Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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 (28.7%)

Memory

46.1MiB live, 1 607.2MiB allocated

Samples

1.4s	7 452×	1	valid
98.0ms	398×	2	valid
39.0ms	406×	0	valid

Precisions

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

ival-atan: 651.0ms (49.9% of total)

adjust: 230.0ms (17.6% of total)

ival-add: 155.0ms (11.9% of total)

const: 111.0ms (8.5% of total)

ival-sub: 93.0ms (7.1% of total)

ival->: 22.0ms (1.7% of total)

ival-<: 22.0ms (1.7% of total)

ival-and: 11.0ms (0.8% of total)

exact: 7.0ms (0.5% of total)

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

Bogosity

explain197.0ms (2.9%)

Memory

-25.1MiB live, 132.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`	cancellation	255	0

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms	470×	1	valid
5.0ms	30×	2	valid
1.0ms	12×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-atan: 56.0ms (71.2% of total)

adjust: 12.0ms (15.3% of total)

ival-add: 5.0ms (6.4% of total)

ival-sub: 4.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess17.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB 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 N #s(literal 1 binary64))) (atan.f64 N))
(-.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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.0%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify25.0ms (0.4%)

Memory

-42.0MiB live, 5.6MiB 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 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
N
#s(literal 1 binary64)
(atan.f64 N)

localize41.0ms (0.6%)

Memory

4.3MiB live, 80.1MiB 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	59.54738058881169	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

27.0ms	235×	1	valid
5.0ms	15×	2	valid
0.0ms	6×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-atan: 11.0ms (47.5% of total)

adjust: 7.0ms (30.2% of total)

ival-add: 3.0ms (12.9% of total)

ival-sub: 2.0ms (8.6% 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

3.9MiB live, 3.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

simplify13.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB 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	189	186
5	335	186
6	383	186
7	420	186
8	474	186
9	489	186
10	497	186
0	497	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
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan (- 1 (* -1 N)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (- 1 (* -1 N)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (- 1 (* -1 N)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (- 1 (* -1 N)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)

rewrite174.0ms (2.6%)

Memory

-20.4MiB live, 291.0MiB 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
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (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 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (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 9 binary64)) (pow.f64 (atan.f64 N) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (atan.f64 N) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 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))))
(.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (-.f64 (.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 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))))
(*.f64 (pow.f64 (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))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (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))) #s(literal -1 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (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)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (/.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)))
(*.f64 (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 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (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 (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 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (pow.f64 (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))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (pow.f64 (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))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(pow.f64 (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (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 (neg.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (pow.f64 (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))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 9 binary64)) (pow.f64 (atan.f64 N) #s(literal 9 binary64))) (pow.f64 (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))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) 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)))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) 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)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) 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)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) 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)))) #s(literal 2 binary64)) (+.f64 (pow.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)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) 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)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (.f64 N N)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)) (/.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (.f64 N N)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 N #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(neg.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(fma.f64 (/.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) N) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 N N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) #s(literal -1 binary64)))
(pow.f64 (atan.f64 N) #s(literal 1 binary64))
(atan.f64 N)
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (atan.f64 N)))

eval39.0ms (0.6%)

Memory: 14.3MiB live, 94.2MiB allocated
Compiler: Compiled 7 832 to 922 computations (88.2% saved)

prune28.0ms (0.4%)

Memory

0.8MiB live, 79.3MiB 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

99.5%

Counts

286 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
▶	6.9%	(/.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))) (fma.f64 (atan.f64 N) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))

Status

Accuracy

Program

▶

99.5%

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

▶

6.9%

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

Compiler

Compiled 41 to 22 computations (46.3% saved)

simplify165.0ms (2.4%)

Memory

9.4MiB live, 90.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
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)))
cost-diff	0	(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64)))
cost-diff	0	(/.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))) (fma.f64 (atan.f64 N) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
cost-diff	6080	(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	141
0	35	141
1	49	141
2	74	137
3	137	137
4	297	137
5	605	137
6	1076	137
7	1479	137
8	2409	137
9	3344	137
10	4168	137
11	4482	137
12	4512	137
13	4512	137
14	4894	137
15	5074	137
16	5074	137
17	5074	137
0	5074	137

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize172.0ms (2.5%)

Memory

-30.4MiB live, 177.4MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.3046875	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
accuracy	0.42806625976844204	(/.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))) (fma.f64 (atan.f64 N) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
accuracy	1.4427808599834715	(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))
accuracy	1.4551633795203553	(pow.f64 (atan.f64 N) #s(literal 4 binary64))
accuracy	59.46682565680561	(-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64)))

Samples

146.0ms	239×	1	valid
3.0ms	5×	2	valid
2.0ms	12×	0	valid

Compiler

Compiled 147 to 23 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

adjust: 60.0ms (50.6% of total)

ival-pow: 17.0ms (14.3% of total)

ival-atan: 10.0ms (8.4% of total)

ival-add: 8.0ms (6.7% of total)

ival-mult: 8.0ms (6.7% of total)

ival-pow2: 4.0ms (3.4% of total)

ival-div: 3.0ms (2.5% of total)

ival-sub: 3.0ms (2.5% of total)

ival-atan2: 3.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	N	@	-inf	((* (- (pow (atan (+ 1 N)) 4) (pow (atan N) 4)) (pow (+ (atan N) (atan (+ 1 N))) -1)) (/ (* (- (pow (atan (+ 1 N)) 4) (pow (atan N) 4)) (pow (+ (atan N) (atan (+ 1 N))) -1)) (+ (* (atan N) (atan N)) (pow (atan (+ 1 N)) 2))) (- (pow (atan (+ 1 N)) 4) (pow (atan N) 4)) (pow (atan (+ 1 N)) 4) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (pow (atan N) 4))
4.0ms	N	@	inf	((* (- (pow (atan (+ 1 N)) 4) (pow (atan N) 4)) (pow (+ (atan N) (atan (+ 1 N))) -1)) (/ (* (- (pow (atan (+ 1 N)) 4) (pow (atan N) 4)) (pow (+ (atan N) (atan (+ 1 N))) -1)) (+ (* (atan N) (atan N)) (pow (atan (+ 1 N)) 2))) (- (pow (atan (+ 1 N)) 4) (pow (atan N) 4)) (pow (atan (+ 1 N)) 4) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (pow (atan N) 4))
3.0ms	N	@	0	((* (- (pow (atan (+ 1 N)) 4) (pow (atan N) 4)) (pow (+ (atan N) (atan (+ 1 N))) -1)) (/ (* (- (pow (atan (+ 1 N)) 4) (pow (atan N) 4)) (pow (+ (atan N) (atan (+ 1 N))) -1)) (+ (* (atan N) (atan N)) (pow (atan (+ 1 N)) 2))) (- (pow (atan (+ 1 N)) 4) (pow (atan N) 4)) (pow (atan (+ 1 N)) 4) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (pow (atan N) 4))

Time

Variable

Point

Expression

5.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

simplify112.0ms (1.6%)

Memory

-17.9MiB live, 136.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	1060
1	127	1052
2	311	1052
3	733	1052
4	2775	1052
5	6010	1052
0	8079	1032

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite143.0ms (2.1%)

Memory

27.4MiB live, 222.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	35	92
1	139	88
2	910	78
0	8420	78

Stop Event

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

Counts

8 → 453

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 8 binary64)) (pow.f64 (atan.f64 N) #s(literal 8 binary64))) (-.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 4 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 8 binary64)) (pow.f64 (atan.f64 N) #s(literal 8 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 4 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 12 binary64)) (pow.f64 (atan.f64 N) #s(literal 12 binary64))) (-.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 8 binary64))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 8 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 12 binary64)) (pow.f64 (atan.f64 N) #s(literal 12 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 8 binary64))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 8 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (atan.f64 N) (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 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (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 -1 binary64))))
(*.f64 (/.f64 (fma.f64 (atan.f64 N) (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)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (pow.f64 (fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 8 binary64)) (pow.f64 (atan.f64 N) #s(literal 8 binary64)))) (pow.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 4 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 12 binary64)) (pow.f64 (atan.f64 N) #s(literal 12 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 8 binary64))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 N N N)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #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 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) #s(literal -1 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))))
(fma.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) N) (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 N N))) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) N N) (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))) (*.f64 N N))
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) N))) (.f64 N N))
(fma.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 N N))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (.f64 N N))
(fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 N N))
(fma.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)) (*.f64 N N))
(fma.f64 (fma.f64 N N N) #s(literal 1 binary64) #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)) #s(literal 1 binary64) (*.f64 N N))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(fma.f64 N #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (+.f64 N #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)) (*.f64 N N))
(fma.f64 #s(literal 1 binary64) N (fma.f64 N N #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(-.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))) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)
(+.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))) (neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 N N))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(*.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (-.f64 #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) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(*.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)))
(*.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N)) (/.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N)) (/.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.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)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.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)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))
(neg.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(*.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (atan.f64 N))
(*.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))
(*.f64 (atan.f64 N) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (atan.f64 N)))
(pow.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (atan.f64 N) #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (atan.f64 N) #s(literal 4 binary64))))

eval128.0ms (1.9%)

Memory: 11.9MiB live, 250.3MiB allocated
Compiler: Compiled 28 086 to 2 050 computations (92.7% saved)

prune121.0ms (1.8%)

Memory

-24.1MiB live, 210.8MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	682	15	697
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	684	15	699

Accuracy

99.8%

Counts

699 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.9%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) N N) (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	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)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #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)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
	75.1%	(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))))
	53.2%	(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	75.0%	(atan2.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶	97.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	7.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	94.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
▶	6.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 428 to 254 computations (40.7% saved)

simplify194.0ms (2.9%)

Memory

29.7MiB live, 304.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.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)))
cost-diff	0	(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)))
cost-diff	192	(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))
cost-diff	320	(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))
cost-diff	320	(-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))
cost-diff	768	(/.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)))
cost-diff	1216	(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))
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 #s(literal 1 binary64))
cost-diff	0	(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	248
0	55	202
1	104	198
2	219	190
3	699	188
4	2558	188
5	7768	188
0	8026	186

Stop Event

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

Calls

Call 1

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

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

localize260.0ms (3.8%)

Memory

-15.4MiB live, 199.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	0.01171875	(fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.2734375	(/.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)))
accuracy	0.3046875	(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)))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))
accuracy	0.24609375	(/.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)))
accuracy	0.2734375	(.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N))
accuracy	0.3046875	(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)))
accuracy	0	(fma.f64 N N N)
accuracy	0.3046875	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
accuracy	1.258483296569893	#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
accuracy	0.3046875	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy	59.99605752064481	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy	0	(fma.f64 N N #s(literal 1 binary64))
accuracy	0.02734375	(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
accuracy	0.3046875	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))

Samples

240.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 248 to 32 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-sub: 142.0ms (72.7% of total)

ival-mult: 32.0ms (16.4% of total)

ival-add: 9.0ms (4.6% of total)

ival-atan2: 6.0ms (3.1% of total)

ival-div: 3.0ms (1.5% of total)

ival-pow: 3.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

-1.0MiB live, 37.2MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

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

3.0ms

inf

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

3.0ms

-inf

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

simplify146.0ms (2.2%)

Memory

-8.9MiB live, 191.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	1771
1	385	1745
2	1041	1687
3	3905	1630
0	8544	1497

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

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

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

rewrite201.0ms (3%)

Memory

17.7MiB live, 331.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	226
0	55	163
1	240	157
2	1974	133
0	8632	133

Stop Event

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

Counts

20 → 992

Calls

Call 1

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

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

eval245.0ms (3.6%)

Memory: 19.8MiB live, 326.2MiB allocated
Compiler: Compiled 31 720 to 3 314 computations (89.6% saved)

prune120.0ms (1.8%)

Memory

-14.5MiB live, 258.1MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 214	13	1 227
Fresh	7	3	10
Picked	2	3	5
Done	0	0	0
Total	1 223	19	1 242

Accuracy

99.8%

Counts

1 242 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64)))
▶	94.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (* N (- N 1)) 1) (*.f64 N N))) N #s(literal 1 binary64)))
	98.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (- (* 1 (- 1 N)) (* (- 1 N) (* N N))) (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
▶	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	75.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
	74.9%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))))))
	97.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) (*.f64 N N))))
▶	7.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) #s(literal 1 binary64))))
	94.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (- (* 1 (- 1 N)) (* (- 1 N) (* N N))) (* (- 1 N) (- 1 N))) N) 1) (*.f64 N N)))
✓	97.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
▶	73.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N))))
	97.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N))))
	97.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 N (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
	97.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) N))))
✓	6.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
▶	99.5%	#s(approx (atan2 1 (+ (* (/ (- (* 1 (- 1 N)) (* (- 1 N) (* N N))) (* (- 1 N) (- 1 N))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) N)) N #s(literal 1 binary64))))

Compiler

Compiled 483 to 304 computations (37.1% saved)

simplify185.0ms (2.7%)

Memory

0.0MiB live, 244.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (* N (- N 1)) 1) (*.f64 N N)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (* N (- N 1)) 1) (*.f64 N N))) N #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (* N (- N 1)) 1) (*.f64 N N))) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N))))
cost-diff	128	(.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N N)))
cost-diff	1408	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) N))
cost-diff	7168	(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N))
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)) (/.f64 #s(literal 1 binary64) (-.f64 N #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)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
cost-diff	1408	(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* N N) 1) #s(literal 1 binary64))
cost-diff	0	(+.f64 N #s(approx (+ (* N N) 1) #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) N)) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) N)) N #s(literal 1 binary64)))
cost-diff	0	#s(approx (atan2 1 (+ (* (/ (- (* 1 (- 1 N)) (* (- 1 N) (* N N))) (* (- 1 N) (- 1 N))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) N)) N #s(literal 1 binary64))))
cost-diff	2112	(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) N))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	404
0	84	411
1	154	409
2	387	335
3	1312	266
4	4673	265
0	8256	255

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (1.7%)

Memory

16.1MiB live, 219.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	0.26953125	(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (* N (- N 1)) 1) (*.f64 N N)))
accuracy	0.3046875	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (* N (- N 1)) 1) (*.f64 N N))) N #s(literal 1 binary64)))
accuracy	3.245933312770908	#s(approx (+ (* N (- N 1)) 1) (*.f64 N N))
accuracy	0.2734375	(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N))
accuracy	0.3046875	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N))))
accuracy	1.258483296569893	#s(approx (+ (* (+ 1 N) N) 1) (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N)))
accuracy	15.329132113128908	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) N))
accuracy	0	(/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))
accuracy	0	(-.f64 N #s(literal 1 binary64))
accuracy	0.296875	(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
accuracy	0.3046875	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
accuracy	0.02734375	(+.f64 N #s(approx (+ (* N N) 1) #s(literal 1 binary64)))
accuracy	0.3046875	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) #s(literal 1 binary64))))
accuracy	59.76577733234053	#s(approx (+ (* N N) 1) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) N)
accuracy	0	#s(approx (atan2 1 (+ (* (/ (- (* 1 (- 1 N)) (* (- 1 N) (* N N))) (* (- 1 N) (- 1 N))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) N)) N #s(literal 1 binary64))))
accuracy	0.0546875	(*.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) N)
accuracy	0.3046875	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) N)) N #s(literal 1 binary64)))

Samples

85.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 335 to 50 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 18.0ms (26.1% of total)

ival-atan2: 15.0ms (21.7% of total)

ival-add: 14.0ms (20.3% of total)

ival-div: 13.0ms (18.8% of total)

ival-sub: 5.0ms (7.2% of total)

ival-pow: 3.0ms (4.3% of total)

adjust: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory

3.6MiB live, 41.6MiB allocated

Counts

25 → 300

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

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

3.0ms

-inf

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

3.0ms

inf

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

simplify133.0ms (2%)

Memory

-16.2MiB live, 136.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	2815
1	541	2763
2	1458	2568
3	5541	1884
0	8474	1725

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 290

Calls

Call 1

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

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

rewrite213.0ms (3.1%)

Memory

-23.7MiB live, 235.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	354
0	84	353
1	357	224
2	3139	221
0	9290	210

Stop Event

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

Counts

25 → 1 414

Calls

Call 1

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

Outputs
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (neg.f64 N)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
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(-.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))
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(-.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64))) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
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(-.f64 #s(literal 1 binary64) N)
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(*.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 N #s(literal 1 binary64)))
(/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))
(neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 N))))
#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
#s(approx (+ (* N (- N 1)) 1) (*.f64 N N))

eval360.0ms (5.3%)

Memory: 45.0MiB live, 342.8MiB allocated
Compiler: Compiled 55 707 to 8 090 computations (85.5% saved)

prune407.0ms (6%)

Memory

-39.3MiB live, 350.7MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	2 069	15	2 084
Fresh	4	7	11
Picked	4	1	5
Done	0	3	3
Total	2 077	26	2 103

Accuracy

99.8%

Counts

2 103 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
	94.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) #s(approx (+ ( N (- N 1)) 1) (*.f64 N N))) N #s(literal 1 binary64)))
	98.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (- (* 1 (- 1 N)) (* (- 1 N) (* N N))) (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))))) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) N #s(literal 1 binary64)))
	94.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) #s(approx (/ 1 (- N 1)) (/.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
	97.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	75.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
	74.9%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))))))
	97.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) (*.f64 N N))))
✓	7.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) #s(literal 1 binary64))))
	94.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (- (* 1 (- 1 N)) (* (- 1 N) (* N N))) (* (- 1 N) (- 1 N))) N) 1) (*.f64 N N)))
✓	97.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	61.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 N N)))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) (+.f64 N #s(literal 1 binary64)))) N) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N))))
	73.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (/.f64 (.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) N) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N))))
	97.5%	(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)))))
	73.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 (/.f64 (.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) N) (-.f64 #s(literal 1 binary64) (.f64 N N))) (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N))))
	97.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N))))
	98.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 #s(approx (/ (* (* (- 1 N) (- 1 (* N N))) N) (- 1 N)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
	97.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 N (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
	97.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 N (-.f64 N #s(literal 1 binary64))))))
	97.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) (/.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64))))))
✓	6.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
	99.2%	#s(approx (atan2 1 (+ (* (/ (- (* 1 (- 1 N)) (* (- 1 N) (* N N))) (* (- 1 N) (- 1 N))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 (/.f64 N (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 N N))))) N)) N #s(literal 1 binary64))))

Compiler

Compiled 1 196 to 478 computations (60% saved)

regimes23.0ms (0.3%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

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

Calls

2 calls:

12.0ms	N
9.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.5%	1	`N`
99.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes34.0ms (0.5%)

Memory

-34.2MiB live, 5.2MiB allocated

Counts

7 → 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) (+.f64 N #s(approx (+ (* N N) 1) #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 (- 1 N)) (* (- 1 N) (* N N))) (* (- 1 N) (- 1 N))) N) 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) (+.f64 N #s(approx (+ (* N N) 1) (*.f64 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
2.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
97.6%	1	`N`
97.6%	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

4.4MiB live, 4.4MiB 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) (+.f64 N #s(approx (+ (* N N) 1) #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 (- 1 N)) (* (- 1 N) (* N N))) (* (- 1 N) (- 1 N))) N) 1) (*.f64 N N)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.5%	1	`N`
94.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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) (+.f64 N #s(approx (+ (* N N) 1) #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
7.8%	1	`N`
7.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

3.0MiB live, 3.0MiB 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
6.3%	1	`N`
6.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify20.0ms (0.3%)

Memory

22.9MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	59
1	26	59
2	29	59
3	30	59
4	31	59

Stop Event

1×

saturated

Calls

Call 1

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

soundness649.0ms (9.6%)

Memory

-8.5MiB live, 299.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	1060
1	127	1052
2	311	1052
3	733	1052
4	2775	1052
5	6010	1052
0	8079	1032
0	19	92
0	35	92
1	139	88
2	910	78
0	8420	78
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 141 to 81 computations (42.6% saved)

preprocess78.0ms (1.2%)

Memory: -16.1MiB live, 110.4MiB allocated
Compiler: Compiled 92 to 56 computations (39.1% 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	189	186
5	335	186
6	383	186
7	420	186
8	474	186
9	489	186
10	497	186
0	497	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	189	186
5	335	186
6	383	186
7	420	186
8	474	186
9	489	186
10	497	186
0	497	186

start0.0ms (0%)

analyze2.0ms (0%)

sample1.9s (28.7%)

explain197.0ms (2.9%)

preprocess17.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify25.0ms (0.4%)

localize41.0ms (0.6%)

series2.0ms (0%)

simplify13.0ms (0.2%)

rewrite174.0ms (2.6%)

eval39.0ms (0.6%)

prune28.0ms (0.4%)

simplify165.0ms (2.4%)

localize172.0ms (2.5%)

series16.0ms (0.2%)

simplify112.0ms (1.6%)

rewrite143.0ms (2.1%)

eval128.0ms (1.9%)

prune121.0ms (1.8%)

simplify194.0ms (2.9%)

localize260.0ms (3.8%)

series18.0ms (0.3%)

simplify146.0ms (2.2%)

rewrite201.0ms (3%)

eval245.0ms (3.6%)

prune120.0ms (1.8%)

simplify185.0ms (2.7%)

localize115.0ms (1.7%)

series28.0ms (0.4%)

simplify133.0ms (2%)

rewrite213.0ms (3.1%)

eval360.0ms (5.3%)

prune407.0ms (6%)

regimes23.0ms (0.3%)

regimes34.0ms (0.5%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify20.0ms (0.3%)

soundness649.0ms (9.6%)

preprocess78.0ms (1.2%)

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	189	186
5	335	186
6	383	186
7	420	186
8	474	186
9	489	186
10	497	186
0	497	186