Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

2.0MiB live, 2.0MiB 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)

sample1.8s (36.4%)

Memory

75.8MiB live, 1 627.8MiB allocated; 416ms collecting garbage

Samples

1.2s	7 353×	1	valid
168.0ms	672×	2	valid
23.0ms	231×	0	valid

Precisions

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

adjust: 339.0ms (31.3% of total)

ival-atan: 325.0ms (30% of total)

ival-add: 113.0ms (10.4% of total)

const: 108.0ms (10% of total)

ival-sub: 105.0ms (9.7% of total)

ival->: 41.0ms (3.8% of total)

ival-<: 27.0ms (2.5% of total)

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

exact: 8.0ms (0.7% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain144.0ms (3%)

Memory

-29.6MiB live, 158.5MiB allocated; 52ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
254	1	(14.205202349758716)	-	`(-.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	255	0

Confusion

	Predicted +	Predicted -
+	254	0
-	1	1

Precision

0.996078431372549

Recall

1.0

Confusion?

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

Precision?

0.996078431372549

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms	458×	1	valid
6.0ms	30×	2	valid
1.0ms	24×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-atan: 44.0ms (59.8% of total)

adjust: 19.0ms (25.8% of total)

ival-add: 5.0ms (6.8% of total)

ival-sub: 5.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess14.0ms (0.3%)

Memory

21.9MiB live, 21.9MiB 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
▶	9.0%	(-.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

3.7MiB live, 3.7MiB 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)

localize47.0ms (1%)

Memory

6.5MiB live, 50.0MiB allocated; 10ms 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 (+.f64 N #s(literal 1 binary64)))
accuracy	0.0	(atan.f64 N)
accuracy	58.27040086830399	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

30.0ms	229×	1	valid
9.0ms	15×	2	valid
1.0ms	12×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

adjust: 10.0ms (32.9% of total)

ival-add: 9.0ms (29.6% of total)

ival-atan: 9.0ms (29.6% of total)

ival-sub: 2.0ms (6.6% 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

1.1MiB live, 1.1MiB 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

4.8MiB live, 4.8MiB 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)))

rewrite194.0ms (4%)

Memory

-14.8MiB live, 173.9MiB allocated; 54ms 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)))

eval20.0ms (0.4%)

Memory: -8.5MiB live, 35.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 055 to 504 computations (83.5% saved)

prune2.0ms (0%)

Memory

7.1MiB live, 7.1MiB 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)

simplify17.0ms (0.4%)

Memory

25.0MiB live, 25.0MiB 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

localize22.0ms (0.5%)

Memory

-11.9MiB live, 32.8MiB allocated; 7ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.0078125	(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy	0.25	(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

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

accuracy

0.0078125

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

accuracy

0.25

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

Samples

17.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (57.6% of total)

ival-atan2: 2.0ms (19.2% of total)

ival-add: 2.0ms (19.2% 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

2.5MiB live, 2.5MiB 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))

simplify104.0ms (2.2%)

Memory

-2.4MiB live, 145.8MiB allocated; 22ms 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)))

rewrite162.0ms (3.4%)

Memory

6.1MiB live, 156.2MiB allocated; 18ms 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)

eval39.0ms (0.8%)

Memory: -33.3MiB live, 59.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 6 027 to 955 computations (84.2% saved)

prune14.0ms (0.3%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	240	15	255
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	240	16	256

Accuracy

99.8%

Counts

256 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.4%	(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)))
	92.6%	(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)))
	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	92.7%	(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)))
	48.8%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))))) (fabs.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)))
▶	92.7%	(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)))
▶	92.5%	(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)))
	81.1%	(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))))
	74.1%	(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))
▶	95.9%	(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))))
	93.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
▶	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 512 to 303 computations (40.8% saved)

simplify158.0ms (3.3%)

Memory

-14.2MiB live, 88.2MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
cost-diff	0	(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
cost-diff	0	(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))
cost-diff	0	(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)))
cost-diff	0	(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))
cost-diff	0	(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)))
cost-diff	2	(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)
cost-diff	10	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
cost-diff	0	(fma.f64 N N N)
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 N N #s(literal 1 binary64))
cost-diff	0	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	246
0	56	230
1	104	230
2	226	192
3	712	192
4	3465	192
0	8311	192

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

localize89.0ms (1.8%)

Memory

21.4MiB live, 67.0MiB allocated; 2ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
accuracy	0.2109375	(/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
accuracy	0.25	(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)))
accuracy	0.36328125	(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))
accuracy	0.01171875	(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))
accuracy	0.2265625	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
accuracy	0.2265625	(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)
accuracy	0.25	(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)))
accuracy	0.0	(fma.f64 N N N)
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
accuracy	2.342172971117542	#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy	59.862258120251795	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 N N #s(literal 1 binary64))
accuracy	0.06640625	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Samples

69.0ms

256×

valid

Compiler

Compiled 248 to 32 computations (87.1% saved)

Precisions

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

ival-mult: 27.0ms (49% of total)

ival-add: 8.0ms (14.5% of total)

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

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

ival-div: 3.0ms (5.4% of total)

ival-sub: 3.0ms (5.4% of total)

ival-pow: 3.0ms (5.4% 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

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

17 → 41

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

Calls

3 calls:

Time

Variable

Point

Expression

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

2.0ms

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

simplify149.0ms (3.1%)

Memory

-8.9MiB live, 85.8MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	389
1	303	383
2	781	381
3	2606	380
0	8445	355

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 40

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

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

rewrite159.0ms (3.3%)

Memory

10.9MiB live, 101.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	185
0	56	158
1	231	158
2	1740	154
0	8919	154

Stop Event

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

Counts

17 → 662

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

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

eval148.0ms (3.1%)

Memory: -2.1MiB live, 99.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 18 568 to 2 960 computations (84.1% saved)

prune30.0ms (0.6%)

Memory

-8.8MiB live, 36.3MiB allocated; 3ms collecting garbage

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	668	11	679
Fresh	7	3	10
Picked	3	2	5
Done	0	1	1
Total	678	17	695

Accuracy

99.9%

Counts

695 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.4%	(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)))
	92.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #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)))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
▶	92.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	56.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) N) (fma.f64 N N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N N)))) (fabs.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	92.8%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
	92.7%	(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) (.f64 N N)))) (-.f64 N #s(literal 1 binary64)))))
	80.8%	(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))
▶	8.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N)))
	93.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
✓	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	77.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
▶	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N))))
	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
✓	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 555 to 326 computations (41.3% saved)

simplify231.0ms (4.8%)

Memory

21.8MiB live, 110.6MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
cost-diff	0	(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) 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 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	12	(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N))
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N))))
cost-diff	2	(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	#s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N)))
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	306
0	65	306
1	105	306
2	220	294
3	613	274
4	1766	274
5	6229	274
0	8186	264

Stop Event

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

Calls

Call 1

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

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

localize160.0ms (3.3%)

Memory

-82.4MiB live, 119.9MiB allocated; 67ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N)))
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
accuracy	0.36328125	(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
accuracy	4.25418370644298	#s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.07421875	(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.1796875	(.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 N #s(literal 1 binary64)))
accuracy	0.1953125	(/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	0.2265625	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N))
accuracy	0.2265625	(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N)
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N))))
accuracy	2.342172971117542	#s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N)))
accuracy	0.0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N)))
accuracy	58.86223538595881	#s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N))
accuracy	0.0	(*.f64 N N)
accuracy	0.0078125	(/.f64 N (-.f64 #s(literal 1 binary64) N))
accuracy	0.0859375	(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
accuracy	0.25	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))

Samples

138.0ms

256×

valid

Compiler

Compiled 266 to 38 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-div: 49.0ms (40.2% of total)

ival-fabs: 37.0ms (30.3% of total)

ival-mult: 12.0ms (9.8% of total)

ival-add: 9.0ms (7.4% of total)

ival-atan2: 7.0ms (5.7% of total)

ival-sub: 4.0ms (3.3% of total)

ival-pow: 3.0ms (2.5% 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)

series9.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

22 → 77

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify170.0ms (3.5%)

Memory

3.8MiB live, 219.6MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	776
1	524	743
2	1598	731
3	5896	725
0	8199	692

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 76

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (- 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.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)
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
N
(* N (+ 1 (* -1 (pow N 2))))
(-.f64 N (pow.f64 N #s(literal 3 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)))
(* N (+ 1 N))
(fma.f64 N N N)
(+ 1 (* -1 N))
(-.f64 #s(literal 1 binary64) N)
(+ 1 (* N (- N 1)))
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 (* N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2)))))))
(fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fabs (- 1 (pow N 3)))
(fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
(+ 1 (* -1 (pow N 3)))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(* 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)
(* N (+ 1 (pow N 2)))
(+.f64 (pow.f64 N #s(literal 3 binary64)) N)
(* N (+ 1 (* (pow N 2) (+ 1 (pow N 2)))))
(fma.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)) N)
(* N (+ 1 (* (pow N 2) (+ 1 (* (pow N 2) (+ 1 (pow N 2)))))))
(.f64 (.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) N)
(* -1 N)
(neg.f64 N)
(* N (- N 1))
(fma.f64 N N (neg.f64 N))
(* N (- (* N (+ 1 (* -1 N))) 1))
(*.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64))) N)
(* N (- (* N (+ 1 (* N (- N 1)))) 1))
(.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) (.f64 N N) (-.f64 N #s(literal 1 binary64))) N)
(* N (+ 1 (* -1 N)))
(*.f64 (-.f64 #s(literal 1 binary64) N) N)
(* N (+ 1 (* N (- (pow N 2) 1))))
(*.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 N N #s(literal -1 binary64))) N #s(literal 1 binary64)) N)
(fabs (/ N (+ 1 (+ N (pow N 2)))))
(fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 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))
(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)
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* -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)))
(* (pow N 2) (- 1 (/ 1 N)))
(fma.f64 N N (neg.f64 N))
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(atan2 1 (- (+ 1 (pow N 2)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(* (pow N 3) (- (/ 1 (pow N 3)) 1))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
-1
#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 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)) N) N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(* -1 (/ (+ 1 (/ 1 (pow N 2))) N))
(-.f64 (/.f64 #s(literal -1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) (pow N 2))) 1) N)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) N) (*.f64 N N))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) (pow N 4))) (+ 1 (/ 1 (pow N 2)))) N)
(/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 N N)) #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64))) N) (/.f64 #s(literal 1 binary64) N)) (.f64 N N))
(- (/ 1 N) 1)
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(- (/ 1 N) (+ 1 (/ 1 (pow N 2))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) #s(literal 1 binary64))
(- (+ (/ 1 N) (/ 1 (pow N 3))) (+ 1 (/ 1 (pow N 2))))
(-.f64 (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (*.f64 N N)) #s(literal 1 binary64))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (/ 1 N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) N)
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) (*.f64 N N))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) N) (*.f64 N N)) #s(literal 1 binary64)) N)
(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 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(* -1 (* (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 (* -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 N N (-.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 (+ (* -1 N) (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))))
(fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fabs (+ 1 (* -1 (pow N 3))))
(fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 3)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (pow.f64 (neg.f64 N) #s(literal 3 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 (/ (+ 1 (+ (/ 1 (pow N 2)) (/ 1 (pow N 4)))) N))
(+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) N))
(* -1 (/ (+ 1 (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6))))) N))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) #s(literal -1 binary64)) (pow.f64 N #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))))
(- (* -1 (/ (- (/ 1 N) 1) N)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (neg.f64 N)) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)) #s(literal 1 binary64))
(* -1 (/ (- (/ 1 N) 1) N))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)) (neg.f64 N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)) #s(literal 1 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))
(fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))
(fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

rewrite215.0ms (4.5%)

Memory

-1.0MiB live, 258.8MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	264
0	65	262
1	248	234
2	1950	230
0	8482	214

Stop Event

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

Counts

22 → 492

Calls

Call 1

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

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

eval114.0ms (2.4%)

Memory: 22.8MiB live, 158.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 15 434 to 2 250 computations (85.4% saved)

prune35.0ms (0.7%)

Memory

-30.5MiB live, 74.7MiB allocated; 21ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	591	9	600
Fresh	3	6	9
Picked	4	1	5
Done	0	3	3
Total	598	19	617

Accuracy

99.9%

Counts

617 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
	92.9%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fabs.f64 #s(approx (/ N (+ (+ ( N N) N) 1)) (/.f64 #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)))
	92.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
	92.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
	92.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N))) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
	92.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 #s(approx (/ N (- 1 (* N N))) (/.f64 #s(literal -1 binary64) N)) (-.f64 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)))
	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)))
	80.8%	(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))
✓	8.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N)))
	93.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
✓	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	77.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
	59.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) N) (.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N)))))
	96.7%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 #s(approx (- 1 ( N N)) (*.f64 (neg.f64 N) N)) N) (-.f64 #s(literal 1 binary64) N))))
	96.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 #s(approx (* (- 1 (* N N)) N) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
✓	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 1 042 to 394 computations (62.2% saved)

regimes21.0ms (0.4%)

Memory

1.2MiB live, 44.1MiB allocated; 8ms 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 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 #s(approx (- 1 ( N N)) (*.f64 (neg.f64 N) N)) N) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N))))
(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 (.f64 N N) N #s(literal 1 binary64)) (fabs.f64 #s(approx (/ N (+ (+ ( N N) N) 1)) (/.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 #s(literal 1 binary64) (.f64 N N)) (.f64 #s(approx (/ N (- 1 (* N N))) (/.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (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 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N))) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) (.f64 N N)))) (-.f64 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)))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 #s(approx (* (- 1 (* N N)) N) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N 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 (-.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) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) N) (.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N)))))
(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 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) N) (fma.f64 N N #s(literal 1 binary64))) (-.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) (/.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 (fabs.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))))) (fabs.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)))
(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:

10.0ms	(-.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

15.0MiB live, 15.0MiB 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 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

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

Calls

2 calls:

3.0ms	N
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

14.9MiB live, 14.9MiB 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 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

-35.6MiB live, 10.6MiB allocated; 6ms 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 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))

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

Calls

2 calls:

5.0ms	N
1.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
93.0%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
93.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB 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 #s(literal 1 binary64) N)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
8.0%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
8.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

6.9MiB live, 6.9MiB 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
6.5%	1	`N`
6.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify21.0ms (0.4%)

Memory

-33.8MiB live, 25.1MiB allocated; 7ms 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)))

derivations453.0ms (9.4%)

Memory

56.5MiB live, 372.2MiB allocated; 92ms 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
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

Stop Event

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

Compiler

Compiled 67 to 24 computations (64.2% saved)

preprocess75.0ms (1.6%)

Memory: 5.4MiB live, 55.9MiB allocated; 17ms 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%)

sample1.8s (36.4%)

explain144.0ms (3%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize47.0ms (1%)

series1.0ms (0%)

simplify6.0ms (0.1%)

rewrite194.0ms (4%)

eval20.0ms (0.4%)

prune2.0ms (0%)

simplify17.0ms (0.4%)

localize22.0ms (0.5%)

series1.0ms (0%)

simplify104.0ms (2.2%)

rewrite162.0ms (3.4%)

eval39.0ms (0.8%)

prune14.0ms (0.3%)

simplify158.0ms (3.3%)

localize89.0ms (1.8%)

series8.0ms (0.2%)

simplify149.0ms (3.1%)

rewrite159.0ms (3.3%)

eval148.0ms (3.1%)

prune30.0ms (0.6%)

simplify231.0ms (4.8%)

localize160.0ms (3.3%)

series9.0ms (0.2%)

simplify170.0ms (3.5%)

rewrite215.0ms (4.5%)

eval114.0ms (2.4%)

prune35.0ms (0.7%)

regimes21.0ms (0.4%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

simplify21.0ms (0.4%)

derivations453.0ms (9.4%)

preprocess75.0ms (1.6%)

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