Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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 (43.4%)

Memory

7.7MiB live, 1 617.7MiB allocated; 1.5s collecting garbage

Samples

1.8s	7 363×	1	valid
156.0ms	688×	2	valid
14.0ms	205×	0	valid

Precisions

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

adjust: 385.0ms (35% of total)

ival-atan: 351.0ms (31.9% of total)

const: 120.0ms (10.9% of total)

ival-add: 96.0ms (8.7% of total)

ival-sub: 77.0ms (7% of total)

ival->: 31.0ms (2.8% of total)

ival-<: 18.0ms (1.6% of total)

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

exact: 7.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain155.0ms (2.9%)

Memory

16.8MiB live, 153.7MiB allocated; 28ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
252	-	-	`(-.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	252	0

Confusion

	Predicted +	Predicted -
+	252	0
-	0	4

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	252	0	0
-	0	0	4

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	432×	1	valid
12.0ms	62×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

adjust: 21.0ms (41% of total)

ival-atan: 20.0ms (39.1% of total)

ival-add: 5.0ms (9.8% of total)

ival-sub: 5.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess23.0ms (0.4%)

Memory

-36.3MiB live, 17.7MiB allocated; 14ms 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, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.4%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
0	13	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (0.9%)

Memory

5.2MiB live, 50.0MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0.0	(atan.f64 N)
accuracy	57.98714053540413	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

35.0ms	216×	1	valid
6.0ms	31×	2	valid
0.0ms	9×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

adjust: 11.0ms (33.7% of total)

ival-add: 9.0ms (27.6% of total)

ival-atan: 9.0ms (27.6% of total)

ival-sub: 2.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Counts

4 → 9

Calls

Call 1

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

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

Calls

3 calls:

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

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

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

rewrite194.0ms (3.7%)

Memory

0.2MiB live, 184.8MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 118

Calls

Call 1

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

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

eval16.0ms (0.3%)

Memory: 25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 055 to 504 computations (83.5% saved)

prune10.0ms (0.2%)

Memory

-33.8MiB live, 10.0MiB allocated; 12ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	122	2	124

Accuracy

99.7%

Counts

124 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
✓	9.4%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify17.0ms (0.3%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))

New

Metric

Score

Program

cost-diff

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

cost-diff

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

cost-diff

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	19
0	9	19
1	14	19
2	27	19
3	70	19
4	172	19
5	275	19
6	415	19
7	512	19
8	603	19
9	678	19
10	687	19
0	687	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

-11.3MiB live, 33.0MiB allocated; 10ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.00390625	(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy	0.2109375	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))

New

Metric

Score

Program

accuracy

0.0

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

accuracy

0.00390625

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

accuracy

0.2109375

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

Samples

18.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 3.0ms (39.6% of total)

ival-mult: 3.0ms (39.6% of total)

ival-atan2: 2.0ms (26.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

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

Counts

3 → 11

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

simplify137.0ms (2.6%)

Memory

-31.2MiB live, 128.4MiB allocated; 20ms 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)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))

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

rewrite153.0ms (2.9%)

Memory

27.9MiB live, 124.8MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	9	17
1	38	17
2	261	17
3	2707	17
0	8997	17

Stop Event

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

Counts

3 → 248

Calls

Call 1

Inputs

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

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

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

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

eval55.0ms (1%)

Memory: -7.4MiB live, 38.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 027 to 955 computations (84.2% saved)

prune14.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	239	16	255
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	240	17	257

Accuracy

99.8%

Counts

257 → 17

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)))
	73.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (/.f64 (fma.f64 N N N) (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))))
	92.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)))
	99.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
▶	92.4%	(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)))
▶	99.6%	(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)))
▶	99.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N #s(literal 1 binary64))))
	92.7%	(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)))
	92.3%	(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)))
	74.8%	(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))))
▶	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	96.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
	7.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	92.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
▶	6.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 540 to 299 computations (44.6% saved)

simplify144.0ms (2.7%)

Memory

-32.7MiB live, 150.7MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	181
0	49	149
1	84	149
2	209	146
3	633	140
4	1868	140
5	5942	140
0	8577	137

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (1.8%)

Memory

36.4MiB live, 126.0MiB allocated; 8ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(sqrt.f64 (*.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) N))
accuracy	0.19140625	(*.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) N)
accuracy	0.203125	(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)))
accuracy	0.359375	(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))
accuracy	0.0	(neg.f64 (neg.f64 (fma.f64 N N N)))
accuracy	0.015625	(sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N))))
accuracy	0.049160009768442016	(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))
accuracy	0.2109375	(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)))
accuracy	0.0	(fma.f64 N N #s(literal 1 binary64))
accuracy	0.03125	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
accuracy	0.2109375	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
accuracy	0.2109375	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy	59.98267803977065	#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 N N #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 N)
accuracy	0.03125	(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N #s(literal 1 binary64)))
accuracy	0.2109375	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N #s(literal 1 binary64))))

Samples

80.0ms

256×

valid

Compiler

Compiled 199 to 31 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-sqrt: 34.0ms (50.7% of total)

ival-mult: 11.0ms (16.4% of total)

ival-add: 9.0ms (13.4% of total)

ival-atan2: 7.0ms (10.4% of total)

ival-pow2: 2.0ms (3% of total)

ival-neg: 2.0ms (3% of total)

ival-sub: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

-47.0MiB live, 13.2MiB allocated; 7ms collecting garbage

Counts

16 → 52

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

-inf

((+ (* (sqrt N) (sqrt N)) (+ (* N N) 1)) (atan2 1 (+ (* (sqrt N) (sqrt N)) (+ (* N N) 1))) (sqrt N) (+ (* N N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ (* (sqrt (neg (neg (+ (* N N) N)))) (sqrt (neg (neg (+ (* N N) N))))) 1) (neg (neg (+ (* N N) N))) (sqrt (neg (neg (+ (* N N) N)))) (atan2 1 (+ (* (sqrt (neg (neg (+ (* N N) N)))) (sqrt (neg (neg (+ (* N N) N))))) 1)) (+ (* (sqrt (* (pow (- N 1) 2) N)) (sqrt N)) 1) (sqrt (* (pow (- N 1) 2) N)) (atan2 1 (+ (* (sqrt (* (pow (- N 1) 2) N)) (sqrt N)) 1)) (* (pow (- N 1) 2) N))

2.0ms

inf

((+ (* (sqrt N) (sqrt N)) (+ (* N N) 1)) (atan2 1 (+ (* (sqrt N) (sqrt N)) (+ (* N N) 1))) (sqrt N) (+ (* N N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ (* (sqrt (neg (neg (+ (* N N) N)))) (sqrt (neg (neg (+ (* N N) N))))) 1) (neg (neg (+ (* N N) N))) (sqrt (neg (neg (+ (* N N) N)))) (atan2 1 (+ (* (sqrt (neg (neg (+ (* N N) N)))) (sqrt (neg (neg (+ (* N N) N))))) 1)) (+ (* (sqrt (* (pow (- N 1) 2) N)) (sqrt N)) 1) (sqrt (* (pow (- N 1) 2) N)) (atan2 1 (+ (* (sqrt (* (pow (- N 1) 2) N)) (sqrt N)) 1)) (* (pow (- N 1) 2) N))

2.0ms

((+ (* (sqrt N) (sqrt N)) (+ (* N N) 1)) (atan2 1 (+ (* (sqrt N) (sqrt N)) (+ (* N N) 1))) (sqrt N) (+ (* N N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ (* (sqrt (neg (neg (+ (* N N) N)))) (sqrt (neg (neg (+ (* N N) N))))) 1) (neg (neg (+ (* N N) N))) (sqrt (neg (neg (+ (* N N) N)))) (atan2 1 (+ (* (sqrt (neg (neg (+ (* N N) N)))) (sqrt (neg (neg (+ (* N N) N))))) 1)) (+ (* (sqrt (* (pow (- N 1) 2) N)) (sqrt N)) 1) (sqrt (* (pow (- N 1) 2) N)) (atan2 1 (+ (* (sqrt (* (pow (- N 1) 2) N)) (sqrt N)) 1)) (* (pow (- N 1) 2) N))

simplify120.0ms (2.3%)

Memory

27.5MiB live, 118.8MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	490
1	491	446
2	1772	415
0	5133	386

Stop Event

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

Counts

52 → 51

Calls

Call 1

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

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

rewrite179.0ms (3.4%)

Memory

17.3MiB live, 119.8MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	148
0	49	104
1	192	102
2	1377	100
0	9473	99

Stop Event

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

Counts

16 → 1 021

Calls

Call 1

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

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

eval151.0ms (2.8%)

Memory: -14.5MiB live, 121.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 21 721 to 3 150 computations (85.5% saved)

prune33.0ms (0.6%)

Memory

-3.7MiB live, 49.4MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	937	7	944
Fresh	3	8	11
Picked	2	3	5
Done	0	1	1
Total	942	19	961

Accuracy

99.8%

Counts

961 → 19

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)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	99.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	92.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N)) (sqrt.f64 N) #s(literal 1 binary64)))
▶	92.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))) (sqrt.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N)))) (sqrt.f64 N) #s(literal 1 binary64)))
	92.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 N N) N N)) (sqrt.f64 N) #s(literal 1 binary64)))
▶	99.6%	(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)))
	92.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 (fma.f64 N N N) (sqrt.f64 N))) (sqrt.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))) #s(literal 1 binary64)))
	93.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 N N N) (sqrt.f64 N))) (sqrt.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N)))) #s(literal 1 binary64)))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N #s(literal 1 binary64))))
	92.7%	(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)))
	92.3%	(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)))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	74.6%	(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))
	96.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
▶	7.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
	92.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
✓	6.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 544 to 320 computations (41.2% saved)

simplify153.0ms (2.9%)

Memory

-7.1MiB live, 84.4MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))) (sqrt.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N)))) (sqrt.f64 N) #s(literal 1 binary64)))
cost-diff	4	(fma.f64 (.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))) (sqrt.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N)))) (sqrt.f64 N) #s(literal 1 binary64))
cost-diff	9	(.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))) (sqrt.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))))
cost-diff	1	(sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N))))
cost-diff	1	(sqrt.f64 (fma.f64 N N N))
cost-diff	2	(neg.f64 (neg.f64 (fma.f64 N N N)))
cost-diff	4	(fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N)))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 N)
cost-diff	0	(fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
cost-diff	3	(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
cost-diff	0	(-.f64 N #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
cost-diff	0	(*.f64 N N)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 N N))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
cost-diff	1	(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	238
0	62	180
1	106	174
2	253	174
3	735	174
4	1810	172
5	3434	172
6	6199	172
0	8032	168

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (2%)

Memory

18.6MiB live, 64.6MiB allocated; 3ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.203125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))) (sqrt.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N)))) (sqrt.f64 N) #s(literal 1 binary64)))
accuracy	0.28125	(*.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))
accuracy	0.35546875	(fma.f64 (.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))) (sqrt.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N)))) (sqrt.f64 N) #s(literal 1 binary64))
accuracy	0.5700187988422102	(.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))) (sqrt.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))))
accuracy	0.015625	(sqrt.f64 (fma.f64 N N N))
accuracy	0.015625	(sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N))))
accuracy	0.045253759768442016	(fma.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 N N N)))) #s(literal 1 binary64))
accuracy	0.20703125	(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)))
accuracy	0.0	(fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 N)
accuracy	0.20703125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
accuracy	0.48828125	(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
accuracy	0.0	(-.f64 N #s(literal -1 binary64))
accuracy	0.20703125	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
accuracy	58.75567361708573	#s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))
accuracy	0.0	(*.f64 N N)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (*.f64 N N))
accuracy	0.05078125	(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
accuracy	0.20703125	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))

Samples

84.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 252 to 38 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-sqrt: 32.0ms (45.8% of total)

ival-mult: 13.0ms (18.6% of total)

ival-add: 9.0ms (12.9% of total)

ival-atan2: 7.0ms (10% of total)

ival-sub: 5.0ms (7.1% of total)

ival-div: 2.0ms (2.9% of total)

ival-neg: 2.0ms (2.9% of total)

adjust: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

21 → 67

Calls

Call 1

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

Outputs
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (- 1 N))))
(+ 1 (* -1 (pow N 2)))
(pow N 2)
(atan2 1 (+ 1 (* N (+ 1 N))))
(sqrt N)
N
(* N (+ 1 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 (sqrt N))
(+ (sqrt (pow N 3)) (* -1 (sqrt N)))
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(atan2 1 (+ 1 (* N (- N 1))))
(* (pow (* 1 N) 1/4) (sqrt -1))
(+ (* 1/2 (* (pow (* 1 (pow N 5)) 1/4) (/ 1 (sqrt -1)))) (* (pow (* 1 N) 1/4) (sqrt -1)))
(+ (* N (+ (* -1/8 (* (pow (* 1 (pow N 5)) 1/4) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (pow (* 1 N) 1/4) (/ 1 (sqrt -1)))))) (* (pow (* 1 N) 1/4) (sqrt -1)))
(+ (* N (+ (* 1/2 (* (pow (* 1 N) 1/4) (/ 1 (sqrt -1)))) (* N (+ (* -1/8 (* (pow (* 1 N) 1/4) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (pow (* 1 (pow N 5)) 1/4) (/ 1 (pow (sqrt -1) 5)))))))) (* (pow (* 1 N) 1/4) (sqrt -1)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (- (+ 1 (/ N (- 1 N))) (/ (pow N 3) (- 1 N))))
(* -1 (pow N 2))
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(* N (+ 1 (/ 1 N)))
(* 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))))
(sqrt (pow N 3))
(* (pow N 2) (+ (sqrt (/ 1 N)) (* -1 (sqrt (/ 1 (pow N 3))))))
(* (pow N 2) (- 1 (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(atan2 1 (- (+ 1 (pow N 2)) N))
(pow (* 1 (pow N 3)) 1/4)
(* N (+ (* -1/2 (pow (/ 1 (pow N 5)) 1/4)) (pow (/ 1 N) 1/4)))
(* N (+ (* -1/2 (pow (/ 1 (pow N 5)) 1/4)) (+ (* -1/8 (pow (/ 1 (pow N 9)) 1/4)) (pow (/ 1 N) 1/4))))
(* N (+ (* -1/2 (pow (/ 1 (pow N 5)) 1/4)) (+ (* -1/8 (pow (/ 1 (pow N 9)) 1/4)) (+ (* -1/16 (pow (/ 1 (pow N 13)) 1/4)) (pow (/ 1 N) 1/4)))))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (+ 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(* -1 (* N (pow (sqrt -1) 2)))
(* -1 (* N (- (pow (sqrt -1) 2) (/ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 (* -1 (* N (pow (sqrt -1) 2)))))))
(* -1 (* (pow N 2) (pow (sqrt -1) 2)))
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (/ 1 N)))
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (+ (/ 1 N) (/ 1 (pow N 2)))))
(* -1 (* (sqrt N) (pow (sqrt -1) 2)))
(* -1 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)))))
(* (sqrt (pow N 3)) (pow (sqrt -1) 4))
(* (pow N 2) (+ (* -1 (* (sqrt (/ 1 (pow N 3))) (pow (sqrt -1) 4))) (* (sqrt (/ 1 N)) (pow (sqrt -1) 4))))
(* (pow N 2) (pow (sqrt -1) 4))
(* (pow N 2) (+ (* -1 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 4)))
(* (pow N 2) (+ (* -1 (/ (- (pow (sqrt -1) 4) (/ 1 N)) N)) (pow (sqrt -1) 4)))
(atan2 1 (+ 1 (* -1 (* N (* (pow (sqrt -1) 4) (+ 1 (* -1 N)))))))
(* -1 (* (pow (* -1 (pow N 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* -1 (* N (+ (* 1/2 (* (pow (/ -1 (pow N 5)) 1/4) (sqrt (pow (sqrt -1) 3)))) (* (pow (/ -1 N) 1/4) (sqrt (pow (sqrt -1) 3))))))
(* -1 (* N (+ (* -1/8 (* (pow (/ -1 (pow N 9)) 1/4) (sqrt (pow (sqrt -1) 3)))) (+ (* 1/2 (* (pow (/ -1 (pow N 5)) 1/4) (sqrt (pow (sqrt -1) 3)))) (* (pow (/ -1 N) 1/4) (sqrt (pow (sqrt -1) 3)))))))
(* -1 (* N (+ (* -1/8 (* (pow (/ -1 (pow N 9)) 1/4) (sqrt (pow (sqrt -1) 3)))) (+ (* 1/16 (* (pow (/ -1 (pow N 13)) 1/4) (sqrt (pow (sqrt -1) 3)))) (+ (* 1/2 (* (pow (/ -1 (pow N 5)) 1/4) (sqrt (pow (sqrt -1) 3)))) (* (pow (/ -1 N) 1/4) (sqrt (pow (sqrt -1) 3))))))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* -1 (* (sqrt (pow N 3)) (pow (sqrt -1) 2)))
(* (pow N 2) (+ (* -1 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow N 3))) (pow (sqrt -1) 2))))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify184.0ms (3.5%)

Memory

4.9MiB live, 99.3MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	843
1	773	786
2	2929	742
0	8364	701

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

Inputs
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (- 1 N))))
(+ 1 (* -1 (pow N 2)))
(pow N 2)
(atan2 1 (+ 1 (* N (+ 1 N))))
(sqrt N)
N
(* N (+ 1 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 (sqrt N))
(+ (sqrt (pow N 3)) (* -1 (sqrt N)))
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(atan2 1 (+ 1 (* N (- N 1))))
(* (pow (* 1 N) 1/4) (sqrt -1))
(+ (* 1/2 (* (pow (* 1 (pow N 5)) 1/4) (/ 1 (sqrt -1)))) (* (pow (* 1 N) 1/4) (sqrt -1)))
(+ (* N (+ (* -1/8 (* (pow (* 1 (pow N 5)) 1/4) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (pow (* 1 N) 1/4) (/ 1 (sqrt -1)))))) (* (pow (* 1 N) 1/4) (sqrt -1)))
(+ (* N (+ (* 1/2 (* (pow (* 1 N) 1/4) (/ 1 (sqrt -1)))) (* N (+ (* -1/8 (* (pow (* 1 N) 1/4) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (pow (* 1 (pow N 5)) 1/4) (/ 1 (pow (sqrt -1) 5)))))))) (* (pow (* 1 N) 1/4) (sqrt -1)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (- (+ 1 (/ N (- 1 N))) (/ (pow N 3) (- 1 N))))
(* -1 (pow N 2))
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(* N (+ 1 (/ 1 N)))
(* 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))))
(sqrt (pow N 3))
(* (pow N 2) (+ (sqrt (/ 1 N)) (* -1 (sqrt (/ 1 (pow N 3))))))
(* (pow N 2) (- 1 (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(atan2 1 (- (+ 1 (pow N 2)) N))
(pow (* 1 (pow N 3)) 1/4)
(* N (+ (* -1/2 (pow (/ 1 (pow N 5)) 1/4)) (pow (/ 1 N) 1/4)))
(* N (+ (* -1/2 (pow (/ 1 (pow N 5)) 1/4)) (+ (* -1/8 (pow (/ 1 (pow N 9)) 1/4)) (pow (/ 1 N) 1/4))))
(* N (+ (* -1/2 (pow (/ 1 (pow N 5)) 1/4)) (+ (* -1/8 (pow (/ 1 (pow N 9)) 1/4)) (+ (* -1/16 (pow (/ 1 (pow N 13)) 1/4)) (pow (/ 1 N) 1/4)))))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (+ 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(* -1 (* N (pow (sqrt -1) 2)))
(* -1 (* N (- (pow (sqrt -1) 2) (/ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 (* -1 (* N (pow (sqrt -1) 2)))))))
(* -1 (* (pow N 2) (pow (sqrt -1) 2)))
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (/ 1 N)))
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (+ (/ 1 N) (/ 1 (pow N 2)))))
(* -1 (* (sqrt N) (pow (sqrt -1) 2)))
(* -1 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)))))
(* (sqrt (pow N 3)) (pow (sqrt -1) 4))
(* (pow N 2) (+ (* -1 (* (sqrt (/ 1 (pow N 3))) (pow (sqrt -1) 4))) (* (sqrt (/ 1 N)) (pow (sqrt -1) 4))))
(* (pow N 2) (pow (sqrt -1) 4))
(* (pow N 2) (+ (* -1 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 4)))
(* (pow N 2) (+ (* -1 (/ (- (pow (sqrt -1) 4) (/ 1 N)) N)) (pow (sqrt -1) 4)))
(atan2 1 (+ 1 (* -1 (* N (* (pow (sqrt -1) 4) (+ 1 (* -1 N)))))))
(* -1 (* (pow (* -1 (pow N 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* -1 (* N (+ (* 1/2 (* (pow (/ -1 (pow N 5)) 1/4) (sqrt (pow (sqrt -1) 3)))) (* (pow (/ -1 N) 1/4) (sqrt (pow (sqrt -1) 3))))))
(* -1 (* N (+ (* -1/8 (* (pow (/ -1 (pow N 9)) 1/4) (sqrt (pow (sqrt -1) 3)))) (+ (* 1/2 (* (pow (/ -1 (pow N 5)) 1/4) (sqrt (pow (sqrt -1) 3)))) (* (pow (/ -1 N) 1/4) (sqrt (pow (sqrt -1) 3)))))))
(* -1 (* N (+ (* -1/8 (* (pow (/ -1 (pow N 9)) 1/4) (sqrt (pow (sqrt -1) 3)))) (+ (* 1/16 (* (pow (/ -1 (pow N 13)) 1/4) (sqrt (pow (sqrt -1) 3)))) (+ (* 1/2 (* (pow (/ -1 (pow N 5)) 1/4) (sqrt (pow (sqrt -1) 3)))) (* (pow (/ -1 N) 1/4) (sqrt (pow (sqrt -1) 3))))))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* -1 (* (sqrt (pow N 3)) (pow (sqrt -1) 2)))
(* (pow N 2) (+ (* -1 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow N 3))) (pow (sqrt -1) 2))))

Outputs
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (- 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)))
(+ 1 (* -1 (pow N 2)))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(pow N 2)
(*.f64 N N)
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(sqrt N)
(sqrt.f64 N)
N
(* N (+ 1 N))
(fma.f64 N N 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 (.f64 N N) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (fma.f64 (.f64 N N) #s(literal 1/16 binary64) #s(literal 1/2 binary64)))) (*.f64 N N) (sqrt.f64 N))
(* -1 (sqrt N))
(neg.f64 (sqrt.f64 N))
(+ (sqrt (pow N 3)) (* -1 (sqrt N)))
(-.f64 (sqrt.f64 (pow.f64 N #s(literal 3 binary64))) (sqrt.f64 N))
(+ 1 (* -1 N))
(-.f64 #s(literal 1 binary64) N)
(+ 1 (* N (- N 1)))
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(atan2 1 (+ 1 (* N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(* (pow (* 1 N) 1/4) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 N #s(literal 1/4 binary64)))
(+ (* 1/2 (* (pow (* 1 (pow N 5)) 1/4) (/ 1 (sqrt -1)))) (* (pow (* 1 N) 1/4) (sqrt -1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 N #s(literal 5 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 N #s(literal 1/4 binary64))))
(+ (* N (+ (* -1/8 (* (pow (* 1 (pow N 5)) 1/4) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (pow (* 1 N) 1/4) (/ 1 (sqrt -1)))))) (* (pow (* 1 N) 1/4) (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 N #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 N #s(literal 5 binary64)) #s(literal 1/4 binary64)))) N (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 N #s(literal 1/4 binary64))))
(+ (* N (+ (* 1/2 (* (pow (* 1 N) 1/4) (/ 1 (sqrt -1)))) (* N (+ (* -1/8 (* (pow (* 1 N) 1/4) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (pow (* 1 (pow N 5)) 1/4) (/ 1 (pow (sqrt -1) 5)))))))) (* (pow (* 1 N) 1/4) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 (pow.f64 N #s(literal 5 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 N #s(literal 1/4 binary64)))) N (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 N #s(literal 1/4 binary64)))) N (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 N #s(literal 1/4 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(atan2 1 (- (+ 1 (/ N (- 1 N))) (/ (pow N 3) (- 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)))
(* -1 (pow N 2))
(*.f64 (neg.f64 N) N)
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) N)
(* N (+ 1 (/ 1 N)))
(-.f64 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 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 N N))) N))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))) (/ 1/8 (pow N 2))))
(+.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) N) #s(literal 1/8 binary64)) N) N) N))
(sqrt (pow N 3))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(* (pow N 2) (+ (sqrt (/ 1 N)) (* -1 (sqrt (/ 1 (pow N 3))))))
(.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (.f64 N N))
(* (pow N 2) (- 1 (/ 1 N)))
(*.f64 (-.f64 N #s(literal 1 binary64)) N)
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(atan2 1 (- (+ 1 (pow N 2)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(pow (* 1 (pow N 3)) 1/4)
(pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1/4 binary64))
(* N (+ (* -1/2 (pow (/ 1 (pow N 5)) 1/4)) (pow (/ 1 N) 1/4)))
(*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64))) N)
(* N (+ (* -1/2 (pow (/ 1 (pow N 5)) 1/4)) (+ (* -1/8 (pow (/ 1 (pow N 9)) 1/4)) (pow (/ 1 N) 1/4))))
(*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64))) #s(literal 1/4 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64)))) N)
(* N (+ (* -1/2 (pow (/ 1 (pow N 5)) 1/4)) (+ (* -1/8 (pow (/ 1 (pow N 9)) 1/4)) (+ (* -1/16 (pow (/ 1 (pow N 13)) 1/4)) (pow (/ 1 N) 1/4)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 13 binary64))) #s(literal 1/4 binary64)) #s(literal -1/16 binary64) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64))) #s(literal 1/4 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64))))) N)
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (+ 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(* -1 (* N (pow (sqrt -1) 2)))
N
(* -1 (* N (- (pow (sqrt -1) 2) (/ 1 N))))
(-.f64 N #s(literal -1 binary64))
(atan2 1 (+ 1 (* N (+ 1 (* -1 (* N (pow (sqrt -1) 2)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(* -1 (* (pow N 2) (pow (sqrt -1) 2)))
(*.f64 N N)
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(* -1 (* (sqrt N) (pow (sqrt -1) 2)))
(sqrt.f64 N)
(* -1 N)
(neg.f64 N)
(* -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 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N N)) N #s(literal -1/2 binary64)) N)
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/2) N)))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) N) #s(literal 1/8 binary64)) (neg.f64 N)) #s(literal 1/2 binary64))) #s(literal 1 binary64) N))
(* (sqrt (pow N 3)) (pow (sqrt -1) 4))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (sqrt.f64 (pow.f64 N #s(literal 3 binary64))))
(* (pow N 2) (+ (* -1 (* (sqrt (/ 1 (pow N 3))) (pow (sqrt -1) 4))) (* (sqrt (/ 1 N)) (pow (sqrt -1) 4))))
(.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) N) N) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))))
(* (pow N 2) (pow (sqrt -1) 4))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) N) N)
(* (pow N 2) (+ (* -1 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 4)))
(.f64 (+.f64 #s(literal -1 binary64) N) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) N))
(* (pow N 2) (+ (* -1 (/ (- (pow (sqrt -1) 4) (/ 1 N)) N)) (pow (sqrt -1) 4)))
(.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) N)) N)) (.f64 N N))
(atan2 1 (+ 1 (* -1 (* N (* (pow (sqrt -1) 4) (+ 1 (* -1 N)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
(* -1 (* (pow (* -1 (pow N 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(*.f64 (neg.f64 (pow.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* N (+ (* 1/2 (* (pow (/ -1 (pow N 5)) 1/4) (sqrt (pow (sqrt -1) 3)))) (* (pow (/ -1 N) 1/4) (sqrt (pow (sqrt -1) 3))))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/4 binary64)))) (neg.f64 N))
(* -1 (* N (+ (* -1/8 (* (pow (/ -1 (pow N 9)) 1/4) (sqrt (pow (sqrt -1) 3)))) (+ (* 1/2 (* (pow (/ -1 (pow N 5)) 1/4) (sqrt (pow (sqrt -1) 3)))) (* (pow (/ -1 N) 1/4) (sqrt (pow (sqrt -1) 3)))))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 9 binary64))) #s(literal 1/4 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/4 binary64))))) (neg.f64 N))
(* -1 (* N (+ (* -1/8 (* (pow (/ -1 (pow N 9)) 1/4) (sqrt (pow (sqrt -1) 3)))) (+ (* 1/16 (* (pow (/ -1 (pow N 13)) 1/4) (sqrt (pow (sqrt -1) 3)))) (+ (* 1/2 (* (pow (/ -1 (pow N 5)) 1/4) (sqrt (pow (sqrt -1) 3)))) (* (pow (/ -1 N) 1/4) (sqrt (pow (sqrt -1) 3))))))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 9 binary64))) #s(literal 1/4 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 13 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/4 binary64))))) (neg.f64 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 (* (sqrt (pow N 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(* (pow N 2) (+ (* -1 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow N 3))) (pow (sqrt -1) 2))))
(.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (.f64 N N))

rewrite196.0ms (3.7%)

Memory

-10.8MiB live, 226.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	205
0	62	175
1	239	127
2	1694	127
0	10058	124

Stop Event

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

Counts

21 → 1 588

Calls

Call 1

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

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

eval197.0ms (3.7%)

Memory: -14.8MiB live, 269.8MiB allocated; 35ms collecting garbage
Compiler: Compiled 23 564 to 3 969 computations (83.2% saved)

prune40.0ms (0.8%)

Memory

9.9MiB live, 99.2MiB allocated; 10ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	995	7	1 002
Fresh	6	4	10
Picked	1	4	5
Done	0	4	4
Total	1 002	19	1 021

Accuracy

99.8%

Counts

1 021 → 19

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)))
	99.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (+.f64 (sqrt.f64 N) #s(literal 1 binary64))) (/.f64 N (-.f64 (sqrt.f64 N) #s(literal 1 binary64))) #s(literal 1 binary64)))
	92.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (sqrt.f64 N)) (/.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (/.f64 (sqrt.f64 N) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal 1 binary64))) (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (sqrt.f64 N)) (sqrt.f64 N) #s(literal 1 binary64)))
✓	92.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))) (sqrt.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N)))) (sqrt.f64 N) #s(literal 1 binary64)))
	92.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 N N) N N)) (sqrt.f64 N) #s(literal 1 binary64)))
	92.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 (fma.f64 N N N) (sqrt.f64 N))) (sqrt.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (sqrt.f64 N))) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 N N N) N)) (sqrt.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N #s(literal 1 binary64))))
	92.3%	(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)))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	74.6%	(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))
	96.2%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1) (fma.f64 N N N)))
	92.9%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (sqrt N) (sqrt N)) 1) N) 1) (*.f64 N N)))
✓	7.8%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
✓	6.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

Compiler

Compiled 826 to 323 computations (60.9% saved)

regimes15.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.9%	1	`N`
92.9%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

-43.3MiB live, 3.4MiB allocated; 3ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
1.0ms	N

Results

Accuracy	Segments	Branch
7.8%	1	`N`
7.8%	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

3.5MiB live, 3.5MiB 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
6.3%	1	`N`
6.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify17.0ms (0.3%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	70
1	30	70
2	46	70
3	89	70
4	200	70
5	413	70
6	628	70
7	660	70
8	669	70

Stop Event

1×

saturated

Calls

Call 1

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

derivations415.0ms (7.9%)

Memory

-13.7MiB live, 132.5MiB allocated; 26ms 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	5	17
0	9	17
1	38	17
2	261	17
3	2707	17
0	8997	17
0	6	16
0	10	16
1	43	16
2	266	16
3	2561	16
0	9660	16

Stop Event

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

Compiler

Compiled 70 to 24 computations (65.7% saved)

preprocess43.0ms (0.8%)

Memory: 3.0MiB live, 47.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 170 to 70 computations (58.8% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	5	19
0	9	19
1	14	19
2	27	19
3	70	19
4	172	19
5	275	19
6	415	19
7	512	19
8	603	19
9	678	19
10	687	19
0	687	19

Iter	Nodes	Cost
0	5	19
0	9	19
1	14	19
2	27	19
3	70	19
4	172	19
5	275	19
6	415	19
7	512	19
8	603	19
9	678	19
10	687	19
0	687	19

start0.0ms (0%)

analyze2.0ms (0%)

sample2.3s (43.4%)

explain155.0ms (2.9%)

preprocess23.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize49.0ms (0.9%)

series1.0ms (0%)

simplify6.0ms (0.1%)

rewrite194.0ms (3.7%)

eval16.0ms (0.3%)

prune10.0ms (0.2%)

simplify17.0ms (0.3%)

localize23.0ms (0.4%)

series1.0ms (0%)

simplify137.0ms (2.6%)

rewrite153.0ms (2.9%)

eval55.0ms (1%)

prune14.0ms (0.3%)

simplify144.0ms (2.7%)

localize98.0ms (1.8%)

series12.0ms (0.2%)

simplify120.0ms (2.3%)

rewrite179.0ms (3.4%)

eval151.0ms (2.8%)

prune33.0ms (0.6%)

simplify153.0ms (2.9%)

localize107.0ms (2%)

series12.0ms (0.2%)

simplify184.0ms (3.5%)

rewrite196.0ms (3.7%)

eval197.0ms (3.7%)

prune40.0ms (0.8%)

regimes15.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

simplify17.0ms (0.3%)

derivations415.0ms (7.9%)

preprocess43.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	19
0	9	19
1	14	19
2	27	19
3	70	19
4	172	19
5	275	19
6	415	19
7	512	19
8	603	19
9	678	19
10	687	19
0	687	19