Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.0s (32.6%)

Memory

44.8MiB live, 1 801.2MiB allocated

Samples

1.5s	7 470×	1	valid
122.0ms	373×	2	valid
29.0ms	413×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-<: 426.0ms (30.7% of total)

ival-atan: 334.0ms (24.1% of total)

adjust: 218.0ms (15.7% of total)

ival-add: 136.0ms (9.8% of total)

const: 114.0ms (8.2% of total)

ival-sub: 93.0ms (6.7% of total)

ival->: 41.0ms (3% of total)

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

exact: 7.0ms (0.5% of total)

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

Bogosity

explain126.0ms (2.1%)

Memory

-13.2MiB live, 183.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms	474×	1	valid
3.0ms	20×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-atan: 19.0ms (42.3% of total)

adjust: 12.0ms (26.7% of total)

ival-sub: 8.0ms (17.8% of total)

ival-add: 5.0ms (11.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess21.0ms (0.3%)

Memory

-5.0MiB live, 30.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.2%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.7%)

Memory

-28.6MiB live, 63.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0	(atan.f64 N)
accuracy	59.38129337978238	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

35.0ms	237×	1	valid
2.0ms	10×	2	valid
0.0ms	9×	0	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 9.0ms (32.5% of total)

ival-atan: 9.0ms (32.5% of total)

adjust: 7.0ms (25.3% of total)

ival-sub: 2.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

4 → 48

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
(- (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)

Calls

3 calls:

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

simplify13.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 46

Calls

Call 1

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

Outputs
(- (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)

rewrite209.0ms (3.5%)

Memory

-14.1MiB live, 180.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 239

Calls

Call 1

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

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

eval36.0ms (0.6%)

Memory: 15.9MiB live, 52.5MiB allocated
Compiler: Compiled 8 018 to 927 computations (88.4% saved)

prune7.0ms (0.1%)

Memory

16.6MiB live, 16.7MiB 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)

simplify4.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB 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)))

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

localize18.0ms (0.3%)

Memory

-21.0MiB live, 17.6MiB 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	0.2734375	(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

0.2734375

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

Samples

13.0ms

256×

valid

Compiler

Compiled 42 to 13 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-atan2: 3.0ms (38.5% of total)

ival-add: 3.0ms (38.5% of total)

ival-mult: 2.0ms (25.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

3 → 36

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 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)))

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))

simplify106.0ms (1.8%)

Memory

4.1MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	208
1	67	200
2	117	200
3	451	200
4	2369	200
5	5408	200
0	8073	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))

rewrite191.0ms (3.2%)

Memory

-4.5MiB live, 152.7MiB allocated

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

eval93.0ms (1.5%)

Memory: 7.0MiB live, 79.5MiB allocated
Compiler: Compiled 7 768 to 1 150 computations (85.2% saved)

prune24.0ms (0.4%)

Memory

-7.4MiB live, 42.6MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	307	16	323
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	307	17	324

Accuracy

99.8%

Counts

324 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	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)))
	99.4%	(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)))
	78.4%	(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)))
	99.3%	(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)))
	99.3%	(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 (fma.f64 N N N) N) (/.f64 (+.f64 N #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))))
	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)))
▶	78.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
	78.4%	(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))))))
▶	99.5%	(atan2.f64 #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)))))
	97.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	7.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	94.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
▶	6.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 554 to 323 computations (41.7% saved)

simplify218.0ms (3.6%)

Memory

28.0MiB live, 133.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 N N N) N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N N) N) (/.f64 (+.f64 N #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))))
cost-diff	3264	(fma.f64 (*.f64 (fma.f64 N N N) N) (/.f64 (+.f64 N #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
cost-diff	5888	(neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff	0	(pow.f64 (fma.f64 N N N) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
cost-diff	7744	(/.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)))
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 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #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)))))
cost-diff	320	(.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))))
cost-diff	7936	(*.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)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	345
0	59	267
1	107	210
2	279	201
3	935	200
4	6056	200
0	8549	200

Stop Event

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

Calls

Call 1

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

localize170.0ms (2.8%)

Memory

-26.0MiB live, 134.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.26171875	(*.f64 (fma.f64 N N N) N)
accuracy	0.2734375	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N N) N) (/.f64 (+.f64 N #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))))
accuracy	0.28125	(pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy	0.41015625	(fma.f64 (*.f64 (fma.f64 N N N) N) (/.f64 (+.f64 N #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
accuracy	0.0078125	(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))
accuracy	0.2734375	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
accuracy	0.375663769536884	(pow.f64 (fma.f64 N N N) #s(literal 2 binary64))
accuracy	13.895558161963674	(/.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)))
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (*.f64 N N))
accuracy	0.23828125	(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)
accuracy	0.25	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
accuracy	0.2734375	(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	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy	60.0166558777075	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy	0.0078125	(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))
accuracy	0.25390625	(*.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)))
accuracy	0.2734375	(atan2.f64 #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)))))
accuracy	0.28125	(pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))

Samples

113.0ms

256×

valid

Compiler

Compiled 723 to 69 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-div: 39.0ms (40.2% of total)

ival-mult: 33.0ms (34% of total)

ival-add: 9.0ms (9.3% of total)

ival-atan2: 7.0ms (7.2% of total)

ival-sub: 2.0ms (2.1% of total)

ival-pow2: 2.0ms (2.1% of total)

ival-pow: 2.0ms (2.1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

21 → 252

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify190.0ms (3.2%)

Memory

20.5MiB live, 219.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	1767
1	478	1723
2	1309	1648
3	4462	1618
0	8212	1468

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 239

Calls

Call 1

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

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

rewrite267.0ms (4.4%)

Memory

-24.2MiB live, 160.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	279
0	59	235
1	249	172
2	1971	172
0	8233	172

Stop Event

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

Counts

21 → 1 173

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) 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 #s(literal 1 binary64) N) 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 (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))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal -1 binary64))) (pow.f64 (fma.f64 N N N) #s(literal 2 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 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (pow.f64 (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 (.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #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 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -3 binary64)) (neg.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -3 binary64)))) (pow.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) (.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -2 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 #s(literal 1 binary64) (fma.f64 N N N)) (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))) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) 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 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) 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 #s(literal 1 binary64) N) 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 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) (.f64 (pow.f64 (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) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #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 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -2 binary64)))) (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -3 binary64)) (neg.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) 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 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (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 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) 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 #s(literal 1 binary64) N) 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 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -2 binary64))))) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)))))
(/.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 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #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 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #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 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -3 binary64)) (neg.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) 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 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))))
(/.f64 (neg.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 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 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 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (+.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 (+.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)) (*.f64 (fma.f64 N N N) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal -1 binary64))) (pow.f64 (fma.f64 N N N) #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 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal -1 binary64))) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal -1 binary64))) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log1p.f64 N)) (exp.f64 (log.f64 N)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log1p.f64 N)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 (fma.f64 N N N)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 N N N)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 N N)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 N N) N) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 N (-.f64 N (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (fma.f64 N N N)) #s(literal -1 binary64))
(fma.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 N N)) (pow.f64 (-.f64 (.f64 N N) N) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) (pow.f64 (fma.f64 N (-.f64 N (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 N N N) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (-.f64 N #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) N (fma.f64 N N #s(literal -1 binary64)))
(fma.f64 N (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 N (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(fma.f64 N #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64)))
(fma.f64 N N (-.f64 N #s(literal 1 binary64)))
(expm1.f64 (+.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 N N N))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (+.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 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (+.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 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (+.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)))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 (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)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 N N)) N)
(+.f64 (+.f64 #s(literal -1 binary64) N) (*.f64 N N))
(+.f64 (fma.f64 N N N) #s(literal -1 binary64))
(+.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 N N N))
(+.f64 N (fma.f64 N N #s(literal -1 binary64)))
(exp.f64 (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)
(.f64 N (-.f64 #s(literal 1 binary64) (.f64 N N)))
(/.f64 (neg.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))))) (neg.f64 (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) N)) (neg.f64 (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) N)) (neg.f64 (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))) (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))) (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) N) (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) N) (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) N (.f64 N (.f64 (neg.f64 N) N)))
(fma.f64 #s(literal 1 binary64) N (.f64 (.f64 (neg.f64 N) N) N))
(fma.f64 N #s(literal 1 binary64) (.f64 N (.f64 (neg.f64 N) N)))
(fma.f64 N #s(literal 1 binary64) (.f64 (.f64 (neg.f64 N) N) N))
(+.f64 N (.f64 N (.f64 (neg.f64 N) N)))
(+.f64 N (.f64 (.f64 (neg.f64 N) N) N))

eval333.0ms (5.5%)

Memory: -11.3MiB live, 287.5MiB allocated
Compiler: Compiled 60 888 to 4 211 computations (93.1% saved)

prune138.0ms (2.3%)

Memory

1.4MiB live, 119.5MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 792	13	1 805
Fresh	10	1	11
Picked	4	1	5
Done	0	1	1
Total	1 806	16	1 822

Accuracy

99.8%

Counts

1 822 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	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)))
	99.4%	(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 #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)))
	97.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N N) N) (/.f64 (+.f64 N #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) #s(approx (neg (pow (+ ( (+ N 1) N) -1) -1)) #s(literal 1 binary64))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)) (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
	78.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 N N N)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
▶	78.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
	78.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
▶	73.0%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
	99.5%	(atan2.f64 #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)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))))))
	97.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (+ N 1) N) -1)) (fma.f64 N N N)))
▶	7.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (+ N 1) N) -1)) (-.f64 N #s(literal -1 binary64))))
	94.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (+ N 1) N) -1)) (*.f64 N N)))
✓	6.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 619 to 353 computations (43% saved)

simplify158.0ms (2.6%)

Memory

22.3MiB live, 171.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 N #s(literal 4 binary64))
cost-diff	0	#s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64)))
cost-diff	0	(/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
cost-diff	64	(.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N N)))
cost-diff	1984	(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))
cost-diff	0	(fma.f64 N N N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
cost-diff	7744	(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
cost-diff	0	(-.f64 N #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (+ N 1) N) -1)) (-.f64 N #s(literal -1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (+ N 1) N) -1)) (-.f64 N #s(literal -1 binary64))))
cost-diff	0	(fma.f64 N N N)
cost-diff	0	(sqrt.f64 (fma.f64 N N N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
cost-diff	1856	(fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (fma.f64 N N N)) #s(literal 1 binary64))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	280
0	61	220
1	103	220
2	231	206
3	703	202
4	2292	202
5	6396	202
0	8074	202

Stop Event

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

Calls

Call 1

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

localize123.0ms (2%)

Memory

-3.1MiB live, 169.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))
accuracy	0.2734375	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
accuracy	3.5183238819270484	#s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64)))
accuracy	13.895558161963674	(/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
accuracy	0.25	(.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N N)))
accuracy	0.2578125	(/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))
accuracy	0.2734375	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
accuracy	0.41015625	(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64))
accuracy	0.0078125	(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))
accuracy	0.2734375	(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
accuracy	0.379570019536884	(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
accuracy	13.895558161963674	(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
accuracy	0	(-.f64 N #s(literal -1 binary64))
accuracy	0.2734375	(atan2.f64 #s(literal 1 binary64) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (+ N 1) N) -1)) (-.f64 N #s(literal -1 binary64))))
accuracy	59.01633889994934	#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (+ N 1) N) -1)) (-.f64 N #s(literal -1 binary64)))
accuracy	0	(fma.f64 N N N)
accuracy	0.01953125	(sqrt.f64 (fma.f64 N N N))
accuracy	0.05144501953688403	(fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (fma.f64 N N N)) #s(literal 1 binary64))
accuracy	0.2734375	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (fma.f64 N N N)) #s(literal 1 binary64)))

Samples

72.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 582 to 70 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 22.0ms (40% of total)

ival-add: 12.0ms (21.8% of total)

ival-atan2: 6.0ms (10.9% of total)

ival-div: 4.0ms (7.3% of total)

ival-sub: 3.0ms (5.5% of total)

ival-pow: 3.0ms (5.5% of total)

ival-pow2: 3.0ms (5.5% of total)

ival-sqrt: 2.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

-30.2MiB live, 17.0MiB allocated

Counts

20 → 240

Calls

Call 1

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

Outputs
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(sqrt N)
(+ (sqrt N) (* 1/2 (sqrt (pow N 3))))
(+ (sqrt N) (* (pow N 2) (+ (* -1/8 (sqrt N)) (* 1/2 (sqrt (/ 1 N))))))
(+ (sqrt N) (* (pow N 2) (+ (* 1/2 (sqrt (/ 1 N))) (* (pow N 2) (+ (* -1/8 (sqrt (/ 1 (pow N 3)))) (* 1/16 (sqrt (/ 1 N))))))))
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
-1
(- N 1)
(- (* N (+ 1 N)) 1)
(- (* N (+ 1 N)) 1)
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 (* -1 N))))
(+ 1 (* N (+ 1 (* N (- (* -1 N) 1)))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
-1
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
-1
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
N
(* N (+ 1 (pow N 2)))
(* N (+ 1 (* (pow N 2) (+ 1 (pow N 2)))))
(* N (+ 1 (* (pow N 2) (+ 1 (* (pow N 2) (+ 1 (pow N 2)))))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/8 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))) (/ 1/8 (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))
(* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 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 3))
(* -1 (* (pow N 3) (+ 1 (/ 1 N))))
(* (pow N 3) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))
(* (pow N 3) (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) (+ 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))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(/ -1 N)
(* -1 (/ (+ 1 (/ 1 (pow N 2))) N))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) (pow N 2))) 1) N)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) (pow N 4))) (+ 1 (/ 1 (pow N 2)))) N)
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* -1 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/8 (/ 1 N)) 1/2) N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/2) N)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))
(pow N 2)
(* (pow N 2) (+ 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 3))
(* -1 (* (pow N 3) (+ 1 (/ 1 N))))
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- (/ 1 N) 1) N)))))
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- (+ (/ 1 N) (/ 1 (pow N 2))) 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)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(/ -1 N)
(* -1 (/ (+ 1 (/ 1 (pow N 2))) N))
(* -1 (/ (+ 1 (+ (/ 1 (pow N 2)) (/ 1 (pow N 4)))) N))
(* -1 (/ (+ 1 (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6))))) N))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify145.0ms (2.4%)

Memory

41.7MiB live, 229.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	2081
1	574	2043
2	1722	1968
3	6166	1959
0	8220	1774

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 233

Calls

Call 1

Inputs
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(sqrt N)
(+ (sqrt N) (* 1/2 (sqrt (pow N 3))))
(+ (sqrt N) (* (pow N 2) (+ (* -1/8 (sqrt N)) (* 1/2 (sqrt (/ 1 N))))))
(+ (sqrt N) (* (pow N 2) (+ (* 1/2 (sqrt (/ 1 N))) (* (pow N 2) (+ (* -1/8 (sqrt (/ 1 (pow N 3)))) (* 1/16 (sqrt (/ 1 N))))))))
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
-1
(- N 1)
(- (* N (+ 1 N)) 1)
(- (* N (+ 1 N)) 1)
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 (* -1 N))))
(+ 1 (* N (+ 1 (* N (- (* -1 N) 1)))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
-1
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
-1
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
N
(* N (+ 1 (pow N 2)))
(* N (+ 1 (* (pow N 2) (+ 1 (pow N 2)))))
(* N (+ 1 (* (pow N 2) (+ 1 (* (pow N 2) (+ 1 (pow N 2)))))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/8 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))) (/ 1/8 (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))
(* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 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 3))
(* -1 (* (pow N 3) (+ 1 (/ 1 N))))
(* (pow N 3) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))
(* (pow N 3) (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) (+ 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))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(/ -1 N)
(* -1 (/ (+ 1 (/ 1 (pow N 2))) N))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) (pow N 2))) 1) N)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) (pow N 4))) (+ 1 (/ 1 (pow N 2)))) N)
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* -1 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/8 (/ 1 N)) 1/2) N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/2) N)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))
(pow N 2)
(* (pow N 2) (+ 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 3))
(* -1 (* (pow N 3) (+ 1 (/ 1 N))))
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- (/ 1 N) 1) N)))))
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- (+ (/ 1 N) (/ 1 (pow N 2))) 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)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(/ -1 N)
(* -1 (/ (+ 1 (/ 1 (pow N 2))) N))
(* -1 (/ (+ 1 (+ (/ 1 (pow N 2)) (/ 1 (pow N 4)))) N))
(* -1 (/ (+ 1 (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6))))) N))

Outputs
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(sqrt N)
(sqrt.f64 N)
(+ (sqrt N) (* 1/2 (sqrt (pow N 3))))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 N))
(+ (sqrt N) (* (pow N 2) (+ (* -1/8 (sqrt N)) (* 1/2 (sqrt (/ 1 N))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 N))) (.f64 N N) (sqrt.f64 N))
(+ (sqrt N) (* (pow N 2) (+ (* 1/2 (sqrt (/ 1 N))) (* (pow N 2) (+ (* -1/8 (sqrt (/ 1 (pow N 3)))) (* 1/16 (sqrt (/ 1 N))))))))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (.f64 N N)) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (fma.f64 #s(literal 1/16 binary64) (.f64 N N) #s(literal 1/2 binary64)))) (*.f64 N N) (sqrt.f64 N))
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)
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 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 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- N 1)
(-.f64 N #s(literal 1 binary64))
(- (* N (+ 1 N)) 1)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(- (* N (+ 1 N)) 1)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 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 (+ 1 (* -1 N))))
(fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(+ 1 (* N (+ 1 (* N (- (* -1 N) 1)))))
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) N #s(literal 1 binary64)) N #s(literal 1 binary64))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
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(-.f64 N #s(literal -1 binary64))
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(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
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(pow.f64 N #s(literal 4 binary64))
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(- (* (pow N 2) (+ 1 (* 2 N))) 1)
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(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
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(* N (+ 1 (pow N 2)))
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(* N (+ 1 (* (pow N 2) (+ 1 (* (pow N 2) (+ 1 (pow N 2)))))))
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(* (pow N 2) (+ 1 (/ 1 N)))
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(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
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(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
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(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
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(pow N 2)
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(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
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(* -1 (pow N 3))
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(.f64 (.f64 (-.f64 #s(literal -1 binary64) N) N) N)
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(atan2 1 (+ 1 (+ N (pow N 2))))
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(atan2 1 (+ 1 (+ N (pow N 2))))
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(atan2 1 (+ 1 (+ N (pow N 2))))
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(* (pow N 2) (+ 1 (/ 1 N)))
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(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
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(pow N 4)
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(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
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(.f64 (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) N) N)
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(fma.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) N) N)) N) #s(literal -2 binary64)) (pow.f64 N #s(literal 3 binary64)) (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))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(*.f64 (+.f64 #s(literal 2 binary64) N) (pow.f64 N #s(literal 3 binary64)))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
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(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
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(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
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(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
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(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- (+ (/ 1 N) (/ 1 (pow N 2))) 1) N)))))
(fma.f64 (-.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 3 binary64)) N)
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
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 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(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 4)
(pow.f64 N #s(literal 4 binary64))
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(*.f64 (+.f64 #s(literal 2 binary64) N) (pow.f64 N #s(literal 3 binary64)))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) N) N)
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(fma.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) N) N)) N) #s(literal -2 binary64)) (pow.f64 N #s(literal 3 binary64)) (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))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(*.f64 (+.f64 #s(literal 2 binary64) N) (pow.f64 N #s(literal 3 binary64)))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) N) N)
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(fma.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) N) N)) N) #s(literal -2 binary64)) (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(* -1 (/ (+ 1 (/ 1 (pow N 2))) N))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) N) (*.f64 N N))
(* -1 (/ (+ 1 (+ (/ 1 (pow N 2)) (/ 1 (pow N 4)))) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) N) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) N)
(* -1 (/ (+ 1 (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6))))) N))
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) N) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))) N)

rewrite214.0ms (3.5%)

Memory

14.8MiB live, 391.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	242
0	61	206
1	237	188
2	1784	188
0	8686	188

Stop Event

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

Counts

20 → 872

Calls

Call 1

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

Outputs
(*.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)) (.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 (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))) (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 N N N))))
(*.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 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.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 (+.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 (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 (-.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 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #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))
(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 (-.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)) (.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 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (neg.f64 (-.f64 (pow.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))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -2 binary64)))) (neg.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))) (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.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))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 N N N))))))
(/.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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 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 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.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))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 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 (neg.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)))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 2 binary64))))
(/.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 (neg.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.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 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (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)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.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)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N 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)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal -1 binary64))))
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(fma.f64 (sqrt.f64 (fma.f64 N N N)) (.f64 (sqrt.f64 (fma.f64 N N N)) (.f64 N N)) (-.f64 (*.f64 (fma.f64 N N N) N) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 N N N)) (.f64 (sqrt.f64 (fma.f64 N N N)) (.f64 N N)) (fma.f64 (fma.f64 N N N) N #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 N N N) (.f64 N N) (-.f64 (.f64 (fma.f64 N N N) N) #s(literal 1 binary64)))
(fma.f64 (fma.f64 N N N) (*.f64 N N) (fma.f64 (fma.f64 N N N) N #s(literal -1 binary64)))
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
(fma.f64 N (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 N (*.f64 (-.f64 N #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64))
(fma.f64 N (.f64 (fma.f64 N N N) N) (-.f64 (.f64 (fma.f64 N N N) N) #s(literal 1 binary64)))
(fma.f64 N (*.f64 (fma.f64 N N N) N) (fma.f64 (fma.f64 N N N) N #s(literal -1 binary64)))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 N N N))) #s(literal 4 binary64)))
(expm1.f64 (log.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 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 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (+.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)))) (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 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal -1 binary64)))) (.f64 (fma.f64 N N N) N))
(+.f64 (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 (.f64 (fma.f64 N N N) N) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal -1 binary64))) (fma.f64 (fma.f64 N N N) N #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))
(*.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))) (fma.f64 N N #s(literal 1 binary64)))
(*.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))) (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)) N)
(.f64 (neg.f64 N) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 N N))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (.f64 N N))))
(.f64 N (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) 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))
(/.f64 (neg.f64 (neg.f64 (neg.f64 N))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))))))
(/.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 (neg.f64 N) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N))
(/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))
(neg.f64 (/.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(neg.f64 (/.f64 N (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)) #s(literal -1 binary64)))

eval336.0ms (5.6%)

Memory: 15.9MiB live, 500.9MiB allocated
Compiler: Compiled 44 977 to 4 390 computations (90.2% saved)

prune69.0ms (1.1%)

Memory

-15.5MiB live, 156.4MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1 655	10	1 665
Fresh	4	5	9
Picked	3	2	5
Done	0	2	2
Total	1 662	19	1 681

Accuracy

99.8%

Counts

1 681 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 N #s(literal 1 binary64))) (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N 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 #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)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)) (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N)) #s(literal 1 binary64)))
	97.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N N))) #s(approx (/ N (- 1 (* N N))) (/.f64 #s(literal -1 binary64) 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 N)) (sqrt.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 N N N) (-.f64 N #s(literal -1 binary64)))) (sqrt.f64 N) #s(literal 1 binary64)))
	97.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ 1 N) (- 1 (* N N))) (.f64 (.f64 (-.f64 #s(literal -1 binary64) N) N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
	73.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) #s(approx (+ (* (+ N 1) N) -1) (*.f64 N N))))
	78.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
	73.2%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64))) #s(approx (+ (* (+ N 1) N) -1) (*.f64 N N))))
	77.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) N) N)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
	99.5%	(atan2.f64 #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)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))))))
	97.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (+ N 1) N) -1)) (fma.f64 N N N)))
✓	7.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (+ N 1) N) -1)) (-.f64 N #s(literal -1 binary64))))
	94.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (+ N 1) N) -1)) (*.f64 N N)))
✓	6.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 1 200 to 418 computations (65.2% saved)

regimes29.0ms (0.5%)

Memory

-27.7MiB live, 53.0MiB allocated

Counts

41 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
11.0ms	N

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.4%	1	`N`
97.4%	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

11.1MiB live, 11.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.3%	1	`N`
94.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

-31.8MiB live, 6.9MiB 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:

4.0ms	N
1.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
6.2%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
6.2%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify25.0ms (0.4%)

Memory

16.6MiB live, 55.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

soundness644.0ms (10.7%)

Memory

-4.9MiB live, 374.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	208
1	67	200
2	117	200
3	451	200
4	2369	200
5	5408	200
0	8073	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

Compiler

Compiled 153 to 77 computations (49.7% saved)

preprocess65.0ms (1.1%)

Memory: 3.3MiB live, 118.5MiB allocated
Compiler: Compiled 148 to 64 computations (56.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

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

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

start0.0ms (0%)

analyze2.0ms (0%)

sample2.0s (32.6%)

explain126.0ms (2.1%)

preprocess21.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize44.0ms (0.7%)

series1.0ms (0%)

simplify13.0ms (0.2%)

rewrite209.0ms (3.5%)

eval36.0ms (0.6%)

prune7.0ms (0.1%)

simplify4.0ms (0.1%)

localize18.0ms (0.3%)

series1.0ms (0%)

simplify106.0ms (1.8%)

rewrite191.0ms (3.2%)

eval93.0ms (1.5%)

prune24.0ms (0.4%)

simplify218.0ms (3.6%)

localize170.0ms (2.8%)

series10.0ms (0.2%)

simplify190.0ms (3.2%)

rewrite267.0ms (4.4%)

eval333.0ms (5.5%)

prune138.0ms (2.3%)

simplify158.0ms (2.6%)

localize123.0ms (2%)

series12.0ms (0.2%)

simplify145.0ms (2.4%)

rewrite214.0ms (3.5%)

eval336.0ms (5.6%)

prune69.0ms (1.1%)

regimes29.0ms (0.5%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

simplify25.0ms (0.4%)

soundness644.0ms (10.7%)

preprocess65.0ms (1.1%)

end0.0ms (0%)

Profiling

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

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

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