376
11	6169	376
12	6263	376
13	6831	376
14	6880	376
15	6916	376
16	6952	376
17	6990	376
18	7030	376
19	7072	376
20	7116	376
0	11199	329

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize171.0ms (1.7%)

Memory

-28.5MiB live, 175.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
✓	accuracy	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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
✓	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	99.9%	(/.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
✓	accuracy	99.4%	(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	accuracy	99.5%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	100.0%	(fma.f64 N N N)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	accuracy	99.6%	(/.f64 #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) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))

Samples

48.0ms

256×

valid

Compiler

Compiled 446 to 27 computations (93.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 8.0ms (26.3% of total)

ival-div: 7.0ms (23% of total)

ival-add: 5.0ms (16.5% of total)

ival-atan2: 4.0ms (13.2% of total)

ival-atan: 3.0ms (9.9% of total)

ival-pow2: 2.0ms (6.6% of total)

ival-sub: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite729.0ms (7.2%)

Memory

14.5MiB live, 635.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 986×	`/-lowering-/.f32`
4 986×	`/-lowering-/.f64`
4 308×	`accelerator-lowering-fma.f32`
4 308×	`accelerator-lowering-fma.f64`
4 230×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	205
1	153	205
2	1258	205
0	8331	179

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1 301

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))) (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))))
(+.f64 (.f64 (.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))) (*.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(+.f64 (.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))) (.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1 binary64)))
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simplify387.0ms (3.8%)

Memory

1.0MiB live, 549.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 906×	`accelerator-lowering-fma.f32`
9 906×	`accelerator-lowering-fma.f64`
3 558×	`-lowering-.f32`
3 558×	`-lowering-.f64`
1 634×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	2466
1	125	2422
2	213	2422
3	723	2422
4	3323	2422
5	6289	2422
0	8089	2120

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval743.0ms (7.3%)

Memory: 49.5MiB live, 1 387.0MiB allocated
Compiler: Compiled 230 650 to 5 969 computations (97.4% saved)

prune414.0ms (4.1%)

Memory

-10.9MiB live, 1 161.8MiB allocated

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	3 788	29	3 817
Fresh	4	1	5
Picked	4	1	5
Done	0	0	0
Total	3 796	31	3 827

Accuracy

100.0%

Counts

3 827 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	77.8%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
	57.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N)))) N))
	77.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
	97.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
	57.1%	(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 (fma.f64 N N #s(literal 1 binary64)) N))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
▶	77.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
	8.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
	77.6%	(atan2.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
	93.5%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
▶	6.4%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	99.5%	(/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	99.5%	(/.f64 (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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))))
	97.2%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
▶	93.6%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.6%	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))))
	99.4%	(/.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	99.2%	(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -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) (+.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)))))
▶	99.3%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	97.2%	(.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 N N)) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	98.6%	(.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	93.6%	(.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.1%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (/.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))))
	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) (+.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)))))

Compiler

Compiled 1 663 to 657 computations (60.5% saved)

simplify224.0ms (2.2%)

Memory

-20.5MiB live, 344.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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	704	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	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 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	0	(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	cost-diff	0	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	cost-diff	0	(.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N)
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
✓	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 (fma.f64 N N #s(literal 1 binary64)) N)
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Rules

6 828×	`accelerator-lowering-fma.f32`
6 828×	`accelerator-lowering-fma.f64`
3 372×	`-lowering-.f32`
3 372×	`-lowering-.f64`
1 306×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	352
1	69	352
2	124	342
3	247	342
4	555	342
5	1531	342
6	2512	342
7	3657	342
8	4568	342
9	5080	342
10	5653	342
11	7529	342
0	8058	302

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize154.0ms (1.5%)

Memory

-6.0MiB live, 230.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	accuracy	99.5%	(/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	99.5%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	accuracy	99.5%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	99.5%	(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	99.7%	(.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N)
✓	accuracy	99.6%	(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
✓	accuracy	77.6%	(/.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
✓	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 (fma.f64 N N #s(literal 1 binary64)) N)
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Samples

56.0ms

256×

valid

Compiler

Compiled 357 to 32 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-atan2: 12.0ms (31.7% of total)

ival-add: 10.0ms (26.5% of total)

ival-mult: 7.0ms (18.5% of total)

ival-div: 5.0ms (13.2% of total)

ival-sub: 2.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

18 → 204

Calls

Call 1

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

Calls

51 calls:

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

rewrite477.0ms (4.7%)

Memory

30.7MiB live, 733.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 988×	`accelerator-lowering-fma.f32`
6 988×	`accelerator-lowering-fma.f64`
5 476×	`/-lowering-/.f32`
5 476×	`/-lowering-/.f64`
3 706×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	242
1	208	228
2	1710	228
0	8250	199

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 965

Calls

Call 1

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

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

simplify301.0ms (3%)

Memory

-38.1MiB live, 524.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 688×	`accelerator-lowering-fma.f32`
9 688×	`accelerator-lowering-fma.f64`
3 232×	`-lowering-.f32`
3 232×	`-lowering-.f64`
1 424×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	2456
1	192	2354
2	358	2354
3	1340	2354
4	5836	2354
0	8441	2075

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

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

eval296.0ms (2.9%)

Memory: 31.7MiB live, 420.0MiB allocated
Compiler: Compiled 59 151 to 3 393 computations (94.3% saved)

prune165.0ms (1.6%)

Memory

-15.1MiB live, 407.0MiB allocated

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	1 498	12	1 510
Fresh	5	20	25
Picked	3	2	5
Done	0	1	1
Total	1 506	35	1 541

Accuracy

100.0%

Counts

1 541 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	77.8%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
	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 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
	77.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 1 binary64)))
	97.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	97.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
▶	77.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
	77.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))) N))))
	75.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (-.f64 (*.f64 N N) N))))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
▶	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
	48.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.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 (fma.f64 N (.f64 (.f64 N N) (.f64 N (*.f64 N N))) #s(literal -1 binary64)) N)))))
▶	8.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
	77.6%	(atan2.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
	93.5%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
✓	6.4%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	99.5%	(/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	99.5%	(/.f64 (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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))))
	97.2%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
▶	99.6%	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))))
	99.4%	(/.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	97.2%	(.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 N N)) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	98.6%	(.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	93.6%	(.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	93.6%	(*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	93.4%	(*.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
▶	99.4%	(.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) (+.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)))))
	93.5%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Compiler

Compiled 1 674 to 701 computations (58.1% saved)

simplify221.0ms (2.2%)

Memory

-7.2MiB live, 306.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	cost-diff	0	(/.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
✓	cost-diff	12608	(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
✓	cost-diff	512	(/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
✓	cost-diff	0	(pow.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)))
✓	cost-diff	0	(.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	cost-diff	68736	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))))

Rules

7 980×	`accelerator-lowering-fma.f32`
7 980×	`accelerator-lowering-fma.f64`
4 078×	`-lowering-.f32`
4 078×	`-lowering-.f64`
2 612×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	667
1	104	665
2	224	395
3	573	393
4	2418	393
5	7962	393
0	8005	353

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize152.0ms (1.5%)

Memory

8.6MiB live, 203.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	accuracy	99.5%	(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	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)))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	accuracy	99.7%	(*.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)) N)
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
✓	accuracy	99.1%	(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64))
✓	accuracy	77.6%	(/.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
✓	accuracy	99.6%	(*.f64 (fma.f64 N N #s(literal -1 binary64)) N)
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
✓	accuracy	99.6%	(/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
✓	accuracy	99.4%	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))))
✓	accuracy	98.7%	(+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)))
✓	accuracy	97.7%	(pow.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64))
✓	accuracy	97.6%	(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))

Samples

81.0ms

256×

valid

Compiler

Compiled 495 to 47 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 18.0ms (29.8% of total)

ival-mult: 10.0ms (16.5% of total)

ival-pow: 10.0ms (16.5% of total)

ival-atan2: 9.0ms (14.9% of total)

ival-div: 7.0ms (11.6% of total)

ival-atan: 3.0ms (5% of total)

ival-sub: 2.0ms (3.3% of total)

exact: 1.0ms (1.7% of total)

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

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

series26.0ms (0.3%)

Memory

-13.8MiB live, 24.3MiB allocated

Counts

23 → 276

Calls

Call 1

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

Calls

69 calls:

Time	Variable		Point	Expression
6.0ms	N	@	0	(* (+ (pow (* (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))) (atan N)) 3) (pow (atan (+ 1 N)) 6)) (atan2 1 (+ 1 (+ (* N N) N))))
4.0ms	N	@	-inf	(* (+ (* (pow N 3/2) (pow N 3/2)) 1) N)
2.0ms	N	@	-inf	(* (+ (pow (* (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))) (atan N)) 3) (pow (atan (+ 1 N)) 6)) (atan2 1 (+ 1 (+ (* N N) N))))
2.0ms	N	@	inf	(* (+ (pow (* (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))) (atan N)) 3) (pow (atan (+ 1 N)) 6)) (atan2 1 (+ 1 (+ (* N N) N))))
1.0ms	N	@	-inf	(+ (* (pow N 3/2) (pow N 3/2)) 1)

rewrite529.0ms (5.2%)

Memory

29.3MiB live, 354.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 174×	`accelerator-lowering-fma.f32`
6 174×	`accelerator-lowering-fma.f64`
5 252×	`/-lowering-/.f32`
5 252×	`/-lowering-/.f64`
4 004×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	385
1	297	320
2	2562	294
0	8779	265

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1 136

Calls

Call 1

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

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

simplify526.0ms (5.2%)

Memory

-39.9MiB live, 363.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 810×	`accelerator-lowering-fma.f32`
16 810×	`accelerator-lowering-fma.f64`
3 372×	`-lowering-.f32`
3 372×	`-lowering-.f64`
1 330×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	3069
1	528	3020
2	1589	3007
3	5647	3007
0	8233	2705

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

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

eval341.0ms (3.4%)

Memory: 43.2MiB live, 349.1MiB allocated
Compiler: Compiled 81 321 to 4 485 computations (94.5% saved)

prune329.0ms (3.2%)

Memory

-17.1MiB live, 258.4MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1 908	11	1 919
Fresh	10	17	27
Picked	2	3	5
Done	1	2	3
Total	1 921	33	1 954

Accuracy

100.0%

Counts

1 954 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	77.8%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
	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 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (*.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 1 binary64)))
	97.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	97.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
	99.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
✓	77.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
	75.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (-.f64 (*.f64 N N) N))))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) N))))
	97.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (.f64 N (.f64 N N))))))
	99.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N (fma.f64 N N #s(literal -1 binary64)))) (+.f64 N #s(literal -1 binary64))))))
	77.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N (*.f64 N N)) N))))))
✓	8.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
	93.5%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
	8.0%	(atan2.f64 #s(literal 1 binary64) N)
	99.5%	(/.f64 (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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))))
	97.2%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	97.4%	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))))
	99.4%	(/.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	97.2%	(.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 N N)) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	98.6%	(.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	93.6%	(.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	93.6%	(*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	93.4%	(*.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
✓	99.4%	(.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) (+.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)))))
	93.5%	(.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Compiler

Compiled 2 394 to 564 computations (76.4% saved)

regimes42.0ms (0.4%)

Memory

-28.0MiB live, 35.5MiB allocated

Counts

63 → 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 N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (*.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (.f64 N (.f64 N N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (-.f64 (*.f64 N N) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(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))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (/.f64 #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 (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N (fma.f64 N N #s(literal -1 binary64)))) (+.f64 N #s(literal -1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N (*.f64 N N)) N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N)))) N))
(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)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.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 (fma.f64 N (.f64 (.f64 N N) (.f64 N (*.f64 N N))) #s(literal -1 binary64)) N)))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
(*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(.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))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.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 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 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) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(.f64 (atan2.f64 (+.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 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.f64 (/.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) (+.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))))) #s(literal -1 binary64)))
(.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (/.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (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))) (+.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 (pow.f64 (.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))))

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

Calls

2 calls:

27.0ms	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)

regimes7.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB 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 N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.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
97.2%	1	`N`
97.2%	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

3.6MiB live, 3.6MiB 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 N))

Outputs
(atan2.f64 #s(literal 1 binary64) (*.f64 N 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
93.5%	1	`N`
93.5%	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

6.5MiB live, 6.5MiB allocated

Counts

3 → 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))

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

Calls

2 calls:

2.0ms	N
1.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
8.0%	1	`N`
8.0%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB 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:

2.0ms	N
1.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
8.0%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
8.0%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (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
6.4%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
6.4%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify10.0ms (0.1%)

Memory

-26.1MiB live, 13.6MiB 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	14	42
1	19	42

Stop Event

1×

saturated

Calls

Call 1

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

soundness767.0ms (7.5%)

Memory

36.3MiB live, 466.4MiB allocated

Rules

16 810×	`accelerator-lowering-fma.f32`
16 810×	`accelerator-lowering-fma.f64`
9 906×	`accelerator-lowering-fma.f32`
9 906×	`accelerator-lowering-fma.f64`
4 024×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	2466
1	125	2422
2	213	2422
3	723	2422
4	3323	2422
5	6289	2422
0	8089	2120
0	6	16
1	40	16
2	280	16
3	2880	16
0	8338	16
0	185	3069
1	528	3020
2	1589	3007
3	5647	3007
0	8233	2705

Stop Event

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

Compiler

Compiled 131 to 67 computations (48.9% saved)

preprocess92.0ms (0.9%)

Memory: -8.3MiB live, 195.4MiB allocated
Compiler: Compiled 142 to 64 computations (54.9% 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

analyze4.0ms (0%)

sample1.7s (16.6%)

preprocess27.0ms (0.3%)

explain133.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize40.0ms (0.4%)

series1.0ms (0%)

rewrite343.0ms (3.4%)

simplify20.0ms (0.2%)

eval131.0ms (1.3%)

prune46.0ms (0.5%)

simplify570.0ms (5.6%)

localize171.0ms (1.7%)

series19.0ms (0.2%)

rewrite729.0ms (7.2%)

simplify387.0ms (3.8%)

eval743.0ms (7.3%)

prune414.0ms (4.1%)

simplify224.0ms (2.2%)

localize154.0ms (1.5%)

series11.0ms (0.1%)

rewrite477.0ms (4.7%)

simplify301.0ms (3%)

eval296.0ms (2.9%)

prune165.0ms (1.6%)

simplify221.0ms (2.2%)

localize152.0ms (1.5%)

series26.0ms (0.3%)

rewrite529.0ms (5.2%)

simplify526.0ms (5.2%)

eval341.0ms (3.4%)

prune329.0ms (3.2%)

regimes42.0ms (0.4%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify10.0ms (0.1%)

soundness767.0ms (7.5%)

preprocess92.0ms (0.9%)

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