Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze2.0ms (0%)

Memory

5.2MiB live, 5.1MiB 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)

sample2.1s (31.6%)

Memory

-73.9MiB live, 3 476.5MiB allocated

Samples

1.7s	7 456×	1	valid
89.0ms	406×	2	valid
44.0ms	394×	0	valid

Precisions

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

ival-atan: 430.0ms (38.5% of total)

adjust: 231.0ms (20.7% of total)

ival-add: 142.0ms (12.7% of total)

const: 119.0ms (10.7% of total)

ival-sub: 114.0ms (10.2% of total)

ival->: 31.0ms (2.8% of total)

ival-<: 24.0ms (2.1% of total)

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

exact: 8.0ms (0.7% of total)

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

Bogosity

explain132.0ms (2%)

Memory

41.9MiB live, 353.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
253	-	2	(4.497765040380063)	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	-	0	-	`N`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(atan.f64 N)`
0	-	0	-	`(atan.f64 (+.f64 N #s(literal 1 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`	cancellation	251	3

Confusion

	Predicted +	Predicted -
+	251	2
-	0	3

Precision

1.0

Recall

0.9920948616600791

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	2	0
-	0	1	2

Precision?

0.9960629921259843

Recall?

1.0

Freqs

test

number	freq
0	5
1	251

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms	454×	1	valid
7.0ms	26×	2	valid
2.0ms	32×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-atan: 28.0ms (46.2% of total)

adjust: 15.0ms (24.7% of total)

ival-add: 12.0ms (19.8% of total)

ival-sub: 5.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess26.0ms (0.4%)

Memory

-14.5MiB live, 58.3MiB 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))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.3%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize55.0ms (0.8%)

Memory

-16.4MiB live, 152.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0	(atan.f64 N)
accuracy	58.047695153914724	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

45.0ms	227×	1	valid
2.0ms	13×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sub: 13.0ms (36.3% of total)

ival-atan: 10.0ms (27.9% of total)

adjust: 10.0ms (27.9% of total)

ival-add: 3.0ms (8.4% 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

6.5MiB live, 6.5MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

simplify17.0ms (0.3%)

Memory

-24.0MiB live, 17.8MiB 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	383	186
7	420	186
8	474	186
9	489	186
10	497	186
0	497	186

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 46

Calls

Call 1

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

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

rewrite277.0ms (4.1%)

Memory

18.7MiB live, 284.5MiB 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
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 9 binary64)) (pow.f64 (atan.f64 N) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (atan.f64 N) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))))
(.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (-.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (/.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (/.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (pow.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(pow.f64 (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 9 binary64)) (pow.f64 (atan.f64 N) #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (.f64 N N)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)) (/.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (.f64 N N)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 N #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(neg.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(fma.f64 (/.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) N) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 N N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) #s(literal -1 binary64)))
(pow.f64 (atan.f64 N) #s(literal 1 binary64))
(atan.f64 N)
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (atan.f64 N)))

eval40.0ms (0.6%)

Memory: -16.4MiB live, 108.4MiB allocated
Compiler: Compiled 7 832 to 922 computations (88.2% saved)

prune8.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accuracy

99.6%

Counts

286 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify5.0ms (0.1%)

Memory

-31.5MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

New

Metric

Score

Program

cost-diff

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

cost-diff

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

cost-diff

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

Rules

46×	`lower-fma.f32`
44×	`lower-fma.f64`
30×	`lower-*.f64`
30×	`lower-*.f32`
24×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	19
0	9	19
1	14	19
2	21	19
3	29	19
4	39	19
5	42	19
6	45	19
0	45	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.5%)

Memory

7.8MiB live, 61.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.00390625	(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy	0.26171875	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))

New

Metric

Score

Program

accuracy

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

accuracy

0.00390625

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

accuracy

0.26171875

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

Samples

12.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (45.6% of total)

ival-atan2: 2.0ms (30.4% of total)

ival-mult: 2.0ms (30.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	((atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N))
0.0ms	N	@	-inf	((atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N))
0.0ms	N	@	0	((atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N))

simplify111.0ms (1.6%)

Memory

1.1MiB live, 159.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 462×	`lower-fma.f64`
11 462×	`lower-fma.f32`
3 274×	`lower-*.f64`
3 274×	`lower-*.f32`
1 476×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	208
1	67	200
2	117	200
3	451	200
4	2326	200
5	5354	200
0	8132	180

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

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

rewrite144.0ms (2.1%)

Memory

2.8MiB live, 235.5MiB allocated

Rules

4 728×	`lower-fma.f32`
4 726×	`lower-fma.f64`
4 684×	`lower-/.f64`
4 684×	`lower-/.f32`
2 984×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	9	17
1	37	17
2	262	17
3	2791	17
0	8379	17

Stop Event

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

Counts

3 → 289

Calls

Call 1

Inputs

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

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

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

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

eval76.0ms (1.1%)

Memory: -1.1MiB live, 120.3MiB allocated
Compiler: Compiled 7 546 to 1 145 computations (84.8% saved)

prune43.0ms (0.6%)

Memory

-1.9MiB live, 37.4MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	306	17	323
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	306	18	324

Accuracy

99.8%

Counts

324 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) N #s(literal 1 binary64)))
	78.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal 1 binary64)))
▶	78.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) N) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
	78.1%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	92.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
▶	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 498 to 309 computations (38% saved)

simplify356.0ms (5.3%)

Memory

2.6MiB live, 298.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 N #s(literal 4 binary64))
cost-diff	0	(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	5952	(fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	(pow.f64 N #s(literal 3 binary64))
cost-diff	0	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 N N))
cost-diff	0	(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	7872	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 N N #s(literal 1 binary64))
cost-diff	0	(+.f64 (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

38 918×	`lower-fma.f32`
38 908×	`lower-fma.f64`
4 220×	`lower-*.f32`
4 216×	`lower-*.f64`
2 748×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	233
0	59	197
1	101	197
2	193	194
3	410	189
4	1623	189
5	6050	189
0	8402	189

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

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

localize210.0ms (3.1%)

Memory

-13.2MiB live, 186.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
accuracy	0.25	(pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	0.26171875	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	14.02058998314775	(fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	0.0078125	(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
accuracy	0.23828125	(/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
accuracy	0.26171875	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	0.34375	(fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (*.f64 N N))
accuracy	0.25	(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)
accuracy	0.26171875	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0.2734375	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
accuracy	0.26171875	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy	59.84885175107107	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy	0	(fma.f64 N N #s(literal 1 binary64))
accuracy	0.05078125	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
accuracy	0.26171875	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Samples

176.0ms

256×

valid

Compiler

Compiled 248 to 37 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-add: 13.0ms (26.2% of total)

ival-atan2: 12.0ms (24.2% of total)

ival-mult: 11.0ms (22.2% of total)

ival-pow: 7.0ms (14.1% of total)

ival-div: 3.0ms (6.1% of total)

ival-sub: 2.0ms (4% of total)

exact: 1.0ms (2% of total)

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

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

series20.0ms (0.3%)

Memory

1.5MiB live, 37.0MiB allocated

Counts

21 → 252

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

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

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify176.0ms (2.6%)

Memory

7.3MiB live, 154.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 726×	`lower-fma.f64`
13 726×	`lower-fma.f32`
3 616×	`lower-*.f64`
3 616×	`lower-*.f32`
2 232×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	1805
1	359	1699
2	832	1678
3	3095	1665
4	7696	1665
0	8073	1546

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 237

Calls

Call 1

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

Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow N 2))
(fma.f64 N N #s(literal 1 binary64))
(+ 1 (pow N 2))
(fma.f64 N N #s(literal 1 binary64))
(+ 1 (pow N 2))
(fma.f64 N N #s(literal 1 binary64))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
N
N
N
N
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow N 2)))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(+ 1 (* -1 (pow N 2)))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(+ 1 (* -1 (pow N 2)))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (pow N 3))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (pow N 3))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (pow N 3))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(atan2 1 (+ 1 (+ (/ N (+ 1 (* N (- N 1)))) (/ (pow N 4) (+ 1 (* N (- N 1)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (+ 1 (* N (- N 1)))) (/ (pow N 4) (+ 1 (* N (- N 1)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (+ 1 (* N (- N 1)))) (/ (pow N 4) (+ 1 (* N (- N 1)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (+ 1 (* N (- N 1)))) (/ (pow N 4) (+ 1 (* N (- N 1)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
N
(* N (+ 1 (pow N 3)))
(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
(* N (+ 1 (pow N 3)))
(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
(* N (+ 1 (pow N 3)))
(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
N
(* N (+ 1 (* -1 (pow N 2))))
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
(* N (+ 1 (* -1 (pow N 2))))
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
(* N (+ 1 (* -1 (pow N 2))))
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
N
(* N (+ 1 N))
(fma.f64 N N N)
(* N (+ 1 (* N (+ 1 (* -1 (pow N 2))))))
(fma.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) N N)
(* N (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1))))))
(*.f64 (-.f64 #s(literal -1 binary64) N) (fma.f64 #s(literal -1 binary64) N (pow.f64 N #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 N))
(-.f64 #s(literal 1 binary64) N)
(+ 1 (* N (- N 1)))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(+ 1 (* N (- N 1)))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 (* -1 (pow N 2)))))
(-.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64))
(+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1)))))
(*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
N
N
N
N
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(* -1 (pow N 2))
(*.f64 (neg.f64 N) N)
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(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 (fma.f64 N N N) #s(literal -1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(* -1 (pow N 3))
(pow.f64 (neg.f64 N) #s(literal 3 binary64))
(* (pow N 3) (- (/ 1 (pow N 2)) 1))
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
(* (pow N 3) (- (/ 1 (pow N 2)) 1))
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
(* (pow N 3) (- (/ 1 (pow N 2)) 1))
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 (/ 1 N)) N)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)
(/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) N)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) N) N)) N) #s(literal -1 binary64)) N)
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) N)
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)))) N)
(pow N 2)
(*.f64 N N)
(* (pow N 2) (- 1 (/ 1 N)))
(fma.f64 N N (neg.f64 N))
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(/ 1 (pow N 2))
(/.f64 (/.f64 #s(literal 1 binary64) N) N)
(/ (+ 1 (/ 1 N)) (pow N 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N)
(/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) (pow N 2))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 5 binary64))))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) (pow N 2))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)))) (.f64 N N))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
N
N
N
N
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(* -1 (pow N 2))
(*.f64 (neg.f64 N) N)
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(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 (fma.f64 N N N) #s(literal -1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(atan2 1 (- (+ 1 (/ (pow N 4) (+ 1 (+ (* -1 N) (pow N 2))))) (* -1 (/ N (+ 1 (+ (* -1 N) (pow N 2)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (- (+ 1 (/ (pow N 4) (+ 1 (+ (* -1 N) (pow N 2))))) (* -1 (/ N (+ 1 (+ (* -1 N) (pow N 2)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (- (+ 1 (/ (pow N 4) (+ 1 (+ (* -1 N) (pow N 2))))) (* -1 (/ N (+ 1 (+ (* -1 N) (pow N 2)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (- (+ 1 (/ (pow N 4) (+ 1 (+ (* -1 N) (pow N 2))))) (* -1 (/ N (+ 1 (+ (* -1 N) (pow N 2)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(* -1 (pow N 3))
(pow.f64 (neg.f64 N) #s(literal 3 binary64))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 2)))))
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 2)))))
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 2)))))
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 (/ 1 N)) N)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) N) N)) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))) N)) 1) N))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)))) N)
(pow N 2)
(*.f64 N N)
(* (pow N 2) (- 1 (/ 1 N)))
(fma.f64 N N (neg.f64 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 (pow N 2))
(/.f64 (/.f64 #s(literal 1 binary64) N) N)
(/ (+ 1 (/ 1 N)) (pow N 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N)
(/ (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) (pow N 2))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 5 binary64))))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) 1) N))) (pow N 2))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)))) (.f64 N N))

rewrite277.0ms (4.1%)

Memory

5.9MiB live, 256.5MiB allocated

Rules

5 432×	`lower-/.f32`
5 428×	`lower-/.f64`
4 668×	`lower-*.f32`
4 664×	`lower-*.f64`
4 094×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	203
0	59	185
1	252	181
2	2137	181
0	9071	181

Stop Event

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

Counts

21 → 762

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

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(.f64 (/.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 N N)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (pow.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 N N) (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 N N))) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 N N) (+.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
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(fma.f64 (/.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64)) (neg.f64 N))
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(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (.f64 N N))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 N N)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (*.f64 N N))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 (pow.f64 (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (.f64 N N))
(fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 N (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 N (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (/.f64 N (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 N (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 N (pow.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 N (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))
(fma.f64 (/.f64 N (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) (/.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 N (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 N (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 N (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 N (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 N (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (/.f64 N (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 N))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 N N))
(fma.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (neg.f64 N))
(fma.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal 1 binary64)) (/.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (fma.f64 N N #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (*.f64 N N))
(fma.f64 N (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal 1 binary64)) N))) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 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 (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(+.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
(exp.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
(.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal 1 binary64)) N)))
(*.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
(pow.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal -1/2 binary64) (.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal -1 binary64)))

eval297.0ms (4.4%)

Memory: -14.3MiB live, 207.2MiB allocated
Compiler: Compiled 28 883 to 3 230 computations (88.8% saved)

prune102.0ms (1.5%)

Memory

-7.9MiB live, 83.6MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1 139	16	1 155
Fresh	11	1	12
Picked	4	1	5
Done	0	1	1
Total	1 154	19	1 173

Accuracy

99.8%

Counts

1 173 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) #s(literal -1 binary64))) #s(literal 1 binary64)))
	95.8%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N))) (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
	98.9%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
	78.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
	92.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (/ N (+ (* (- N 1) N) 1)) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
	78.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
	56.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 N N))) N))
	95.9%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
▶	8.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N))
	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
	92.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
✓	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 550 to 327 computations (40.5% saved)

simplify246.0ms (3.6%)

Memory

17.0MiB live, 181.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)) #s(literal 1 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N))
cost-diff	0	(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
cost-diff	0	(*.f64 N N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))
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	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff	1472	(/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))
cost-diff	6976	(/.f64 N (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))

Rules

23 976×	`lower-fma.f32`
23 964×	`lower-fma.f64`
4 560×	`lower-*.f32`
4 558×	`lower-*.f64`
2 504×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	274
0	63	237
1	101	219
2	169	219
3	464	215
4	3240	215
5	6863	215
0	9133	211

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (2%)

Memory

10.0MiB live, 132.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N))
accuracy	0.11328125	(/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)
accuracy	0.2578125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
accuracy	0.33984375	(fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)) #s(literal 1 binary64))
accuracy	0	(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0.2578125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
accuracy	0.234375	(/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
accuracy	0.2421875	(fma.f64 (*.f64 N N) N #s(literal 1 binary64))
accuracy	0.2578125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	0.33984375	(fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.046875	(+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N)
accuracy	0.2578125	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N))
accuracy	59.38743686861447	#s(approx (+ (* N N) 1) #s(literal 1 binary64))
accuracy	0	(/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0.2265625	(/.f64 N (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0.2578125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))

Samples

110.0ms	254×	0	valid
3.0ms	2×	5	exit

Compiler

Compiled 297 to 38 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 38.0ms (40% of total)

ival-add: 29.0ms (30.6% of total)

ival-atan2: 10.0ms (10.5% of total)

ival-div: 9.0ms (9.5% of total)

ival-pow: 5.0ms (5.3% of total)

adjust: 1.0ms (1.1% of total)

ival-sub: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

-9.5MiB live, 26.6MiB allocated

Counts

22 → 264

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify204.0ms (3%)

Memory

2.9MiB live, 200.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 564×	`lower-fma.f64`
16 564×	`lower-fma.f32`
4 128×	`lower-*.f64`
4 128×	`lower-*.f32`
1 924×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1825
1	345	1748
2	762	1726
3	3408	1710
0	8279	1586

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 255

Calls

Call 1

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

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

rewrite290.0ms (4.3%)

Memory

-3.2MiB live, 388.2MiB allocated

Rules

5 444×	`lower-fma.f32`
5 432×	`lower-fma.f64`
4 390×	`lower-/.f32`
4 380×	`lower-/.f64`
2 892×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	228
0	63	159
1	260	137
2	1813	137
0	8406	133

Stop Event

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

Counts

22 → 1 098

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) N) (-.f64 (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) N) (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) N)))
(*.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (neg.f64 N))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal -1 binary64))) (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 N N #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal -1 binary64))) (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 N N) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (pow.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (pow.f64 (-.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 N) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(.f64 (.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) N) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))
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(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64))
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(*.f64 (pow.f64 (pow.f64 (neg.f64 N) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 N (-.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 N (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 N N) N)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 N) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (neg.f64 N) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1 binary64)) (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(*.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (pow.f64 N #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) N)))
(.f64 (.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 N N) N)) N)))
(.f64 (-.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) N)))))
(.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (neg.f64 N))))
(*.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (pow.f64 (neg.f64 N) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (neg.f64 N)) #s(literal -1 binary64))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (neg.f64 N)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (neg.f64 N)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N))
(pow.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(pow.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) N)) (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) N)) (neg.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) N))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) N)) N)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) N) (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) N)))
(/.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 N (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 N N) N)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) N))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) N)) N))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(/.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 N (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 N N) N))))
(/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 N)))
(/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (neg.f64 N))
(/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (neg.f64 N)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 N N) N)) (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) N) (.f64 (-.f64 (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 N N) N)) N) (.f64 (+.f64 (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 N N) N))) (+.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (neg.f64 N)))
(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64)) (.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 N))) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 N))))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) N) (/.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) N))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (neg.f64 N)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (-.f64 (log1p.f64 (-.f64 (.f64 N N) N)) (log.f64 N)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (-.f64 (*.f64 N N) N)) (log.f64 N)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (-.f64 (log1p.f64 (-.f64 (.f64 N N) N)) (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal -1 binary64)))

eval224.0ms (3.3%)

Memory: 11.0MiB live, 526.7MiB allocated
Compiler: Compiled 34 486 to 3 557 computations (89.7% saved)

prune50.0ms (0.7%)

Memory

7.3MiB live, 133.4MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1 482	9	1 491
Fresh	6	6	12
Picked	3	2	5
Done	0	2	2
Total	1 491	19	1 510

Accuracy

99.8%

Counts

1 510 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
	92.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) #s(approx (/ N (+ ( (- N 1) N) 1)) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
	78.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64))) #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))) (*.f64 N #s(literal -1 binary64)))) #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
	92.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (+ N 1) -1) (/.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
	92.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (/ N (+ (* (- N 1) N) 1)) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (-.f64 N #s(literal -1 binary64))) (sqrt.f64 (-.f64 N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N (sqrt.f64 (-.f64 N #s(literal -1 binary64)))) (sqrt.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
	77.9%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
	78.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
	56.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 N N))) N))
	95.9%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
✓	8.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N))
	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
	92.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
✓	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 950 to 338 computations (64.4% saved)

regimes59.0ms (0.9%)

Memory

-11.3MiB live, 66.7MiB allocated

Counts

44 → 1

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	N
25.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

9 → 1

Calls

Call 1

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

6.0ms	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 8 to 7 computations (12.5% saved)

regimes42.0ms (0.6%)

Memory

-19.2MiB live, 19.5MiB allocated

Counts

8 → 1

Calls

Call 1

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

Calls

2 calls:

6.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
95.9%	1	`N`
95.9%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
92.4%	1	`N`
92.4%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes21.0ms (0.3%)

Memory

-28.6MiB live, 13.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

19.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify48.0ms (0.7%)

Memory

7.2MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness800.0ms (11.8%)

Memory

-4.5MiB live, 436.2MiB allocated

Rules

11 462×	`lower-fma.f64`
11 462×	`lower-fma.f32`
4 728×	`lower-fma.f32`
4 726×	`lower-fma.f64`
4 684×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	9	17
1	37	17
2	262	17
3	2791	17
0	8379	17
0	25	208
1	67	200
2	117	200
3	451	200
4	2326	200
5	5354	200
0	8132	180
0	6	16
0	10	16
1	44	16
2	284	16
3	2885	16
0	8353	16

Stop Event

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

Compiler

Compiled 164 to 92 computations (43.9% saved)

preprocess49.0ms (0.7%)

Memory: -5.4MiB live, 150.8MiB allocated
Compiler: Compiled 108 to 62 computations (42.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	189	186
5	335	186
6	383	186
7	420	186
8	474	186
9	489	186
10	497	186
0	497	186

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

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

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	189	186
5	335	186
6	383	186
7	420	186
8	474	186
9	489	186
10	497	186
0	497	186

start0.0ms (0%)

analyze2.0ms (0%)

sample2.1s (31.6%)

explain132.0ms (2%)

preprocess26.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.1%)

localize55.0ms (0.8%)

series2.0ms (0%)

simplify17.0ms (0.3%)

rewrite277.0ms (4.1%)

eval40.0ms (0.6%)

prune8.0ms (0.1%)

simplify5.0ms (0.1%)

localize31.0ms (0.5%)

series2.0ms (0%)

simplify111.0ms (1.6%)

rewrite144.0ms (2.1%)

eval76.0ms (1.1%)

prune43.0ms (0.6%)

simplify356.0ms (5.3%)

localize210.0ms (3.1%)

series20.0ms (0.3%)

simplify176.0ms (2.6%)

rewrite277.0ms (4.1%)

eval297.0ms (4.4%)

prune102.0ms (1.5%)

simplify246.0ms (3.6%)

localize136.0ms (2%)

series20.0ms (0.3%)

simplify204.0ms (3%)

rewrite290.0ms (4.3%)

eval224.0ms (3.3%)

prune50.0ms (0.7%)

regimes59.0ms (0.9%)

regimes9.0ms (0.1%)

regimes42.0ms (0.6%)

regimes7.0ms (0.1%)

regimes21.0ms (0.3%)

regimes5.0ms (0.1%)

simplify48.0ms (0.7%)

soundness800.0ms (11.8%)

preprocess49.0ms (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	383	186
7	420	186
8	474	186
9	489	186
10	497	186
0	497	186