Metrics for Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample854.0ms (10.3%)

Memory

23.5MiB live, 1 536.3MiB allocated

Samples

314.0ms	6 384×	0	valid
272.0ms	1 871×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-sub: 113.0ms (31.9% of total)

ival-add: 89.0ms (25.1% of total)

ival-mult: 77.0ms (21.7% of total)

adjust: 61.0ms (17.2% of total)

ival-true: 7.0ms (2% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain104.0ms (1.3%)

Memory

-10.4MiB live, 186.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
57	-	-	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))`
0	-	-	`y`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`	cancellation	57	0

Confusion

	Predicted +	Predicted -
+	57	0
-	0	199

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	57	0	0
-	0	0	199

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	199
1	57

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms	402×	0	valid
14.0ms	108×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 65 to 25 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sub: 14.0ms (51% of total)

ival-mult: 7.0ms (25.5% of total)

ival-add: 3.0ms (10.9% of total)

adjust: 2.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess665.0ms (8%)

Memory

39.5MiB live, 508.7MiB allocated

Algorithm

1×	egg-herbie

Rules

28 256×	`lower-fma.f64`
28 256×	`lower-fma.f32`
3 292×	`lower-*.f32`
3 290×	`lower-*.f64`
2 596×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	44	46
2	143	45
3	605	45
4	2269	35
5	3853	35
6	4887	35
7	5354	35
8	5642	35
9	5827	35
10	5932	35
11	6052	35
12	6379	35
13	7309	35
14	7686	35
15	7984	35
0	7	9
0	11	9
1	19	9
2	38	9
3	106	9
4	361	7
5	1348	7
6	3209	7
7	4989	7
8	5723	7
9	5986	7
10	6177	7
11	6269	7
12	6427	7
13	6806	7
14	7012	7
15	7162	7
16	7236	7
17	7279	7
18	7411	7
19	7917	7
0	8037	6

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune18.0ms (0.2%)

Memory

-38.1MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify609.0ms (7.3%)

Memory

16.8MiB live, 467.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
cost-diff	320	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Rules

28 256×	`lower-fma.f64`
28 256×	`lower-fma.f32`
3 292×	`lower-*.f32`
3 290×	`lower-*.f64`
2 596×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	11	25
1	19	25
2	38	25
3	106	25
4	361	23
5	1348	23
6	3209	23
7	4989	23
8	5723	23
9	5986	23
10	6177	23
11	6269	23
12	6427	23
13	6806	23
14	7012	23
15	7162	23
16	7236	23
17	7279	23
18	7411	23
19	7917	23
0	8037	22

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
x
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) y)
y

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

localize38.0ms (0.5%)

Memory

4.9MiB live, 44.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.015625	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
accuracy	13.505227970976488	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Samples

25.0ms	201×	0	valid
6.0ms	54×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-sub: 3.0ms (36.6% of total)

ival-mult: 2.0ms (24.4% of total)

adjust: 1.0ms (12.2% of total)

ival-add: 1.0ms (12.2% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

-29.9MiB live, 9.1MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#s(alt (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())

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

Calls

18 calls:

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

simplify313.0ms (3.8%)

Memory

35.3MiB live, 594.6MiB allocated

Algorithm

1×	egg-herbie

Rules

20 464×	`lower-fma.f64`
20 464×	`lower-fma.f32`
3 336×	`lower-+.f64`
3 336×	`lower-+.f32`
2 646×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	522
1	186	484
2	507	362
3	1832	362
4	7769	362
0	8507	344

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite239.0ms (2.9%)

Memory

-19.6MiB live, 433.4MiB allocated

Rules

5 364×	`lower-fma.f64`
5 364×	`lower-fma.f32`
3 608×	`lower-*.f32`
3 606×	`lower-*.f64`
2 212×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	22
1	52	22
2	431	22
3	5540	22
0	8703	21

Stop Event

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

Counts

4 → 523

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)

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

eval163.0ms (2%)

Memory: -15.6MiB live, 177.2MiB allocated
Compiler: Compiled 14 196 to 1 520 computations (89.3% saved)

prune140.0ms (1.7%)

Memory

29.4MiB live, 231.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	589	6	595
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	590	6	596

Accuracy

100.0%

Counts

596 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.1%	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 1 y) (neg.f64 y))))
▶	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
▶	67.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (*.f64 y x) y))
▶	58.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
▶	42.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
▶	33.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 88 to 52 computations (40.9% saved)

simplify616.0ms (7.4%)

Memory

0.3MiB live, 559.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

28 144×	`lower-fma.f32`
28 142×	`lower-fma.f64`
3 456×	`lower-*.f32`
3 454×	`lower-*.f64`
2 596×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	102
0	22	105
1	35	105
2	58	105
3	140	105
4	418	87
5	1382	87
6	3260	87
7	4977	87
8	5682	87
9	5944	87
10	6135	87
11	6227	87
12	6385	87
13	6764	87
14	6970	87
15	7120	87
16	7194	87
17	7237	87
18	7369	87
19	7875	87
0	8081	87

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (1.2%)

Memory

-20.8MiB live, 98.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(-.f64 (*.f64 y x) y)
accuracy	20.848915544209472	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (*.f64 y x) y))
accuracy	0	(*.f64 y x)
accuracy	36.687709686252475	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	26.469859670447878	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
accuracy	42.5067064599569	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
accuracy	0	(fma.f64 y x #s(literal 1 binary64))
accuracy	0	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
accuracy	0.00390625	(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)

Samples

31.0ms	55×	1	valid
17.0ms	201×	0	valid

Compiler

Compiled 83 to 13 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sub: 6.0ms (39.4% of total)

ival-mult: 4.0ms (26.3% of total)

ival-add: 3.0ms (19.7% of total)

adjust: 2.0ms (13.1% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

10 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

simplify468.0ms (5.6%)

Memory

-17.1MiB live, 456.6MiB allocated

Algorithm

1×	egg-herbie

Rules

22 322×	`lower-fma.f64`
22 322×	`lower-fma.f32`
3 116×	`lower-*.f64`
3 116×	`lower-*.f32`
1 982×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1980
1	238	1830
2	591	1197
3	1590	1197
4	5417	1197
0	8333	1071

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

rewrite363.0ms (4.4%)

Memory

3.7MiB live, 556.2MiB allocated

Rules

10 724×	`lower-fma.f32`
10 722×	`lower-fma.f64`
4 914×	`lower-*.f32`
4 912×	`lower-*.f64`
3 824×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	89
0	22	89
1	96	89
2	806	89
0	8377	84

Stop Event

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

Counts

10 → 293

Calls

Call 1

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

Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 x y #s(literal 1 binary64)) y))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) y))
(+.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 y))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(+.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(+.f64 (-.f64 (*.f64 x y) y) #s(literal 1 binary64))
(+.f64 (neg.f64 y) (fma.f64 x y #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))) (fma.f64 y (fma.f64 x y (+.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 x y (+.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))))))
(+.f64 (/.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (fma.f64 x y (+.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 (.f64 y y) (fma.f64 x y (+.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x y)))
(-.f64 (fma.f64 x y #s(literal 1 binary64)) y)
(-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 x y #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))) (fma.f64 y (fma.f64 x y (+.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 x y (+.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (fma.f64 x y (+.f64 #s(literal 1 binary64) y))) (/.f64 (.f64 y y) (fma.f64 x y (+.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 y y))) (fma.f64 x y #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 y)))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 y y))) (fma.f64 x y #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) y))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (-.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (*.f64 x y)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) (.f64 x y)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 (fma.f64 x y #s(literal -1 binary64)) y)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 x y #s(literal -1 binary64)) y)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))))) (/.f64 (.f64 y (.f64 y y)) (.f64 y (fma.f64 x (*.f64 x y) (fma.f64 x y y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y y))) (/.f64 (.f64 y y) (fma.f64 x y y)))
(-.f64 (+.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 0 binary64)) y)
(-.f64 (fma.f64 x y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(-.f64 (fma.f64 x y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (+.f64 (neg.f64 y) (/.f64 (.f64 x (.f64 x (*.f64 y y))) (fma.f64 x y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y x (-.f64 #s(literal 1 binary64) y))
(fma.f64 y #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64) (neg.f64 y))
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))) (neg.f64 y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(fma.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 1 binary64)) (*.f64 x y))) (neg.f64 y))
(fma.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (fma.f64 x y #s(literal -1 binary64))))) (neg.f64 y))
(fma.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 1 binary64)) (.f64 x y))) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x y (+.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 x y (+.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))))))
(fma.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 (.f64 y y) (fma.f64 x y (+.f64 #s(literal 1 binary64) y)))))
(fma.f64 (.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (-.f64 (.f64 x y) y)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (-.f64 (.f64 x y) y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (fma.f64 x (.f64 x y) y)) (.f64 y (.f64 y (neg.f64 x))))) #s(literal 1 binary64))
(fma.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (.f64 (-.f64 (.f64 x y) y) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) #s(literal 1 binary64)) (.f64 x y))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 y))
(fma.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (.f64 y (-.f64 (.f64 x (*.f64 x y)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x y y) (.f64 (-.f64 (.f64 x y) y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (.f64 x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 1 binary64)) (*.f64 x y)))) (neg.f64 y))
(fma.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (neg.f64 y))
(fma.f64 (neg.f64 (.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (-.f64 (.f64 x y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (.f64 y (-.f64 (.f64 x (*.f64 x y)) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y y))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y y)))) (*.f64 x y))
(fma.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal -1 binary64))) (.f64 x y))
(fma.f64 #s(literal -1 binary64) y (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x y))) (neg.f64 y))
(fma.f64 (/.f64 (fma.f64 x y y) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 x y) y) y) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 1 binary64)) (.f64 x y))) (neg.f64 y))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (.f64 x y))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 x y))
(fma.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 y))
(neg.f64 (/.f64 (-.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))) (.f64 y (.f64 y y))) (neg.f64 (fma.f64 y (fma.f64 x y (+.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (*.f64 (-.f64 (fma.f64 x y #s(literal 1 binary64)) y) (fma.f64 x y (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x y y)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))) (.f64 y (.f64 y y)))) (fma.f64 y (fma.f64 x y (+.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x y (+.f64 #s(literal 1 binary64) y)) (neg.f64 (-.f64 (fma.f64 x y #s(literal 1 binary64)) y))) (fma.f64 x y (+.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y #s(literal 1 binary64)) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (fma.f64 x y #s(literal 1 binary64))))) (-.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x y)))) (fma.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))
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#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
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(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
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(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
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(-.f64 (*.f64 x y) y)
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(/.f64 (neg.f64 (.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (-.f64 (.f64 x y) y))) (neg.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))))
(/.f64 (neg.f64 (.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (-.f64 (.f64 x y) y))) (neg.f64 (-.f64 (.f64 y (fma.f64 x (.f64 x y) y)) (.f64 y (.f64 y (neg.f64 x))))))
(/.f64 (neg.f64 (.f64 y (-.f64 (.f64 x (*.f64 x y)) y))) (neg.f64 (fma.f64 x y y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))) (.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (.f64 y (.f64 y y)))) (.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y y)) (.f64 (fma.f64 x y y) (.f64 y y))) (*.f64 (fma.f64 x y y) (fma.f64 x y y)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (-.f64 (.f64 x y) y)))) (neg.f64 (neg.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))))))
(/.f64 (neg.f64 (neg.f64 (.f64 y (-.f64 (.f64 x (*.f64 x y)) y)))) (neg.f64 (neg.f64 (fma.f64 x y y))))
(/.f64 (fma.f64 y (.f64 y (neg.f64 y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (fma.f64 y y (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (neg.f64 y) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))) (/.f64 (.f64 y (.f64 y y)) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))) (/.f64 (.f64 y (.f64 y y)) (.f64 y (fma.f64 x (*.f64 x y) (fma.f64 x y y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (fma.f64 x y y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y y)) (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y y)) (fma.f64 (/.f64 (.f64 y y) (fma.f64 x y y)) (/.f64 (.f64 y y) (fma.f64 x y y)) (.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y y)) (/.f64 (*.f64 y y) (fma.f64 x y y))))))
(/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (neg.f64 y) (*.f64 x y)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))) (/.f64 (.f64 y (.f64 y y)) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y)))) (/.f64 (.f64 y (.f64 y y)) (.f64 y (fma.f64 x (*.f64 x y) (fma.f64 x y y))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y y)) (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y y))) (.f64 (/.f64 (.f64 y y) (fma.f64 x y y)) (/.f64 (.f64 y y) (fma.f64 x y y)))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y y)) (/.f64 (.f64 y y) (fma.f64 x y y))))
(/.f64 (.f64 (.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (-.f64 (.f64 x y) y)) #s(literal 1 binary64)) (.f64 y (fma.f64 x (*.f64 x y) (fma.f64 x y y))))
(/.f64 (.f64 (.f64 y (-.f64 (.f64 x (.f64 x y)) y)) #s(literal 1 binary64)) (fma.f64 x y y))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) y)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) y))
(*.f64 y (-.f64 x #s(literal 1 binary64)))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (-.f64 (.f64 x y) y)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (*.f64 x y) (fma.f64 x y y)))))
(.f64 (.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (-.f64 (.f64 x y) y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (fma.f64 x (.f64 x y) y)) (.f64 y (*.f64 y (neg.f64 x))))))
(.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (.f64 (-.f64 (.f64 x y) y) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (*.f64 x y) (fma.f64 x y y))))))
(.f64 (.f64 y (-.f64 (.f64 x (.f64 x y)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
(.f64 (fma.f64 x y y) (.f64 (-.f64 (*.f64 x y) y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y))))
(.f64 (neg.f64 (.f64 (.f64 y (fma.f64 x (.f64 x y) (fma.f64 x y y))) (-.f64 (.f64 x y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (fma.f64 x (*.f64 x y) (fma.f64 x y y))))))
(.f64 (neg.f64 (.f64 y (-.f64 (.f64 x (.f64 x y)) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y y))))
(.f64 (/.f64 (fma.f64 x y y) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 x y) y) y))

eval61.0ms (0.7%)

Memory: 22.2MiB live, 140.3MiB allocated
Compiler: Compiled 8 864 to 705 computations (92% saved)

prune58.0ms (0.7%)

Memory

-22.3MiB live, 138.0MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	547	2	549
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	549	6	555

Accuracy

100.0%

Counts

555 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
✓	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
✓	58.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	42.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
▶	26.8%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))
✓	33.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 39 to 22 computations (43.6% saved)

simplify400.0ms (4.8%)

Memory

12.5MiB live, 657.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 y x (neg.f64 y))
cost-diff	0	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- (* y x) y) (neg.f64 y))
cost-diff	0	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))

Rules

28 256×	`lower-fma.f32`
28 254×	`lower-fma.f64`
3 292×	`lower-*.f64`
3 292×	`lower-*.f32`
2 596×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
0	16	53
1	29	53
2	56	53
3	144	53
4	419	49
5	1279	49
6	3230	49
7	4963	49
8	5694	49
9	5956	49
10	6147	49
11	6239	49
12	6397	49
13	6776	49
14	6982	49
15	7132	49
16	7206	49
17	7249	49
18	7381	49
19	7887	49
0	8007	47

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))
#s(approx (- (* y x) y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
(fma.f64 y x (neg.f64 y))
y
x
(neg.f64 y)

Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))
#s(approx (- (* y x) y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (*.f64 x y) y))
(fma.f64 y x (neg.f64 y))
(-.f64 (*.f64 x y) y)
y
x
(neg.f64 y)

localize35.0ms (0.4%)

Memory

17.3MiB live, 96.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	20.848915544209472	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
accuracy	0	(neg.f64 y)
accuracy	20.848915544209472	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))
accuracy	32.628112825150765	#s(approx (- (* y x) y) (neg.f64 y))

Samples

16.0ms	201×	0	valid
9.0ms	55×	1	valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sub: 5.0ms (32.4% of total)

ival-mult: 4.0ms (25.9% of total)

ival-add: 3.0ms (19.5% of total)

adjust: 2.0ms (13% of total)

ival-neg: 1.0ms (6.5% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

-29.4MiB live, 9.7MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify190.0ms (2.3%)

Memory

-9.1MiB live, 355.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 856×	`lower-fma.f64`
8 856×	`lower-fma.f32`
2 424×	`lower--.f64`
2 424×	`lower--.f32`
1 680×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	808
1	149	764
2	380	542
3	1111	542
4	4290	542
5	7119	542
0	8107	506

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite192.0ms (2.3%)

Memory

32.7MiB live, 465.1MiB allocated

Rules

6 816×	`lower-fma.f32`
6 814×	`lower-fma.f64`
3 916×	`lower-*.f64`
3 916×	`lower-*.f32`
2 864×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
0	16	48
1	82	48
2	691	41
0	8648	39

Stop Event

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

Counts

5 → 172

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))
#s(approx (- (* y x) y) (neg.f64 y))
(neg.f64 y)
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
(fma.f64 y x (neg.f64 y))

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

eval36.0ms (0.4%)

Memory: -6.4MiB live, 113.4MiB allocated
Compiler: Compiled 4 554 to 373 computations (91.8% saved)

prune36.0ms (0.4%)

Memory

-8.3MiB live, 113.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	315	1	316
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	315	7	322

Accuracy

100.0%

Counts

322 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
✓	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
✓	58.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	42.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
✓	26.8%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))
▶	2.9%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))
✓	33.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 44 to 24 computations (45.5% saved)

simplify612.0ms (7.3%)

Memory

0.4MiB live, 513.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (* y x) y) y)
cost-diff	0	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))

Rules

28 144×	`lower-fma.f64`
28 144×	`lower-fma.f32`
3 456×	`lower-*.f64`
3 456×	`lower-*.f32`
2 596×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
0	11	25
1	21	25
2	41	25
3	117	25
4	382	23
5	1319	23
6	3178	23
7	4953	23
8	5676	23
9	5940	23
10	6131	23
11	6223	23
12	6381	23
13	6760	23
14	6966	23
15	7116	23
16	7190	23
17	7233	23
18	7365	23
19	7871	23
0	8077	22

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))
#s(approx (- (* y x) y) y)
y

Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))
#s(approx (- (* y x) y) y)
y

localize64.0ms (0.8%)

Memory

6.5MiB live, 45.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	20.848915544209472	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))
accuracy	61.89284188049408	#s(approx (- (* y x) y) y)

Samples

49.0ms	201×	0	valid
7.0ms	55×	1	valid

Compiler

Compiled 17 to 11 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-add: 39.0ms (79% of total)

ival-sub: 4.0ms (8.1% of total)

ival-mult: 4.0ms (8.1% of total)

adjust: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs

#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y)) #<representation binary64>) () ())

#s(alt #s(approx (- (* y x) y) y) (patch #s(approx (- (* y x) y) y) #<representation binary64>) () ())

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

Calls

12 calls:

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

simplify185.0ms (2.2%)

Memory

10.3MiB live, 278.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 856×	`lower-fma.f64`
8 856×	`lower-fma.f32`
2 424×	`lower--.f64`
2 424×	`lower--.f32`
1 680×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	392
1	149	370
2	380	259
3	1111	259
4	4290	259
5	7119	259
0	8107	241

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite434.0ms (5.2%)

Memory

9.3MiB live, 381.7MiB allocated

Rules

6 644×	`lower-fma.f64`
6 644×	`lower-fma.f32`
3 992×	`lower-*.f64`
3 992×	`lower-*.f32`
2 976×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
0	11	24
1	64	24
2	549	24
3	6825	24
0	8116	23

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))
#s(approx (- (* y x) y) y)

Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))
#s(approx (- (* y x) y) y)

eval9.0ms (0.1%)

Memory: -37.5MiB live, 11.9MiB allocated
Compiler: Compiled 321 to 9 computations (97.2% saved)

prune4.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	50	7	57

Accuracy

100.0%

Counts

57 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
✓	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
✓	58.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	42.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
✓	26.8%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))
✓	2.9%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))
✓	33.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 100 to 39 computations (61% saved)

regimes18.0ms (0.2%)

Memory

-0.7MiB live, 35.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	y
4.0ms	x
3.0ms	(-.f64 #s(literal 1 binary64) y)
3.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes15.0ms (0.2%)

Memory

-6.6MiB live, 29.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	(-.f64 #s(literal 1 binary64) y)
3.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
90.9%	3	`x`
88.9%	3	`y`
90.8%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
87.1%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))

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

Calls

4 calls:

2.0ms	x
2.0ms	y
2.0ms	(-.f64 #s(literal 1 binary64) y)
2.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
58.6%	1	`(-.f64 #s(literal 1 binary64) y)`
58.6%	1	`y`
58.6%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
58.6%	1	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes10.0ms (0.1%)

Memory

-20.2MiB live, 17.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))

Outputs

#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))

#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))

Calls

4 calls:

4.0ms	y
2.0ms	x
2.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
2.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
39.5%	3	`x`
57.3%	3	`y`
57.3%	3	`(-.f64 #s(literal 1 binary64) y)`
57.3%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Accuracy

Total -20.2b remaining (-47.5%)

Threshold costs -20.2b (-47.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))

Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
1.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
33.6%	1	`x`
33.6%	1	`y`
33.6%	1	`(-.f64 #s(literal 1 binary64) y)`
33.6%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch143.0ms (1.7%)

Memory

1.0MiB live, 47.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.744466458407326e+31	2.8173919701881133e+35
126.0ms	-1.1386705197704803e+26	-7.344309646584321e+22

Samples

12.0ms	123×	1	valid
6.0ms	133×	0	valid

Compiler

Compiled 238 to 156 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (37.3% of total)

adjust: 3.0ms (27.9% of total)

ival-add: 2.0ms (18.6% of total)

ival-mult: 2.0ms (18.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0	14.83870583734105
0.0ms	-544002132263515.1	0.0

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	158

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
(if (<=.f64 x #s(literal -7600000000000000301989888 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 53999999999999997133120067338240 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal -500000000000000 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y))) (if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
(if (<=.f64 x #s(literal -7600000000000000301989888 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 53999999999999997133120067338240 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal -500000000000000 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y))) (if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

soundness1.0s (12.2%)

Memory

-25.4MiB live, 410.4MiB allocated

Rules

22 322×	`lower-fma.f64`
22 322×	`lower-fma.f32`
20 464×	`lower-fma.f64`
20 464×	`lower-fma.f32`
3 336×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	522
1	186	484
2	507	362
3	1832	362
4	7769	362
0	8507	344
0	76	1980
1	238	1830
2	591	1197
3	1590	1197
4	5417	1197
0	8333	1071

Stop Event

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

Compiler

Compiled 107 to 51 computations (52.3% saved)

preprocess72.0ms (0.9%)

Memory: -4.4MiB live, 156.4MiB allocated
Compiler: Compiled 178 to 72 computations (59.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample854.0ms (10.3%)

explain104.0ms (1.3%)

preprocess665.0ms (8%)

eval0.0ms (0%)

prune18.0ms (0.2%)

simplify609.0ms (7.3%)

localize38.0ms (0.5%)

series17.0ms (0.2%)

simplify313.0ms (3.8%)

rewrite239.0ms (2.9%)

eval163.0ms (2%)

prune140.0ms (1.7%)

simplify616.0ms (7.4%)

localize98.0ms (1.2%)

series10.0ms (0.1%)

simplify468.0ms (5.6%)

rewrite363.0ms (4.4%)

eval61.0ms (0.7%)

prune58.0ms (0.7%)

simplify400.0ms (4.8%)

localize35.0ms (0.4%)

series4.0ms (0.1%)

simplify190.0ms (2.3%)

rewrite192.0ms (2.3%)

eval36.0ms (0.4%)

prune36.0ms (0.4%)

simplify612.0ms (7.3%)

localize64.0ms (0.8%)

series1.0ms (0%)

simplify185.0ms (2.2%)

rewrite434.0ms (5.2%)

eval9.0ms (0.1%)

prune4.0ms (0.1%)

regimes18.0ms (0.2%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch143.0ms (1.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

soundness1.0s (12.2%)

preprocess72.0ms (0.9%)

end0.0ms (0%)

Profiling