Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.8s (32.7%)

Memory

-123.9MiB live, 1 543.8MiB allocated

Samples

1.3s	7 476×	1	valid
70.0ms	399×	2	valid
26.0ms	381×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

adjust: 490.0ms (40.4% of total)

ival-atan: 331.0ms (27.3% of total)

ival-add: 130.0ms (10.7% of total)

const: 108.0ms (8.9% of total)

ival-sub: 78.0ms (6.4% of total)

ival->: 26.0ms (2.1% of total)

ival-<: 25.0ms (2.1% of total)

ival-and: 13.0ms (1.1% of total)

exact: 8.0ms (0.7% of total)

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

Bogosity

explain132.0ms (2.4%)

Memory

16.5MiB live, 176.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms	458×	1	valid
23.0ms	24×	0	valid
5.0ms	30×	2	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-atan: 22.0ms (45.3% of total)

adjust: 13.0ms (26.8% of total)

ival-sub: 8.0ms (16.5% of total)

ival-add: 5.0ms (10.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess23.0ms (0.4%)

Memory

-23.9MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	74	16
4	122	16
5	180	16
6	204	16
7	215	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	109	7
8	158	7
9	174	7
10	182	7
0	182	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.3%	(-.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

9.2MiB live, 9.2MiB 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	109	18
8	158	18
9	174	18
10	182	18
0	182	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.8%)

Memory

-2.2MiB live, 69.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0.0	(atan.f64 N)
accuracy	58.693367232347605	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

30.0ms	229×	1	valid
3.0ms	15×	2	valid
1.0ms	12×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-atan: 9.0ms (41.6% of total)

adjust: 7.0ms (32.4% of total)

ival-add: 3.0ms (13.9% of total)

ival-sub: 2.0ms (9.3% 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

2.6MiB live, 2.6MiB allocated

Counts

4 → 9

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

simplify12.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	34	32
2	44	32
3	89	32
4	189	32
5	369	32
6	417	32
7	457	32
8	516	32
9	532	32
10	540	32
0	540	32

Stop Event

1×	iter limit
1×	saturated

Counts

9 → 8

Calls

Call 1

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

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

rewrite238.0ms (4.3%)

Memory

-54.4MiB live, 223.6MiB 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	8376	16

Stop Event

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

Counts

4 → 239

Calls

Call 1

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

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

eval32.0ms (0.6%)

Memory: 14.8MiB live, 51.2MiB allocated
Compiler: Compiled 7 523 to 927 computations (87.7% saved)

prune6.0ms (0.1%)

Memory

-24.5MiB live, 13.2MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	243	1	244
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	244	1	245

Accuracy

99.6%

Counts

245 → 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

5.9MiB live, 5.9MiB 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

localize16.0ms (0.3%)

Memory

20.7MiB live, 20.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy	0.0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))

New

Metric

Score

Program

accuracy

0.0

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

accuracy

0.0

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

accuracy

0.26953125

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

Samples

11.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (47.8% of total)

ival-atan2: 2.0ms (31.9% of total)

ival-mult: 2.0ms (31.9% 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

1.6MiB live, 1.6MiB allocated

Counts

3 → 11

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))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(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)))))
N
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (* 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))

simplify113.0ms (2%)

Memory

6.7MiB live, 88.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	67	57
2	117	57
3	451	57
4	2415	57
5	5464	57
0	8117	51

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

Inputs
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(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)))))
N
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (* 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)))
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))
(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))
N
(* 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)))

rewrite170.0ms (3.1%)

Memory

2.7MiB live, 194.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	9	17
1	37	17
2	262	17
3	2796	17
0	8410	17

Stop Event

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

Counts

3 → 289

Calls

Call 1

Inputs

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

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

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

Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 3 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (pow.f64 (fma.f64 N N N) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))))
(/.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 (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 (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 (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 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.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))))))
(/.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 (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 (neg.f64 (.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.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))) (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 (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 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (-.f64 (neg.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 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))) (+.f64 (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 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))) (+.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 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))))
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(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
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eval88.0ms (1.6%)

Memory: -3.2MiB live, 72.2MiB allocated
Compiler: Compiled 7 357 to 1 147 computations (84.4% saved)

prune24.0ms (0.4%)

Memory

-4.6MiB live, 44.1MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	278	18	296
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	278	19	297

Accuracy

99.8%

Counts

297 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	99.3%	(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)))
	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.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)) #s(literal 1 binary64)))
▶	99.4%	(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 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #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)))
▶	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)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.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)))
	81.8%	(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))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	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)))))
	96.8%	(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))))
	93.6%	(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 560 to 341 computations (39.1% saved)

simplify96.0ms (1.7%)

Memory

7.2MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 N #s(literal 3 binary64))
cost-diff	0	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	1	(fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
cost-diff	4	(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 N N #s(literal 1 binary64))
cost-diff	0	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
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	(pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))))
cost-diff	4	(/.f64 #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	28	183
0	53	173
1	80	161
2	112	161
3	198	159
4	289	159
5	329	159
6	390	159
7	533	159
8	889	159
9	1337	159
10	1831	159
11	2140	159
12	2255	159
13	2263	159
14	2267	159
15	2274	159
16	2275	159
0	2275	159

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize108.0ms (1.9%)

Memory

-23.9MiB live, 93.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	0.24609375	(/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	0.33041000976844204	(fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0	(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 N N #s(literal 1 binary64))
accuracy	0.0390625	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy	59.788689821368045	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.265625	(pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))

Samples

77.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 196 to 34 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-add: 11.0ms (25.7% of total)

ival-mult: 9.0ms (21.1% of total)

ival-atan2: 9.0ms (21.1% of total)

ival-pow: 7.0ms (16.4% of total)

ival-div: 5.0ms (11.7% of total)

adjust: 1.0ms (2.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

19 → 46

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify173.0ms (3.1%)

Memory

-0.9MiB live, 192.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	462
1	385	433
2	870	426
3	3784	413
0	8454	396

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

Calls

Call 1

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

rewrite349.0ms (6.3%)

Memory

25.0MiB live, 363.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	159
0	53	127
1	224	119
2	1629	119
0	8448	117

Stop Event

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

Counts

19 → 1 220

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (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 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal -1 binary64))))
(*.f64 (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)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (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)) (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 (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N) #s(literal 1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) 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)) (pow.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 N N)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N) (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N))
(*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 N N)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (pow.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N))))))
(*.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 (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N))))) #s(literal -1/2 binary64))
(pow.f64 (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
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eval81.0ms (1.4%)

Memory: 2.2MiB live, 174.2MiB allocated
Compiler: Compiled 9 726 to 1 798 computations (81.5% saved)

prune17.0ms (0.3%)

Memory

5.3MiB live, 43.8MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	453	10	463
Fresh	11	2	13
Picked	3	2	5
Done	0	1	1
Total	467	15	482

Accuracy

99.8%

Counts

482 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	96.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (+ N 1) -1) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))) N #s(literal 1 binary64)))
	93.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (+ N 1) -1) (/.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 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)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #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 (+.f64 N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	93.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ N 1) N) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	81.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
▶	96.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 N N N)))
▶	7.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (-.f64 N #s(literal -1 binary64))))
	93.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (*.f64 N N)))
✓	6.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
	81.7%	#s(approx (atan2 1 (+ (* (+ (pow N 3) 1) (/ N (+ (* (- N 1) N) 1))) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))

Compiler

Compiled 479 to 302 computations (37% saved)

simplify340.0ms (6.1%)

Memory

-3.6MiB live, 153.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (pow (+ N 1) -1) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ N 1) -1) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (+ N 1) -1) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))) N #s(literal 1 binary64)))
cost-diff	1	(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (+ N 1) -1) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))) N #s(literal 1 binary64))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) N) N)
cost-diff	0	#s(approx (pow (+ (* (+ N 1) N) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) N) N))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ N 1) N) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) N) N)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ N 1) N) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
cost-diff	0	(fma.f64 N N N)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 N N N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 N N N)))
cost-diff	0	(-.f64 N #s(literal -1 binary64))
cost-diff	0	#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (-.f64 N #s(literal -1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (-.f64 N #s(literal -1 binary64))))
cost-diff	0	(*.f64 N N)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 N N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
cost-diff	6	(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	266
0	53	259
1	82	241
2	126	241
3	244	241
4	434	239
5	755	239
6	1634	229
7	3875	229
8	5240	229
9	7299	229
0	8053	229

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (1.9%)

Memory

-5.2MiB live, 117.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ N 1) -1) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (+ N 1) -1) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))) N #s(literal 1 binary64)))
accuracy	1.800032066374096	#s(approx (pow (+ N 1) -1) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ N 1) N) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ N 1) N) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) N) N)))
accuracy	0.28125	(/.f64 (/.f64 #s(literal 1 binary64) N) N)
accuracy	3.8923624625924442	#s(approx (pow (+ (* (+ N 1) N) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) N) N))
accuracy	0.0	(fma.f64 N N N)
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 N N N)))
accuracy	1.810064956211686	#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 N N N))
accuracy	0.0	(-.f64 N #s(literal -1 binary64))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (-.f64 N #s(literal -1 binary64))))
accuracy	58.793020176269486	#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (-.f64 N #s(literal -1 binary64)))
accuracy	0.0	(*.f64 N N)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (*.f64 N N))
accuracy	0.05078125	(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
accuracy	0.26953125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))

Samples

85.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 205 to 29 computations (85.9% saved)

Precisions

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

ival-div: 31.0ms (43.3% of total)

ival-add: 14.0ms (19.6% of total)

ival-mult: 11.0ms (15.4% of total)

ival-sub: 5.0ms (7% of total)

ival-pow: 5.0ms (7% of total)

ival-atan2: 5.0ms (7% 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)

series5.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

19 → 38

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify159.0ms (2.8%)

Memory

9.0MiB live, 170.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	344
1	264	327
2	568	315
3	2342	311
0	8332	302

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

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

rewrite188.0ms (3.4%)

Memory

-18.1MiB live, 301.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	236
0	53	221
1	220	203
2	1686	191
0	8301	188

Stop Event

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

Counts

19 → 657

Calls

Call 1

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

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

eval170.0ms (3%)

Memory: 25.7MiB live, 181.8MiB allocated
Compiler: Compiled 17 992 to 2 949 computations (83.6% saved)

prune54.0ms (1%)

Memory

-47.9MiB live, 68.1MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	678	6	684
Fresh	3	4	7
Picked	2	3	5
Done	0	3	3
Total	683	16	699

Accuracy

99.8%

Counts

699 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.6%	(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 (+.f64 N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
	93.7%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ N 1) N) 1) -1) (pow.f64 N #s(literal -2 binary64)))))
✓	93.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ N 1) N) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
✓	96.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 N N N)))
	96.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 #s(literal -1 binary64) (/.f64 N (/.f64 #s(literal -1 binary64) N)) N)))
	96.7%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))))
	96.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)))))
✓	7.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (-.f64 N #s(literal -1 binary64))))
	96.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 (*.f64 N N) N)))
	93.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (*.f64 N N)))
✓	6.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
	99.6%	#s(approx (atan2 1 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))))
	81.7%	#s(approx (atan2 1 (+ (* (+ (pow N 3) 1) (/ N (+ (* (- N 1) N) 1))) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))

Compiler

Compiled 938 to 376 computations (59.9% saved)

regimes22.0ms (0.4%)

Memory

-5.5MiB live, 33.4MiB allocated

Counts

36 → 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 (/ 1 (pow (+ (* (+ N 1) N) 1) -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 (/ 1 (pow (+ (* (+ N 1) N) 1) -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 (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 (*.f64 N N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))))
#s(approx (atan2 1 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 #s(literal -1 binary64) (/.f64 N (/.f64 #s(literal -1 binary64) N)) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (+ N 1) -1) (/.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ N 1) N) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (+ N 1) -1) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ N 1) N) 1) -1) (pow.f64 N #s(literal -2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #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 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
#s(approx (atan2 1 (+ (* (+ (pow N 3) 1) (/ N (+ (* (- N 1) N) 1))) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))
(atan2.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) (pow.f64 N #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (.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 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.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)) #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:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

-28.7MiB live, 10.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
96.8%	1	`N`
96.8%	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

8.2MiB live, 8.2MiB 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 (/ 1 (pow (+ (* (+ N 1) N) 1) -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 (/ 1 (pow (+ (* (+ N 1) N) 1) -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
93.6%	1	`N`
93.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB 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 (/ 1 (pow (+ (* (+ N 1) N) 1) -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	`N`
7.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.2%	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)

simplify79.0ms (1.4%)

Memory

-9.3MiB live, 29.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	67
1	30	67
2	40	67
3	51	67
4	66	67
5	73	67
6	80	67
7	95	67
8	172	67
9	3531	67
10	7135	67

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness786.0ms (14.1%)

Memory

5.3MiB live, 437.1MiB 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	8376	16
0	25	61
1	67	57
2	117	57
3	451	57
4	2415	57
5	5464	57
0	8117	51
0	5	17
0	9	17
1	37	17
2	262	17
3	2796	17
0	8410	17

Stop Event

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

Compiler

Compiled 192 to 96 computations (50% saved)

preprocess81.0ms (1.4%)

Memory: 24.4MiB live, 142.1MiB allocated
Compiler: Compiled 164 to 70 computations (57.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	74	16
4	122	16
5	180	16
6	204	16
7	215	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	109	7
8	158	7
9	174	7
10	182	7
0	182	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	109	18
8	158	18
9	174	18
10	182	18
0	182	18

Iter	Nodes	Cost
0	14	32
1	34	32
2	44	32
3	89	32
4	189	32
5	369	32
6	417	32
7	457	32
8	516	32
9	532	32
10	540	32
0	540	32

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	74	16
4	122	16
5	180	16
6	204	16
7	215	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	109	7
8	158	7
9	174	7
10	182	7
0	182	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	109	18
8	158	18
9	174	18
10	182	18
0	182	18

Iter	Nodes	Cost
0	14	32
1	34	32
2	44	32
3	89	32
4	189	32
5	369	32
6	417	32
7	457	32
8	516	32
9	532	32
10	540	32
0	540	32

start0.0ms (0%)

analyze2.0ms (0%)

sample1.8s (32.7%)

explain132.0ms (2.4%)

preprocess23.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize42.0ms (0.8%)

series1.0ms (0%)

simplify12.0ms (0.2%)

rewrite238.0ms (4.3%)

eval32.0ms (0.6%)

prune6.0ms (0.1%)

simplify4.0ms (0.1%)

localize16.0ms (0.3%)

series1.0ms (0%)

simplify113.0ms (2%)

rewrite170.0ms (3.1%)

eval88.0ms (1.6%)

prune24.0ms (0.4%)

simplify96.0ms (1.7%)

localize108.0ms (1.9%)

series7.0ms (0.1%)

simplify173.0ms (3.1%)

rewrite349.0ms (6.3%)

eval81.0ms (1.4%)

prune17.0ms (0.3%)

simplify340.0ms (6.1%)

localize108.0ms (1.9%)

series5.0ms (0.1%)

simplify159.0ms (2.8%)

rewrite188.0ms (3.4%)

eval170.0ms (3%)

prune54.0ms (1%)

regimes22.0ms (0.4%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

simplify79.0ms (1.4%)

soundness786.0ms (14.1%)

preprocess81.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	74	16
4	122	16
5	180	16
6	204	16
7	215	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	109	7
8	158	7
9	174	7
10	182	7
0	182	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	109	18
8	158	18
9	174	18
10	182	18
0	182	18

Iter	Nodes	Cost
0	14	32
1	34	32
2	44	32
3	89	32
4	189	32
5	369	32
6	417	32
7	457	32
8	516	32
9	532	32
10	540	32
0	540	32