Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

sample1.7s (30.2%)

Memory

27.8MiB live, 1 575.9MiB allocated

Samples

1.2s	7 339×	1	valid
156.0ms	695×	2	valid
16.0ms	222×	0	valid

Precisions

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

adjust: 379.0ms (34.1% of total)

ival-atan: 364.0ms (32.7% of total)

const: 128.0ms (11.5% of total)

ival-add: 94.0ms (8.4% of total)

ival-sub: 78.0ms (7% of total)

ival->: 27.0ms (2.4% of total)

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

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

exact: 8.0ms (0.7% of total)

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

Bogosity

explain125.0ms (2.2%)

Memory

-20.1MiB live, 119.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
252	-	3	(7.666576603071711)	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	-	0	-	`N`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(atan.f64 N)`
0	-	0	-	`(atan.f64 (+.f64 N #s(literal 1 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`	cancellation	249	5

Confusion

	Predicted +	Predicted -
+	249	3
-	0	4

Precision

1.0

Recall

0.9880952380952381

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	249	3	0
-	0	2	2

Precision?

0.9921259842519685

Recall?

1.0

Freqs

test

number	freq
0	7
1	249

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms	446×	1	valid
10.0ms	50×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-atan: 27.0ms (46.2% of total)

adjust: 21.0ms (35.9% of total)

ival-add: 5.0ms (8.6% of total)

ival-sub: 5.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess14.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.3%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB 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	13	18
0	13	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.9%)

Memory

8.2MiB live, 60.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(atan.f64 N)
accuracy	0.00390625	(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	58.67391205778907	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

36.0ms	223×	1	valid
5.0ms	25×	2	valid
0.0ms	8×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-atan: 15.0ms (46.5% of total)

adjust: 11.0ms (34.1% of total)

ival-add: 3.0ms (9.3% of total)

ival-sub: 2.0ms (6.2% 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

1.7MiB live, 1.7MiB allocated

Counts

4 → 9

Calls

Call 1

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

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

Calls

3 calls:

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

simplify10.0ms (0.2%)

Memory

-36.8MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

9 → 8

Calls

Call 1

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

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

rewrite186.0ms (3.3%)

Memory

47.0MiB live, 195.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 118

Calls

Call 1

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

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

eval38.0ms (0.7%)

Memory: -23.7MiB live, 21.3MiB allocated
Compiler: Compiled 3 055 to 504 computations (83.5% saved)

prune3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	3	124

Accuracy

99.7%

Counts

124 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
▶	8.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))))))
▶	8.4%	(/.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))) (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))))

Status

Accuracy

Program

▶

99.6%

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

▶

8.3%

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

▶

8.4%

(/.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))) (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))))

Compiler

Compiled 127 to 40 computations (68.5% saved)

simplify164.0ms (2.9%)

Memory

21.9MiB live, 169.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
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)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))))))
cost-diff	9	(-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
cost-diff	10	(+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))))
cost-diff	11	(+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
cost-diff	0	(atan.f64 (+.f64 #s(literal 1 binary64) N))
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)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))
cost-diff	0	(/.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))) (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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	476
0	54	476
1	98	470
2	246	446
3	1244	442
4	6829	408
0	8224	405

Stop Event

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

Calls

Call 1

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

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

localize248.0ms (4.4%)

Memory

-31.4MiB live, 353.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.0078125	(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy	0.22265625	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
accuracy	0.88671875	(+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))))
accuracy	0.9534950683790941	(pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))
accuracy	0.9691200683790941	(pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))
accuracy	58.47279456676823	(-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
accuracy	0.88671875	(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	0.9433975586106521	(pow.f64 (atan.f64 N) #s(literal 3 binary64))
accuracy	0.9674988281475362	(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
accuracy	58.51757852788087	(-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))

Samples

175.0ms	225×	1	valid
21.0ms	23×	2	valid
2.0ms	8×	0	valid

Compiler

Compiled 482 to 32 computations (93.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

adjust: 53.0ms (32.9% of total)

ival-pow: 28.0ms (17.4% of total)

ival-add: 22.0ms (13.6% of total)

ival-pow2: 19.0ms (11.8% of total)

ival-div: 11.0ms (6.8% of total)

ival-atan: 11.0ms (6.8% of total)

ival-mult: 8.0ms (5% of total)

ival-sub: 5.0ms (3.1% of total)

ival-atan2: 3.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.8%)

Memory

14.2MiB live, 58.8MiB allocated

Counts

15 → 34

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
22.0ms	N	@	-inf	((/ (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))) (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) (pow (atan (+ 1 N)) 3) (atan (+ 1 N)) (+ (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 2) (* (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))))) (+ (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 2) (+ (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 2) (* (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N))))))) (- (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 3) (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 3)) (/ (- (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 3) (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 3)) (+ (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 2) (+ (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 2) (* (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))))))) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (pow (atan N) 3) (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2)) (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 3) (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 3))
11.0ms	N	@	inf	((/ (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))) (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) (pow (atan (+ 1 N)) 3) (atan (+ 1 N)) (+ (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 2) (* (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))))) (+ (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 2) (+ (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 2) (* (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N))))))) (- (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 3) (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 3)) (/ (- (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 3) (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 3)) (+ (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 2) (+ (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 2) (* (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))))))) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (pow (atan N) 3) (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2)) (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 3) (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 3))
10.0ms	N	@	0	((/ (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2))) (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) (pow (atan (+ 1 N)) 3) (atan (+ 1 N)) (+ (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 2) (* (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))))) (+ (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 2) (+ (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 2) (* (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N))))))) (- (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 3) (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 3)) (/ (- (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 3) (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 3)) (+ (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 2) (+ (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 2) (* (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))))))) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (pow (atan N) 3) (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (pow (atan (+ 1 N)) 2)) (pow (/ (pow (atan (+ 1 N)) 2) (+ (atan N) (atan (+ 1 N)))) 3) (pow (/ (pow (atan N) 2) (+ (atan N) (atan (+ 1 N)))) 3))

Time

Variable

Point

Expression

22.0ms

-inf

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

11.0ms

inf

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

10.0ms

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

simplify132.0ms (2.3%)

Memory

-12.4MiB live, 77.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	609
1	188	565
2	633	565
3	1816	565
4	7858	565
0	8140	549

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 33

Calls

Call 1

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

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

rewrite308.0ms (5.5%)

Memory

30.4MiB live, 274.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	339
0	54	276
1	252	208
2	2031	206
0	9100	205

Stop Event

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

Counts

15 → 809

Calls

Call 1

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

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

eval229.0ms (4.1%)

Memory: -13.9MiB live, 350.5MiB allocated
Compiler: Compiled 114 012 to 4 308 computations (96.2% saved)

prune22.0ms (0.4%)

Memory

-1.2MiB live, 47.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1 099	9	1 108
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	1 102	9	1 111

Accuracy

99.7%

Counts

1 111 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 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 (+.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)))
▶	79.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
	52.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
▶	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
	96.5%	(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))))
▶	93.2%	(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 308 to 168 computations (45.5% saved)

simplify136.0ms (2.4%)

Memory

24.4MiB live, 70.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (.f64 (fma.f64 N (-.f64 N #s(literal 1 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	1	(fma.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (.f64 (fma.f64 N (-.f64 N #s(literal 1 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	6	(fma.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
cost-diff	14	(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
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	(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))
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)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
cost-diff	0	(*.f64 N N)
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 N N N)
cost-diff	0	(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	289
0	52	281
1	109	261
2	440	219
3	3235	217
0	8377	217

Stop Event

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

Calls

Call 1

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

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

localize69.0ms (1.2%)

Memory

13.2MiB live, 59.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.21875	(*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
accuracy	0.22265625	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
accuracy	0.36166000976844204	(*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	23.012860694050975	(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	0.0078125	(-.f64 (fma.f64 N N N) #s(literal 1 binary64))
accuracy	0.22265625	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
accuracy	0.40853500976844204	(pow.f64 (fma.f64 N N N) #s(literal 2 binary64))
accuracy	13.456478238500875	(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 N N)
accuracy	0.22265625	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
accuracy	4.206217875895898	#s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))
accuracy	0.22265625	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy	59.90350379676632	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 N N N)
accuracy	0.0	(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
accuracy	0.22265625	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))

Samples

50.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 314 to 31 computations (90.1% saved)

Precisions

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

ival-mult: 10.0ms (26.9% of total)

ival-add: 7.0ms (18.8% of total)

ival-atan2: 7.0ms (18.8% of total)

ival-div: 3.0ms (8.1% of total)

ival-sub: 3.0ms (8.1% of total)

ival-pow: 3.0ms (8.1% of total)

ival-pow2: 2.0ms (5.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

19 → 54

Calls

Call 1

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

Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
N
(* N (+ 1 N))
(atan2 1 (+ 1 (* N (+ 1 N))))
(pow N 2)
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
-1
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(* (pow N 2) (+ 1 (* 2 N)))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 N)) 1)))
(atan2 1 (+ 1 (/ (* N (+ 1 (+ (* N (- N 1)) (* (pow N 3) (+ 1 (* N (- N 1))))))) (pow (+ 1 (* N (- N 1))) 2))))
(- N 1)
(- (* N (+ 1 N)) 1)
(+ 1 (* -2 N))
(+ 1 (* N (- (* 3 N) 2)))
(+ 1 (* N (- (* N (+ 3 (* -2 N))) 2)))
(pow N 3)
(* (pow N 3) (+ 1 (* -1 N)))
(* (pow N 3) (+ 1 (* N (- N 1))))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(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)))
(pow N 5)
(* (pow N 5) (- 1 (/ 1 N)))
(* (pow N 5) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* (pow N 5) (- (+ 1 (+ (/ 1 (pow N 2)) (/ 1 (pow N 3)))) (/ 1 N)))
(atan2 1 (- (+ 1 (+ (/ N (pow (- (+ 1 (pow N 2)) N) 2)) (+ (/ (pow N 3) (pow (- (+ 1 (pow N 2)) N) 2)) (+ (/ (pow N 4) (pow (- (+ 1 (pow N 2)) N) 2)) (/ (pow N 6) (pow (- (+ 1 (pow N 2)) N) 2)))))) (+ (/ (pow N 2) (pow (- (+ 1 (pow N 2)) N) 2)) (/ (pow N 5) (pow (- (+ 1 (pow N 2)) N) 2)))))
(* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))
(* (pow N 4) (- 1 (* 2 (/ 1 N))))
(* (pow N 4) (- (+ 1 (/ 3 (pow N 2))) (* 2 (/ 1 N))))
(* (pow N 4) (- (+ 1 (/ 3 (pow N 2))) (+ (* 2 (/ 1 N)) (* 2 (/ 1 (pow N 3))))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (pow N 2) (+ 1 (* -1 N)))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(* -1 (* (pow N 5) (- (/ 1 N) 1)))
(* -1 (* (pow N 5) (- (* -1 (/ (- (/ 1 N) 1) N)) 1)))
(* -1 (* (pow N 5) (- (* -1 (/ (- (+ (/ 1 N) (/ 1 (pow N 2))) 1) N)) 1)))
(atan2 1 (+ 1 (/ (* N (+ 1 (+ (* -1 N) (+ (* (pow N 3) (+ 1 (+ (* -1 N) (pow N 2)))) (pow N 2))))) (pow (+ 1 (+ (* -1 N) (pow N 2))) 2))))
(* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 N))) N))))
(* (pow N 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 2 (/ 1 N))) N))) N))))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify161.0ms (2.9%)

Memory

-11.4MiB live, 125.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	644
1	535	614
2	1860	579
0	8854	538

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

Calls

Call 1

Inputs
(atan2 1 (+ 1 (+ N (pow N 2))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
N
(* N (+ 1 N))
(atan2 1 (+ 1 (* N (+ 1 N))))
(pow N 2)
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
-1
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(* (pow N 2) (+ 1 (* 2 N)))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 N)) 1)))
(atan2 1 (+ 1 (/ (* N (+ 1 (+ (* N (- N 1)) (* (pow N 3) (+ 1 (* N (- N 1))))))) (pow (+ 1 (* N (- N 1))) 2))))
(- N 1)
(- (* N (+ 1 N)) 1)
(+ 1 (* -2 N))
(+ 1 (* N (- (* 3 N) 2)))
(+ 1 (* N (- (* N (+ 3 (* -2 N))) 2)))
(pow N 3)
(* (pow N 3) (+ 1 (* -1 N)))
(* (pow N 3) (+ 1 (* N (- N 1))))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(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)))
(pow N 5)
(* (pow N 5) (- 1 (/ 1 N)))
(* (pow N 5) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* (pow N 5) (- (+ 1 (+ (/ 1 (pow N 2)) (/ 1 (pow N 3)))) (/ 1 N)))
(atan2 1 (- (+ 1 (+ (/ N (pow (- (+ 1 (pow N 2)) N) 2)) (+ (/ (pow N 3) (pow (- (+ 1 (pow N 2)) N) 2)) (+ (/ (pow N 4) (pow (- (+ 1 (pow N 2)) N) 2)) (/ (pow N 6) (pow (- (+ 1 (pow N 2)) N) 2)))))) (+ (/ (pow N 2) (pow (- (+ 1 (pow N 2)) N) 2)) (/ (pow N 5) (pow (- (+ 1 (pow N 2)) N) 2)))))
(* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))
(* (pow N 4) (- 1 (* 2 (/ 1 N))))
(* (pow N 4) (- (+ 1 (/ 3 (pow N 2))) (* 2 (/ 1 N))))
(* (pow N 4) (- (+ 1 (/ 3 (pow N 2))) (+ (* 2 (/ 1 N)) (* 2 (/ 1 (pow N 3))))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (pow N 2) (+ 1 (* -1 N)))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(* -1 (* (pow N 5) (- (/ 1 N) 1)))
(* -1 (* (pow N 5) (- (* -1 (/ (- (/ 1 N) 1) N)) 1)))
(* -1 (* (pow N 5) (- (* -1 (/ (- (+ (/ 1 N) (/ 1 (pow N 2))) 1) N)) 1)))
(atan2 1 (+ 1 (/ (* N (+ 1 (+ (* -1 N) (+ (* (pow N 3) (+ 1 (+ (* -1 N) (pow N 2)))) (pow N 2))))) (pow (+ 1 (+ (* -1 N) (pow N 2))) 2))))
(* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 N))) N))))
(* (pow N 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 2 (/ 1 N))) N))) N))))

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

rewrite211.0ms (3.7%)

Memory

-6.5MiB live, 140.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	262
0	52	170
1	226	160
2	1772	142
0	9963	142

Stop Event

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

Counts

19 → 1 291

Calls

Call 1

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

Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(pow.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (neg.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))))) (.f64 (neg.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64)))) #s(literal -1 binary64))) (pow.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))) (.f64 (neg.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64)))) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (neg.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))))) (.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (*.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal 1 binary64))) (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 2 binary64)))
(/.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (-.f64 (fma.f64 N N N) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (-.f64 (fma.f64 N N N) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))) (fabs.f64 (fabs.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))))))
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fabs.f64 (-.f64 (fma.f64 N N N) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (-.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)))) (sqrt.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(/.f64 (sqrt.f64 (*.f64 (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)))) (sqrt.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (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 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (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 (sqrt.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))))
(/.f64 (sqrt.f64 (.f64 (+.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)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (fma.f64 N N (-.f64 N #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 N #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 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)) (fma.f64 N N N)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 N N (-.f64 N #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (pow.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
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(/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 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 2 binary64)))
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(fma.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) (-.f64 N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (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)))
(fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (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 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
(fma.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 N (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (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 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 4 binary64)))
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(fabs.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal 1 binary64))
(+.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(+.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
(.f64 (fabs.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3/2 binary64)))) (pow.f64 N #s(literal 3/2 binary64)))
(.f64 (fabs.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 N N))) N)
(.f64 (fabs.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)) (*.f64 N N))
(.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 3/2 binary64)))
(.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 N N)) N)
(.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) (*.f64 N N))
(.f64 (pow.f64 N #s(literal 3/2 binary64)) (fabs.f64 (.f64 (pow.f64 N #s(literal 3/2 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(.f64 (pow.f64 N #s(literal 3/2 binary64)) (.f64 (pow.f64 N #s(literal 3/2 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(.f64 (.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
(.f64 (.f64 N N) (fabs.f64 (*.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(.f64 (.f64 N N) (*.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(.f64 N (fabs.f64 (.f64 (*.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(.f64 N (.f64 (*.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (-.f64 (fma.f64 N N N) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (-.f64 (fma.f64 N N N) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 N #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(/.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 N N (-.f64 N #s(literal 1 binary64))))
(/.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal 3/2 binary64)))) (*.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal 3/2 binary64)))) (*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(fma.f64 (pow.f64 (neg.f64 N) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 N) #s(literal 3/2 binary64)) (*.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (pow.f64 (neg.f64 N) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 N) #s(literal 3/2 binary64)) (*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(fma.f64 (.f64 N (neg.f64 N)) (neg.f64 N) (.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (.f64 N (neg.f64 N)) (neg.f64 N) (.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(fma.f64 (neg.f64 (pow.f64 N #s(literal 3/2 binary64))) (neg.f64 (pow.f64 N #s(literal 3/2 binary64))) (*.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (neg.f64 (pow.f64 N #s(literal 3/2 binary64))) (neg.f64 (pow.f64 N #s(literal 3/2 binary64))) (*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) (*.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) (*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(fma.f64 (neg.f64 N) (.f64 (neg.f64 N) N) (.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (neg.f64 N) (.f64 (neg.f64 N) N) (.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(fma.f64 (neg.f64 N) (.f64 N N) (.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (neg.f64 N) (.f64 N N) (.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(fma.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64)))
(fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(fma.f64 (.f64 N N) (neg.f64 N) (.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (.f64 N N) (neg.f64 N) (.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(fma.f64 (.f64 N N) N (.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (.f64 N N) N (.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(fma.f64 N (.f64 N N) (.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 N (.f64 N N) (.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)) (*.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)) (*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))
(sqrt.f64 (*.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (pow.f64 N #s(literal 3 binary64))))
(fabs.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))) (pow.f64 N #s(literal 3 binary64)))
(+.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)) (pow.f64 N #s(literal 3 binary64)))
(+.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 (fma.f64 N N N) (pow.f64 N #s(literal 3 binary64))))
(+.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N N)))

eval217.0ms (3.9%)

Memory: 10.9MiB live, 202.8MiB allocated
Compiler: Compiled 56 947 to 5 921 computations (89.6% saved)

prune34.0ms (0.6%)

Memory

-24.8MiB live, 68.8MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 333	12	1 345
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	1 338	16	1 354

Accuracy

99.8%

Counts

1 354 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.9%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 N #s(literal 3 binary64)) (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -2 binary64))))) N #s(literal 1 binary64)))
▶	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
▶	63.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) (.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 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 (+.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)))
	79.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
	72.5%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
▶	75.9%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) N))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
	77.0%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) N) N)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
	96.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) N) 1) (fma.f64 N N N)))
▶	8.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) N) 1) (-.f64 N #s(literal -1 binary64))))
✓	93.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
	72.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (sqrt.f64 (pow.f64 N #s(literal 4 binary64)))))
✓	6.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 562 to 310 computations (44.8% saved)

simplify187.0ms (3.3%)

Memory

42.2MiB live, 173.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) N))
cost-diff	0	#s(approx (- (pow (+ (* N N) N) 2) 1) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) N)))
cost-diff	0	(/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) N))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) N))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) (.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 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	1	(fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) (.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 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	6	(fma.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) (.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
cost-diff	14	(/.f64 (fma.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) (.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 N)
cost-diff	0	(fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
cost-diff	3	(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
cost-diff	0	(-.f64 N #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (+ (* N N) N) 1) (-.f64 N #s(literal -1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) N) 1) (-.f64 N #s(literal -1 binary64))))
cost-diff	0	(fma.f64 N N #s(literal 1 binary64))
cost-diff	0	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	332
0	71	319
1	146	319
2	534	255
3	4534	255
0	8126	255

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (2.7%)

Memory

-32.2MiB live, 120.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) N))
accuracy	0.22265625	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) N))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
accuracy	1.8516339941261089	#s(approx (- (pow (+ (* N N) N) 2) 1) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) N)))
accuracy	13.456478238500875	(/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) N))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))
accuracy	0.22265625	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) (.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
accuracy	0.2421875	(*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)
accuracy	0.36166000976844204	(*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	23.012860694050975	(/.f64 (fma.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) (.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	0.0	(sqrt.f64 N)
accuracy	0.00390625	(fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64))
accuracy	0.22265625	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
accuracy	0.5390625	(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
accuracy	0.0	(-.f64 N #s(literal -1 binary64))
accuracy	0.22265625	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) N) 1) (-.f64 N #s(literal -1 binary64))))
accuracy	58.691672943033936	#s(approx (+ (+ (* N N) N) 1) (-.f64 N #s(literal -1 binary64)))
accuracy	0.0	(fma.f64 N N #s(literal 1 binary64))
accuracy	0.0546875	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
accuracy	0.22265625	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Samples

90.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 344 to 42 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-sub: 31.0ms (41% of total)

ival-mult: 14.0ms (18.5% of total)

ival-add: 12.0ms (15.9% of total)

ival-atan2: 7.0ms (9.3% of total)

ival-div: 3.0ms (4% of total)

ival-pow: 3.0ms (4% of total)

ival-pow2: 3.0ms (4% of total)

ival-sqrt: 2.0ms (2.6% of total)

adjust: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series9.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

20 → 62

Calls

Call 1

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

Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (pow N 2))
(atan2 1 (+ 1 (* N (+ 1 N))))
(sqrt N)
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 N)) 1)))
(atan2 1 (+ 1 (/ (* N (+ 1 (+ (* N (- N 1)) (* (pow N 3) (+ 1 (* N (- N 1))))))) (pow (+ 1 (* N (- N 1))) 2))))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
-1
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(* 2 (pow N 3))
(* (pow N 3) (+ 2 N))
(+ 1 (* -2 N))
(+ 1 (* N (- (* 3 N) 2)))
(+ 1 (* N (- (* N (+ 3 (* -2 N))) 2)))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* N (+ 1 (/ 1 N)))
(pow N 5)
(* (pow N 5) (- 1 (/ 1 N)))
(* (pow N 5) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* (pow N 5) (- (+ 1 (+ (/ 1 (pow N 2)) (/ 1 (pow N 3)))) (/ 1 N)))
(atan2 1 (- (+ 1 (+ (/ N (pow (- (+ 1 (pow N 2)) N) 2)) (+ (/ (pow N 3) (pow (- (+ 1 (pow N 2)) N) 2)) (+ (/ (pow N 4) (pow (- (+ 1 (pow N 2)) N) 2)) (/ (pow N 6) (pow (- (+ 1 (pow N 2)) N) 2)))))) (+ (/ (pow N 2) (pow (- (+ 1 (pow N 2)) N) 2)) (/ (pow N 5) (pow (- (+ 1 (pow N 2)) N) 2)))))
(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))))
(* (pow N 4) (- 1 (* 2 (/ 1 N))))
(* (pow N 4) (- (+ 1 (/ 3 (pow N 2))) (* 2 (/ 1 N))))
(* (pow N 4) (- (+ 1 (/ 3 (pow N 2))) (+ (* 2 (/ 1 N)) (* 2 (/ 1 (pow N 3))))))
(pow N 3)
(* (pow N 3) (- 1 (/ 1 N)))
(* (pow N 3) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* -1 (* N (pow (sqrt -1) 2)))
(* -1 (* N (- (pow (sqrt -1) 2) (/ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 (* -1 (* N (pow (sqrt -1) 2)))))))
(* -1 (* (pow N 2) (pow (sqrt -1) 2)))
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (/ 1 N)))
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (+ (/ 1 N) (/ 1 (pow N 2)))))
(* -1 (* (sqrt N) (pow (sqrt -1) 2)))
(* -1 (* (pow N 5) (- (/ 1 N) 1)))
(* -1 (* (pow N 5) (- (* -1 (/ (- (/ 1 N) 1) N)) 1)))
(* -1 (* (pow N 5) (- (* -1 (/ (- (+ (/ 1 N) (/ 1 (pow N 2))) 1) N)) 1)))
(atan2 1 (+ 1 (/ (* N (+ 1 (+ (* -1 N) (+ (* (pow N 3) (+ 1 (+ (* -1 N) (pow N 2)))) (pow N 2))))) (pow (+ 1 (+ (* -1 N) (pow N 2))) 2))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (pow N 2) (+ 1 (* -1 N)))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 N))) N))))
(* (pow N 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 2 (/ 1 N))) N))) N))))
(* -1 (* (pow N 3) (- (/ 1 N) 1)))
(* -1 (* (pow N 3) (- (* -1 (/ (- (/ 1 N) 1) N)) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify184.0ms (3.3%)

Memory

-4.1MiB live, 187.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	673
1	614	636
2	2113	591
0	8724	552

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

Calls

Call 1

Inputs
(atan2 1 (+ 1 (+ N (pow N 2))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (pow N 2))
(atan2 1 (+ 1 (* N (+ 1 N))))
(sqrt N)
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 N)) 1)))
(atan2 1 (+ 1 (/ (* N (+ 1 (+ (* N (- N 1)) (* (pow N 3) (+ 1 (* N (- N 1))))))) (pow (+ 1 (* N (- N 1))) 2))))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
-1
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(* 2 (pow N 3))
(* (pow N 3) (+ 2 N))
(+ 1 (* -2 N))
(+ 1 (* N (- (* 3 N) 2)))
(+ 1 (* N (- (* N (+ 3 (* -2 N))) 2)))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* N (+ 1 (/ 1 N)))
(pow N 5)
(* (pow N 5) (- 1 (/ 1 N)))
(* (pow N 5) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* (pow N 5) (- (+ 1 (+ (/ 1 (pow N 2)) (/ 1 (pow N 3)))) (/ 1 N)))
(atan2 1 (- (+ 1 (+ (/ N (pow (- (+ 1 (pow N 2)) N) 2)) (+ (/ (pow N 3) (pow (- (+ 1 (pow N 2)) N) 2)) (+ (/ (pow N 4) (pow (- (+ 1 (pow N 2)) N) 2)) (/ (pow N 6) (pow (- (+ 1 (pow N 2)) N) 2)))))) (+ (/ (pow N 2) (pow (- (+ 1 (pow N 2)) N) 2)) (/ (pow N 5) (pow (- (+ 1 (pow N 2)) N) 2)))))
(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))))
(* (pow N 4) (- 1 (* 2 (/ 1 N))))
(* (pow N 4) (- (+ 1 (/ 3 (pow N 2))) (* 2 (/ 1 N))))
(* (pow N 4) (- (+ 1 (/ 3 (pow N 2))) (+ (* 2 (/ 1 N)) (* 2 (/ 1 (pow N 3))))))
(pow N 3)
(* (pow N 3) (- 1 (/ 1 N)))
(* (pow N 3) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* -1 (* N (pow (sqrt -1) 2)))
(* -1 (* N (- (pow (sqrt -1) 2) (/ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 (* -1 (* N (pow (sqrt -1) 2)))))))
(* -1 (* (pow N 2) (pow (sqrt -1) 2)))
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (/ 1 N)))
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (+ (/ 1 N) (/ 1 (pow N 2)))))
(* -1 (* (sqrt N) (pow (sqrt -1) 2)))
(* -1 (* (pow N 5) (- (/ 1 N) 1)))
(* -1 (* (pow N 5) (- (* -1 (/ (- (/ 1 N) 1) N)) 1)))
(* -1 (* (pow N 5) (- (* -1 (/ (- (+ (/ 1 N) (/ 1 (pow N 2))) 1) N)) 1)))
(atan2 1 (+ 1 (/ (* N (+ 1 (+ (* -1 N) (+ (* (pow N 3) (+ 1 (+ (* -1 N) (pow N 2)))) (pow N 2))))) (pow (+ 1 (+ (* -1 N) (pow N 2))) 2))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (pow N 2) (+ 1 (* -1 N)))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 N))) N))))
(* (pow N 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 2 (/ 1 N))) N))) N))))
(* -1 (* (pow N 3) (- (/ 1 N) 1)))
(* -1 (* (pow N 3) (- (* -1 (/ (- (/ 1 N) 1) N)) 1)))

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

rewrite215.0ms (3.8%)

Memory

-38.7MiB live, 163.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	285
0	71	252
1	319	252
2	2364	252
0	9673	248

Stop Event

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

Counts

20 → 698

Calls

Call 1

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

Outputs
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(*.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(/.f64 (fma.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 N #s(literal 3 binary64)))) (.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 N N) (-.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) #s(literal 2 binary64))) (neg.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(/.f64 (pow.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 N #s(literal 1 binary64))))
(fma.f64 (neg.f64 (hypot.f64 (sqrt.f64 N) N)) (neg.f64 (hypot.f64 (sqrt.f64 N) N)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (sqrt.f64 N))) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (hypot.f64 (sqrt.f64 N) N)) (fabs.f64 (hypot.f64 (sqrt.f64 N) N)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (-.f64 N #s(literal -1 binary64))) N #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 5/2 binary64))) (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 7/2 binary64))) (pow.f64 N #s(literal 1/4 binary64)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 N #s(literal 5/2 binary64))) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 1/4 binary64)) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (exp.f64 (log1p.f64 N)) N #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 (.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 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) #s(literal 1 binary64)) (.f64 N N))
(fma.f64 (pow.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) (-.f64 (.f64 N N) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(fma.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (sqrt.f64 N)) #s(literal 1 binary64)) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (pow.f64 (hypot.f64 (sqrt.f64 N) N) #s(literal 1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 N) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 1/4 binary64)) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 4 binary64)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (.f64 N N))
(fma.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) (-.f64 (.f64 N N) #s(literal 1 binary64))) (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (sqrt.f64 N)) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) #s(literal 1 binary64))
(fma.f64 (hypot.f64 (sqrt.f64 N) N) (hypot.f64 (sqrt.f64 N) N) #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 N #s(literal 7/2 binary64))) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (pow.f64 N #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (pow.f64 N #s(literal 1/4 binary64)) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (sqrt.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fma.f64 N N N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 N N))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 N) (fabs.f64 (*.f64 (sqrt.f64 N) (-.f64 N #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (pow.f64 (*.f64 (sqrt.f64 N) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (pow.f64 N #s(literal 3/2 binary64)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N (fabs.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 N (exp.f64 (log1p.f64 N)) #s(literal 1 binary64))
(fma.f64 N (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 N N (-.f64 N #s(literal -1 binary64)))
(fma.f64 N #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) N (fma.f64 N N #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (*.f64 N N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) N))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal -1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(+.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/.f64 (fma.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64))) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 5/2 binary64))) (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 7/2 binary64))) (pow.f64 N #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 N #s(literal 5/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 N #s(literal 7/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 N N #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (.f64 N N) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (pow.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 N N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) N) 1) (-.f64 N #s(literal -1 binary64))))
#s(approx (+ (+ (* N N) N) 1) (-.f64 N #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.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 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) (-.f64 N #s(literal -1 binary64)))
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(fabs.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(+.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)
(.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(*.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) N) (-.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) N) (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 (.f64 N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
(/.f64 (.f64 N (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 1/4 binary64)) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 1/4 binary64)) (.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) N)))
(fma.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 1/4 binary64)) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N))
(fma.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 1/4 binary64)) (.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) N)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) N (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) N (.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) N)))
(fma.f64 (pow.f64 N #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N))
(fma.f64 (pow.f64 N #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) (.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) N)))
(fma.f64 (pow.f64 N #s(literal 1/4 binary64)) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N))
(fma.f64 (pow.f64 N #s(literal 1/4 binary64)) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) N)))
(fma.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) N N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) N)))
(fma.f64 N (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N))
(fma.f64 N (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) N)))
(fma.f64 N (*.f64 (-.f64 N #s(literal 1 binary64)) N) N)
(fma.f64 N #s(literal 1 binary64) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N))
(fma.f64 N #s(literal 1 binary64) (.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) N)))
(fma.f64 #s(literal 1 binary64) N (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N))
(fma.f64 #s(literal 1 binary64) N (.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) N)))
(+.f64 (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N) N)
(+.f64 (.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) N)) N)
(+.f64 N (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N))
(+.f64 N (.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) N)))

eval105.0ms (1.9%)

Memory: -23.6MiB live, 112.9MiB allocated
Compiler: Compiled 30 426 to 3 078 computations (89.9% saved)

prune28.0ms (0.5%)

Memory

-10.2MiB live, 42.7MiB allocated

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	653	6	659
Fresh	1	7	8
Picked	1	4	5
Done	0	3	3
Total	655	20	675

Accuracy

99.8%

Counts

675 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.9%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 N #s(literal 3 binary64)) (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -2 binary64))))) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 N) #s(literal 1/4 binary64))) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
✓	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (sqrt.f64 N) (-.f64 N #s(literal -1 binary64))))
	63.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (.f64 N N)) (sqrt.f64 N)) (sqrt.f64 N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	60.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (- N 1) N) 1) N) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N)) (.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 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 (+.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)))
	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (sqrt.f64 N)) (sqrt.f64 N) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (pow.f64 N #s(literal 5/2 binary64))) (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) (-.f64 N #s(literal -1 binary64))))
	72.5%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
✓	75.9%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) N))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
	77.0%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) N) N)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
	96.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) N) 1) (fma.f64 N N N)))
✓	8.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) N) 1) (-.f64 N #s(literal -1 binary64))))
✓	93.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
	72.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (sqrt.f64 (pow.f64 N #s(literal 4 binary64)))))
✓	6.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 1 062 to 389 computations (63.4% saved)

regimes15.0ms (0.3%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 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 (+ (+ (* N 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
2.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
96.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
96.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB 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 (+ (+ (* N 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
93.2%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
93.2%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Memory

4.6MiB live, 4.6MiB 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)

simplify19.0ms (0.3%)

Memory

-22.3MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	29	67
2	45	67
3	88	67
4	199	67
5	414	67
6	625	67
7	657	67
8	666	67

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations511.0ms (9.1%)

Memory

31.0MiB live, 255.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	609
1	188	565
2	633	565
3	1816	565
4	7858	565
0	8140	549
0	29	262
0	52	170
1	226	160
2	1772	142
0	9963	142
0	28	339
0	54	276
1	252	208
2	2031	206
0	9100	205
0	6	16
0	10	16
1	43	16
2	266	16
3	2561	16
0	9660	16

Stop Event

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

Compiler

Compiled 67 to 23 computations (65.7% saved)

preprocess78.0ms (1.4%)

Memory: -22.2MiB live, 83.1MiB allocated
Compiler: Compiled 164 to 68 computations (58.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.7s (30.2%)

explain125.0ms (2.2%)

preprocess14.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize48.0ms (0.9%)

series1.0ms (0%)

simplify10.0ms (0.2%)

rewrite186.0ms (3.3%)

eval38.0ms (0.7%)

prune3.0ms (0.1%)

simplify164.0ms (2.9%)

localize248.0ms (4.4%)

series45.0ms (0.8%)

simplify132.0ms (2.3%)

rewrite308.0ms (5.5%)

eval229.0ms (4.1%)

prune22.0ms (0.4%)

simplify136.0ms (2.4%)

localize69.0ms (1.2%)

series10.0ms (0.2%)

simplify161.0ms (2.9%)

rewrite211.0ms (3.7%)

eval217.0ms (3.9%)

prune34.0ms (0.6%)

simplify187.0ms (3.3%)

localize151.0ms (2.7%)

series9.0ms (0.2%)

simplify184.0ms (3.3%)

rewrite215.0ms (3.8%)

eval105.0ms (1.9%)

prune28.0ms (0.5%)

regimes15.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

simplify19.0ms (0.3%)

derivations511.0ms (9.1%)

preprocess78.0ms (1.4%)

end0.0ms (0%)

Profiling