Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.2MiB live, 2.2MiB 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)

sample1.9s (64.1%)

Memory

-13.9MiB live, 2 073.5MiB allocated; 978ms collecting garbage

Samples

1.3s	7 251×	1	valid
193.0ms	830×	2	valid
8.0ms	175×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 883.0ms

ival-atan: 409.0ms (46.3% of total)

adjust: 338.0ms (38.3% of total)

ival-add!: 95.0ms (10.8% of total)

ival-sub!: 41.0ms (4.6% of total)

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

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

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

Bogosity

explain142.0ms (4.7%)

Memory

-19.8MiB live, 176.0MiB allocated; 60ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
253	-	1	(4.662269584630384)	`(-.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	252	1

Confusion

	Predicted +	Predicted -
+	252	1
-	0	3

Precision

1.0

Recall

0.9960474308300395

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	252	1	0
-	0	0	3

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

89.0ms	446×	1	valid
7.0ms	50×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

adjust: 50.0ms (62.1% of total)

ival-atan: 24.0ms (29.8% of total)

ival-sub!: 4.0ms (5% of total)

ival-add!: 3.0ms (3.7% of total)

preprocess67.0ms (2.2%)

Memory

-9.4MiB live, 39.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	16	26
2	19	26
3	33	26
4	76	26
5	321	24
6	2820	24
7	6223	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.8%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series2.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Counts

6 → 10

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
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))
0.0ms	N	@	inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))
0.0ms	N	@	0	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))

rewrite53.0ms (1.7%)

Memory

22.9MiB live, 69.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	106
0	36	98
1	145	98
0	921	98

Stop Event

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

Counts

16 → 49

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)
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))

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

eval4.0ms (0.1%)

Memory: 9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 703 to 179 computations (74.5% saved)

prune2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Accuracy

18.0%

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	8.8%	(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
▶	4.1%	(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))

Status

Accuracy

Program

▶

18.0%

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

▶

8.8%

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

▶

4.1%

(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

13 → 28

Calls

Call 1

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

Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (- (atan (- N -1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (- N -1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (- (atan (- N -1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (- N -1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)
1.0ms	N	@	inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)
0.0ms	N	@	0	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)

Time

Variable

Point

Expression

1.0ms

-inf

((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)

1.0ms

inf

((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)

0.0ms

((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)

rewrite77.0ms (2.5%)

Memory

-28.4MiB live, 64.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	385
0	92	345
1	370	337
0	3079	334

Stop Event

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

Counts

41 → 154

Calls

Call 1

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

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

eval31.0ms (1%)

Memory: 0.7MiB live, 48.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 825 to 575 computations (85% saved)

prune4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	179	3	182
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	182	3	185

Accuracy

99.7%

Counts

185 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
▶	5.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
▶	99.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Status

Accuracy

Program

▶

18.0%

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

▶

5.2%

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

▶

99.7%

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

Compiler

Compiled 41 to 30 computations (26.8% saved)

series3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

13 → 27

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 1))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1))
1.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1))
0.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1))

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite99.0ms (3.3%)

Memory

10.9MiB live, 103.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	434
0	87	402
1	345	355
0	3227	353

Stop Event

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

Counts

40 → 354

Calls

Call 1

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

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

eval43.0ms (1.4%)

Memory: -19.3MiB live, 76.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 7 843 to 953 computations (87.8% saved)

prune11.0ms (0.4%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	308	12	320
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	310	13	323

Accuracy

99.7%

Counts

323 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.1%	(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) N #s(literal 1 binary64)))
▶	79.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 N N)) (.f64 (.f64 N N) N)) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N))) (.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) N #s(literal 1 binary64)))
✓	99.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) N) N) N #s(literal 1 binary64)))
	79.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
	51.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
	79.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
▶	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	96.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N)))
	7.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
▶	93.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))

Compiler

Compiled 636 to 342 computations (46.2% saved)

series10.0ms (0.3%)

Memory

-31.1MiB live, 15.5MiB allocated; 2ms collecting garbage

Counts

26 → 79

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 1))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (+ 1 N)))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 1))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 N) (/ 1 (pow N 2))))))))
#s(approx (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1) #s(hole binary64 1))
#s(approx (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) #s(hole binary64 1))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) #s(hole binary64 (+ 1 N)))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) #s(hole binary64 (/ (+ 1 N) (pow N 2))))
#s(approx (/ 1 (* N N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) #s(hole binary64 1))
#s(approx (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) #s(hole binary64 (+ 1 N)))
#s(approx (* (+ (* N N) N) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (+ (* N N) N) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 N))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) #s(hole binary64 N))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) N) #s(hole binary64 1))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) #s(hole binary64 (/ 1 N)))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) #s(hole binary64 (/ (+ 1 (/ 1 N)) N)))
#s(approx (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) #s(hole binary64 N))
#s(approx (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (* (+ (* N N) N) (* N N)) #s(hole binary64 (pow N 4)))
#s(approx (* (+ (* N N) N) (* N N)) #s(hole binary64 (* (pow N 4) (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (* N N) (atan2 (- (- N -1) N) (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1)) (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1) (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) (* (+ (/ 1 (* N N)) (/ 1 N)) N) (+ (/ 1 (* N N)) (/ 1 N)) (/ 1 (* N N)) (/ 1 N) (atan2 (- (- N -1) N) (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1)) (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1) (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) (* (+ (* N N) N) (* N N)) (+ (* N N) N) (* (* N N) N))
2.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (* N N) (atan2 (- (- N -1) N) (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1)) (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1) (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) (* (+ (/ 1 (* N N)) (/ 1 N)) N) (+ (/ 1 (* N N)) (/ 1 N)) (/ 1 (* N N)) (/ 1 N) (atan2 (- (- N -1) N) (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1)) (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1) (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) (* (+ (* N N) N) (* N N)) (+ (* N N) N) (* (* N N) N))
2.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (* N N) (atan2 (- (- N -1) N) (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1)) (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1) (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) (* (+ (/ 1 (* N N)) (/ 1 N)) N) (+ (/ 1 (* N N)) (/ 1 N)) (/ 1 (* N N)) (/ 1 N) (atan2 (- (- N -1) N) (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1)) (+ (* (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) N) 1) (/ (* (+ (* N N) N) (* N N)) (* (* N N) N)) (* (+ (* N N) N) (* N N)) (+ (* N N) N) (* (* N N) N))

Time

Variable

Point

Expression

4.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

rewrite184.0ms (6.1%)

Memory

20.4MiB live, 244.8MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	167	1563
0	207	1123
1	652	995
0	5273	995

Stop Event

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

Counts

105 → 1 241

Calls

Call 1

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (fabs.f64 N)) (fabs.f64 N))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64)) (.f64 N N)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 N N N)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (fma.f64 N N N) N) (.f64 N N)) (.f64 (*.f64 N N) N))
(/.f64 (*.f64 (fma.f64 N N N) N) N)
(/.f64 (.f64 (fma.f64 N N N) (-.f64 N (.f64 N N))) (-.f64 N (*.f64 N N)))
(/.f64 (.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (-.f64 (*.f64 N N) N))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N) (.f64 (.f64 N N) N)) (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (*.f64 N N)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N) (.f64 (.f64 N N) N)) (fma.f64 (.f64 (.f64 N N) N) N (.f64 N (-.f64 N (.f64 N N)))))
(/.f64 (.f64 (.f64 (fma.f64 N N N) N) (neg.f64 N)) (*.f64 (neg.f64 N) N))
(/.f64 (.f64 (.f64 (fma.f64 N N N) N) N) (*.f64 N N))
(neg.f64 (*.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (fma.f64 N N N)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 3/2 binary64)) N)
(fma.f64 (.f64 (fabs.f64 N) #s(literal 1 binary64)) (.f64 (fabs.f64 N) #s(literal 1 binary64)) N)
(fma.f64 (.f64 (fabs.f64 N) #s(literal -1 binary64)) (.f64 (fabs.f64 N) #s(literal -1 binary64)) N)
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (.f64 #s(literal 1 binary64) (fabs.f64 N)) N)
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (fabs.f64 N) N)
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 N)) (.f64 #s(literal -1 binary64) (fabs.f64 N)) N)
(fma.f64 (.f64 (.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) N)
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) N)
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) N)
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) N)
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (*.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) N)) N)
(fma.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64) N)
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) #s(literal 1 binary64)) N)
(fma.f64 (fabs.f64 N) (fabs.f64 N) N)
(fma.f64 (neg.f64 N) (neg.f64 N) N)
(fma.f64 (/.f64 #s(literal 1 binary64) N) (.f64 (.f64 N N) N) N)
(fma.f64 (.f64 (.f64 N N) N) (/.f64 #s(literal 1 binary64) N) N)
(fma.f64 (*.f64 N N) #s(literal 1 binary64) N)
(fma.f64 #s(literal 1 binary64) (*.f64 N N) N)
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 N N)) N)
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) N) N)
(fma.f64 N N N)
(-.f64 (/.f64 (.f64 N N) (-.f64 N (.f64 N N))) (/.f64 (.f64 (.f64 (.f64 N N) N) N) (-.f64 N (.f64 N N))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 N N) N) N) (-.f64 (.f64 N N) N)) (/.f64 (.f64 N N) (-.f64 (.f64 N N) N)))
(-.f64 (.f64 N N) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
(-.f64 (.f64 N N) (.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal 1 binary64) N)))
(-.f64 (.f64 N N) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 (*.f64 N N) N)))
(-.f64 (.f64 N N) (.f64 (.f64 (.f64 (neg.f64 N) N) N) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(-.f64 (*.f64 N N) (neg.f64 N))
(-.f64 N (.f64 (.f64 (neg.f64 N) N) #s(literal 1 binary64)))
(-.f64 N (*.f64 (neg.f64 N) N))
(+.f64 (/.f64 (.f64 (.f64 N N) N) (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (.f64 N N))) (/.f64 (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N)) (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (*.f64 N N))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N)) (fma.f64 (.f64 (.f64 N N) N) N (.f64 N (-.f64 N (.f64 N N))))) (/.f64 (.f64 (.f64 N N) N) (fma.f64 (.f64 (.f64 N N) N) N (.f64 N (-.f64 N (*.f64 N N))))))
(+.f64 (*.f64 N N) N)
(+.f64 N (*.f64 N N))
(.f64 (.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 N (fabs.f64 N)) (fabs.f64 N))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3/2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 N #s(literal 3/2 binary64))) (neg.f64 (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 N #s(literal 3/2 binary64))))
(.f64 (pow.f64 N #s(literal 3/2 binary64)) (.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 N) N) N) #s(literal -1 binary64))
(.f64 (.f64 (.f64 (.f64 N N) N) N) (/.f64 #s(literal 1 binary64) N))
(.f64 (.f64 (neg.f64 N) N) (neg.f64 N))
(.f64 (fabs.f64 N) (.f64 (fabs.f64 N) N))
(.f64 (neg.f64 N) (.f64 (neg.f64 N) N))
(.f64 (/.f64 #s(literal 1 binary64) N) (.f64 (.f64 (.f64 N N) N) N))
(.f64 (.f64 (*.f64 N N) N) #s(literal 1 binary64))
(.f64 (.f64 N N) N)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 N) N) N))
(.f64 N (.f64 N N))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 3/2 binary64))
(pow.f64 N #s(literal 3 binary64))
(/.f64 (.f64 (.f64 (.f64 (.f64 N N) N) N) #s(literal -1 binary64)) (neg.f64 N))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 N N) N) N)) (neg.f64 N))
(/.f64 (.f64 (.f64 (*.f64 N N) N) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 N N) N)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (*.f64 N N) N) N) N)
(neg.f64 (.f64 (.f64 (neg.f64 N) N) N))
(exp.f64 (fma.f64 (log.f64 N) #s(literal 3 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 N) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 N) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 N) #s(literal 3 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ N (+ (* N N) 1)) #s(literal 1 binary64))
#s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* N N) 1) #s(literal 1 binary64))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx N N)
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) #s(literal 1 binary64))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ N (+ (* N N) 1)) #s(literal 1 binary64))
#s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ N (+ (* N N) 1)) #s(literal 1 binary64))
#s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (* N N) (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ N (+ (* N N) 1)) #s(literal 1 binary64))
#s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) #s(literal 1 binary64))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) (-.f64 N #s(literal -1 binary64)))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (/ 1 (* N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ N (+ (* N N) 1)) #s(literal 1 binary64))
#s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) #s(literal 1 binary64))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) (-.f64 N #s(literal -1 binary64)))
#s(approx (* (+ (* N N) N) (* N N)) (.f64 (.f64 N N) N))
#s(approx (* (+ (* N N) N) (* N N)) (.f64 (.f64 (fma.f64 N N N) N) N))
#s(approx (+ (* N N) N) N)
#s(approx (+ (* N N) N) (fma.f64 N N N))
#s(approx (* (* N N) N) (.f64 (.f64 N N) N))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* N N) 1) (*.f64 N N))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N)
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N)
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) (-.f64 N #s(literal -1 binary64)))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) N) #s(literal 1 binary64))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N)
#s(approx (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) (-.f64 N #s(literal -1 binary64)))
#s(approx (* (+ (* N N) N) (* N N)) (.f64 (.f64 (*.f64 N N) N) N))
#s(approx (* (+ (* N N) N) (* N N)) (.f64 (.f64 (fma.f64 N N N) N) N))
#s(approx (+ (* N N) N) (*.f64 N N))
#s(approx (+ (* N N) N) (fma.f64 N N N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

eval155.0ms (5.1%)

Memory: 46.6MiB live, 231.5MiB allocated; 52ms collecting garbage
Compiler: Compiled 27 792 to 4 331 computations (84.4% saved)

prune30.0ms (1%)

Memory

-49.2MiB live, 53.5MiB allocated; 11ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	931	12	943
Fresh	4	3	7
Picked	2	3	5
Done	0	1	1
Total	937	19	956

Accuracy

99.8%

Counts

956 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	4.1%	(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)) (.f64 (*.f64 N N) N) #s(literal 1 binary64)))
	77.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 N N)) (.f64 (/.f64 #s(literal 1 binary64) N) (.f64 (.f64 (.f64 N N) N) N))) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) N) (.f64 N N)) N #s(literal 1 binary64)))
✓	99.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	98.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3/2 binary64))) (/.f64 (.f64 N N) (pow.f64 N #s(literal 3/2 binary64)))) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)) (*.f64 N N)) N #s(literal 1 binary64)))
	99.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 N (/.f64 N (.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N) N) N #s(literal 1 binary64)))
	79.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 N N N) N) N) (/.f64 N (.f64 (.f64 N N) N)) #s(literal 1 binary64)))
	93.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 #s(approx (+ (/ 1 (* N N)) (/ 1 N)) (/.f64 #s(literal 1 binary64) N)) N) N) N #s(literal 1 binary64)))
	79.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
✓	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	79.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 N N) N) N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
	96.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
	96.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N)))
	93.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (/.f64 (.f64 (.f64 N N) N) N)))
	7.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
	92.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (.f64 (pow.f64 N #s(literal 3/2 binary64)) (.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
✓	93.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))

Compiler

Compiled 1 109 to 397 computations (64.2% saved)

regimes15.0ms (0.5%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	N
6.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
99.7%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.2%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
96.2%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.4%	1	`N`
93.4%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

-41.4MiB live, 5.4MiB allocated; 2ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
7.9%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
7.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) 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
4.1%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
4.1%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations69.0ms (2.3%)

Memory

10.7MiB live, 56.6MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 89 to 28 computations (68.5% saved)

preprocess72.0ms (2.4%)

Memory: 26.3MiB live, 71.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 228 to 92 computations (59.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.9s (64.1%)

explain142.0ms (4.7%)

preprocess67.0ms (2.2%)

series2.0ms (0.1%)

rewrite53.0ms (1.7%)

eval4.0ms (0.1%)

prune2.0ms (0.1%)

series3.0ms (0.1%)

rewrite77.0ms (2.5%)

eval31.0ms (1%)

prune4.0ms (0.1%)

series3.0ms (0.1%)

rewrite99.0ms (3.3%)

eval43.0ms (1.4%)

prune11.0ms (0.4%)

series10.0ms (0.3%)

rewrite184.0ms (6.1%)

eval155.0ms (5.1%)

prune30.0ms (1%)

regimes15.0ms (0.5%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

derivations69.0ms (2.3%)

preprocess72.0ms (2.4%)

end0.0ms (0%)

Profiling