Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.7s (26.1%)

Memory

52.7MiB live, 1 935.8MiB allocated

Samples

1.0s	5 404×	1	valid
311.0ms	2 852×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-atan: 415.0ms (37.8% of total)

const: 179.0ms (16.3% of total)

ival->: 164.0ms (14.9% of total)

adjust: 156.0ms (14.2% of total)

ival-sub: 72.0ms (6.5% of total)

ival-add: 67.0ms (6.1% of total)

ival-<: 22.0ms (2% of total)

ival-and: 13.0ms (1.2% of total)

exact: 8.0ms (0.7% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain142.0ms (2.2%)

Memory

6.5MiB live, 231.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
255	-	1	(6.620683266896848)	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	-	0	-	`N`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(atan.f64 N)`
0	-	0	-	`(atan.f64 (+.f64 N #s(literal 1 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`	cancellation	254	1

Confusion

	Predicted +	Predicted -
+	254	1
-	0	1

Precision

1.0

Recall

0.996078431372549

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	1	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	318×	1	valid
13.0ms	194×	0	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-atan: 22.0ms (56.8% of total)

adjust: 8.0ms (20.7% of total)

ival-sub: 4.0ms (10.3% of total)

ival-add: 3.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess27.0ms (0.4%)

Memory

-8.0MiB live, 37.2MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.4%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB 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)

localize42.0ms (0.6%)

Memory

21.1MiB live, 92.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0	(atan.f64 N)
accuracy	57.356697539704065	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

29.0ms	159×	1	valid
6.0ms	97×	0	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-atan: 11.0ms (49.6% of total)

ival-add: 5.0ms (22.6% of total)

adjust: 4.0ms (18% of total)

ival-sub: 2.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

-27.4MiB live, 5.1MiB 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

30.7MiB live, 30.7MiB 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)

rewrite168.0ms (2.6%)

Memory

-29.0MiB live, 261.3MiB 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
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eval43.0ms (0.7%)

Memory: -15.4MiB live, 110.0MiB allocated
Compiler: Compiled 7 832 to 922 computations (88.2% saved)

prune8.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accuracy

99.6%

Counts

286 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
▶	10.3%	(/.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

▶

99.6%

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

▶

10.3%

(/.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)

simplify163.0ms (2.5%)

Memory

-10.0MiB live, 65.3MiB 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

localize121.0ms (1.9%)

Memory

20.5MiB live, 178.9MiB 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	0.28515625	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
accuracy	0.4567375488422101	(/.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	1.4245007818359359	(pow.f64 (atan.f64 N) #s(literal 4 binary64))
accuracy	1.4336408209097038	(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))
accuracy	57.18189760754735	(-.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

76.0ms	155×	1	valid
27.0ms	101×	0	valid

Compiler

Compiled 288 to 42 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-atan: 21.0ms (25.4% of total)

adjust: 14.0ms (17% of total)

ival-pow: 11.0ms (13.3% of total)

ival-pow2: 11.0ms (13.3% of total)

ival-add: 7.0ms (8.5% of total)

ival-mult: 7.0ms (8.5% of total)

ival-sub: 5.0ms (6.1% of total)

ival-div: 3.0ms (3.6% of total)

ival-atan2: 3.0ms (3.6% of total)

exact: 1.0ms (1.2% of total)

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

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

series46.0ms (0.7%)

Memory

-21.8MiB live, 23.6MiB 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>) () ())) ())
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#s(alt (pow (atan (+ 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>) () ())) ())
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#s(alt (pow (atan (+ 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>) () ())) ())
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#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>) () ())) ())
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#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
35.0ms	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

35.0ms

-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))

simplify141.0ms (2.2%)

Memory

14.8MiB live, 186.6MiB 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))

rewrite173.0ms (2.7%)

Memory

-20.4MiB live, 174.6MiB 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))

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eval150.0ms (2.3%)

Memory: 2.0MiB live, 188.1MiB allocated
Compiler: Compiled 28 086 to 2 050 computations (92.7% saved)

prune34.0ms (0.5%)

Memory

-2.8MiB live, 83.1MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	679	18	697
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	680	19	699

Accuracy

99.8%

Counts

699 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.0%	(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)))
	79.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.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))) N #s(literal 1 binary64)))
	99.5%	(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)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) 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)))
▶	99.3%	(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)))
	79.2%	(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))))
	54.2%	(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 (+.f64 N #s(literal 1 binary64)) (*.f64 N N)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	79.1%	(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)))))
	95.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	91.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
▶	6.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
	10.3%	(/.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))))

Compiler

Compiled 560 to 327 computations (41.6% saved)

simplify221.0ms (3.4%)

Memory

-8.7MiB live, 193.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (pow.f64 N #s(literal 3 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)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
cost-diff	192	(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))
cost-diff	320	(*.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))))
cost-diff	0	(*.f64 N N)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 N N))
cost-diff	0	(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)))
cost-diff	13120	(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))
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))))
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	(*.f64 N N)
cost-diff	0	(+.f64 N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 N N)))
cost-diff	128	(+.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 N N))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	199
0	52	181
1	87	173
2	148	172
3	276	169
4	611	169
5	956	169
6	1960	169
7	4115	169
8	5940	169
9	7910	169
0	8077	169

Stop Event

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

Calls

Call 1

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

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

localize195.0ms (3%)

Memory

-20.9MiB live, 138.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	0.2734375	(*.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))))
accuracy	0.28125	(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)))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (*.f64 N N))
accuracy	0.24609375	(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)
accuracy	0.28125	(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)))
accuracy	0.36166000976844204	(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))
accuracy	0	(fma.f64 N N #s(literal 1 binary64))
accuracy	0.05859375	(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
accuracy	0.28125	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
accuracy	0.28125	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy	59.58377492478349	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(*.f64 N N)
accuracy	0.0625	(+.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 N N))
accuracy	0.28125	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 N N)))

Samples

147.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 394 to 58 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-add: 30.0ms (38.6% of total)

ival-sub: 17.0ms (21.9% of total)

ival-atan2: 10.0ms (12.9% of total)

ival-mult: 9.0ms (11.6% of total)

ival-pow: 8.0ms (10.3% of total)

ival-div: 2.0ms (2.6% of total)

adjust: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

18 → 216

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify349.0ms (5.4%)

Memory

12.1MiB live, 121.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1533
1	274	1443
2	568	1420
3	2454	1414
4	7332	1414
0	8440	1315

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 211

Calls

Call 1

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

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

rewrite192.0ms (2.9%)

Memory

-18.5MiB live, 142.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	165
0	52	114
1	219	112
2	1853	112
0	8328	112

Stop Event

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

Counts

18 → 744

Calls

Call 1

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

Outputs
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eval211.0ms (3.2%)

Memory: 23.5MiB live, 179.8MiB allocated
Compiler: Compiled 19 158 to 1 708 computations (91.1% saved)

prune113.0ms (1.7%)

Memory

-21.9MiB live, 99.5MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	966	9	975
Fresh	9	4	13
Picked	2	3	5
Done	0	1	1
Total	977	17	994

Accuracy

99.8%

Counts

994 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	99.5%	(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)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
▶	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) 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)))
	95.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(approx (- 1 ( N N)) (*.f64 (neg.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 (+.f64 N #s(literal 1 binary64)) (*.f64 N N)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	79.1%	(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)))))
▶	95.3%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) (*.f64 N N))))
▶	8.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) #s(literal 1 binary64))))
	79.1%	(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)))))
	95.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ N 1) (* N N)) (fma.f64 N N N)))
	91.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ N 1) (* N N)) (*.f64 N N)))
✓	6.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
	10.3%	(/.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))))
	99.5%	#s(approx (atan2 1 (+ (* (* (- 1 (* N N)) N) (pow (- 1 N) -1)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 399 to 244 computations (38.8% saved)

simplify99.0ms (1.5%)

Memory

13.4MiB live, 49.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
cost-diff	0	(/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(*.f64 N N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64))
cost-diff	320	(.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
cost-diff	0	(*.f64 N N)
cost-diff	0	#s(approx (+ (* N N) 1) (*.f64 N N))
cost-diff	0	(+.f64 N #s(approx (+ (* N N) 1) (*.f64 N N)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) (*.f64 N N))))
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	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	247
0	55	235
1	97	225
2	172	221
3	294	221
4	373	221
5	507	221
6	772	221
7	1618	221
8	2192	221
9	2484	221
10	2568	221
11	2592	221
12	2599	221
13	2600	221
0	2600	215

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize118.0ms (1.8%)

Memory

-24.9MiB live, 99.9MiB 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	0.2578125	(/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
accuracy	0.28125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0.36947250976844204	(fma.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.2421875	(fma.f64 (*.f64 N N) N #s(literal 1 binary64))
accuracy	0.2734375	(.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
accuracy	0.28125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
accuracy	0	(*.f64 N N)
accuracy	0.05859375	(+.f64 N #s(approx (+ (* N N) 1) (*.f64 N N)))
accuracy	0.28125	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) (*.f64 N N))))
accuracy	2.5161843517519764	#s(approx (+ (* N N) 1) (*.f64 N N))
accuracy	0.05859375	(+.f64 N #s(approx (+ (* N N) 1) #s(literal 1 binary64)))
accuracy	0.28125	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) #s(literal 1 binary64))))
accuracy	59.58348252483077	#s(approx (+ (* N N) 1) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))
accuracy	0.28125	(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)))

Samples

79.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 467 to 57 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 10.0ms (22% of total)

ival-mult: 9.0ms (19.8% of total)

ival-pow: 8.0ms (17.6% of total)

ival-atan2: 8.0ms (17.6% of total)

ival-div: 7.0ms (15.4% of total)

ival-sub: 1.0ms (2.2% 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)

series12.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

22 → 264

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify205.0ms (3.1%)

Memory

-1.4MiB live, 186.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	1845
1	377	1774
2	855	1758
3	3887	1743
0	8416	1615

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 257

Calls

Call 1

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

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

rewrite592.0ms (9.1%)

Memory

-27.1MiB live, 345.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	218
0	55	151
1	226	151
2	1758	151
0	8338	144

Stop Event

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

Counts

22 → 1 017

Calls

Call 1

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

Outputs
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eval193.0ms (3%)

Memory: 33.7MiB live, 414.1MiB allocated
Compiler: Compiled 33 253 to 3 379 computations (89.8% saved)

prune67.0ms (1%)

Memory

-32.2MiB live, 144.8MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	1 374	7	1 381
Fresh	1	7	8
Picked	3	2	5
Done	0	4	4
Total	1 378	20	1 398

Accuracy

99.8%

Counts

1 398 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) #s(literal 1 binary64)))
	99.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	91.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ N 1)) (/.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	91.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (- 1 N)) (*.f64 N N)))) 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)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 N (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
	91.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ N (+ (* N N) (- 1 N))) (/.f64 #s(literal 1 binary64) N)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 N (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))) #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 N N)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	79.1%	(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)))))
✓	95.3%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) (*.f64 N N))))
✓	8.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(approx (+ (* N N) 1) #s(literal 1 binary64))))
	79.1%	(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)))))
	95.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ N 1) (* N N)) (fma.f64 N N N)))
	91.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ N 1) (* N N)) (*.f64 N N)))
✓	6.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
	10.3%	(/.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))))
	99.5%	#s(approx (atan2 1 (+ (* (* (- 1 (* N N)) N) (pow (- 1 N) -1)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 805 to 324 computations (59.8% saved)

regimes22.0ms (0.3%)

Memory

6.9MiB live, 45.5MiB allocated

Counts

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

Calls

2 calls:

12.0ms	N
8.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	N
3.0ms	(-.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)

regimes6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

8 → 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 (+ (+ N 1) (* N N)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ N 1) (* N N)) (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
95.4%	1	`N`
95.4%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

-31.4MiB live, 10.6MiB 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 (+ (+ N 1) (* N N)) (*.f64 N N)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.1%	1	`N`
91.1%	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

9.0MiB live, 9.0MiB 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
8.1%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
8.1%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB 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
6.6%	1	`N`
6.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify24.0ms (0.4%)

Memory

20.6MiB live, 59.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	67
1	30	67
2	33	67
3	34	67
4	35	67

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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) (+.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) (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)))
(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)))

soundness702.0ms (10.8%)

Memory

8.7MiB live, 398.9MiB 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
0	19	92
0	35	92
1	139	88
2	910	78
0	8420	78
0	47	1060
1	127	1052
2	311	1052
3	733	1052
4	2775	1052
5	6010	1052
0	8079	1032

Stop Event

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

Compiler

Compiled 164 to 92 computations (43.9% saved)

preprocess171.0ms (2.6%)

Memory: -39.5MiB live, 130.2MiB allocated
Compiler: Compiled 108 to 62 computations (42.6% 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%)

sample1.7s (26.1%)

explain142.0ms (2.2%)

preprocess27.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize42.0ms (0.6%)

series7.0ms (0.1%)

simplify13.0ms (0.2%)

rewrite168.0ms (2.6%)

eval43.0ms (0.7%)

prune8.0ms (0.1%)

simplify163.0ms (2.5%)

localize121.0ms (1.9%)

series46.0ms (0.7%)

simplify141.0ms (2.2%)

rewrite173.0ms (2.7%)

eval150.0ms (2.3%)

prune34.0ms (0.5%)

simplify221.0ms (3.4%)

localize195.0ms (3%)

series14.0ms (0.2%)

simplify349.0ms (5.4%)

rewrite192.0ms (2.9%)

eval211.0ms (3.2%)

prune113.0ms (1.7%)

simplify99.0ms (1.5%)

localize118.0ms (1.8%)

series12.0ms (0.2%)

simplify205.0ms (3.1%)

rewrite592.0ms (9.1%)

eval193.0ms (3%)

prune67.0ms (1%)

regimes22.0ms (0.3%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

simplify24.0ms (0.4%)

soundness702.0ms (10.8%)

preprocess171.0ms (2.6%)

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