Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze15.0ms (0.3%)

Memory

-40.0MiB live, 2.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.7s (31.9%)

Memory

91.7MiB live, 2 014.8MiB allocated

Samples

1.2s	7 468×	1	valid
79.0ms	373×	2	valid
28.0ms	415×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-atan: 382.0ms (36.5% of total)

adjust: 293.0ms (28% of total)

const: 113.0ms (10.8% of total)

ival-sub: 93.0ms (8.9% of total)

ival-add: 92.0ms (8.8% of total)

ival->: 28.0ms (2.7% of total)

ival-<: 23.0ms (2.2% of total)

ival-and: 11.0ms (1.1% of total)

exact: 7.0ms (0.7% of total)

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

Bogosity

explain120.0ms (2.3%)

Memory

3.1MiB live, 192.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`	cancellation	254	2

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	0	2	0

Precision?

0.9921875

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms	456×	1	valid
6.0ms	36×	2	valid
1.0ms	20×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-atan: 23.0ms (50% of total)

adjust: 13.0ms (28.2% of total)

ival-add: 5.0ms (10.9% of total)

ival-sub: 5.0ms (10.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess14.0ms (0.3%)

Memory

-19.9MiB live, 25.1MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

series1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

6 → 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))
N
#s(literal 1 binary64)
(atan.f64 N)

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

Calls

3 calls:

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

simplify6.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB 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)
N
(atan 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))
N
(atan N)
(atan.f64 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)))

rewrite236.0ms (4.5%)

Memory

10.8MiB live, 383.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	43	18
2	266	18
3	2561	18
0	9660	18

Stop Event

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

Counts

6 → 136

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
(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))))))))
(/.f64 (-.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 (+.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 (.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 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (*.f64 (fma.f64 (atan.f64 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)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 9 binary64)) (pow.f64 (atan.f64 N) #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (atan.f64 N) (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 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 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 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
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eval30.0ms (0.6%)

Memory: -8.2MiB live, 48.8MiB allocated
Compiler: Compiled 3 416 to 606 computations (82.3% saved)

prune3.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	1	159

Accuracy

99.5%

Counts

159 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

series2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

5 → 11

Calls

Call 1

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

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

Calls

3 calls:

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

simplify124.0ms (2.4%)

Memory

2.0MiB live, 133.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

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

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

rewrite171.0ms (3.3%)

Memory

6.7MiB live, 252.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	19
0	9	19
1	38	19
2	261	19
3	2707	19
0	8997	19

Stop Event

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

Counts

5 → 266

Calls

Call 1

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

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

eval85.0ms (1.6%)

Memory: -12.6MiB live, 75.9MiB allocated
Compiler: Compiled 6 439 to 1 058 computations (83.6% saved)

prune58.0ms (1.1%)

Memory

-8.9MiB live, 36.8MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	275	17	292
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	275	18	293

Accuracy

99.8%

Counts

293 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	99.0%	(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)))
	73.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
▶	94.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	94.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) N)) (sqrt.f64 N) #s(literal 1 binary64)))
	71.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) N))) (fabs.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 1 binary64)))
	94.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (fabs.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
	94.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
▶	94.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
	73.3%	(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))))
▶	68.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
	46.3%	(atan2.f64 #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 N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 N N N) N)))))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	97.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	7.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	94.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
▶	6.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 588 to 363 computations (38.3% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

series10.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

29 → 67

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	N	@	inf	((atan2 1 (+ (+ (* N N) 1) N)) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (atan2 1 (+ (* N N) (- 1 N))) (+ (* N N) (- 1 N)) (- 1 N) (atan2 1 (+ (* (/ (- -1 (pow N 3)) (+ (* -1 (+ (* N N) N)) -1)) N) 1)) (+ (* (/ (- -1 (pow N 3)) (+ (* -1 (+ (* N N) N)) -1)) N) 1) (/ (- -1 (pow N 3)) (+ (* -1 (+ (* N N) N)) -1)) (- -1 (pow N 3)) -1 (pow N 3) 3 (+ (* -1 (+ (* N N) N)) -1) (+ (* N N) N) (atan2 1 (/ (- (pow N 4) (pow (- N 1) 2)) (- (* N N) (- 1 N)))) (/ (- (pow N 4) (pow (- N 1) 2)) (- (* N N) (- 1 N))) (- (pow N 4) (pow (- N 1) 2)) (pow N 4) 4 (pow (- N 1) 2) (- N 1) 2 (- (* N N) (- 1 N)) (* N N))
3.0ms	N	@	-inf	((atan2 1 (+ (+ (* N N) 1) N)) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (atan2 1 (+ (* N N) (- 1 N))) (+ (* N N) (- 1 N)) (- 1 N) (atan2 1 (+ (* (/ (- -1 (pow N 3)) (+ (* -1 (+ (* N N) N)) -1)) N) 1)) (+ (* (/ (- -1 (pow N 3)) (+ (* -1 (+ (* N N) N)) -1)) N) 1) (/ (- -1 (pow N 3)) (+ (* -1 (+ (* N N) N)) -1)) (- -1 (pow N 3)) -1 (pow N 3) 3 (+ (* -1 (+ (* N N) N)) -1) (+ (* N N) N) (atan2 1 (/ (- (pow N 4) (pow (- N 1) 2)) (- (* N N) (- 1 N)))) (/ (- (pow N 4) (pow (- N 1) 2)) (- (* N N) (- 1 N))) (- (pow N 4) (pow (- N 1) 2)) (pow N 4) 4 (pow (- N 1) 2) (- N 1) 2 (- (* N N) (- 1 N)) (* N N))
2.0ms	N	@	0	((atan2 1 (+ (+ (* N N) 1) N)) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (atan2 1 (+ (* N N) (- 1 N))) (+ (* N N) (- 1 N)) (- 1 N) (atan2 1 (+ (* (/ (- -1 (pow N 3)) (+ (* -1 (+ (* N N) N)) -1)) N) 1)) (+ (* (/ (- -1 (pow N 3)) (+ (* -1 (+ (* N N) N)) -1)) N) 1) (/ (- -1 (pow N 3)) (+ (* -1 (+ (* N N) N)) -1)) (- -1 (pow N 3)) -1 (pow N 3) 3 (+ (* -1 (+ (* N N) N)) -1) (+ (* N N) N) (atan2 1 (/ (- (pow N 4) (pow (- N 1) 2)) (- (* N N) (- 1 N)))) (/ (- (pow N 4) (pow (- N 1) 2)) (- (* N N) (- 1 N))) (- (pow N 4) (pow (- N 1) 2)) (pow N 4) 4 (pow (- N 1) 2) (- N 1) 2 (- (* N N) (- 1 N)) (* N N))

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify247.0ms (4.7%)

Memory

-18.4MiB live, 204.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	671
1	545	646
2	1685	596
3	5932	578
0	8339	543

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

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

rewrite295.0ms (5.6%)

Memory

-15.7MiB live, 235.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	193
0	56	139
1	247	137
2	1989	136
0	10083	136

Stop Event

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

Counts

29 → 1 512

Calls

Call 1

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

Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))))) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)) (/.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 (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))))) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 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))))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))))) (/.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N)) (pow.f64 N #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64)))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 4 binary64))) (pow.f64 N #s(literal 8 binary64))) (+.f64 (fma.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 4 binary64))) (pow.f64 N #s(literal 8 binary64)))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(.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)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(.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)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))))) (/.f64 (-.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)) (/.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)) (/.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))))) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N)) (pow.f64 N #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))))) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N)) (pow.f64 N #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 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 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N)) (pow.f64 N #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))
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(.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))))) (/.f64 (fma.f64 N N (-.f64 N #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N)) (pow.f64 N #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (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)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 N N))) (neg.f64 (-.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 N N) (.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 N #s(literal 4 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 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 N #s(literal 6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 N N)) (-.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) N))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 N N) (.f64 (-.f64 (.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 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 N))) (neg.f64 (neg.f64 (neg.f64 N))) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 (neg.f64 N))) (-.f64 (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (.f64 (neg.f64 N) #s(literal 1 binary64))) (-.f64 (.f64 N N) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) (-.f64 (neg.f64 N) #s(literal 1 binary64)) N)
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (neg.f64 N) (*.f64 (neg.f64 N) #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)) N)
(fma.f64 N (fabs.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64)))
(fma.f64 N N (-.f64 N #s(literal 1 binary64)))
(fma.f64 N #s(literal 1 binary64) (-.f64 (*.f64 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 (-.f64 (*.f64 N N) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) N)) (/.f64 (.f64 N N) (-.f64 (-.f64 (.f64 N N) #s(literal 1 binary64)) N)))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(-.f64 (fma.f64 N N N) #s(literal 1 binary64))
(-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(+.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) N)
(+.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64)))
(+.f64 N (-.f64 (*.f64 N N) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 N))) (neg.f64 (neg.f64 (neg.f64 N))))
(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)))
(.f64 (neg.f64 N) (.f64 (neg.f64 N) #s(literal 1 binary64)))
(*.f64 (neg.f64 N) (neg.f64 N))
(.f64 (.f64 N N) #s(literal 1 binary64))
(.f64 N (fabs.f64 (.f64 (neg.f64 N) #s(literal 1 binary64))))
(*.f64 N N)
(.f64 #s(literal 1 binary64) (.f64 N N))
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal 2 binary64))
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 N) N))
(sqrt.f64 (pow.f64 N #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 N) N))
(fabs.f64 (*.f64 N N))
(+.f64 (cosh.f64 (.f64 (log.f64 N) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))

eval346.0ms (6.6%)

Memory: 13.4MiB live, 242.3MiB allocated
Compiler: Compiled 33 696 to 5 349 computations (84.1% saved)

prune82.0ms (1.6%)

Memory

-1.3MiB live, 86.8MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1 281	11	1 292
Fresh	9	3	12
Picked	3	2	5
Done	0	1	1
Total	1 293	17	1 310

Accuracy

99.8%

Counts

1 310 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(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)))
▶	94.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N) N))
	94.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	94.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) N)) (/.f64 (fma.f64 N N N) N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	94.8%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(approx (+ (* -1 (+ (* N N) N)) -1) (*.f64 (neg.f64 N) N))) N #s(literal 1 binary64)))
▶	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	94.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) N)) (sqrt.f64 N) #s(literal 1 binary64)))
▶	94.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N #s(approx (- 1 N) (neg.f64 N))))
	68.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow N 4) (pow (- N 1) 2)) (-.f64 (.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) N #s(literal 2 binary64)) N) #s(literal 1 binary64))) (-.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	73.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) N))
	97.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
▶	7.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
	94.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
✓	6.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 519 to 330 computations (36.4% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

series9.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

29 → 72

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

simplify169.0ms (3.2%)

Memory

-15.1MiB live, 98.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	710
1	645	684
2	2078	628
3	6812	618
0	8128	587

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

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

rewrite207.0ms (4%)

Memory

25.9MiB live, 294.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	229
0	62	201
1	253	197
2	2145	153
0	11230	153

Stop Event

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

Counts

29 → 1 369

Calls

Call 1

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

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

eval263.0ms (5%)

Memory: -37.5MiB live, 437.8MiB allocated
Compiler: Compiled 30 287 to 4 889 computations (83.9% saved)

prune87.0ms (1.7%)

Memory

14.8MiB live, 107.5MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	1 156	9	1 165
Fresh	4	5	9
Picked	2	3	5
Done	0	3	3
Total	1 162	20	1 182

Accuracy

99.8%

Counts

1 182 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(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)))
	94.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 N) N) N #s(literal -1 binary64)) (fma.f64 (/.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) N)) (/.f64 (fma.f64 N N N) N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	97.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (neg.f64 N) N) N #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 (*.f64 (+.f64 #s(literal -1 binary64) N) (/.f64 N (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	94.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (neg.f64 N) N) N #s(literal -1 binary64)) #s(approx (+ ( -1 (+ (* N N) N)) -1) (*.f64 (-.f64 #s(literal -1 binary64) N) N))) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))) (-.f64 #s(literal 1 binary64) N) N))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N) N))
	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) (/.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
	94.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(approx (/ N (+ (* (- 1 N) N) -1)) (/.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)))
	99.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 N N) N)) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	94.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) N) (/.f64 N (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64)))
	94.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) N)) (sqrt.f64 N) #s(literal 1 binary64)))
✓	94.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N #s(approx (- 1 N) (neg.f64 N))))
	68.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow N 4) (pow (- N 1) 2)) (-.f64 (.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) N #s(literal 2 binary64)) N) #s(literal 1 binary64))) (-.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	73.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) N))
	97.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
✓	7.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
	94.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (+ (* N N) 1) (- 1 N)) (- 1 N)) N) (*.f64 N N)))
✓	6.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 1 096 to 431 computations (60.7% saved)

regimes23.0ms (0.4%)

Memory

-9.5MiB live, 44.0MiB allocated

Counts

39 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
9.0ms	N

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
99.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
99.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.4%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
97.4%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

-33.2MiB live, 12.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.9%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
94.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB 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) 1) N) (-.f64 N #s(literal -1 binary64))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
7.6%	1	`N`
7.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

6.3MiB live, 6.3MiB 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
6.1%	1	`N`
6.1%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify20.0ms (0.4%)

Memory

-10.5MiB live, 33.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness825.0ms (15.7%)

Memory

36.5MiB live, 614.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	71	57
2	192	57
3	676	57
4	3357	57
0	8117	51
0	6	18
0	10	18
1	43	18
2	266	18
3	2561	18
0	9660	18
0	5	19
0	9	19
1	38	19
2	261	19
3	2707	19
0	8997	19

Stop Event

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

Compiler

Compiled 192 to 96 computations (50% saved)

preprocess103.0ms (2%)

Memory: -16.2MiB live, 75.7MiB allocated
Compiler: Compiled 164 to 70 computations (57.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze15.0ms (0.3%)

sample1.7s (31.9%)

explain120.0ms (2.3%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series1.0ms (0%)

simplify6.0ms (0.1%)

rewrite236.0ms (4.5%)

eval30.0ms (0.6%)

prune3.0ms (0.1%)

simplify0.0ms (0%)

series2.0ms (0%)

simplify124.0ms (2.4%)

rewrite171.0ms (3.3%)

eval85.0ms (1.6%)

prune58.0ms (1.1%)

simplify0.0ms (0%)

series10.0ms (0.2%)

simplify247.0ms (4.7%)

rewrite295.0ms (5.6%)

eval346.0ms (6.6%)

prune82.0ms (1.6%)

simplify0.0ms (0%)

series9.0ms (0.2%)

simplify169.0ms (3.2%)

rewrite207.0ms (4%)

eval263.0ms (5%)

prune87.0ms (1.7%)

regimes23.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

simplify20.0ms (0.4%)

soundness825.0ms (15.7%)

preprocess103.0ms (2%)

end0.0ms (0%)

Profiling