Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.3MiB live, 3.3MiB 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)

sample1.9s (28.1%)

Memory

-15.5MiB live, 2 116.7MiB allocated

Samples

1.4s	7 505×	1	valid
74.0ms	372×	2	valid
26.0ms	379×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-atan: 352.0ms (27.6% of total)

adjust: 275.0ms (21.6% of total)

ival-add: 258.0ms (20.3% of total)

ival-sub: 204.0ms (16% of total)

const: 115.0ms (9% of total)

ival->: 24.0ms (1.9% of total)

ival-<: 23.0ms (1.8% of total)

ival-and: 12.0ms (0.9% of total)

exact: 8.0ms (0.6% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain217.0ms (3.3%)

Memory

-3.1MiB live, 109.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
251	1	(8.932490099138361)	-	`(-.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	252	0

Confusion

	Predicted +	Predicted -
+	251	0
-	1	4

Precision

0.996031746031746

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	0	0
-	1	0	4

Precision?

0.996031746031746

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms	470×	1	valid
3.0ms	18×	2	valid
1.0ms	24×	0	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-atan: 19.0ms (43.7% of total)

adjust: 14.0ms (32.2% of total)

ival-add: 5.0ms (11.5% of total)

ival-sub: 5.0ms (11.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess17.0ms (0.3%)

Memory

23.5MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.3%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.6%)

Memory

-9.5MiB live, 35.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0	(atan.f64 N)
accuracy	58.665449161910466	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

28.0ms	235×	1	valid
3.0ms	12×	0	valid
1.0ms	9×	2	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-atan: 9.0ms (44.2% of total)

adjust: 6.0ms (29.5% of total)

ival-add: 3.0ms (14.7% of total)

ival-sub: 2.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan.f64 N) #<representation binary64>) () ())) ())

Calls

3 calls:

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

simplify14.0ms (0.2%)

Memory

-31.8MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	187	186
5	333	186
6	381	186
7	418	186
8	472	186
9	487	186
10	495	186
0	495	186

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 46

Calls

Call 1

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

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

rewrite149.0ms (2.2%)

Memory

7.6MiB live, 195.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	44	16
2	284	16
3	2885	16
0	8353	16

Stop Event

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

Counts

4 → 239

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
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eval46.0ms (0.7%)

Memory: -24.8MiB live, 49.1MiB allocated
Compiler: Compiled 8 018 to 927 computations (88.4% saved)

prune8.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	283	2	285
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	284	2	286

Accuracy

99.6%

Counts

286 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))

Status

Accuracy

Program

▶

7.1%

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

▶

99.6%

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

Compiler

Compiled 74 to 27 computations (63.5% saved)

simplify128.0ms (1.9%)

Memory

6.0MiB live, 161.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(atan.f64 (+.f64 #s(literal 1 binary64) N))
cost-diff	0	(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
cost-diff	0	(/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	271
0	45	271
1	79	271
2	173	271
3	638	271
4	2550	271
5	6504	271
0	8211	271

Stop Event

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

Calls

Call 1

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

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

localize226.0ms (3.4%)

Memory

-13.8MiB live, 192.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.9473038086106522	(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
accuracy	0.9489250488422102	(pow.f64 (atan.f64 N) #s(literal 3 binary64))
accuracy	1.4274495611412623	(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))
accuracy	59.29585636158275	(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.0078125	(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy	0.25390625	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))

Samples

156.0ms	234×	1	valid
9.0ms	9×	2	valid
3.0ms	13×	0	valid

Compiler

Compiled 551 to 52 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-neg: 35.0ms (24.6% of total)

ival-pow2: 26.0ms (18.3% of total)

adjust: 18.0ms (12.7% of total)

ival-pow: 13.0ms (9.1% of total)

ival-mult: 13.0ms (9.1% of total)

ival-add: 12.0ms (8.4% of total)

ival-atan: 11.0ms (7.7% of total)

ival-div: 6.0ms (4.2% of total)

ival-sub: 4.0ms (2.8% of total)

ival-atan2: 3.0ms (2.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series29.0ms (0.4%)

Memory

12.0MiB live, 48.2MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (atan.f64 N) #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan.f64 (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (atan.f64 N) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (atan.f64 N) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (atan.f64 N) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (atan.f64 N) #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	N	@	inf	((atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (+ (* (/ (pow (atan (+ 1 N)) 3) (- (pow (atan (+ 1 N)) 4) (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 2))) (- (pow (atan (+ 1 N)) 2) (* (+ (atan N) (atan (+ 1 N))) (atan N)))) (neg (/ (pow (atan N) 3) (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))))) (/ (pow (atan (+ 1 N)) 3) (- (pow (atan (+ 1 N)) 4) (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 2))) (pow (atan (+ 1 N)) 3) (atan (+ 1 N)) (pow (atan (+ 1 N)) 4) (pow (atan N) 3))
6.0ms	N	@	-inf	((atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (+ (* (/ (pow (atan (+ 1 N)) 3) (- (pow (atan (+ 1 N)) 4) (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 2))) (- (pow (atan (+ 1 N)) 2) (* (+ (atan N) (atan (+ 1 N))) (atan N)))) (neg (/ (pow (atan N) 3) (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))))) (/ (pow (atan (+ 1 N)) 3) (- (pow (atan (+ 1 N)) 4) (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 2))) (pow (atan (+ 1 N)) 3) (atan (+ 1 N)) (pow (atan (+ 1 N)) 4) (pow (atan N) 3))
6.0ms	N	@	0	((atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (+ (* (/ (pow (atan (+ 1 N)) 3) (- (pow (atan (+ 1 N)) 4) (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 2))) (- (pow (atan (+ 1 N)) 2) (* (+ (atan N) (atan (+ 1 N))) (atan N)))) (neg (/ (pow (atan N) 3) (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))))) (/ (pow (atan (+ 1 N)) 3) (- (pow (atan (+ 1 N)) 4) (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 2))) (pow (atan (+ 1 N)) 3) (atan (+ 1 N)) (pow (atan (+ 1 N)) 4) (pow (atan N) 3))

Time

Variable

Point

Expression

11.0ms

inf

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

6.0ms

-inf

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

6.0ms

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

simplify143.0ms (2.2%)

Memory

21.5MiB live, 218.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	1612
1	159	1604
2	452	1604
3	1134	1604
4	4375	1604
0	8156	1572

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

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

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

rewrite210.0ms (3.2%)

Memory

-2.1MiB live, 392.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	129
0	45	129
1	200	129
2	1507	127
0	8375	127

Stop Event

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

Counts

9 → 852

Calls

Call 1

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

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eval349.0ms (5.2%)

Memory: 26.4MiB live, 718.8MiB allocated
Compiler: Compiled 145 315 to 3 663 computations (97.5% saved)

prune42.0ms (0.6%)

Memory

-15.0MiB live, 95.8MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1 266	14	1 280
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1 268	14	1 282

Accuracy

99.8%

Counts

1 282 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N))) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N #s(literal 1 binary64)))
▶	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	82.5%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
	55.6%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
▶	82.5%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
▶	96.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	93.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
▶	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 492 to 282 computations (42.7% saved)

simplify205.0ms (3.1%)

Memory

7.7MiB live, 163.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))))
cost-diff	7040	(/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 N N))
cost-diff	0	(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
cost-diff	7296	(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 N N N)
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 N N N)
cost-diff	0	(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	28	215
0	49	181
1	77	181
2	151	177
3	400	177
4	1163	170
5	2368	170
6	5239	158
0	8439	158

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.6%)

Memory

-7.7MiB live, 106.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
accuracy	0.4108200195368841	(pow.f64 (fma.f64 N N N) #s(literal 2 binary64))
accuracy	11.18883854854953	(/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	0	(*.f64 N N)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (*.f64 N N))
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
accuracy	0.296875	(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
accuracy	0	(fma.f64 N N N)
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
accuracy	1.595525441214378	#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy	59.195013417322265	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy	0	(fma.f64 N N N)
accuracy	0	(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))

Samples

86.0ms	253×	0	valid
3.0ms	3×	5	exit

Compiler

Compiled 434 to 58 computations (86.6% saved)

Precisions

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

ival-atan2: 22.0ms (36.7% of total)

ival-add: 13.0ms (21.7% of total)

ival-mult: 8.0ms (13.3% of total)

ival-pow: 6.0ms (10% of total)

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

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

ival-pow2: 2.0ms (3.3% of total)

adjust: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory

-15.7MiB live, 30.5MiB allocated

Counts

17 → 204

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 N N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 N N)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (*.f64 N N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (*.f64 N N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (*.f64 N N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify157.0ms (2.4%)

Memory

4.8MiB live, 81.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1385
1	305	1371
2	693	1350
3	2826	1332
0	8444	1220

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 201

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

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

rewrite263.0ms (3.9%)

Memory

-14.3MiB live, 105.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	176
0	49	134
1	204	119
2	1392	119
0	8437	118

Stop Event

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

Counts

17 → 1 116

Calls

Call 1

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

Outputs
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval397.0ms (6%)

Memory: -17.7MiB live, 201.4MiB allocated
Compiler: Compiled 39 652 to 3 924 computations (90.1% saved)

prune99.0ms (1.5%)

Memory

3.0MiB live, 90.8MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 506	13	1 519
Fresh	9	0	9
Picked	2	3	5
Done	0	0	0
Total	1 517	16	1 533

Accuracy

99.8%

Counts

1 533 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	82.5%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)))))
	82.5%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (.f64 (+.f64 N #s(literal 1 binary64)) (.f64 N (fma.f64 N N N))) #s(literal 1 binary64)))))
	81.6%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
▶	93.2%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
	97.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (-.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1))) (-.f64 N #s(literal -1 binary64))))
	93.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1))) (*.f64 N N)))
✓	96.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	96.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))))
▶	96.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
	96.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 (+.f64 N #s(literal 1 binary64)) N)))
✓	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
▶	99.5%	#s(approx (atan2 1 (+ (* (* (- 1 (* N N)) (pow (- 1 N) -1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 615 to 380 computations (38.2% saved)

simplify259.0ms (3.9%)

Memory

0.3MiB live, 194.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 N N #s(literal -1 binary64))
cost-diff	0	(fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
cost-diff	7168	(*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) N) N)
cost-diff	0	#s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
cost-diff	0	(*.f64 N N)
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
cost-diff	128	(+.f64 (*.f64 N N) N)
cost-diff	0	(-.f64 N #s(literal -1 binary64))
cost-diff	0	#s(approx (/ 1 (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1))) (-.f64 N #s(literal -1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1))) (-.f64 N #s(literal -1 binary64))))
cost-diff	0	(/.f64 N (-.f64 N #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (atan2 1 (+ (* (* (- 1 (* N N)) (pow (- 1 N) -1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))))
cost-diff	1088	(fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	300
0	66	289
1	115	284
2	256	258
3	762	229
4	3747	200
5	7408	200
0	8158	197

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1.6%)

Memory

29.2MiB live, 227.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	0	(-.f64 N #s(literal 1 binary64))
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
accuracy	0.296875	(*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0.2421875	(/.f64 (/.f64 #s(literal 1 binary64) N) N)
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N)))
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
accuracy	3.6745084883186263	#s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))
accuracy	0	(*.f64 N N)
accuracy	0.04296875	(+.f64 (*.f64 N N) N)
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
accuracy	1.595525441214378	#s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N))
accuracy	0	(-.f64 N #s(literal -1 binary64))
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1))) (-.f64 N #s(literal -1 binary64))))
accuracy	58.205775671363625	#s(approx (/ 1 (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1))) (-.f64 N #s(literal -1 binary64)))
accuracy	0	(-.f64 N #s(literal 1 binary64))
accuracy	0	#s(approx (atan2 1 (+ (* (* (- 1 (* N N)) (pow (- 1 N) -1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))))
accuracy	0.09375	(fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)))

Samples

75.0ms	253×	0	valid
6.0ms	3×	5	exit

Compiler

Compiled 561 to 87 computations (84.5% saved)

Precisions

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

ival-mult: 12.0ms (20% of total)

ival-add: 11.0ms (18.4% of total)

ival-div: 8.0ms (13.4% of total)

ival-pow: 8.0ms (13.4% of total)

ival-sub: 7.0ms (11.7% of total)

ival-atan2: 7.0ms (11.7% of total)

ival-pow2: 4.0ms (6.7% of total)

adjust: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

2.6MiB live, 39.3MiB allocated

Counts

21 → 252

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (atan2 1 (+ (* (* (- 1 (* N N)) (pow (- 1 N) -1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (atan2 1 (+ (* (* (- 1 (* N N)) (pow (- 1 N) -1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (atan2 1 (+ (* (* (- 1 (* N N)) (pow (- 1 N) -1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (atan2 1 (+ (* (* (- 1 (* N N)) (pow (- 1 N) -1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (*.f64 N N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) N) N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) N) N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) N) N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) N) N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 N N #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 N N #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 N N #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 N N #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify147.0ms (2.2%)

Memory

-3.2MiB live, 163.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	2016
1	325	1942
2	731	1859
3	3155	1547
0	8567	1410

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 245

Calls

Call 1

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

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

rewrite181.0ms (2.7%)

Memory

-27.6MiB live, 290.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	277
0	66	266
1	298	169
2	2449	169
0	8788	163

Stop Event

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

Counts

21 → 1 333

Calls

Call 1

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

Outputs
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eval404.0ms (6.1%)

Memory: 40.7MiB live, 822.8MiB allocated
Compiler: Compiled 58 868 to 5 714 computations (90.3% saved)

prune78.0ms (1.2%)

Memory

-33.1MiB live, 175.5MiB allocated

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1 854	8	1 862
Fresh	4	4	8
Picked	2	3	5
Done	0	3	3
Total	1 860	18	1 878

Accuracy

99.8%

Counts

1 878 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 (-.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
	93.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) #s(approx (pow (- N 1) -1) (/.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
	82.5%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)))))
	93.5%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (pow.f64 N #s(literal -2 binary64)))))
	97.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) N))))
✓	93.2%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1))) (-.f64 N #s(literal -1 binary64))))
	93.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ (+ (* (+ N 1) N) -1) (- (pow (+ (* N N) N) 2) 1))) (*.f64 N N)))
✓	96.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	96.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))))
	96.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)) N)))
✓	96.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
	96.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
✓	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
	96.4%	#s(approx (atan2 1 (+ (* (* (- 1 (* N N)) (pow (- 1 N) -1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) #s(approx (+ (* N N) -1) (*.f64 N N)) #s(literal 1 binary64))))
	99.4%	#s(approx (atan2 1 (+ (* (* (- 1 (* N N)) (pow (- 1 N) -1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 1 195 to 442 computations (63% saved)

regimes22.0ms (0.3%)

Memory

13.8MiB live, 50.8MiB allocated

Counts

38 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	N
8.0ms	(-.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 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.5%	1	`N`
96.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

-24.5MiB live, 13.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
93.3%	1	`N`
93.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

7.9MiB live, 7.9MiB 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(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
6.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify29.0ms (0.4%)

Memory

-14.0MiB live, 67.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	59
1	25	59
2	28	59
3	29	59
4	30	59

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness549.0ms (8.3%)

Memory

-14.0MiB live, 443.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	1612
1	159	1604
2	452	1604
3	1134	1604
4	4375	1604
0	8156	1572
0	24	129
0	45	129
1	200	129
2	1507	127
0	8375	127
0	6	16
0	10	16
1	44	16
2	284	16
3	2885	16
0	8353	16

Stop Event

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

Compiler

Compiled 169 to 84 computations (50.3% saved)

preprocess65.0ms (1%)

Memory: 1.5MiB live, 119.0MiB allocated
Compiler: Compiled 148 to 62 computations (58.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	187	186
5	333	186
6	381	186
7	418	186
8	472	186
9	487	186
10	495	186
0	495	186

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	187	186
5	333	186
6	381	186
7	418	186
8	472	186
9	487	186
10	495	186
0	495	186

start0.0ms (0%)

analyze2.0ms (0%)

sample1.9s (28.1%)

explain217.0ms (3.3%)

preprocess17.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize40.0ms (0.6%)

series2.0ms (0%)

simplify14.0ms (0.2%)

rewrite149.0ms (2.2%)

eval46.0ms (0.7%)

prune8.0ms (0.1%)

simplify128.0ms (1.9%)

localize226.0ms (3.4%)

series29.0ms (0.4%)

simplify143.0ms (2.2%)

rewrite210.0ms (3.2%)

eval349.0ms (5.2%)

prune42.0ms (0.6%)

simplify205.0ms (3.1%)

localize109.0ms (1.6%)

series44.0ms (0.7%)

simplify157.0ms (2.4%)

rewrite263.0ms (3.9%)

eval397.0ms (6%)

prune99.0ms (1.5%)

simplify259.0ms (3.9%)

localize104.0ms (1.6%)

series18.0ms (0.3%)

simplify147.0ms (2.2%)

rewrite181.0ms (2.7%)

eval404.0ms (6.1%)

prune78.0ms (1.2%)

regimes22.0ms (0.3%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

simplify29.0ms (0.4%)

soundness549.0ms (8.3%)

preprocess65.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	187	186
5	333	186
6	381	186
7	418	186
8	472	186
9	487	186
10	495	186
0	495	186