Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze23.0ms (0.5%)

Memory

-16.5MiB live, 60.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample951.0ms (19.8%)

Memory

38.8MiB live, 1 220.0MiB allocated

Samples

698.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 425.0ms

ival-sub: 186.0ms (43.8% of total)

ival-mult: 147.0ms (34.6% of total)

ival-div: 76.0ms (17.9% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain71.0ms (1.5%)

Memory

11.8MiB live, 124.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
71	-	2	(8.373455102138417e-128 -2.6974029943095536e-195)	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	37	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	37
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	32	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	32

Confusion

	Predicted +	Predicted -
+	69	2
-	0	185

Precision

1.0

Recall

0.971830985915493

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	2
-	0	0	185

Precision?

1.0

Recall?

0.971830985915493

Freqs

test

number	freq
0	187
1	69

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (45.9% of total)

ival-sub: 3.0ms (23% of total)

ival-div: 3.0ms (23% of total)

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

exact: 0.0ms (0% of total)

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

preprocess254.0ms (5.3%)

Memory

-27.1MiB live, 248.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 700×	`lower-fma.f64`
7 700×	`lower-fma.f32`
3 752×	`lower-*.f32`
3 748×	`lower-*.f64`
2 616×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	71	45
2	303	35
3	1658	35
4	3588	35
5	5120	35
6	5897	35
7	6043	35
8	6091	35
9	6178	35
10	6178	35
11	6640	35
12	7256	35
0	7	9
0	11	9
1	22	9
2	56	7
3	133	7
4	309	7
5	630	7
6	1135	7
7	4009	7
8	7041	7
0	8094	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Outputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.1%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify308.0ms (6.4%)

Memory

2.0MiB live, 137.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	-64	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(-.f64 x y)

Rules

7 700×	`lower-fma.f64`
7 700×	`lower-fma.f32`
3 752×	`lower-*.f32`
3 748×	`lower-*.f64`
1 972×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	22	23
2	56	21
3	133	21
4	309	21
5	630	21
6	1135	21
7	4009	21
8	7041	21
0	8094	21

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
x
y
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 x y)
x
y
(.f64 (.f64 x #s(literal 2 binary64)) y)
(.f64 (.f64 #s(literal 2 binary64) x) y)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize101.0ms (2.1%)

Memory

-10.3MiB live, 28.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	16.544766443544084	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (46.6% of total)

ival-div: 2.0ms (31.1% of total)

ival-sub: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- x y) (* (* x 2) y) (* x 2) (/ (- x y) (* (* x 2) y)))
1.0ms	y	@	inf	((- x y) (* (* x 2) y) (* x 2) (/ (- x y) (* (* x 2) y)))
1.0ms	y	@	-inf	((- x y) (* (* x 2) y) (* x 2) (/ (- x y) (* (* x 2) y)))
1.0ms	x	@	inf	((- x y) (* (* x 2) y) (* x 2) (/ (- x y) (* (* x 2) y)))
1.0ms	y	@	0	((- x y) (* (* x 2) y) (* x 2) (/ (- x y) (* (* x 2) y)))

simplify213.0ms (4.4%)

Memory

3.4MiB live, 197.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 868×	`lower-fma.f64`
16 868×	`lower-fma.f32`
2 616×	`lower-*.f64`
2 616×	`lower-*.f32`
2 482×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	369
1	106	369
2	239	369
3	550	369
4	1455	369
5	2629	369
6	4362	369
7	5581	369
8	6065	369
9	6308	369
10	6428	369
11	7585	369
0	8033	366

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

Inputs
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))

Outputs
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))

rewrite220.0ms (4.6%)

Memory

18.8MiB live, 335.6MiB allocated

Rules

5 688×	`lower-/.f32`
5 686×	`lower-/.f64`
4 398×	`lower-*.f32`
4 394×	`lower-*.f64`
2 466×	`lower-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	43	20
2	301	18
3	4219	18
0	10118	18

Stop Event

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

Counts

4 → 623

Calls

Call 1

Inputs
(-.f64 x y)
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Outputs
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (+.f64 y x) y)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))
(.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(.f64 (.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 (-.f64 x y) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 y) y)) (neg.f64 (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
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(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal -3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) x) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) y) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 x x) (.f64 (.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 y x))) (/.f64 (.f64 y y) (.f64 (.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 (.f64 #s(literal 2 binary64) x) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 (.f64 #s(literal 2 binary64) x) y))))
(-.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (.f64 y x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 x (.f64 #s(literal -2 binary64) (.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (neg.f64 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))

eval140.0ms (2.9%)

Memory: -30.8MiB live, 182.5MiB allocated
Compiler: Compiled 14 466 to 1 726 computations (88.1% saved)

prune30.0ms (0.6%)

Memory

-0.1MiB live, 37.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	699	5	704
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	699	6	705

Accuracy

100.0%

Counts

705 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.2%	(/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
✓	74.1%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	86.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
▶	46.9%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	54.7%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 75 to 71 computations (5.3% saved)

simplify127.0ms (2.6%)

Memory

-3.0MiB live, 114.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(/.f64 x (*.f64 #s(literal 2 binary64) y))
cost-diff	0	(-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
cost-diff	320	(/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
cost-diff	192	(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Rules

5 388×	`lower-fma.f32`
5 386×	`lower-fma.f64`
3 420×	`lower-*.f32`
3 418×	`lower-*.f64`
1 654×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	119
0	35	116
1	58	116
2	105	110
3	196	109
4	465	109
5	1111	109
6	3012	109
7	4906	109
8	6890	109
9	7842	109
0	8059	109

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 y x)
y
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal 1/2 binary64)

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 y x)
y
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal 1/2 binary64)

localize59.0ms (1.2%)

Memory

28.3MiB live, 101.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x (*.f64 #s(literal 2 binary64) y))
accuracy	0	(-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	7.538395319388257	(/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
accuracy	0	(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	0	(/.f64 y x)
accuracy	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
accuracy	8.967597223651207	(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	33.98053775157692	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	29.02372977333198	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.015625	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Samples

47.0ms

256×

valid

Compiler

Compiled 106 to 23 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 18.0ms (61.9% of total)

ival-mult: 6.0ms (20.6% of total)

ival-sub: 3.0ms (10.3% of total)

ival-add: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.7%)

Memory

-21.9MiB live, 61.4MiB allocated

Counts

14 → 288

Calls

Call 1

Inputs
#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (patch (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (patch (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 #s(literal 2 binary64) y)) (patch (/.f64 x (.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())

Outputs
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (patch (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (patch (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (patch (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (patch (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (patch (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (patch (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (patch (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (patch (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (patch (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (patch (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (patch (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 #s(literal 2 binary64) y)) (patch (/.f64 x (.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 #s(literal 2 binary64) y)) (patch (/.f64 x (.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 #s(literal 2 binary64) y)) (patch (/.f64 x (.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 #s(literal 2 binary64) y)) (patch (/.f64 x (.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (/ (- x y) (* (* x 2) y)) (+ (* (/ y x) -1/2) 1/2) (/ y x) (/ (- (/ x (* 2 y)) 1/2) x) (- (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))
5.0ms	x	@	-inf	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (/ (- x y) (* (* x 2) y)) (+ (* (/ y x) -1/2) 1/2) (/ y x) (/ (- (/ x (* 2 y)) 1/2) x) (- (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))
2.0ms	y	@	-inf	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (/ (- x y) (* (* x 2) y)) (+ (* (/ y x) -1/2) 1/2) (/ y x) (/ (- (/ x (* 2 y)) 1/2) x) (- (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))
2.0ms	x	@	0	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (/ (- x y) (* (* x 2) y)) (+ (* (/ y x) -1/2) 1/2) (/ y x) (/ (- (/ x (* 2 y)) 1/2) x) (- (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))
2.0ms	y	@	inf	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (/ (- x y) (* (* x 2) y)) (+ (* (/ y x) -1/2) 1/2) (/ y x) (/ (- (/ x (* 2 y)) 1/2) x) (- (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))

simplify367.0ms (7.6%)

Memory

-1.9MiB live, 243.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22 366×	`lower-fma.f64`
22 366×	`lower-fma.f32`
2 860×	`lower-*.f64`
2 860×	`lower-*.f32`
2 052×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	1740
1	79	1740
2	189	1740
3	585	1722
4	1141	1488
5	2306	1488
6	4321	1488
7	5727	1488
8	6497	1488
9	6772	1488
10	6881	1488
11	6923	1488
12	6923	1488
13	7053	1488
14	7419	1488
15	7821	1488
16	7821	1488
0	8655	1452

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
1/2
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(* 1/2 (/ x y))
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* -1/2 (/ y x))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
-1/2
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* -1/2 (/ y x))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
-1/2
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1/2 (/ y x))
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
-1/2
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
1/2
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* 1/2 (/ x y))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
1/2
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* 1/2 (/ x y))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))

Outputs
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
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(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))

rewrite286.0ms (5.9%)

Memory

12.2MiB live, 165.9MiB allocated

Rules

5 564×	`lower-/.f32`
5 550×	`lower-/.f64`
4 824×	`lower-*.f32`
4 822×	`lower-*.f64`
2 580×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	101
0	35	101
1	156	101
2	1344	95
0	8546	93

Stop Event

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

Counts

14 → 640

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 y x)
(/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)

Outputs
(.f64 (/.f64 (-.f64 x y) (.f64 x y)) #s(literal 1/2 binary64))
(.f64 (/.f64 (+.f64 x y) (.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (/.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(.f64 (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) x))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 x y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) y)) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64)) x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 x y)) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (*.f64 x y)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 x x (.f64 y (+.f64 x y))) #s(literal -1 binary64)) (*.f64 x y)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) y))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) x) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) y) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64)) y))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (pow.f64 (fma.f64 x x (.f64 y (+.f64 x y))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (/.f64 (pow.f64 (fma.f64 x x (.f64 y (+.f64 x y))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 x y) (.f64 #s(literal -2 binary64) y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 x y) (neg.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 (.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 x y)) (/.f64 x (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (.f64 y (+.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x y) y) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 x y) (neg.f64 y)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) y)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (-.f64 x y))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x y)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 x y)) (pow.f64 (.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 y) #s(literal 1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(*.f64 (-.f64 x y) (/.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 x y) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y))) #s(literal -1 binary64))
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(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64))
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -2 binary64)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (neg.f64 x) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (neg.f64 y)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y))))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(neg.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) y)) (/.f64 x (.f64 #s(literal -2 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(/.f64 y #s(literal 1/2 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -1/2 binary64)))

eval205.0ms (4.3%)

Memory: -9.4MiB live, 227.0MiB allocated
Compiler: Compiled 14 830 to 2 111 computations (85.8% saved)

prune24.0ms (0.5%)

Memory

1.2MiB live, 78.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	956	1	957
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	957	6	963

Accuracy

100.0%

Counts

963 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.2%	(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
✓	74.1%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	86.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓	46.9%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	54.7%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 41 to 38 computations (7.3% saved)

simplify4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)

Rules

12×	`lower-*.f64`
12×	`lower-*.f32`
8×	`lower-/.f32`
8×	`lower-fma.f32`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	11	21
1	15	21
2	19	21
3	20	21
0	20	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)

Outputs
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)

localize19.0ms (0.4%)

Memory

2.1MiB live, 40.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	0	(/.f64 x y)
accuracy	7.538395319388257	(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 10 computations (60% saved)

Precisions

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

ival-div: 4.0ms (50.9% of total)

ival-mult: 3.0ms (38.2% of total)

ival-add: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())

#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())

#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 y) (* 1/2 x)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 y) (* 1/2 x)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 y) (* 1/2 x)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor inf y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor inf y) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ x y)) 1/2) (taylor inf y) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ x y)) 1/2) (taylor inf y) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ x y)) 1/2) (taylor inf y) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor -inf y) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ x y)) 1/2) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ x y)) 1/2) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ x y)) 1/2) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ x y)) 1/2) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ x y)) 1/2) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ x y)) 1/2) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
1.0ms	x	@	inf	((/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
1.0ms	y	@	-inf	((/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
0.0ms	y	@	0	((/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
0.0ms	y	@	inf	((/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))

simplify245.0ms (5.1%)

Memory

-14.1MiB live, 196.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 544×	`lower-fma.f64`
5 544×	`lower-fma.f32`
3 488×	`lower-*.f64`
3 488×	`lower-*.f32`
1 440×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	432
1	66	432
2	141	432
3	385	432
4	786	414
5	1709	396
6	4127	360
7	5815	360
8	6568	360
9	6763	360
10	6867	360
11	6998	360
12	7267	360
13	7573	360
14	7928	360
0	8184	342

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(* 1/2 (/ x y))
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
-1/2
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
-1/2
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
-1/2
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* 1/2 (/ x y))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* 1/2 (/ x y))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)

Outputs
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ x y)) 1/2)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(- (* 1/2 (/ x y)) 1/2)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(- (* 1/2 (/ x y)) 1/2)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ x y)) 1/2)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(- (* 1/2 (/ x y)) 1/2)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(- (* 1/2 (/ x y)) 1/2)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ x y)) 1/2)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(- (* 1/2 (/ x y)) 1/2)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(- (* 1/2 (/ x y)) 1/2)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

rewrite146.0ms (3%)

Memory

6.5MiB live, 237.6MiB allocated

Rules

4 604×	`lower-/.f32`
4 600×	`lower-/.f64`
3 998×	`lower-fma.f32`
3 996×	`lower-fma.f64`
3 560×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	11	17
1	44	17
2	282	17
3	3235	17
0	8637	17

Stop Event

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

Counts

3 → 382

Calls

Call 1

Inputs
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 x y)

Outputs
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x y) (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal 1/16 binary64))))) (/.f64 #s(literal 1/64 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal 1/16 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 6 binary64)) (.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x y)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x y)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1/8 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x y)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 6 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x y)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x y)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 6 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x y)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x y)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) y)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) y)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (log.f64 (/.f64 x y)))

eval56.0ms (1.2%)

Memory: 7.7MiB live, 126.4MiB allocated
Compiler: Compiled 9 714 to 1 100 computations (88.7% saved)

prune10.0ms (0.2%)

Memory

-3.2MiB live, 34.3MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	454	0	454
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	454	6	460

Accuracy

100.0%

Counts

460 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.2%	(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
✓	74.1%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	86.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓	46.9%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	54.7%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 91 to 64 computations (29.7% saved)

regimes9.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Calls

3 calls:

3.0ms	y
3.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes23.0ms (0.5%)

Memory

-27.3MiB live, 11.3MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))

Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

Calls

3 calls:

19.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
88.8%	5	`x`
85.3%	6	`y`
88.5%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

Outputs

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

Calls

3 calls:

2.0ms	y
2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	x

Results

Accuracy	Segments	Branch
77.3%	3	`y`
62.2%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
79.1%	3	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Calls

3 calls:

1.0ms	y
1.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	x

Results

Accuracy	Segments	Branch
54.7%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
54.7%	1	`y`
54.7%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch80.0ms (1.7%)

Memory

-18.3MiB live, 101.8MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	9.602823917736387e+149	1.087369975898831e+159
10.0ms	1.8167683651056988e-184	7.614458907955519e-182
15.0ms	-2.664123657800178e-156	-1.8949776024590033e-165
35.0ms	-2.0850952281003314e+186	-4.506837101664045e+177

Samples

39.0ms

560×

valid

Compiler

Compiled 467 to 502 computations (-7.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (49.6% of total)

ival-sub: 3.0ms (21.3% of total)

ival-div: 3.0ms (21.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.7%)

Memory

-2.2MiB live, 34.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	25029163687.27043	2.368951313202837e+24
10.0ms	-2.1675162951662893e-51	-1.1987369280300706e-54

Samples

13.0ms

288×

valid

Compiler

Compiled 156 to 228 computations (-46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (42.3% of total)

ival-sub: 2.0ms (28.2% of total)

ival-div: 2.0ms (28.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify24.0ms (0.5%)

Memory

33.8MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
12×	`+-commutative-binary64-+.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	140
1	43	140
2	55	140
3	63	140
4	69	140
5	71	140

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -4599999999999999809319620582382052360106251333183414869369499774942311666314175706621232397745578952726907466778266515409091463954880200481803315734419714200218319884599827628032 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -7469128023985787/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 5531576003855031/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 7500000000000000256266672757433058291526672652617150329954478820486124320119527707005095163491710987976334009200395548727569733017316199417980546440566407168 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal -5866484394771979/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 3400000000000000000 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -4599999999999999809319620582382052360106251333183414869369499774942311666314175706621232397745578952726907466778266515409091463954880200481803315734419714200218319884599827628032 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -7469128023985787/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 5531576003855031/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 7500000000000000256266672757433058291526672652617150329954478820486124320119527707005095163491710987976334009200395548727569733017316199417980546440566407168 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal -4599999999999999809319620582382052360106251333183414869369499774942311666314175706621232397745578952726907466778266515409091463954880200481803315734419714200218319884599827628032 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -7469128023985787/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 x #s(literal 5531576003855031/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 7500000000000000256266672757433058291526672652617150329954478820486124320119527707005095163491710987976334009200395548727569733017316199417980546440566407168 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal -5866484394771979/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 3400000000000000000 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

soundness599.0ms (12.5%)

Memory

-26.3MiB live, 292.8MiB allocated

Rules

16 868×	`lower-fma.f64`
16 868×	`lower-fma.f32`
5 688×	`lower-/.f32`
5 686×	`lower-/.f64`
4 398×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	369
1	106	369
2	239	369
3	550	369
4	1455	369
5	2629	369
6	4362	369
7	5581	369
8	6065	369
9	6308	369
10	6428	369
11	7585	369
0	8033	366
0	7	20
0	11	20
1	43	20
2	301	18
3	4219	18
0	10118	18

Stop Event

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

Compiler

Compiled 108 to 64 computations (40.7% saved)

preprocess115.0ms (2.4%)

Memory: 8.3MiB live, 124.2MiB allocated
Compiler: Compiled 186 to 92 computations (50.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze23.0ms (0.5%)

sample951.0ms (19.8%)

explain71.0ms (1.5%)

preprocess254.0ms (5.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify308.0ms (6.4%)

localize101.0ms (2.1%)

series11.0ms (0.2%)

simplify213.0ms (4.4%)

rewrite220.0ms (4.6%)

eval140.0ms (2.9%)

prune30.0ms (0.6%)

simplify127.0ms (2.6%)

localize59.0ms (1.2%)

series32.0ms (0.7%)

simplify367.0ms (7.6%)

rewrite286.0ms (5.9%)

eval205.0ms (4.3%)

prune24.0ms (0.5%)

simplify4.0ms (0.1%)

localize19.0ms (0.4%)

series5.0ms (0.1%)

simplify245.0ms (5.1%)

rewrite146.0ms (3%)

eval56.0ms (1.2%)

prune10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes23.0ms (0.5%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch80.0ms (1.7%)

bsearch35.0ms (0.7%)

simplify24.0ms (0.5%)

soundness599.0ms (12.5%)

preprocess115.0ms (2.4%)

end0.0ms (0%)

Profiling