Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (27.8%)

Memory

15.1MiB live, 343.5MiB allocated

Samples

883.0ms	7 452×	1	valid
58.0ms	356×	2	valid
28.0ms	448×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 774.0ms

ival-atan: 281.0ms (36.3% of total)

adjust: 195.0ms (25.2% of total)

const: 94.0ms (12.1% of total)

ival-add: 73.0ms (9.4% of total)

ival-sub: 69.0ms (8.9% of total)

ival->: 22.0ms (2.8% of total)

ival-<: 20.0ms (2.6% of total)

ival-and: 10.0ms (1.3% of total)

exact: 7.0ms (0.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain94.0ms (2.1%)

Memory

1.1MiB live, 42.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

0.996078431372549

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

28.750244140625

Average Time

0.1123056411743164

Samples

49.0ms	458×	1	valid
2.0ms	14×	2	valid
2.0ms	40×	0	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-atan: 17.0ms (45.4% of total)

adjust: 11.0ms (29.4% of total)

ival-add: 4.0ms (10.7% of total)

ival-sub: 4.0ms (10.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess16.0ms (0.4%)

Memory

-3.1MiB live, 5.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.0%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(atan.f64 N)
cost-diff	0	(+.f64 N #s(literal 1 binary64))
cost-diff	0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.7%)

Memory

2.9MiB live, 10.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0	(atan.f64 N)
accuracy	57.58325640275807	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

25.0ms	229×	1	valid
1.0ms	7×	2	valid
1.0ms	20×	0	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-atan: 8.0ms (40.6% of total)

adjust: 6.0ms (30.5% of total)

ival-add: 3.0ms (15.2% of total)

ival-sub: 2.0ms (10.2% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

-7.2MiB live, 0.5MiB allocated

Counts

4 → 9

Calls

Call 1

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

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

Calls

3 calls:

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

simplify11.0ms (0.2%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	34	32
2	44	32
3	89	32
4	187	32
5	333	32
6	381	32
7	418	32
8	472	32
9	487	32
10	495	32
0	495	32

Stop Event

1×	iter limit
1×	saturated

Counts

9 → 8

Calls

Call 1

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

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

rewrite131.0ms (2.9%)

Memory

0.1MiB live, 48.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	44	16
2	284	16
3	2885	16
0	8353	16

Stop Event

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

Counts

4 → 239

Calls

Call 1

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

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

eval28.0ms (0.6%)

Memory: 3.0MiB live, 24.3MiB allocated
Compiler: Compiled 7 523 to 927 computations (87.7% saved)

prune4.0ms (0.1%)

Memory

-0.9MiB live, 9.2MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	242	2	244
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	243	2	245

Accuracy

99.6%

Counts

245 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.8%	(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (-.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))

Status

Accuracy

Program

▶

11.8%

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

▶

99.6%

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

Compiler

Compiled 91 to 30 computations (67% saved)

simplify122.0ms (2.7%)

Memory

2.0MiB live, 40.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
cost-diff	0	(/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))))
cost-diff	0	(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (-.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
cost-diff	256	(fma.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (-.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	329
0	51	329
1	95	329
2	239	329
3	916	329
4	5237	329
0	8683	327

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (3.1%)

Memory

3.1MiB live, 50.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	1.4388746099834717	(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))
accuracy	1.4682096685941235	(pow.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 3 binary64))
accuracy	1.4945259404463347	(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))
accuracy	58.32946689209048	(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (-.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
accuracy	0	(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.2421875	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))

Samples

103.0ms	229×	1	valid
5.0ms	7×	2	valid
4.0ms	20×	0	valid

Compiler

Compiled 669 to 59 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

adjust: 20.0ms (22.1% of total)

ival-pow: 19.0ms (21% of total)

ival-add: 14.0ms (15.5% of total)

ival-mult: 11.0ms (12.1% of total)

ival-atan: 10.0ms (11% of total)

ival-div: 5.0ms (5.5% of total)

ival-pow2: 4.0ms (4.4% of total)

ival-atan2: 3.0ms (3.3% of total)

ival-sub: 2.0ms (2.2% of total)

ival-neg: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series39.0ms (0.9%)

Memory

-1.5MiB live, 8.7MiB allocated

Counts

10 → 25

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
19.0ms	N	@	0	((atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (+ (* (* (+ (atan N) (atan (+ 1 N))) (atan N)) (- (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))) (pow (atan (+ 1 N)) 4)) (+ (* (/ (pow (atan (+ 1 N)) 3) (+ (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 3) (pow (atan (+ 1 N)) 6))) (+ (* (* (+ (atan N) (atan (+ 1 N))) (atan N)) (- (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))) (pow (atan (+ 1 N)) 4))) (neg (/ (pow (atan N) 3) (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))))) (/ (pow (atan (+ 1 N)) 3) (+ (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 3) (pow (atan (+ 1 N)) 6))) (pow (atan (+ 1 N)) 3) (pow (atan (+ 1 N)) 6) (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 3) (pow (atan (+ 1 N)) 4))
10.0ms	N	@	-inf	((atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (+ (* (* (+ (atan N) (atan (+ 1 N))) (atan N)) (- (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))) (pow (atan (+ 1 N)) 4)) (+ (* (/ (pow (atan (+ 1 N)) 3) (+ (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 3) (pow (atan (+ 1 N)) 6))) (+ (* (* (+ (atan N) (atan (+ 1 N))) (atan N)) (- (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))) (pow (atan (+ 1 N)) 4))) (neg (/ (pow (atan N) 3) (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))))) (/ (pow (atan (+ 1 N)) 3) (+ (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 3) (pow (atan (+ 1 N)) 6))) (pow (atan (+ 1 N)) 3) (pow (atan (+ 1 N)) 6) (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 3) (pow (atan (+ 1 N)) 4))
8.0ms	N	@	inf	((atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (+ (* (* (+ (atan N) (atan (+ 1 N))) (atan N)) (- (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))) (pow (atan (+ 1 N)) 4)) (+ (* (/ (pow (atan (+ 1 N)) 3) (+ (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 3) (pow (atan (+ 1 N)) 6))) (+ (* (* (+ (atan N) (atan (+ 1 N))) (atan N)) (- (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))) (pow (atan (+ 1 N)) 4))) (neg (/ (pow (atan N) 3) (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))))) (/ (pow (atan (+ 1 N)) 3) (+ (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 3) (pow (atan (+ 1 N)) 6))) (pow (atan (+ 1 N)) 3) (pow (atan (+ 1 N)) 6) (pow (* (+ (atan N) (atan (+ 1 N))) (atan N)) 3) (pow (atan (+ 1 N)) 4))

Time

Variable

Point

Expression

19.0ms

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

10.0ms

-inf

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

8.0ms

inf

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

simplify96.0ms (2.2%)

Memory

-3.8MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	425
1	179	421
2	612	421
3	1646	421
4	6734	421
0	8114	401

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

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

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

rewrite164.0ms (3.7%)

Memory

6.0MiB live, 77.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	190
0	51	190
1	223	190
2	1810	190
0	8518	190

Stop Event

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

Counts

10 → 399

Calls

Call 1

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

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

eval128.0ms (2.9%)

Memory: -8.2MiB live, 88.7MiB allocated
Compiler: Compiled 65 693 to 2 295 computations (96.5% saved)

prune15.0ms (0.3%)

Memory

-3.8MiB live, 28.1MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	634	13	647
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	635	14	649

Accuracy

99.8%

Counts

649 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) N #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	76.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
	76.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
	51.9%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))))
▶	76.2%	(atan2.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
▶	95.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	8.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	91.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
▶	6.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 442 to 273 computations (38.2% saved)

simplify135.0ms (3%)

Memory

-0.0MiB live, 43.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (fma.f64 N N N) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
cost-diff	13824	(*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff	0	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64))
cost-diff	0	(fma.f64 N N N)
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) N #s(literal 1 binary64)))
cost-diff	128	(-.f64 (*.f64 N N) #s(literal 1 binary64))
cost-diff	1088	(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	240
0	58	232
1	91	232
2	164	200
3	427	194
4	1559	194
5	5371	194
0	8423	193

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (1.6%)

Memory

0.7MiB live, 32.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.23828125	(pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy	0.2421875	(atan2.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
accuracy	0.383476269536884	(pow.f64 (fma.f64 N N N) #s(literal 2 binary64))
accuracy	15.260504704527476	(*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy	0	(-.f64 N #s(literal 1 binary64))
accuracy	0	(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	0.2421875	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64)))
accuracy	0.26953125	(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0	(fma.f64 N N N)
accuracy	0.2421875	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
accuracy	2.6754362898693937	#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
accuracy	0.2421875	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy	59.89413031110911	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy	0	(*.f64 N N)
accuracy	0.00390625	(-.f64 (*.f64 N N) #s(literal 1 binary64))
accuracy	0.08984375	(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))
accuracy	0.2421875	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) N #s(literal 1 binary64)))

Samples

50.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 486 to 68 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 9.0ms (24.7% of total)

ival-mult: 9.0ms (24.7% of total)

ival-atan2: 6.0ms (16.5% of total)

ival-pow: 4.0ms (11% of total)

ival-div: 3.0ms (8.2% of total)

ival-sub: 3.0ms (8.2% of total)

ival-pow2: 2.0ms (5.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

-2.8MiB live, 4.6MiB allocated

Counts

20 → 48

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify140.0ms (3.1%)

Memory

-1.7MiB live, 45.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	465
1	420	450
2	991	430
3	4471	390
0	8762	356

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite176.0ms (3.9%)

Memory

3.9MiB live, 70.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	203
0	58	132
1	247	132
2	1790	132
0	8739	131

Stop Event

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

Counts

20 → 1 232

Calls

Call 1

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

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

eval141.0ms (3.1%)

Memory: 5.0MiB live, 96.2MiB allocated
Compiler: Compiled 26 342 to 4 150 computations (84.2% saved)

prune25.0ms (0.6%)

Memory

-5.5MiB live, 43.3MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	960	16	976
Fresh	5	3	8
Picked	3	2	5
Done	0	1	1
Total	968	22	990

Accuracy

99.9%

Counts

990 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 N (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 N N) (neg.f64 (-.f64 N #s(literal 1 binary64)))) (.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 (-.f64 N #s(literal 1 binary64))))) N #s(literal 1 binary64)))
	75.9%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64))))) N #s(literal 1 binary64)))
	61.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))) (.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))))) N #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64))))) N #s(literal 1 binary64)))
	97.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (+ (pow N 3) 1) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))
	76.2%	(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
✓	95.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
▶	95.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))))
▶	95.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 N (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
	95.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
▶	8.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	95.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
	95.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) N))))
	95.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
	91.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
✓	6.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
	76.1%	#s(approx (atan2 1 (+ (* (/ (+ (pow N 3) 1) (+ (* N (- N 1)) 1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))

Compiler

Compiled 823 to 472 computations (42.6% saved)

simplify165.0ms (3.7%)

Memory

4.5MiB live, 55.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) (/.f64 N (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 N (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
cost-diff	6976	(/.f64 N (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
cost-diff	128	(-.f64 (*.f64 N N) #s(literal 1 binary64))
cost-diff	384	(/.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64)))
cost-diff	1088	(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64))))
cost-diff	0	(fma.f64 N N #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64))))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))))
cost-diff	7168	(/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))
cost-diff	0	(-.f64 N #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
cost-diff	0	(*.f64 N N)
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))
cost-diff	128	(+.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	260
0	50	224
1	81	224
2	185	181
3	669	180
4	4180	180
0	8488	174

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (1.9%)

Memory

-3.6MiB live, 28.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.23828125	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 N (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
accuracy	0.30078125	(/.f64 N (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
accuracy	2.4801237898693937	#s(approx (+ (* (+ 1 N) N) 1) (/.f64 N (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
accuracy	0.08984375	(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64)))))
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64))))
accuracy	0.22265625	(/.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64)))
accuracy	0.23828125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64))))) N #s(literal 1 binary64)))
accuracy	0.23828125	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))))
accuracy	0.26171875	(*.f64 (fma.f64 N N #s(literal -1 binary64)) N)
accuracy	0.26953125	(/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))
accuracy	2.4801237898693937	#s(approx (+ (* (+ 1 N) N) 1) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64))))
accuracy	0	(-.f64 N #s(literal -1 binary64))
accuracy	0.23828125	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
accuracy	58.689806724391126	#s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	0	(*.f64 N N)
accuracy	0.0390625	(+.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))
accuracy	0.23828125	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))

Samples

40.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 487 to 56 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 6.0ms (21.7% of total)

ival-add: 6.0ms (21.7% of total)

ival-mult: 5.0ms (18.1% of total)

ival-atan2: 4.0ms (14.5% of total)

ival-sub: 3.0ms (10.9% of total)

ival-pow: 2.0ms (7.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

-4.3MiB live, 3.1MiB allocated

Counts

21 → 42

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify117.0ms (2.6%)

Memory

1.2MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	316
1	235	303
2	555	293
3	2423	277
4	7284	277
0	8054	263

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

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

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

rewrite150.0ms (3.4%)

Memory

2.6MiB live, 80.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	211
0	50	188
1	200	145
2	1699	145
0	8258	138

Stop Event

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

Counts

21 → 1 900

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) (-.f64 N #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 N (fma.f64 N N #s(literal -1 binary64))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (fma.f64 N N N) N)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))))
(*.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (pow.f64 (-.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 N N N) N)))))
(.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (fma.f64 N N N) N)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 N (fma.f64 N N #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 N (fma.f64 N N #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 N (fma.f64 N N #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 N N)) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 N N)) (-.f64 #s(literal -1 binary64) (.f64 N N)) (.f64 N (-.f64 #s(literal -1 binary64) (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
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(+.f64 (pow.f64 N #s(literal 3 binary64)) (neg.f64 N))
(+.f64 (neg.f64 N) (pow.f64 N #s(literal 3 binary64)))
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eval269.0ms (6%)

Memory: 17.5MiB live, 188.0MiB allocated
Compiler: Compiled 58 056 to 8 490 computations (85.4% saved)

prune40.0ms (0.9%)

Memory

-12.4MiB live, 76.8MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1 821	7	1 828
Fresh	6	8	14
Picked	3	2	5
Done	0	3	3
Total	1 830	20	1 850

Accuracy

99.9%

Counts

1 850 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 N (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
	61.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))) (.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))))) N #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))))) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))
✓	95.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	72.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64)))))
	97.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 #s(approx (* (+ (* N N) -1) N) (pow.f64 N #s(literal 3 binary64))) (-.f64 N #s(literal 1 binary64)))))
	95.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))))
	95.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
✓	8.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	95.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
	95.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) N))))
	95.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal 1 binary64))))))
	72.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (.f64 (.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 N N #s(literal -1 binary64))))))
	91.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
✓	6.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 1 207 to 432 computations (64.2% saved)

regimes19.0ms (0.4%)

Memory

3.2MiB live, 10.4MiB allocated

Counts

39 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	N
7.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

-4.5MiB live, 3.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.5%	1	`N`
95.5%	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

3.2MiB live, 3.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.5%	1	`N`
95.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

-4.9MiB live, 3.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.8%	1	`N`
91.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify20.0ms (0.5%)

Memory

-6.3MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	83
1	35	83
2	38	83
3	39	83
4	40	83

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness570.0ms (12.8%)

Memory

0.3MiB live, 8.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	425
1	179	421
2	612	421
3	1646	421
4	6734	421
0	8114	401
0	32	203
0	58	132
1	247	132
2	1790	132
0	8739	131
0	27	190
0	51	190
1	223	190
2	1810	190
0	8518	190
0	6	16
0	10	16
1	44	16
2	284	16
3	2885	16
0	8353	16

Stop Event

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

Compiler

Compiled 341 to 164 computations (51.9% saved)

preprocess38.0ms (0.9%)

Memory: 5.7MiB live, 28.3MiB allocated
Compiler: Compiled 196 to 76 computations (61.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Iter	Nodes	Cost
0	14	32
1	34	32
2	44	32
3	89	32
4	187	32
5	333	32
6	381	32
7	418	32
8	472	32
9	487	32
10	495	32
0	495	32

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Iter	Nodes	Cost
0	14	32
1	34	32
2	44	32
3	89	32
4	187	32
5	333	32
6	381	32
7	418	32
8	472	32
9	487	32
10	495	32
0	495	32

start0.0ms (0%)

analyze2.0ms (0%)

sample1.2s (27.8%)

explain94.0ms (2.1%)

preprocess16.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize33.0ms (0.7%)

series1.0ms (0%)

simplify11.0ms (0.2%)

rewrite131.0ms (2.9%)

eval28.0ms (0.6%)

prune4.0ms (0.1%)

simplify122.0ms (2.7%)

localize137.0ms (3.1%)

series39.0ms (0.9%)

simplify96.0ms (2.2%)

rewrite164.0ms (3.7%)

eval128.0ms (2.9%)

prune15.0ms (0.3%)

simplify135.0ms (3%)

localize71.0ms (1.6%)

series9.0ms (0.2%)

simplify140.0ms (3.1%)

rewrite176.0ms (3.9%)

eval141.0ms (3.1%)

prune25.0ms (0.6%)

simplify165.0ms (3.7%)

localize84.0ms (1.9%)

series6.0ms (0.1%)

simplify117.0ms (2.6%)

rewrite150.0ms (3.4%)

eval269.0ms (6%)

prune40.0ms (0.9%)

regimes19.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

simplify20.0ms (0.5%)

soundness570.0ms (12.8%)

preprocess38.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Iter	Nodes	Cost
0	14	32
1	34	32
2	44	32
3	89	32
4	187	32
5	333	32
6	381	32
7	418	32
8	472	32
9	487	32
10	495	32
0	495	32