Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

sample2.0s (25.1%)

Memory

-97.0MiB live, 1 507.4MiB allocated

Samples

1.3s	7 499×	1	valid
62.0ms	347×	2	valid
30.0ms	410×	0	valid

Precisions

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

ival-atan: 371.0ms (33.8% of total)

adjust: 234.0ms (21.3% of total)

const: 169.0ms (15.4% of total)

ival-sub: 125.0ms (11.4% of total)

ival-add: 94.0ms (8.6% of total)

ival->: 56.0ms (5.1% of total)

ival-<: 28.0ms (2.5% of total)

ival-and: 11.0ms (1% of total)

exact: 7.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain139.0ms (1.7%)

Memory

-7.1MiB live, 239.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`	cancellation	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

87.0ms	478×	1	valid
4.0ms	24×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 48 to 22 computations (54.2% saved)

Precisions

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

ival-atan: 43.0ms (59.4% of total)

adjust: 13.0ms (18% of total)

ival-add: 10.0ms (13.8% of total)

ival-sub: 5.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess31.0ms (0.4%)

Memory

-11.8MiB live, 25.5MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
46×	`sub-neg`

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))

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.3%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB 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))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

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

localize41.0ms (0.5%)

Memory

-3.1MiB live, 73.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0	(atan.f64 N)
accuracy	59.98651937081246	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

30.0ms	239×	1	valid
2.0ms	12×	2	valid
0.0ms	5×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-atan: 9.0ms (41.1% of total)

adjust: 7.0ms (31.9% of total)

ival-add: 2.0ms (9.1% of total)

ival-sub: 2.0ms (9.1% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

12 calls:

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

simplify22.0ms (0.3%)

Memory

-10.2MiB live, 29.5MiB allocated

Algorithm

1×	egg-herbie

Rules

192×	`lower-fma.f64`
192×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
96×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 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 N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)

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

rewrite249.0ms (3.1%)

Memory

40.7MiB live, 425.9MiB allocated

Rules

4 024×	`lower-*.f64`
4 024×	`lower-*.f32`
3 876×	`lower-/.f64`
3 876×	`lower-/.f32`
3 196×	`lower-fma.f64`

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
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 #s(literal 0 binary64) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(-.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 0 binary64)) (atan.f64 N))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (/.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(fma.f64 (atan.f64 N) #s(literal -1 binary64) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3/2 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 3 binary64)))) (fma.f64 (.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (neg.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (neg.f64 (*.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (neg.f64 (*.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))))))
(/.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (neg.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 9 binary64)) (pow.f64 (atan.f64 N) #s(literal 9 binary64))) (.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 3 binary64))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
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(.f64 (/.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (*.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))
(.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N (.f64 N N) #s(literal -1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))))
(.f64 (pow.f64 (/.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N N) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 (.f64 N N) (*.f64 N N) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64))))
(exp.f64 (log.f64 (atan.f64 N)))
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(atan.f64 N)
(pow.f64 (atan.f64 N) #s(literal 1 binary64))

eval92.0ms (1.2%)

Memory: -33.1MiB live, 58.5MiB allocated
Compiler: Compiled 9 521 to 917 computations (90.4% saved)

prune57.0ms (0.7%)

Memory

36.2MiB live, 111.4MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	276	9	285
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	277	9	286

Accuracy

99.8%

Counts

286 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
▶	99.4%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.5%	(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
▶	99.4%	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
	99.5%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶	99.5%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.3%	(.f64 (/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶	91.9%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))

Compiler

Compiled 664 to 234 computations (64.8% saved)

simplify333.0ms (4.2%)

Memory

2.3MiB live, 349.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(atan.f64 N)
cost-diff	0	(fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
cost-diff	320	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
cost-diff	55552	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
cost-diff	0	(+.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff	320	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff	15872	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
cost-diff	0	(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
cost-diff	0	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff	15872	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
cost-diff	448	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))
cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
cost-diff	12800	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
cost-diff	0	(+.f64 N #s(literal 1 binary64))
cost-diff	0	(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))

Rules

21 362×	`lower-fma.f32`
21 356×	`lower-fma.f64`
5 584×	`lower-+.f32`
5 580×	`lower-+.f64`
3 750×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	496
0	52	388
1	89	383
2	160	381
3	372	381
4	1764	381
5	5857	381
6	6305	381
7	6509	381
8	6615	381
9	6668	381
10	6706	381
0	8581	369

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (1.6%)

Memory

-7.3MiB live, 158.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy	0.4069137695368841	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
accuracy	0.41015625	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
accuracy	0.91796875	(fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
accuracy	0.03125	(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy	0.26953125	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
accuracy	0.39453125	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy	0.34765625	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy	0.40072250976844204	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy	0.0078125	(log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
accuracy	5.198543447337327	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
accuracy	0	(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))

Samples

62.0ms

256×

valid

Compiler

Compiled 544 to 31 computations (94.3% saved)

Precisions

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

ival-mult: 11.0ms (25.1% of total)

ival-atan2: 9.0ms (20.5% of total)

ival-div: 6.0ms (13.7% of total)

ival-add: 5.0ms (11.4% of total)

ival-exp: 3.0ms (6.8% of total)

ival-atan: 3.0ms (6.8% of total)

ival-log: 3.0ms (6.8% of total)

ival-pow2: 2.0ms (4.6% of total)

ival-sub: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series171.0ms (2.1%)

Memory

-1.6MiB live, 156.6MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
93.0ms	N	@	0	(log (/ 1 (atan2 1 (+ (* N N) (+ N 1)))))
29.0ms	N	@	inf	(log (/ 1 (atan2 1 (+ (* N N) (+ N 1)))))
21.0ms	N	@	-inf	(log (/ 1 (atan2 1 (+ (* N N) (+ N 1)))))
1.0ms	N	@	-inf	(* (atan2 1 (+ (* N N) (+ N 1))) (/ 1 (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))))
1.0ms	N	@	inf	(* (atan2 1 (+ (* N N) (+ N 1))) (/ 1 (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))))

simplify184.0ms (2.3%)

Memory

-11.4MiB live, 150.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 246×	`lower-fma.f64`
6 246×	`lower-fma.f32`
2 536×	`lower-/.f32`
2 536×	`lower-/.f64`
2 364×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	2765
1	176	2716
2	347	2716
3	1114	2716
4	5164	2716
0	8328	2393

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

Calls

Call 1

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

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

rewrite398.0ms (5%)

Memory

-15.1MiB live, 446.9MiB allocated

Rules

5 196×	`lower-fma.f32`
5 190×	`lower-fma.f64`
4 672×	`lower-/.f32`
4 664×	`lower-/.f64`
4 066×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	325
0	52	213
1	185	212
2	1229	210
0	8282	203

Stop Event

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

Counts

19 → 1 180

Calls

Call 1

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

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

eval784.0ms (9.8%)

Memory: 42.0MiB live, 1 090.2MiB allocated
Compiler: Compiled 218 677 to 7 133 computations (96.7% saved)

prune457.0ms (5.7%)

Memory

-12.6MiB live, 634.2MiB allocated

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	3 829	24	3 853
Fresh	2	2	4
Picked	4	1	5
Done	0	0	0
Total	3 835	27	3 862

Accuracy

100.0%

Counts

3 862 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	78.2%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
	78.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
▶	78.1%	(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
	78.1%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	53.4%	(atan2.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	98.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
	7.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
	95.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
▶	6.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
	99.5%	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	99.4%	(/.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.4%	(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
	95.3%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	95.4%	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
	99.3%	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))))
	99.2%	(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	99.5%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶	99.5%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.3%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	77.9%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	98.6%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
▶	95.3%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Compiler

Compiled 1 567 to 605 computations (61.4% saved)

simplify244.0ms (3.1%)

Memory

-6.8MiB live, 275.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff	15872	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
cost-diff	0	(+.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff	0	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
cost-diff	320	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff	0	(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
cost-diff	0	(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
cost-diff	2176	(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))
cost-diff	0	#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 N N #s(literal 1 binary64))
cost-diff	0	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Rules

12 146×	`lower-fma.f32`
12 138×	`lower-fma.f64`
3 382×	`lower--.f32`
3 378×	`lower--.f64`
2 620×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	416
0	68	358
1	118	350
2	229	350
3	705	350
4	3372	350
5	6654	350
0	8378	336

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.7%)

Memory

7.9MiB live, 162.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy	0.26953125	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy	0.36328125	(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy	0.26953125	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
accuracy	0.39453125	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy	59.040453347240955	#s(approx (+ N (+ N 1)) #s(literal 1 binary64))
accuracy	0.03515625	(-.f64 (fma.f64 N N #s(literal -1 binary64)) N)
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
accuracy	0.360038769536884	(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))
accuracy	14.162092273031805	(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
accuracy	60.02377386955781	#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
accuracy	0	(fma.f64 N N #s(literal 1 binary64))
accuracy	0.03515625	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Samples

56.0ms

256×

valid

Compiler

Compiled 446 to 33 computations (92.6% saved)

Precisions

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

ival-atan2: 11.0ms (28.9% of total)

ival-add: 11.0ms (28.9% of total)

ival-div: 7.0ms (18.4% of total)

ival-mult: 7.0ms (18.4% of total)

ival-sub: 2.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

simplify227.0ms (2.9%)

Memory

-50.9MiB live, 328.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 126×	`lower-fma.f64`
10 126×	`lower-fma.f32`
3 190×	`lower-*.f64`
3 190×	`lower-*.f32`
1 210×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	2234
1	201	2197
2	434	2186
3	1865	2162
4	6711	2162
0	8063	1898

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

rewrite108.0ms (1.4%)

Memory

30.7MiB live, 190.8MiB allocated

Rules

1 120×	`lower-fma.f32`
1 112×	`lower-fma.f64`
962×	`lower-/.f32`
952×	`lower-/.f64`
952×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	279
0	68	217
1	264	209
0	2125	202

Stop Event

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

Counts

20 → 579

Calls

Call 1

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

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

eval167.0ms (2.1%)

Memory: 1.3MiB live, 190.2MiB allocated
Compiler: Compiled 34 071 to 2 003 computations (94.1% saved)

prune132.0ms (1.7%)

Memory

-34.7MiB live, 223.6MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 020	16	1 036
Fresh	12	9	21
Picked	4	1	5
Done	0	1	1
Total	1 036	27	1 063

Accuracy

100.0%

Counts

1 063 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	78.2%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
	77.9%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
	43.0%	(atan2.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
▶	78.0%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (fma.f64 N (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
	77.1%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (.f64 N (.f64 N (fma.f64 N N #s(literal -1 binary64))))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
	78.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)))) N))
	98.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
▶	7.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N))
	99.4%	(atan2.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 N N #s(literal -1 binary64)) N) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
	98.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (- (+ (* N N) -1) N)) (fma.f64 N N N)))
	95.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (- (+ (* N N) -1) N)) (*.f64 N N)))
✓	6.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
	99.4%	(/.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	95.4%	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
	99.3%	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))))
	99.2%	(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	95.4%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	95.2%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
▶	99.4%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
	77.9%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	98.6%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	95.3%	(*.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
▶	99.5%	(.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	95.3%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Compiler

Compiled 1 462 to 600 computations (59% saved)

simplify182.0ms (2.3%)

Memory

13.7MiB live, 169.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff	832	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
cost-diff	15872	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff	0	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
cost-diff	704	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff	0	(fma.f64 N (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
cost-diff	0	#s(approx (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (fma.f64 N (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(approx (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (fma.f64 N (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (fma.f64 N (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
cost-diff	0	#s(approx (+ (* N N) 1) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N))
cost-diff	0	#s(approx (+ N (+ N 1)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff	320	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff	15104	(.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))

Rules

10 114×	`lower-fma.f32`
10 104×	`lower-fma.f64`
3 318×	`lower-*.f32`
3 308×	`lower-*.f64`
2 416×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	533
0	81	630
1	154	610
2	337	459
3	994	457
4	4642	457
0	8369	443

Stop Event

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

Calls

Call 1

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

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

localize130.0ms (1.6%)

Memory

-5.6MiB live, 151.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy	0.26953125	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy	0.40919877930532605	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy	13.891727597450283	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
accuracy	0.203125	(fma.f64 N (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
accuracy	0.21484375	(fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (fma.f64 N (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
accuracy	14.162092273031805	(/.f64 #s(approx (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (fma.f64 N (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))
accuracy	0.03515625	(+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N)
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N))
accuracy	60.02373717164083	#s(approx (+ (* N N) 1) #s(literal 1 binary64))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy	0.26953125	(.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
accuracy	0.39453125	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy	59.040453347240955	#s(approx (+ N (+ N 1)) #s(literal 1 binary64))

Samples

75.0ms

256×

valid

Compiler

Compiled 533 to 42 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-add: 14.0ms (25.7% of total)

ival-atan2: 13.0ms (23.9% of total)

ival-mult: 12.0ms (22.1% of total)

ival-div: 6.0ms (11% of total)

ival-pow: 5.0ms (9.2% of total)

ival-sub: 2.0ms (3.7% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

21 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

simplify277.0ms (3.5%)

Memory

-5.9MiB live, 251.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 980×	`lower-fma.f64`
11 980×	`lower-fma.f32`
3 800×	`lower-*.f64`
3 800×	`lower-*.f32`
2 460×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	2817
1	224	2785
2	546	2750
3	2500	2702
4	7465	2702
0	8676	2390

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

rewrite303.0ms (3.8%)

Memory

14.4MiB live, 301.3MiB allocated

Rules

4 616×	`lower-/.f32`
4 608×	`lower-/.f64`
4 252×	`lower-*.f32`
4 242×	`lower-*.f64`
3 494×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	389
0	81	451
1	328	425
2	2444	305
0	8644	294

Stop Event

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

Counts

21 → 424

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -2 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))))))
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal -4 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal -2 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal -1/4 binary64) (.f64 (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal -1/4 binary64) (.f64 (*.f64 #s(literal -2 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (*.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))) #s(literal 1 binary64)) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
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(.f64 (.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(.f64 (.f64 (*.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(+.f64 #s(literal -2 binary64) (*.f64 N (fma.f64 N N #s(literal -1 binary64))))
(+.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal -2 binary64))
(+.f64 (.f64 N (.f64 N N)) (+.f64 (neg.f64 N) #s(literal -2 binary64)))
(+.f64 (+.f64 #s(literal -2 binary64) (.f64 N (.f64 N N))) (neg.f64 N))
(-.f64 (/.f64 (.f64 (.f64 N N) (*.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64))))
(fma.f64 N (*.f64 N N) (+.f64 (neg.f64 N) #s(literal -2 binary64)))
(fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)) (+.f64 (neg.f64 N) #s(literal -2 binary64)))
(fma.f64 (fma.f64 N N N) (+.f64 N #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) N) #s(literal -2 binary64))
(fma.f64 (*.f64 N N) N (+.f64 (neg.f64 N) #s(literal -2 binary64)))
(fma.f64 (.f64 N (.f64 N N)) #s(literal 1 binary64) (+.f64 (neg.f64 N) #s(literal -2 binary64)))
(fma.f64 (.f64 N (.f64 N N)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (+.f64 (neg.f64 N) #s(literal -2 binary64)))
(fma.f64 (fma.f64 N N #s(literal -1 binary64)) N #s(literal -2 binary64))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) (+.f64 (neg.f64 N) #s(literal -2 binary64)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 N (.f64 N N)) (+.f64 (neg.f64 N) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 N (.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)))) (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64))) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 N (.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)))) (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64))) #s(literal -8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64))) #s(literal -8 binary64)) (-.f64 (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 N (.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64))) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (*.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64))))))
(/.f64 (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal -4 binary64)) (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64))) #s(literal -8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 N (.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64))) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (*.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal -4 binary64))) (neg.f64 (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) (-.f64 #s(literal -2 binary64) (.f64 N (fma.f64 N N #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64))) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 N (.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 N (fma.f64 N N #s(literal -1 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 N (.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)))) (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 N (*.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64))))))
(.f64 (fma.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))) (*.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 2 binary64))))

eval113.0ms (1.4%)

Memory: -12.2MiB live, 230.1MiB allocated
Compiler: Compiled 25 516 to 1 516 computations (94.1% saved)

prune133.0ms (1.7%)

Memory

-1.3MiB live, 269.4MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	867	10	877
Fresh	7	13	20
Picked	1	4	5
Done	0	2	2
Total	875	29	904

Accuracy

100.0%

Counts

904 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.2%	(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
	78.1%	(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))))) #s(literal -1/2 binary64))
	99.1%	(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))) #s(literal 2 binary64))
	77.9%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
✓	78.0%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (fma.f64 N (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
	54.5%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (fma.f64 N (/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) (-.f64 #s(literal -2 binary64) (.f64 N (fma.f64 N N #s(literal -1 binary64))))) #s(literal -1 binary64))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
	76.6%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (fma.f64 N #s(approx (+ (* N (+ (* N N) -1)) -2) (.f64 N (.f64 N N))) #s(literal -1 binary64))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
	43.0%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (/.f64 (fma.f64 N (.f64 (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)) (.f64 N (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64)) (fma.f64 N (fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
	78.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)))) N))
	98.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
✓	7.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N))
	99.4%	(atan2.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 N N #s(literal -1 binary64)) N) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
	98.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (- (+ (* N N) -1) N)) (fma.f64 N N N)))
	95.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ (* (+ 1 (+ (* N N) N)) (- (+ (* N N) -1) N)) (- (+ (* N N) -1) N)) (*.f64 N N)))
✓	6.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
	99.4%	(/.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	95.4%	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
	99.3%	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))))
	99.1%	(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	99.3%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
✓	99.4%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
	77.9%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	98.6%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	99.5%	(*.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	95.3%	(*.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
✓	99.5%	(.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))))

Compiler

Compiled 2 438 to 542 computations (77.8% saved)

regimes36.0ms (0.4%)

Memory

-5.3MiB live, 75.7MiB allocated

Counts

60 → 1

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
15.0ms	N

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) 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
99.6%	1	`N`
99.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N 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
98.2%	1	`N`
98.2%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

-28.4MiB live, 11.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 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
95.3%	1	`N`
95.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

7.5MiB live, 7.5MiB 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 (+ (* N N) (+ N 1)) #s(literal 1 binary64)))

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify6.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	27	67

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness567.0ms (7.1%)

Memory

-43.4MiB live, 414.5MiB allocated

Rules

6 246×	`lower-fma.f64`
6 246×	`lower-fma.f32`
5 196×	`lower-fma.f32`
5 190×	`lower-fma.f64`
4 672×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	2765
1	176	2716
2	347	2716
3	1114	2716
4	5164	2716
0	8328	2393
0	6	16
0	10	16
1	44	16
2	284	16
3	2885	16
0	8353	16
0	27	325
0	52	213
1	185	212
2	1229	210
0	8282	203

Stop Event

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

Compiler

Compiled 176 to 85 computations (51.7% saved)

preprocess53.0ms (0.7%)

Memory: 23.4MiB live, 100.9MiB allocated
Compiler: Compiled 136 to 64 computations (52.9% 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	381	186
7	420	186
8	475	186
9	490	186
10	498	186
0	498	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	381	186
7	420	186
8	475	186
9	490	186
10	498	186
0	498	186

start0.0ms (0%)

analyze2.0ms (0%)

sample2.0s (25.1%)

explain139.0ms (1.7%)

preprocess31.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize41.0ms (0.5%)

series2.0ms (0%)

simplify22.0ms (0.3%)

rewrite249.0ms (3.1%)

eval92.0ms (1.2%)

prune57.0ms (0.7%)

simplify333.0ms (4.2%)

localize129.0ms (1.6%)

series171.0ms (2.1%)

simplify184.0ms (2.3%)

rewrite398.0ms (5%)

eval784.0ms (9.8%)

prune457.0ms (5.7%)

simplify244.0ms (3.1%)

localize134.0ms (1.7%)

series11.0ms (0.1%)

simplify227.0ms (2.9%)

rewrite108.0ms (1.4%)

eval167.0ms (2.1%)

prune132.0ms (1.7%)

simplify182.0ms (2.3%)

localize130.0ms (1.6%)

series20.0ms (0.2%)

simplify277.0ms (3.5%)

rewrite303.0ms (3.8%)

eval113.0ms (1.4%)

prune133.0ms (1.7%)

regimes36.0ms (0.4%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify6.0ms (0.1%)

soundness567.0ms (7.1%)

preprocess53.0ms (0.7%)

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	381	186
7	420	186
8	475	186
9	490	186
10	498	186
0	498	186