Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.8s (29.7%)

Memory

-79.8MiB live, 1 440.4MiB allocated

Samples

1.4s	7 498×	1	valid
85.0ms	348×	2	valid
28.0ms	410×	0	valid

Precisions

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

ival-sub: 387.0ms (32.4% of total)

ival-atan: 318.0ms (26.6% of total)

adjust: 214.0ms (17.9% of total)

const: 112.0ms (9.4% of total)

ival-add: 90.0ms (7.5% of total)

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

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

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

exact: 9.0ms (0.8% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain137.0ms (2.3%)

Memory

-59.2MiB live, 139.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(-.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	254	1

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

0.996078431372549

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms	462×	1	valid
16.0ms	22×	2	valid
2.0ms	28×	0	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-atan: 29.0ms (45.3% of total)

ival-sub: 17.0ms (26.5% of total)

adjust: 12.0ms (18.7% of total)

ival-add: 5.0ms (7.8% of total)

ival-true: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

preprocess16.0ms (0.3%)

Memory

27.8MiB live, 27.8MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.0%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify10.0ms (0.2%)

Memory

-25.3MiB live, 11.1MiB 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)

localize40.0ms (0.7%)

Memory

17.4MiB live, 54.7MiB 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	58.26240642196803	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

30.0ms	231×	1	valid
2.0ms	11×	2	valid
1.0ms	14×	0	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-atan: 10.0ms (42% of total)

adjust: 6.0ms (25.2% of total)

ival-add: 5.0ms (21% of total)

ival-sub: 2.0ms (8.4% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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))

simplify17.0ms (0.3%)

Memory

-29.3MiB live, 15.2MiB 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)))

rewrite215.0ms (3.5%)

Memory

26.5MiB live, 137.5MiB 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)))

eval67.0ms (1.1%)

Memory: -14.1MiB live, 65.8MiB allocated
Compiler: Compiled 7 523 to 927 computations (87.7% saved)

prune3.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB 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

3.4MiB live, 3.4MiB 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

localize41.0ms (0.7%)

Memory

-5.9MiB live, 31.3MiB 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	0.28515625	(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

0.28515625

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

Samples

35.0ms

256×

valid

Compiler

Compiled 42 to 13 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-atan2: 25.0ms (83.6% of total)

ival-add: 3.0ms (10% of total)

ival-mult: 2.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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))

simplify122.0ms (2%)

Memory

5.7MiB live, 128.3MiB 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)))

rewrite161.0ms (2.6%)

Memory

-11.8MiB live, 145.9MiB 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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eval45.0ms (0.7%)

Memory: 25.9MiB live, 99.3MiB allocated
Compiler: Compiled 7 357 to 1 147 computations (84.4% saved)

prune16.0ms (0.3%)

Memory

-15.5MiB live, 34.7MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	280	16	296
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	280	17	297

Accuracy

99.7%

Counts

297 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.6%	(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)))
	99.4%	(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)))
▶	77.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) N) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N N) N) (/.f64 (+.f64 N #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))))
▶	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (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)))
	29.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.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 3 binary64)) #s(literal 1 binary64)))))
	77.6%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 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)))))
	96.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	92.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
▶	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 562 to 325 computations (42.2% saved)

simplify177.0ms (2.9%)

Memory

7.5MiB live, 160.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 N #s(literal 4 binary64))
cost-diff	0	(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	5952	(fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	(pow.f64 N #s(literal 4 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))
cost-diff	0	(/.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))))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
cost-diff	0	(fma.f64 N N #s(literal -1 binary64))
cost-diff	0	(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))
cost-diff	0	(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)))
cost-diff	7168	(*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
cost-diff	0	(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))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	231
0	57	217
1	102	217
2	221	208
3	571	206
4	2402	204
5	7238	204
0	8722	204

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (1.5%)

Memory

4.9MiB live, 115.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
accuracy	0.28515625	(pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	0.28515625	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	14.327684061714532	(fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(-.f64 #s(literal 1 binary64) N)
accuracy	0.27734375	(*.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal 1 binary64)))
accuracy	0.28515625	(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)))
accuracy	14.404105507493089	(/.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))))
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	0.28515625	(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)))
accuracy	0.3359375	(*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0.28515625	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy	59.84344974465055	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 N N #s(literal 1 binary64))
accuracy	0.05859375	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
accuracy	0.28515625	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Samples

61.0ms

256×

valid

Compiler

Compiled 482 to 67 computations (86.1% saved)

Precisions

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

ival-add: 13.0ms (28.6% of total)

ival-mult: 12.0ms (26.4% of total)

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

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

ival-sub: 3.0ms (6.6% of total)

ival-div: 2.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

21 → 65

Calls

Call 1

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

Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (pow N 2))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
-1
(- (pow N 2) 1)
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 4))) (* (+ 1 (pow N 2)) (- 1 N)))))
(+ 1 (* -1 (pow N 4)))
(pow N 4)
(atan2 1 (+ 1 (+ (/ N (+ 1 (* N (- N 1)))) (/ (pow N 4) (+ 1 (* N (- N 1)))))))
N
(* N (+ 1 (pow N 3)))
(- N 1)
(- (* -1 N) 1)
(- (* N (- (* -1 N) 1)) 1)
(- (* N (- (* N (- (* -1 N) 1)) 1)) 1)
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(+ 1 (* N (+ 1 (* -1 (pow N 2)))))
(+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* N (+ 1 (/ 1 N)))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(atan2 1 (- (+ 1 (/ N (* (+ 1 (pow N 2)) (- 1 N)))) (/ (pow N 5) (* (+ 1 (pow N 2)) (- 1 N)))))
(* -1 (pow N 4))
(* (pow N 4) (- (/ 1 (pow N 4)) 1))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* N (- 1 (/ 1 N)))
(/ 1 N)
(/ (+ 1 (/ 1 N)) N)
(/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)
(/ (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))) N)
(* -1 (pow N 3))
(* (pow N 3) (- (/ 1 N) 1))
(* (pow N 3) (- (/ 1 N) (+ 1 (/ 1 (pow N 2)))))
(* (pow N 3) (- (+ (/ 1 N) (/ 1 (pow N 3))) (+ 1 (/ 1 (pow N 2)))))
(* -1 N)
(* N (- (/ 1 N) 1))
(/ 1 (pow N 2))
(/ (+ 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) (pow N 2))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) (pow N 2))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 4))) (* (+ 1 (* -1 N)) (+ 1 (pow N 2))))))
(atan2 1 (- (+ 1 (/ (pow N 4) (+ 1 (+ (* -1 N) (pow N 2))))) (* -1 (/ N (+ 1 (+ (* -1 N) (pow N 2)))))))
(* -1 (* N (- (/ 1 N) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1) N))
(* -1 (* (pow N 3) (- 1 (/ 1 N))))
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))))
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))))
(* -1 (* N (- 1 (/ 1 N))))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) 1) N))) (pow N 2))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify141.0ms (2.3%)

Memory

3.9MiB live, 157.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	607
1	493	585
2	1228	566
3	5957	546
0	8780	513

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

Inputs
(atan2 1 (+ 1 (+ N (pow N 2))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (pow N 2))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
-1
(- (pow N 2) 1)
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 4))) (* (+ 1 (pow N 2)) (- 1 N)))))
(+ 1 (* -1 (pow N 4)))
(pow N 4)
(atan2 1 (+ 1 (+ (/ N (+ 1 (* N (- N 1)))) (/ (pow N 4) (+ 1 (* N (- N 1)))))))
N
(* N (+ 1 (pow N 3)))
(- N 1)
(- (* -1 N) 1)
(- (* N (- (* -1 N) 1)) 1)
(- (* N (- (* N (- (* -1 N) 1)) 1)) 1)
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(+ 1 (* N (+ 1 (* -1 (pow N 2)))))
(+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* N (+ 1 (/ 1 N)))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(atan2 1 (- (+ 1 (/ N (* (+ 1 (pow N 2)) (- 1 N)))) (/ (pow N 5) (* (+ 1 (pow N 2)) (- 1 N)))))
(* -1 (pow N 4))
(* (pow N 4) (- (/ 1 (pow N 4)) 1))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* N (- 1 (/ 1 N)))
(/ 1 N)
(/ (+ 1 (/ 1 N)) N)
(/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)
(/ (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))) N)
(* -1 (pow N 3))
(* (pow N 3) (- (/ 1 N) 1))
(* (pow N 3) (- (/ 1 N) (+ 1 (/ 1 (pow N 2)))))
(* (pow N 3) (- (+ (/ 1 N) (/ 1 (pow N 3))) (+ 1 (/ 1 (pow N 2)))))
(* -1 N)
(* N (- (/ 1 N) 1))
(/ 1 (pow N 2))
(/ (+ 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) (pow N 2))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) (pow N 2))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 4))) (* (+ 1 (* -1 N)) (+ 1 (pow N 2))))))
(atan2 1 (- (+ 1 (/ (pow N 4) (+ 1 (+ (* -1 N) (pow N 2))))) (* -1 (/ N (+ 1 (+ (* -1 N) (pow N 2)))))))
(* -1 (* N (- (/ 1 N) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1) N))
(* -1 (* (pow N 3) (- 1 (/ 1 N))))
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))))
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))))
(* -1 (* N (- 1 (/ 1 N))))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) 1) N))) (pow N 2))

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

rewrite304.0ms (5%)

Memory

21.0MiB live, 374.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	185
0	57	156
1	249	138
2	2126	138
0	8418	138

Stop Event

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

Counts

21 → 1 636

Calls

Call 1

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

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

eval275.0ms (4.5%)

Memory: -4.9MiB live, 384.4MiB allocated
Compiler: Compiled 46 030 to 6 625 computations (85.6% saved)

prune35.0ms (0.6%)

Memory

13.1MiB live, 97.9MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 448	10	1 458
Fresh	8	3	11
Picked	3	2	5
Done	0	1	1
Total	1 459	16	1 475

Accuracy

99.7%

Counts

1 475 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (fma.f64 N N #s(literal 1 binary64))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
	77.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) N) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
▶	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
▶	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	77.6%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	77.5%	(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))
▶	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)))))
	96.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
▶	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
	92.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
✓	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
	65.3%	#s(approx (atan2 1 (+ (* (/ (- 1 (pow N 4)) (* (- 1 N) (+ (* N N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 N (pow.f64 N #s(literal 5 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal 1 binary64)))) #s(literal 1 binary64))))

Compiler

Compiled 513 to 302 computations (41.1% saved)

simplify226.0ms (3.7%)

Memory

-10.0MiB live, 250.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
cost-diff	1408	(.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))
cost-diff	6464	(*.f64 (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(pow.f64 N #s(literal 3 binary64))
cost-diff	0	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 N N #s(literal -1 binary64))
cost-diff	0	(fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
cost-diff	1408	(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
cost-diff	0	(-.f64 N #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
cost-diff	0	(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))))
cost-diff	320	(.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
cost-diff	7936	(*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	309
0	65	249
1	117	207
2	284	199
3	993	197
4	4292	197
0	8183	197

Stop Event

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

Calls

Call 1

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

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

localize288.0ms (4.7%)

Memory

22.9MiB live, 109.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(*.f64 (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))
accuracy	0.28515625	(pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy	0.28515625	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
accuracy	0.3359375	(.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))
accuracy	0.0	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	0.26171875	(/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
accuracy	0.28515625	(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	0.39291000976844204	(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	(/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))
accuracy	0.0	(-.f64 N #s(literal 1 binary64))
accuracy	0.28515625	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
accuracy	0.3359375	(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
accuracy	0.0	(-.f64 N #s(literal -1 binary64))
accuracy	0.28515625	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
accuracy	58.84317208640973	#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
accuracy	0.0	(.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
accuracy	0.265625	(*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy	0.28125	(pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy	0.28515625	(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)))))

Samples

263.0ms

256×

valid

Compiler

Compiled 646 to 75 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-add: 206.0ms (83.7% of total)

ival-mult: 19.0ms (7.7% of total)

ival-atan2: 8.0ms (3.3% of total)

ival-pow: 7.0ms (2.8% of total)

ival-div: 3.0ms (1.2% of total)

ival-sub: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory

-23.1MiB live, 12.8MiB allocated

Counts

24 → 57

Calls

Call 1

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

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

19.0ms

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

3.0ms

-inf

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

2.0ms

inf

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

simplify238.0ms (3.9%)

Memory

4.4MiB live, 264.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	571
1	488	559
2	1146	540
3	5144	514
0	8441	490

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

Calls

Call 1

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

rewrite223.0ms (3.7%)

Memory

19.3MiB live, 333.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	269
0	65	223
1	264	159
2	2247	159
0	8958	159

Stop Event

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

Counts

24 → 1 831

Calls

Call 1

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

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

eval324.0ms (5.3%)

Memory: -18.5MiB live, 412.1MiB allocated
Compiler: Compiled 40 112 to 5 894 computations (85.3% saved)

prune63.0ms (1%)

Memory

-14.8MiB live, 111.3MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1 339	5	1 344
Fresh	3	5	8
Picked	2	3	5
Done	0	3	3
Total	1 344	16	1 360

Accuracy

99.7%

Counts

1 360 → 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)))
	77.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (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)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (/.f64 N (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
	77.6%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	77.5%	(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))
	99.5%	(atan2.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))))
	96.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
✓	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
	92.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
✓	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 814 to 311 computations (61.8% saved)

regimes18.0ms (0.3%)

Memory

29.5MiB live, 29.5MiB allocated

Counts

33 → 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 (+ (+ (* N N) 1) N) (-.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 (+ (+ (* N N) 1) N) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (fma.f64 N N #s(literal 1 binary64))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (/.f64 N (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (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) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (atan2 1 (+ (* (/ (- 1 (pow N 4)) (* (- 1 N) (+ (* N N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 N (pow.f64 N #s(literal 5 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal 1 binary64)))) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 N 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) (/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N N) N) (/.f64 (+.f64 N #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.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 3 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:

9.0ms	N
7.0ms	(-.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)

regimes17.0ms (0.3%)

Memory

-22.4MiB live, 12.8MiB 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 (+ (+ (* N N) 1) N) (-.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 (+ (+ (* N N) 1) N) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (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:

14.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.5%	1	`N`
99.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.3%	1	`N`
96.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB 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 (+ (+ (* N N) 1) N) (-.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 (+ (+ (* N N) 1) N) (*.f64 N N)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.0%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
92.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

-37.9MiB live, 9.7MiB 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 (+ (+ (* N N) 1) N) (-.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:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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
6.5%	1	`N`
6.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify81.0ms (1.3%)

Memory

12.7MiB live, 49.4MiB 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)))

soundness794.0ms (13%)

Memory

-14.4MiB live, 474.1MiB 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)

preprocess40.0ms (0.7%)

Memory: 27.5MiB live, 64.5MiB 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 (29.7%)

explain137.0ms (2.3%)

preprocess16.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify10.0ms (0.2%)

localize40.0ms (0.7%)

series1.0ms (0%)

simplify17.0ms (0.3%)

rewrite215.0ms (3.5%)

eval67.0ms (1.1%)

prune3.0ms (0.1%)

simplify4.0ms (0.1%)

localize41.0ms (0.7%)

series1.0ms (0%)

simplify122.0ms (2%)

rewrite161.0ms (2.6%)

eval45.0ms (0.7%)

prune16.0ms (0.3%)

simplify177.0ms (2.9%)

localize89.0ms (1.5%)

series11.0ms (0.2%)

simplify141.0ms (2.3%)

rewrite304.0ms (5%)

eval275.0ms (4.5%)

prune35.0ms (0.6%)

simplify226.0ms (3.7%)

localize288.0ms (4.7%)

series25.0ms (0.4%)

simplify238.0ms (3.9%)

rewrite223.0ms (3.7%)

eval324.0ms (5.3%)

prune63.0ms (1%)

regimes18.0ms (0.3%)

regimes17.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

simplify81.0ms (1.3%)

soundness794.0ms (13%)

preprocess40.0ms (0.7%)

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