Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.3s (44.7%)

Memory

-44.7MiB live, 1 513.5MiB allocated; 1.3s collecting garbage

Samples

1.1s	7 348×	1	valid
242.0ms	684×	2	valid
15.0ms	224×	0	valid

Precisions

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

adjust: 400.0ms (36.2% of total)

ival-atan: 351.0ms (31.8% of total)

const: 104.0ms (9.4% of total)

ival-add: 82.0ms (7.4% of total)

ival-sub: 81.0ms (7.3% of total)

ival->: 43.0ms (3.9% of total)

ival-<: 20.0ms (1.8% of total)

ival-and: 12.0ms (1.1% of total)

exact: 8.0ms (0.7% of total)

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

Bogosity

explain139.0ms (2.7%)

Memory

-8.6MiB live, 139.8MiB allocated; 33ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
255	-	1	(4.135630085513273)	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	-	0	-	`N`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(atan.f64 N)`
0	-	0	-	`(atan.f64 (+.f64 N #s(literal 1 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`	cancellation	254	0

Confusion

	Predicted +	Predicted -
+	254	1
-	0	1

Precision

1.0

Recall

0.996078431372549

Confusion?

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

Precision?

1.0

Recall?

0.996078431372549

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

63.0ms	436×	1	valid
11.0ms	60×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-atan: 20.0ms (39.5% of total)

adjust: 20.0ms (39.5% of total)

ival-add: 5.0ms (9.9% of total)

ival-sub: 5.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess13.0ms (0.3%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	11	19
0	6	7
0	10	7
1	13	7
0	13	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.6%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

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	13	18
0	13	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)

localize49.0ms (0.9%)

Memory

1.7MiB live, 46.5MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(atan.f64 N)
accuracy	0.00390625	(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	57.84236684361686	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

36.0ms	218×	1	valid
6.0ms	30×	2	valid
0.0ms	8×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-atan: 10.0ms (38.4% of total)

adjust: 10.0ms (38.4% of total)

ival-add: 3.0ms (11.5% of total)

ival-sub: 2.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

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))

simplify6.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	29	32
2	42	32
3	79	32
4	128	32
5	206	32
6	222	32
7	224	32
0	224	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)))

rewrite190.0ms (3.7%)

Memory

8.6MiB live, 198.0MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	43	16
2	266	16
3	2561	16
0	9660	16

Stop Event

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

Counts

4 → 118

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 (/.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 (+.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 (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 (neg.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (neg.f64 (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 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (neg.f64 (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 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (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 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (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 2 binary64)))
(/.f64 (-.f64 (neg.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))))
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(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(+.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (atan.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (atan.f64 N)))))
(*.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))))
(*.f64 (sqrt.f64 (atan.f64 N)) (sqrt.f64 (atan.f64 N)))
(pow.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (atan.f64 N) #s(literal 1 binary64))
(atan.f64 N)
(sqrt.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (atan.f64 N))))
(fabs.f64 (neg.f64 (atan.f64 N)))
(fabs.f64 (atan.f64 N))
(+.f64 (cosh.f64 (log.f64 (atan.f64 N))) (sinh.f64 (log.f64 (atan.f64 N))))
(exp.f64 (/.f64 (log.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (atan.f64 N)))

eval23.0ms (0.5%)

Memory: -22.9MiB live, 21.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 055 to 504 computations (83.5% saved)

prune2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	1	124

Accuracy

99.6%

Counts

124 → 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)

simplify18.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

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	27	19
3	70	19
4	172	19
5	275	19
6	415	19
7	512	19
8	603	19
9	678	19
10	687	19
0	687	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

localize17.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

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	0.27734375	(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

0.27734375

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

Samples

11.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

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

ival-atan2: 2.0ms (33% of total)

ival-add: 2.0ms (33% of total)

ival-mult: 2.0ms (33% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

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))

simplify131.0ms (2.5%)

Memory

-32.5MiB live, 123.0MiB allocated; 45ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	71	57
2	192	57
3	676	57
4	3357	57
0	8117	51

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

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

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

rewrite170.0ms (3.3%)

Memory

13.7MiB live, 159.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	9	17
1	38	17
2	261	17
3	2707	17
0	8997	17

Stop Event

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

Counts

3 → 248

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

eval45.0ms (0.9%)

Memory: -17.8MiB live, 71.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 6 027 to 955 computations (84.2% saved)

prune19.0ms (0.4%)

Memory

-7.6MiB live, 38.1MiB allocated; 6ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	237	18	255
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	237	19	256

Accuracy

99.8%

Counts

256 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
	54.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
	77.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
▶	91.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
▶	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	91.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) N)) (sqrt.f64 N) #s(literal 1 binary64)))
	91.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (fabs.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
	91.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
	25.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	77.4%	(atan2.f64 #s(literal 1 binary64) (/.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))))
	69.5%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	96.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	8.0%	(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)))
▶	6.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 642 to 375 computations (41.6% saved)

simplify147.0ms (2.8%)

Memory

19.2MiB live, 167.8MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	2	(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)
cost-diff	0	(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) 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 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
cost-diff	1	(fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))
cost-diff	0	(*.f64 N N)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 N N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
cost-diff	1	(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #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: 2 (0.0ms)

Iter	Nodes	Cost
0	31	248
0	58	246
1	113	246
2	339	232
3	1500	232
4	5650	232
0	8162	232

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

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

localize100.0ms (1.9%)

Memory

-15.0MiB live, 85.4MiB allocated; 7ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
accuracy	0.049160009768442016	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
accuracy	0.26171875	(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)
accuracy	0.27734375	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0.00390625	(-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))
accuracy	0.0234375	(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64))
accuracy	0.265625	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
accuracy	0.28125	(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64)))
accuracy	0.00390625	(/.f64 N (-.f64 #s(literal 1 binary64) N))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (*.f64 N N))
accuracy	0.05859375	(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
accuracy	0.27734375	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
accuracy	0.27734375	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy	59.892812885992214	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 N N #s(literal 1 binary64))
accuracy	0.03125	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
accuracy	0.27734375	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Samples

56.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 268 to 36 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 11.0ms (26.8% of total)

ival-mult: 11.0ms (26.8% of total)

ival-atan2: 7.0ms (17.1% of total)

ival-div: 5.0ms (12.2% of total)

ival-sub: 4.0ms (9.8% of total)

ival-pow: 3.0ms (7.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

20 → 63

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

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

3.0ms

inf

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

simplify160.0ms (3.1%)

Memory

2.7MiB live, 139.3MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	695
1	549	659
2	1773	627
3	6119	613
0	8426	580

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

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

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

rewrite190.0ms (3.7%)

Memory

9.5MiB live, 151.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	206
0	58	141
1	259	137
2	2348	126
0	9422	126

Stop Event

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

Counts

20 → 1 384

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

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

eval123.0ms (2.4%)

Memory: -2.5MiB live, 185.9MiB allocated; 29ms collecting garbage
Compiler: Compiled 17 560 to 2 684 computations (84.7% saved)

prune23.0ms (0.4%)

Memory

16.4MiB live, 62.0MiB allocated; 4ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	661	11	672
Fresh	10	3	13
Picked	1	4	5
Done	0	1	1
Total	672	19	691

Accuracy

99.8%

Counts

691 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
▶	91.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #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) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) N #s(literal 1 binary64)))
✓	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)))
	95.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (/.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (/.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
	91.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N (fma.f64 N N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
▶	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) 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)))
	91.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) N)) (sqrt.f64 N) #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
▶	95.9%	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	77.3%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) N))
	96.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
▶	8.0%	(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 (+ (* (+ 1 N) N) 1) (*.f64 N N)))
✓	6.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
	99.4%	#s(approx (atan2 1 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))

Compiler

Compiled 572 to 349 computations (39% saved)

simplify111.0ms (2.1%)

Memory

-4.2MiB live, 99.2MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 N #s(literal 3 binary64))
cost-diff	0	(-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) #s(literal 1 binary64)))
cost-diff	1	(fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
cost-diff	1	(fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))
cost-diff	1	(fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64))
cost-diff	2	(fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64))
cost-diff	0	(*.f64 (neg.f64 N) N)
cost-diff	0	#s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N))
cost-diff	0	(fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) 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	(.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) N)
cost-diff	0	#s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) N))
cost-diff	0	(fma.f64 #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	345
0	72	347
1	126	335
2	274	331
3	767	331
4	2481	327
5	4571	327
6	5413	327
7	6238	327
0	8184	327

Stop Event

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

Calls

Call 1

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

localize114.0ms (2.2%)

Memory

-21.2MiB live, 123.6MiB allocated; 10ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))
accuracy	0.265625	(/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)))
accuracy	0.27734375	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) #s(literal 1 binary64)))
accuracy	0.39291000976844204	(fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy	0.0234375	(fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64))
accuracy	0.2578125	(fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64))
accuracy	0.265625	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
accuracy	0.28125	(/.f64 (fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64)))
accuracy	0.00390625	(/.f64 N (-.f64 #s(literal 1 binary64) N))
accuracy	0.05859375	(fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
accuracy	0.27734375	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
accuracy	2.3343992521273536	#s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N))
accuracy	0.0	(-.f64 N #s(literal -1 binary64))
accuracy	0.27734375	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
accuracy	58.89244509763622	#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
accuracy	0.02734375	(.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) N)
accuracy	0.05859375	(fma.f64 #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
accuracy	0.26171875	(/.f64 (/.f64 #s(literal 1 binary64) N) N)
accuracy	0.27734375	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))

Samples

68.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 313 to 41 computations (86.9% saved)

Precisions

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

ival-mult: 15.0ms (29.8% of total)

ival-div: 10.0ms (19.9% of total)

ival-add: 9.0ms (17.9% of total)

ival-atan2: 6.0ms (11.9% of total)

ival-sub: 6.0ms (11.9% of total)

ival-pow: 3.0ms (6% of total)

ival-neg: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

23 → 65

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify168.0ms (3.2%)

Memory

-1.1MiB live, 90.2MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	701
1	561	675
2	1723	631
3	6781	613
0	8556	587

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

rewrite180.0ms (3.5%)

Memory

-10.3MiB live, 93.8MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	280
0	72	288
1	289	262
2	2352	211
0	9152	211

Stop Event

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

Counts

23 → 575

Calls

Call 1

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

Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (-.f64 (log.f64 (.f64 #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)) N)) (log1p.f64 N)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)))) (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)))) (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64))) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)))) (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)))) (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)))) (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (-.f64 (log.f64 (.f64 #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)) N)) (log1p.f64 N)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64)) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)))) (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (.f64 (-.f64 (log.f64 (.f64 #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)) N)) (log1p.f64 N)) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64)) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)))) (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) (.f64 #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)) #s(literal 1 binary64))
(fma.f64 #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)) (*.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N))) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) (/.f64 N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)))) (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)))) (pow.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 ( N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))))
#s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N))
(.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 N)) (neg.f64 N))
(.f64 (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N) N)
(.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 N N))
(.f64 (.f64 N N) (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 N (.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) N))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 N N))) (neg.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1 binary64)) (.f64 N N))) (neg.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 N N)) (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1 binary64)) (.f64 N N)) (+.f64 (+.f64 (pow.f64 N #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 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 (neg.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) N))))
(/.f64 (-.f64 (.f64 (.f64 N N) (+.f64 #s(literal -1 binary64) N)) (.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 (.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) (.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) N))
(-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.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)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 N #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.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 #s(literal 1 binary64) N) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N) (.f64 (-.f64 #s(literal 1 binary64) N) (.f64 (neg.f64 N) N))) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (.f64 (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 (fma.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (.f64 (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 (fma.f64 (pow.f64 N #s(literal 3 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 (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 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (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 (-.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.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))))
(/.f64 (+.f64 (/.f64 (pow.f64 N #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #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 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.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)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))) (neg.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))) (neg.f64 (*.f64 (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.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))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N))) (sqrt.f64 (neg.f64 N)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 (neg.f64 N))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.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)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.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)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(fma.f64 (*.f64 (neg.f64 N) N) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 N) (/.f64 (*.f64 N N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 N (/.f64 (*.f64 N N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) N #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 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) N)
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1 binary64) N)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(*.f64 (/.f64 N (-.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)))
(*.f64 (/.f64 N (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 N))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 N)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))))
(neg.f64 (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))

eval116.0ms (2.2%)

Memory: -7.4MiB live, 82.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 13 878 to 2 187 computations (84.2% saved)

prune23.0ms (0.4%)

Memory

30.1MiB live, 30.1MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	501	6	507
Fresh	3	6	9
Picked	3	2	5
Done	1	4	5
Total	508	18	526

Accuracy

99.8%

Counts

526 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) N #s(literal 1 binary64)))
	91.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (neg.f64 N) N) N #s(literal -1 binary64)) #s(approx (+ ( -1 (+ (* N N) N)) -1) (*.f64 (-.f64 #s(literal -1 binary64) N) N))) N #s(literal 1 binary64)))
	95.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (/.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (/.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
	91.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N (fma.f64 N N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
✓	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) #s(literal 1 binary64)))
	91.8%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(approx (/ N (+ (* (- 1 N) N) -1)) (/.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 N N) N)) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) 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)))
	91.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) N)) (sqrt.f64 N) #s(literal 1 binary64)))
	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) #s(approx (/ N (- 1 N)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	77.3%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) N))
	96.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
✓	8.0%	(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 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1) (*.f64 N N)))
✓	6.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 983 to 382 computations (61.1% saved)

regimes32.0ms (0.6%)

Memory

-31.9MiB live, 14.6MiB allocated; 2ms collecting garbage

Counts

37 → 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 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* 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 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) #s(approx (/ N (- 1 N)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (neg.f64 N) N) N #s(literal -1 binary64)) #s(approx (+ ( -1 (+ (* N N) N)) -1) (*.f64 (-.f64 #s(literal -1 binary64) N) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 N N) N)) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N (fma.f64 N N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (fabs.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
#s(approx (atan2 1 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(approx (/ N (+ (* (- 1 N) N) -1)) (/.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) N))
(atan2.f64 #s(literal 1 binary64) (/.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))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) N)) (sqrt.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 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (/.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (/.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))) 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 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))

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

Calls

2 calls:

22.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
9.0ms	N

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

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

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

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

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

Results

Accuracy	Segments	Branch
96.0%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
96.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

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 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1) (*.f64 N N)))

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

Calls

2 calls:

2.0ms	N
1.0ms	(-.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)

regimes3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

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:

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

Results

Accuracy	Segments	Branch
8.0%	1	`N`
8.0%	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

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

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
6.4%	1	`N`
6.4%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify18.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	67
1	30	67
2	46	67
3	89	67
4	200	67
5	413	67
6	628	67
7	660	67
8	669	67

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations452.0ms (8.7%)

Memory

-27.6MiB live, 262.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	71	57
2	192	57
3	676	57
4	3357	57
0	8117	51
0	5	17
0	9	17
1	38	17
2	261	17
3	2707	17
0	8997	17
0	6	16
0	10	16
1	43	16
2	266	16
3	2561	16
0	9660	16

Stop Event

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

Compiler

Compiled 67 to 24 computations (64.2% saved)

preprocess40.0ms (0.8%)

Memory: 20.0MiB live, 66.6MiB allocated; 2ms collecting garbage
Compiler: Compiled 164 to 70 computations (57.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	5	19
0	9	19
1	14	19
2	27	19
3	70	19
4	172	19
5	275	19
6	415	19
7	512	19
8	603	19
9	678	19
10	687	19
0	687	19

Iter	Nodes	Cost
0	5	19
0	9	19
1	14	19
2	27	19
3	70	19
4	172	19
5	275	19
6	415	19
7	512	19
8	603	19
9	678	19
10	687	19
0	687	19

start0.0ms (0%)

analyze2.0ms (0%)

sample2.3s (44.7%)

explain139.0ms (2.7%)

preprocess13.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize49.0ms (0.9%)

series1.0ms (0%)

simplify6.0ms (0.1%)

rewrite190.0ms (3.7%)

eval23.0ms (0.5%)

prune2.0ms (0%)

simplify18.0ms (0.3%)

localize17.0ms (0.3%)

series1.0ms (0%)

simplify131.0ms (2.5%)

rewrite170.0ms (3.3%)

eval45.0ms (0.9%)

prune19.0ms (0.4%)

simplify147.0ms (2.8%)

localize100.0ms (1.9%)

series10.0ms (0.2%)

simplify160.0ms (3.1%)

rewrite190.0ms (3.7%)

eval123.0ms (2.4%)

prune23.0ms (0.4%)

simplify111.0ms (2.1%)

localize114.0ms (2.2%)

series8.0ms (0.2%)

simplify168.0ms (3.2%)

rewrite180.0ms (3.5%)

eval116.0ms (2.2%)

prune23.0ms (0.4%)

regimes32.0ms (0.6%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

simplify18.0ms (0.3%)

derivations452.0ms (8.7%)

preprocess40.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	19
0	9	19
1	14	19
2	27	19
3	70	19
4	172	19
5	275	19
6	415	19
7	512	19
8	603	19
9	678	19
10	687	19
0	687	19