Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.3s (45.6%)

Memory

-114.6MiB live, 1 672.0MiB allocated; 1.5s collecting garbage

Samples

1.3s	7 328×	1	valid
672.0ms	701×	2	valid
16.0ms	227×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-add: 591.0ms (36.9% of total)

adjust: 369.0ms (23% of total)

ival-atan: 362.0ms (22.6% of total)

const: 131.0ms (8.2% of total)

ival-sub: 77.0ms (4.8% of total)

ival-<: 26.0ms (1.6% of total)

ival->: 24.0ms (1.5% of total)

ival-and: 12.0ms (0.7% of total)

exact: 8.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain124.0ms (2.5%)

Memory

13.7MiB live, 158.5MiB allocated; 12ms collecting garbage

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	0

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

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

65.0ms	462×	1	valid
9.0ms	34×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-atan: 22.0ms (42.2% of total)

adjust: 20.0ms (38.3% of total)

ival-add: 5.0ms (9.6% of total)

ival-sub: 5.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess44.0ms (0.9%)

Memory

-30.2MiB live, 15.8MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.6%	(-.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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

series2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

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

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

9 → 8

Calls

Call 1

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

rewrite197.0ms (3.9%)

Memory

3.4MiB live, 141.5MiB allocated; 18ms collecting garbage

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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N
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eval23.0ms (0.4%)

Memory: -11.7MiB live, 32.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 416 to 606 computations (82.3% saved)

prune2.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

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

99.6%

Counts

159 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify0.0ms (0%)

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

series2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

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)
0.0ms	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)

simplify94.0ms (1.9%)

Memory

13.6MiB live, 103.6MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

Inputs
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
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)))

rewrite151.0ms (3%)

Memory

18.3MiB live, 203.9MiB allocated; 23ms collecting garbage

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)))
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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

eval58.0ms (1.1%)

Memory: -31.0MiB live, 78.8MiB allocated; 17ms collecting garbage
Compiler: Compiled 6 439 to 1 058 computations (83.6% saved)

prune13.0ms (0.3%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	278	14	292
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	278	15	293

Accuracy

99.8%

Counts

293 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
	91.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	91.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) N)) (sqrt.f64 N) #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N)))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N)))) #s(literal 1 binary64)))
	91.8%	(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)))
▶	91.6%	(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)))
	38.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
	78.5%	(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))))
	70.7%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
▶	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	8.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	92.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
▶	6.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 454 to 273 computations (39.9% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series12.0ms (0.2%)

Memory

-32.6MiB live, 13.4MiB allocated; 4ms collecting garbage

Counts

24 → 51

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

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))))
(* N (+ 1 N))
(sqrt N)
(+ (sqrt N) (* 1/2 (sqrt (pow N 3))))
(+ (sqrt N) (* (pow N 2) (+ (* -1/8 (sqrt N)) (* 1/2 (sqrt (/ 1 N))))))
(+ (sqrt N) (* (pow N 2) (+ (* 1/2 (sqrt (/ 1 N))) (* (pow N 2) (+ (* -1/8 (sqrt (/ 1 (pow N 3)))) (* 1/16 (sqrt (/ 1 N))))))))
(* -1 N)
(* N (- (* -1 N) 1))
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2)))))))
(fabs (- 1 (pow N 3)))
(+ 1 (* -1 (pow N 3)))
(pow N 3)
(fabs (/ N (+ 1 (+ N (pow N 2)))))
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- (pow N 2) 1))))
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/8 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))) (/ 1/8 (pow N 2))))
(* -1 (pow N 2))
(* -1 (* (pow N 2) (+ 1 (/ 1 N))))
(* -1 (pow N 3))
(* (pow N 3) (- (/ 1 (pow N 3)) 1))
(/ 1 N)
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/8 (/ 1 N)) 1/2) N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/2) N)))))
(atan2 1 (+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))))
(+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))))
(fabs (+ 1 (* -1 (pow N 3))))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 3)))))
(fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	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 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ (* N N) N) (atan2 1 (+ (* (sqrt (neg (neg (+ (* N N) N)))) (sqrt (neg (neg (+ (* N N) N))))) 1)) (+ (* (sqrt (neg (neg (+ (* N N) N)))) (sqrt (neg (neg (+ (* N N) N))))) 1) (sqrt (neg (neg (+ (* N N) N)))) (neg (neg (+ (* N N) N))) (neg (+ (* N N) N)) (atan2 1 (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1)) (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1) (fabs (- 1 (pow N 3))) (- 1 (pow N 3)) (pow N 3) 3 (fabs (/ N (+ (+ (* N N) N) 1))) (/ N (+ (+ (* N N) N) 1)) (+ (+ (* N N) N) 1))
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 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ (* N N) N) (atan2 1 (+ (* (sqrt (neg (neg (+ (* N N) N)))) (sqrt (neg (neg (+ (* N N) N))))) 1)) (+ (* (sqrt (neg (neg (+ (* N N) N)))) (sqrt (neg (neg (+ (* N N) N))))) 1) (sqrt (neg (neg (+ (* N N) N)))) (neg (neg (+ (* N N) N))) (neg (+ (* N N) N)) (atan2 1 (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1)) (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1) (fabs (- 1 (pow N 3))) (- 1 (pow N 3)) (pow N 3) 3 (fabs (/ N (+ (+ (* N N) N) 1))) (/ N (+ (+ (* N N) N) 1)) (+ (+ (* N N) N) 1))
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 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ (* N N) N) (atan2 1 (+ (* (sqrt (neg (neg (+ (* N N) N)))) (sqrt (neg (neg (+ (* N N) N))))) 1)) (+ (* (sqrt (neg (neg (+ (* N N) N)))) (sqrt (neg (neg (+ (* N N) N))))) 1) (sqrt (neg (neg (+ (* N N) N)))) (neg (neg (+ (* N N) N))) (neg (+ (* N N) N)) (atan2 1 (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1)) (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1) (fabs (- 1 (pow N 3))) (- 1 (pow N 3)) (pow N 3) 3 (fabs (/ N (+ (+ (* N N) N) 1))) (/ N (+ (+ (* N N) N) 1)) (+ (+ (* N N) N) 1))

Time

Variable

Point

Expression

5.0ms

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

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

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

simplify117.0ms (2.3%)

Memory

12.2MiB live, 153.3MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	503
1	435	498
2	1362	475
3	4540	459
0	8236	430

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

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))))
(* N (+ 1 N))
(sqrt N)
(+ (sqrt N) (* 1/2 (sqrt (pow N 3))))
(+ (sqrt N) (* (pow N 2) (+ (* -1/8 (sqrt N)) (* 1/2 (sqrt (/ 1 N))))))
(+ (sqrt N) (* (pow N 2) (+ (* 1/2 (sqrt (/ 1 N))) (* (pow N 2) (+ (* -1/8 (sqrt (/ 1 (pow N 3)))) (* 1/16 (sqrt (/ 1 N))))))))
(* -1 N)
(* N (- (* -1 N) 1))
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2)))))))
(fabs (- 1 (pow N 3)))
(+ 1 (* -1 (pow N 3)))
(pow N 3)
(fabs (/ N (+ 1 (+ N (pow N 2)))))
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- (pow N 2) 1))))
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/8 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))) (/ 1/8 (pow N 2))))
(* -1 (pow N 2))
(* -1 (* (pow N 2) (+ 1 (/ 1 N))))
(* -1 (pow N 3))
(* (pow N 3) (- (/ 1 (pow N 3)) 1))
(/ 1 N)
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/8 (/ 1 N)) 1/2) N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/2) N)))))
(atan2 1 (+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))))
(+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))))
(fabs (+ 1 (* -1 (pow N 3))))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 3)))))
(fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))

Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(+ 1 (pow N 2))
(fma.f64 N N #s(literal 1 binary64))
N
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(* N (+ 1 N))
(fma.f64 N N N)
(sqrt N)
(sqrt.f64 N)
(+ (sqrt N) (* 1/2 (sqrt (pow N 3))))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 N))
(+ (sqrt N) (* (pow N 2) (+ (* -1/8 (sqrt N)) (* 1/2 (sqrt (/ 1 N))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 N))) (.f64 N N) (sqrt.f64 N))
(+ (sqrt N) (* (pow N 2) (+ (* 1/2 (sqrt (/ 1 N))) (* (pow N 2) (+ (* -1/8 (sqrt (/ 1 (pow N 3)))) (* 1/16 (sqrt (/ 1 N))))))))
(fma.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (.f64 N N)) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (fma.f64 #s(literal 1/16 binary64) (*.f64 N N) #s(literal 1/2 binary64)))) N) N (sqrt.f64 N))
(* -1 N)
(neg.f64 N)
(* N (- (* -1 N) 1))
(*.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64)) N)
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 N (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2)))))))
(fma.f64 (fabs.f64 (/.f64 N (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64))
(fabs (- 1 (pow N 3)))
(fabs.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))
(+ 1 (* -1 (pow N 3)))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(fabs (/ N (+ 1 (+ N (pow N 2)))))
(fabs.f64 (/.f64 N (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(* N (+ 1 (* -1 N)))
(*.f64 (-.f64 #s(literal 1 binary64) N) N)
(* N (+ 1 (* N (- (pow N 2) 1))))
(*.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N #s(literal -1 binary64))) N #s(literal 1 binary64)) N)
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* N (+ 1 (* 1/2 (/ 1 N))))
(-.f64 N #s(literal -1/2 binary64))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/8 (pow N 2))))
(-.f64 N (-.f64 (/.f64 #s(literal 1/8 binary64) N) #s(literal 1/2 binary64)))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))) (/ 1/8 (pow N 2))))
(-.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) N) #s(literal 1/8 binary64)) (neg.f64 N)) #s(literal 1/2 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)
(* -1 (pow N 3))
(pow.f64 (neg.f64 N) #s(literal 3 binary64))
(* (pow N 3) (- (/ 1 (pow N 3)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (/ 1 N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) N)
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) (*.f64 N N))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) N)) N)
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(-.f64 #s(literal -1/2 binary64) N)
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/8 (/ 1 N)) 1/2) N)))))
(-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) N) #s(literal 1/2 binary64)) N)
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/2) N)))))
(-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) N) #s(literal 1/8 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) N)
(atan2 1 (+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 N (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))))
(fma.f64 (fabs.f64 (/.f64 N (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64))
(fabs (+ 1 (* -1 (pow N 3))))
(fabs.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 3)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))
(fabs.f64 (/.f64 N (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(* -1 (/ (- (/ 1 N) 1) N))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) (*.f64 N N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) N)) N)

rewrite201.0ms (4%)

Memory

-3.2MiB live, 179.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	196
0	49	143
1	207	143
2	1382	143
0	9683	142

Stop Event

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

Counts

24 → 1 712

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

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

eval337.0ms (6.6%)

Memory: 15.0MiB live, 350.0MiB allocated; 86ms collecting garbage
Compiler: Compiled 47 291 to 6 970 computations (85.3% saved)

prune41.0ms (0.8%)

Memory

16.5MiB live, 108.7MiB allocated; 6ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1 828	11	1 839
Fresh	8	1	9
Picked	2	3	5
Done	0	1	1
Total	1 838	16	1 854

Accuracy

99.8%

Counts

1 854 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N)))) #s(literal 1 binary64)))
	91.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) N)) (sqrt.f64 N) #s(literal 1 binary64)))
	92.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N)))) (sqrt.f64 (neg.f64 #s(approx (neg (+ (* N N) N)) (*.f64 (neg.f64 N) N)))) #s(literal 1 binary64)))
	91.2%	(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 (*.f64 (sqrt.f64 N) (sqrt.f64 N)) N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
	91.9%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	78.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) N))
▶	8.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N)))
	92.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
	95.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 N)) N N)))
✓	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
▶	74.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
▶	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
✓	6.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 471 to 299 computations (36.5% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series6.0ms (0.1%)

Memory

9.6MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

27 → 55

Calls

Call 1

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

Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(sqrt N)
(+ (sqrt N) (* 1/2 (sqrt (pow N 3))))
(+ (sqrt N) (* (pow N 2) (+ (* -1/8 (sqrt N)) (* 1/2 (sqrt (/ 1 N))))))
(+ (sqrt N) (* (pow N 2) (+ (* 1/2 (sqrt (/ 1 N))) (* (pow N 2) (+ (* -1/8 (sqrt (/ 1 (pow N 3)))) (* 1/16 (sqrt (/ 1 N))))))))
N
(* N (+ 1 N))
(* -1 N)
(* N (- (* -1 N) 1))
(atan2 1 (+ 1 (* N (+ 1 N))))
(pow N 2)
(atan2 1 (+ 1 (* (fabs (/ N (+ 1 (+ N (pow N 2))))) (+ 1 (pow N 3)))))
(+ 1 (fabs (/ N (+ 1 (+ N (pow N 2))))))
(+ 1 (+ (fabs (/ N (+ 1 (+ N (pow N 2))))) (* (pow N 3) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(+ 1 (pow N 3))
(fabs (/ N (+ 1 (+ N (pow N 2)))))
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- (pow N 2) 1))))
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(* (pow N 2) (+ 1 (* 2 N)))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/8 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))) (/ 1/8 (pow N 2))))
(* -1 (pow N 2))
(* -1 (* (pow N 2) (+ 1 (/ 1 N))))
(* N (+ 1 (/ 1 N)))
(* (pow N 3) (fabs (/ N (+ 1 (+ N (pow N 2))))))
(* (pow N 3) (+ (fabs (/ N (+ 1 (+ N (pow N 2))))) (+ (/ 1 (pow N 3)) (/ (fabs (/ N (+ 1 (+ N (pow N 2))))) (pow N 3)))))
(pow N 3)
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(/ 1 N)
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/8 (/ 1 N)) 1/2) N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/2) N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))) (- 1 (* -1 (pow N 3))))))
(* (pow N 3) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))
(* -1 (* (pow N 3) (+ (* -1 (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))) (* -1 (/ (+ 1 (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))) (pow N 3))))))
(fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((atan2 1 (+ (* (sqrt (+ (* N N) N)) (sqrt (neg (neg (+ (* N N) N))))) 1)) 1 (+ (* (sqrt (+ (* N N) N)) (sqrt (neg (neg (+ (* N N) N))))) 1) (sqrt (+ (* N N) N)) (+ (* N N) N) N (sqrt (neg (neg (+ (* N N) N)))) (neg (neg (+ (* N N) N))) (neg (+ (* N N) N)) (atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ 1 N) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ (* N N) N) (* N N) (atan2 1 (+ (* (+ (* (* N N) N) 1) (fabs (/ N (+ (+ (* N N) N) 1)))) 1)) (+ (* (+ (* (* N N) N) 1) (fabs (/ N (+ (+ (* N N) N) 1)))) 1) (+ (* (* N N) N) 1) (fabs (/ N (+ (+ (* N N) N) 1))) (/ N (+ (+ (* N N) N) 1)) (+ (+ (* N N) N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (/ (pow (+ (* N N) N) 2) (+ (* N N) N)) (pow (+ (* N N) N) 2) 2)

2.0ms

inf

((atan2 1 (+ (* (sqrt (+ (* N N) N)) (sqrt (neg (neg (+ (* N N) N))))) 1)) 1 (+ (* (sqrt (+ (* N N) N)) (sqrt (neg (neg (+ (* N N) N))))) 1) (sqrt (+ (* N N) N)) (+ (* N N) N) N (sqrt (neg (neg (+ (* N N) N)))) (neg (neg (+ (* N N) N))) (neg (+ (* N N) N)) (atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ 1 N) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ (* N N) N) (* N N) (atan2 1 (+ (* (+ (* (* N N) N) 1) (fabs (/ N (+ (+ (* N N) N) 1)))) 1)) (+ (* (+ (* (* N N) N) 1) (fabs (/ N (+ (+ (* N N) N) 1)))) 1) (+ (* (* N N) N) 1) (fabs (/ N (+ (+ (* N N) N) 1))) (/ N (+ (+ (* N N) N) 1)) (+ (+ (* N N) N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (/ (pow (+ (* N N) N) 2) (+ (* N N) N)) (pow (+ (* N N) N) 2) 2)

1.0ms

((atan2 1 (+ (* (sqrt (+ (* N N) N)) (sqrt (neg (neg (+ (* N N) N))))) 1)) 1 (+ (* (sqrt (+ (* N N) N)) (sqrt (neg (neg (+ (* N N) N))))) 1) (sqrt (+ (* N N) N)) (+ (* N N) N) N (sqrt (neg (neg (+ (* N N) N)))) (neg (neg (+ (* N N) N))) (neg (+ (* N N) N)) (atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ 1 N) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ (* N N) N) (* N N) (atan2 1 (+ (* (+ (* (* N N) N) 1) (fabs (/ N (+ (+ (* N N) N) 1)))) 1)) (+ (* (+ (* (* N N) N) 1) (fabs (/ N (+ (+ (* N N) N) 1)))) 1) (+ (* (* N N) N) 1) (fabs (/ N (+ (+ (* N N) N) 1))) (/ N (+ (+ (* N N) N) 1)) (+ (+ (* N N) N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (/ (pow (+ (* N N) N) 2) (+ (* N N) N)) (pow (+ (* N N) N) 2) 2)

simplify141.0ms (2.8%)

Memory

-0.7MiB live, 142.9MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	562
1	548	546
2	1929	517
3	6473	513
0	8454	477

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 54

Calls

Call 1

Inputs
(atan2 1 (+ 1 (+ N (pow N 2))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(sqrt N)
(+ (sqrt N) (* 1/2 (sqrt (pow N 3))))
(+ (sqrt N) (* (pow N 2) (+ (* -1/8 (sqrt N)) (* 1/2 (sqrt (/ 1 N))))))
(+ (sqrt N) (* (pow N 2) (+ (* 1/2 (sqrt (/ 1 N))) (* (pow N 2) (+ (* -1/8 (sqrt (/ 1 (pow N 3)))) (* 1/16 (sqrt (/ 1 N))))))))
N
(* N (+ 1 N))
(* -1 N)
(* N (- (* -1 N) 1))
(atan2 1 (+ 1 (* N (+ 1 N))))
(pow N 2)
(atan2 1 (+ 1 (* (fabs (/ N (+ 1 (+ N (pow N 2))))) (+ 1 (pow N 3)))))
(+ 1 (fabs (/ N (+ 1 (+ N (pow N 2))))))
(+ 1 (+ (fabs (/ N (+ 1 (+ N (pow N 2))))) (* (pow N 3) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(+ 1 (pow N 3))
(fabs (/ N (+ 1 (+ N (pow N 2)))))
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- (pow N 2) 1))))
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(* (pow N 2) (+ 1 (* 2 N)))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/8 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))) (/ 1/8 (pow N 2))))
(* -1 (pow N 2))
(* -1 (* (pow N 2) (+ 1 (/ 1 N))))
(* N (+ 1 (/ 1 N)))
(* (pow N 3) (fabs (/ N (+ 1 (+ N (pow N 2))))))
(* (pow N 3) (+ (fabs (/ N (+ 1 (+ N (pow N 2))))) (+ (/ 1 (pow N 3)) (/ (fabs (/ N (+ 1 (+ N (pow N 2))))) (pow N 3)))))
(pow N 3)
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(/ 1 N)
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/8 (/ 1 N)) 1/2) N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/2) N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))) (- 1 (* -1 (pow N 3))))))
(* (pow N 3) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))
(* -1 (* (pow N 3) (+ (* -1 (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))) (* -1 (/ (+ 1 (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))) (pow N 3))))))
(fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))

Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 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))
(sqrt N)
(sqrt.f64 N)
(+ (sqrt N) (* 1/2 (sqrt (pow N 3))))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 N))
(+ (sqrt N) (* (pow N 2) (+ (* -1/8 (sqrt N)) (* 1/2 (sqrt (/ 1 N))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 N))) (.f64 N N) (sqrt.f64 N))
(+ (sqrt N) (* (pow N 2) (+ (* 1/2 (sqrt (/ 1 N))) (* (pow N 2) (+ (* -1/8 (sqrt (/ 1 (pow N 3)))) (* 1/16 (sqrt (/ 1 N))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 N N)) (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (fma.f64 #s(literal 1/16 binary64) (.f64 N N) #s(literal 1/2 binary64)))) (*.f64 N N) (sqrt.f64 N))
N
(* N (+ 1 N))
(fma.f64 N N N)
(* -1 N)
(neg.f64 N)
(* N (- (* -1 N) 1))
(*.f64 (-.f64 (neg.f64 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)))
(pow N 2)
(*.f64 N N)
(atan2 1 (+ 1 (* (fabs (/ N (+ 1 (+ N (pow N 2))))) (+ 1 (pow N 3)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+ 1 (fabs (/ N (+ 1 (+ N (pow N 2))))))
(+.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (fabs (/ N (+ 1 (+ N (pow N 2))))) (* (pow N 3) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) #s(literal 1 binary64))
(+ 1 (pow N 3))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(fabs (/ N (+ 1 (+ N (pow N 2)))))
(fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(* N (+ 1 (* -1 N)))
(*.f64 (-.f64 #s(literal 1 binary64) N) N)
(* N (+ 1 (* N (- (pow N 2) 1))))
(*.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N #s(literal -1 binary64))) N #s(literal 1 binary64)) N)
(* (pow N 2) (+ 1 (* 2 N)))
(fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 N N))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) N) N)
(* (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 (* 1/2 (/ 1 N))))
(-.f64 N #s(literal -1/2 binary64))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/8 (pow N 2))))
(-.f64 N (+.f64 (/.f64 #s(literal 1/8 binary64) N) #s(literal -1/2 binary64)))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))) (/ 1/8 (pow N 2))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) N) #s(literal 1/8 binary64)) N)) N)
(* -1 (pow N 2))
(*.f64 (neg.f64 N) N)
(* -1 (* (pow N 2) (+ 1 (/ 1 N))))
(neg.f64 (fma.f64 N N N))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* (pow N 3) (fabs (/ N (+ 1 (+ N (pow N 2))))))
(*.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (pow.f64 N #s(literal 3 binary64)))
(* (pow N 3) (+ (fabs (/ N (+ 1 (+ N (pow N 2))))) (+ (/ 1 (pow N 3)) (/ (fabs (/ N (+ 1 (+ N (pow N 2))))) (pow N 3)))))
(fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (/ 1 N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) N)
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) (*.f64 N N))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) N) (*.f64 N N)) #s(literal 1 binary64)) N)
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(*.f64 (+.f64 #s(literal 2 binary64) N) (pow.f64 N #s(literal 3 binary64)))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) N) N)
(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 (* 1/2 (/ 1 N)))))
(-.f64 #s(literal -1/2 binary64) N)
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/8 (/ 1 N)) 1/2) N)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) N) #s(literal -1/2 binary64)) N)
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/2) N)))))
(-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) N) (-.f64 (/.f64 #s(literal 1/16 binary64) N) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) N)
(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 (* (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))) (- 1 (* -1 (pow N 3))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) #s(literal 1 binary64)))
(* (pow N 3) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))
(*.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (pow.f64 N #s(literal 3 binary64)))
(* -1 (* (pow N 3) (+ (* -1 (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))) (* -1 (/ (+ 1 (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))) (pow N 3))))))
(fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) #s(literal 1 binary64))
(fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))
(fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(* -1 (/ (- (/ 1 N) 1) N))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)) (neg.f64 N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)) #s(literal 1 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))

rewrite211.0ms (4.2%)

Memory

3.3MiB live, 328.7MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	242
0	57	199
1	203	190
2	1360	188
0	9037	186

Stop Event

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

Counts

27 → 2 394

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N)))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N)))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 N N N))
(fma.f64 N N N)
N
(sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N))))
(neg.f64 (neg.f64 (fma.f64 N N N)))
(neg.f64 (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N)))
#s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
#s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N))
(+.f64 (*.f64 N N) N)
(*.f64 N N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) N #s(literal 1 binary64))
(fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
#s(approx (+ (* (+ 1 N) N) 1) (/.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 2 binary64)) (fma.f64 N N N))
(pow.f64 (fma.f64 N N N) #s(literal 2 binary64))
#s(literal 2 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)
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 N) N) #s(literal 1 binary64))) (+.f64 (hypot.f64 (sqrt.f64 N) N) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(/.f64 (-.f64 (.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 (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 (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.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 (fma.f64 N N N) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 N N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 N N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 (.f64 N N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 (*.f64 N N) (fma.f64 (-.f64 #s(literal 1 binary64) 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 3 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))) (fma.f64 (pow.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 -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) (pow.f64 (.f64 (neg.f64 (hypot.f64 (sqrt.f64 N) N)) (hypot.f64 (sqrt.f64 N) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (hypot.f64 (sqrt.f64 N) N)) (hypot.f64 (sqrt.f64 N) N)) (.f64 (neg.f64 (hypot.f64 (sqrt.f64 N) N)) (hypot.f64 (sqrt.f64 N) N)) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 N) N)) (hypot.f64 (sqrt.f64 N) N))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.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))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal 3 binary64))) (fma.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 (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 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -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 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (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 #s(literal 1 binary64) N) #s(literal 2 binary64)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))))
(/.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 (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 (neg.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (*.f64 N N))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal 2 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))) (*.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 N #s(literal 3 binary64)))) (.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal 1 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.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 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
(/.f64 (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 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N 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 (-.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 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64)) (*.f64 N N))
(fma.f64 (/.f64 (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) N)) (neg.f64 (hypot.f64 (sqrt.f64 N) N))) (/.f64 N (neg.f64 (hypot.f64 (sqrt.f64 N) N))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) N)) (hypot.f64 (sqrt.f64 N) N)) (/.f64 N (hypot.f64 (sqrt.f64 N) N)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) N)) (fma.f64 N N N)) (/.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 N N N) N) (neg.f64 (hypot.f64 (sqrt.f64 N) N))) (/.f64 (-.f64 #s(literal 1 binary64) N) (neg.f64 (hypot.f64 (sqrt.f64 N) N))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 N N N) N) (hypot.f64 (sqrt.f64 N) N)) (/.f64 (-.f64 #s(literal 1 binary64) N) (hypot.f64 (sqrt.f64 N) N)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 N N N) N) (fma.f64 N N N)) (/.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (neg.f64 (hypot.f64 (sqrt.f64 N) N))) (/.f64 (*.f64 N N) (neg.f64 (hypot.f64 (sqrt.f64 N) N))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 N N) (neg.f64 (hypot.f64 (sqrt.f64 N) N))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (neg.f64 (hypot.f64 (sqrt.f64 N) N))) #s(literal 1 binary64))
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(hypot.f64 (*.f64 N N) N)
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N
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(fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)) (*.f64 N N))
(sqrt.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 N #s(literal 8 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal 12 binary64)) (+.f64 (pow.f64 N #s(literal 8 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 6 binary64))))) (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (pow.f64 N #s(literal 8 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 6 binary64))))))
(-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N))
(fabs.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 N N) (fma.f64 N N N)) (*.f64 N (fma.f64 N N N)))
(+.f64 (.f64 N (fma.f64 N N N)) (.f64 (*.f64 N N) (fma.f64 N N N)))
(+.f64 (.f64 (fma.f64 N N N) (.f64 N N)) (*.f64 (fma.f64 N N N) N))
(+.f64 (.f64 (fma.f64 N N N) N) (.f64 (fma.f64 N N N) (*.f64 N N)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))))
(+.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (neg.f64 N) N))
(+.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
#s(literal 2 binary64)

eval383.0ms (7.5%)

Memory: -14.8MiB live, 549.2MiB allocated; 69ms collecting garbage
Compiler: Compiled 70 026 to 10 204 computations (85.4% saved)

prune53.0ms (1.1%)

Memory

6.1MiB live, 147.6MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	2 486	9	2 495
Fresh	5	2	7
Picked	1	4	5
Done	0	4	4
Total	2 492	19	2 511

Accuracy

99.8%

Counts

2 511 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) (.f64 (sqrt.f64 N) (sqrt.f64 N)) #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
	91.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 (.f64 (sqrt.f64 N) (sqrt.f64 N)) N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
✓	91.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
	91.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
	91.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (.f64 (/.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) N)) (/.f64 (fma.f64 N N N) N)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
	92.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fabs.f64 #s(approx (/ N (+ (+ ( N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N)))) #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
✓	8.0%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N)))
	92.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
	95.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 N)) N N)))
✓	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	74.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N))))
	70.7%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 #s(approx (pow (+ (* N N) N) 2) (pow.f64 N #s(literal 4 binary64))) (fma.f64 N N N))))
	74.7%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 #s(approx (pow (+ (* N N) N) 2) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) N) N)) (fma.f64 N N N))))
✓	95.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
	74.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (sqrt.f64 (pow.f64 N #s(literal 4 binary64))) N)))
✓	6.4%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 1 024 to 385 computations (62.4% saved)

regimes17.0ms (0.3%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	N
6.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

-41.2MiB live, 10.1MiB allocated; 3ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
3.0ms	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)

regimes5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.1%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
92.1%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
8.0%	1	`N`
8.0%	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

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify17.0ms (0.3%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations392.0ms (7.7%)

Memory

-4.8MiB live, 132.5MiB allocated; 12ms collecting garbage

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 67 to 24 computations (64.2% saved)

preprocess94.0ms (1.9%)

Memory: -17.4MiB live, 45.5MiB allocated; 17ms collecting garbage
Compiler: Compiled 164 to 70 computations (57.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample2.3s (45.6%)

explain124.0ms (2.5%)

preprocess44.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series2.0ms (0%)

simplify6.0ms (0.1%)

rewrite197.0ms (3.9%)

eval23.0ms (0.4%)

prune2.0ms (0%)

simplify0.0ms (0%)

series2.0ms (0%)

simplify94.0ms (1.9%)

rewrite151.0ms (3%)

eval58.0ms (1.1%)

prune13.0ms (0.3%)

simplify0.0ms (0%)

series12.0ms (0.2%)

simplify117.0ms (2.3%)

rewrite201.0ms (4%)

eval337.0ms (6.6%)

prune41.0ms (0.8%)

simplify0.0ms (0%)

series6.0ms (0.1%)

simplify141.0ms (2.8%)

rewrite211.0ms (4.2%)

eval383.0ms (7.5%)

prune53.0ms (1.1%)

regimes17.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

simplify17.0ms (0.3%)

derivations392.0ms (7.7%)

preprocess94.0ms (1.9%)

end0.0ms (0%)

Profiling