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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.1s (16.8%)

Memory

23.9MiB live, 1 413.8MiB allocated

Samples

381.0ms	1 962×	1	valid
323.0ms	6 288×	0	valid
3.0ms	6×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

ival-sub: 140.0ms (42.2% of total)

ival-mult: 88.0ms (26.6% of total)

ival-add: 50.0ms (15.1% of total)

adjust: 39.0ms (11.8% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain151.0ms (2.3%)

Memory

16.9MiB live, 138.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
67	2	(334994024.9426464 5.0603891571415036e-65)	-	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))`
0	0	-	-	`y`
0	0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	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	69	1

Confusion

	Predicted +	Predicted -
+	67	0
-	2	187

Precision

0.9710144927536232

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	0
-	2	1	186

Precision?

0.9571428571428572

Recall?

1.0

Freqs

test

number	freq
0	187
1	69

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms	378×	0	valid
41.0ms	134×	1	valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sub: 34.0ms (76.6% of total)

ival-mult: 4.0ms (9% of total)

adjust: 3.0ms (6.8% of total)

ival-add: 3.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess489.0ms (7.5%)

Memory

-20.2MiB live, 251.4MiB allocated

Algorithm

1×	egg-herbie

Rules

28 144×	`lower-fma.f64`
28 144×	`lower-fma.f32`
3 456×	`lower-*.f32`
3 454×	`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	611	45
4	2108	35
5	3651	35
6	4679	35
7	5134	35
8	5399	35
9	5575	35
10	5676	35
11	5796	35
12	6119	35
13	6781	35
14	7164	35
15	7468	35
16	7845	35
0	7	9
0	11	9
1	19	9
2	38	9
3	106	9
4	361	7
5	1297	7
6	3183	7
7	4881	7
8	5607	7
9	5867	7
10	6063	7
11	6155	7
12	6313	7
13	6692	7
14	6905	7
15	7057	7
16	7133	7
17	7176	7
18	7308	7
19	7814	7
0	8020	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)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.1%	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify384.0ms (5.9%)

Memory

21.1MiB live, 300.0MiB 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

28 144×	`lower-fma.f64`
28 144×	`lower-fma.f32`
3 456×	`lower-*.f32`
3 454×	`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	1297	23
6	3183	23
7	4881	23
8	5607	23
9	5867	23
10	6063	23
11	6155	23
12	6313	23
13	6692	23
14	6905	23
15	7057	23
16	7133	23
17	7176	23
18	7308	23
19	7814	23
0	8020	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)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
x
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) y)
y

localize29.0ms (0.4%)

Memory

8.0MiB live, 46.6MiB 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	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
accuracy	15.913139293716602	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Samples

17.0ms	189×	0	valid
7.0ms	67×	1	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 12.0ms (73% of total)

ival-mult: 2.0ms (12.2% of total)

adjust: 1.0ms (6.1% of total)

ival-add: 1.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

-32.1MiB live, 11.3MiB 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 (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 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 (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 (- 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 (-.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) (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 (- 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 (- 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 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>) () ())) ())
#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 (- 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 (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 (* 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 (* -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) (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 (* 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 (* 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 -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>) () ())) ())

Calls

6 calls:

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

simplify496.0ms (7.6%)

Memory

-16.6MiB live, 359.0MiB 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	450
1	186	412
2	490	362
3	1714	362
4	7473	362
0	8200	344

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite155.0ms (2.4%)

Memory

47.5MiB live, 276.5MiB 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	5487	22
0	8681	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 (/.f64 (-.f64 (.f64 x x) (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (+.f64 (log1p.f64 y) (log1p.f64 x))))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x) (.f64 x x)))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (+.f64 (log1p.f64 y) (log1p.f64 x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (+.f64 (log1p.f64 y) (log1p.f64 x))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x))
(.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal -1 binary64)))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)

eval79.0ms (1.2%)

Memory: -4.4MiB live, 196.9MiB allocated
Compiler: Compiled 12 187 to 1 558 computations (87.2% saved)

prune15.0ms (0.2%)

Memory

-22.4MiB live, 54.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	588	7	595
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	589	7	596

Accuracy

100.0%

Counts

596 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.8%	(+.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y) x))
	47.5%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))))
▶	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
▶	60.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
▶	64.2%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
▶	40.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
▶	36.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 102 to 86 computations (15.7% saved)

simplify293.0ms (4.5%)

Memory

-4.4MiB live, 315.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

28 144×	`lower-fma.f32`
28 142×	`lower-fma.f64`
3 456×	`lower-*.f32`
3 452×	`lower-*.f64`
2 596×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	102
0	22	102
1	36	102
2	58	102
3	135	102
4	407	87
5	1315	87
6	3229	87
7	4936	87
8	5644	87
9	5898	87
10	6094	87
11	6186	87
12	6344	87
13	6723	87
14	6936	87
15	7088	87
16	7164	87
17	7207	87
18	7339	87
19	7845	87
0	8051	87

Stop Event

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

Calls

Call 1

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

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

localize55.0ms (0.8%)

Memory

18.7MiB live, 102.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (-.f64 x #s(literal 1 binary64)) y)
accuracy	22.881806721622684	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
accuracy	0	(*.f64 x y)
accuracy	38.11941723973847	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	25.338523661806658	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
accuracy	40.92989207261514	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0.01171875	(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))

Samples

31.0ms	67×	1	valid
15.0ms	189×	0	valid

Compiler

Compiled 82 to 13 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sub: 24.0ms (70.5% of total)

ival-mult: 5.0ms (14.7% of total)

ival-add: 3.0ms (8.8% of total)

adjust: 2.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory

-6.5MiB live, 32.8MiB allocated

Counts

10 → 216

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	((+ x (* (- 1 x) (- 1 y))) (+ (* (- x 1) y) 1) (- x 1) (+ x (* (- 1 x) (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (- 1 y) (+ x (* (- 1 x) (- 1 y))) (* x y) (+ x (* (- 1 x) (- 1 y))) (* (- x 1) y))
2.0ms	y	@	-inf	((+ x (* (- 1 x) (- 1 y))) (+ (* (- x 1) y) 1) (- x 1) (+ x (* (- 1 x) (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (- 1 y) (+ x (* (- 1 x) (- 1 y))) (* x y) (+ x (* (- 1 x) (- 1 y))) (* (- x 1) y))
1.0ms	y	@	inf	((+ x (* (- 1 x) (- 1 y))) (+ (* (- x 1) y) 1) (- x 1) (+ x (* (- 1 x) (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (- 1 y) (+ x (* (- 1 x) (- 1 y))) (* x y) (+ x (* (- 1 x) (- 1 y))) (* (- x 1) y))
1.0ms	x	@	inf	((+ x (* (- 1 x) (- 1 y))) (+ (* (- x 1) y) 1) (- x 1) (+ x (* (- 1 x) (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (- 1 y) (+ x (* (- 1 x) (- 1 y))) (* x y) (+ x (* (- 1 x) (- 1 y))) (* (- x 1) y))
1.0ms	y	@	0	((+ x (* (- 1 x) (- 1 y))) (+ (* (- x 1) y) 1) (- x 1) (+ x (* (- 1 x) (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (- 1 y) (+ x (* (- 1 x) (- 1 y))) (* x y) (+ x (* (- 1 x) (- 1 y))) (* (- x 1) y))

simplify130.0ms (2%)

Memory

-6.3MiB live, 224.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 116×	`lower-fma.f64`
13 116×	`lower-fma.f32`
2 194×	`lower-*.f64`
2 194×	`lower-*.f32`
2 018×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1231
1	219	1123
2	592	1123
3	1470	1123
4	5168	1123
0	8217	1015

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 214

Calls

Call 1

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

rewrite209.0ms (3.2%)

Memory

24.1MiB live, 344.6MiB allocated

Rules

7 318×	`lower-fma.f32`
7 316×	`lower-fma.f64`
4 308×	`lower-*.f32`
4 304×	`lower-*.f64`
3 366×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	88
0	22	88
1	87	88
2	674	88
3	7992	88
0	8601	83

Stop Event

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

Counts

10 → 289

Calls

Call 1

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

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

eval81.0ms (1.2%)

Memory: -13.8MiB live, 262.3MiB allocated
Compiler: Compiled 8 518 to 1 216 computations (85.7% saved)

prune265.0ms (4.1%)

Memory

13.8MiB live, 53.4MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	594	3	597
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	597	7	604

Accuracy

100.0%

Counts

604 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
▶	64.2%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
▶	60.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
✓	60.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	40.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
▶	26.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
✓	36.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 35 to 36 computations (-2.9% saved)

simplify216.0ms (3.3%)

Memory

-21.5MiB live, 267.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
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	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	#s(approx (+ x (* (- 1 x) (- 1 y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- 1 y) (neg.f64 y))
cost-diff	0	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))

Rules

18 958×	`lower-fma.f32`
18 956×	`lower-fma.f64`
2 262×	`lower-*.f64`
2 262×	`lower-*.f32`
2 252×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	83
0	22	75
1	38	75
2	75	75
3	210	75
4	589	69
5	1465	69
6	3394	69
7	5898	69
8	6962	69
9	7405	69
10	7609	69
11	7701	69
12	7829	69
0	8237	66

Stop Event

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

Calls

Call 1

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

localize41.0ms (0.6%)

Memory

24.1MiB live, 105.9MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	22.877900471622684	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
accuracy	0.07650375976844202	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
accuracy	25.086144313340487	#s(approx (+ x (* (- 1 x) (- 1 y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
accuracy	0	(neg.f64 y)
accuracy	25.086144313340487	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
accuracy	32.66048840439115	#s(approx (- 1 y) (neg.f64 y))

Samples

16.0ms	188×	0	valid
15.0ms	66×	1	valid
1.0ms	2×	5	exit

Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 4.0ms (22.2% of total)

ival-mult: 4.0ms (22.2% of total)

ival-sub: 3.0ms (16.7% of total)

adjust: 3.0ms (16.7% of total)

ival-add: 3.0ms (16.7% of total)

ival-neg: 1.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

-14.1MiB live, 25.0MiB allocated

Counts

9 → 156

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	((+ x (* (- 1 x) (- 1 y))) (- 1 y) (neg y) (/ 1 (/ 1 (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (/ 1 (- 1 y)) (- 1 y) (+ x (* (- 1 x) (- 1 y))) (+ (* y x) (neg y)))
1.0ms	y	@	-inf	((+ x (* (- 1 x) (- 1 y))) (- 1 y) (neg y) (/ 1 (/ 1 (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (/ 1 (- 1 y)) (- 1 y) (+ x (* (- 1 x) (- 1 y))) (+ (* y x) (neg y)))
1.0ms	y	@	inf	((+ x (* (- 1 x) (- 1 y))) (- 1 y) (neg y) (/ 1 (/ 1 (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (/ 1 (- 1 y)) (- 1 y) (+ x (* (- 1 x) (- 1 y))) (+ (* y x) (neg y)))
0.0ms	x	@	-inf	((+ x (* (- 1 x) (- 1 y))) (- 1 y) (neg y) (/ 1 (/ 1 (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (/ 1 (- 1 y)) (- 1 y) (+ x (* (- 1 x) (- 1 y))) (+ (* y x) (neg y)))
0.0ms	x	@	inf	((+ x (* (- 1 x) (- 1 y))) (- 1 y) (neg y) (/ 1 (/ 1 (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (/ 1 (- 1 y)) (- 1 y) (+ x (* (- 1 x) (- 1 y))) (+ (* y x) (neg y)))

simplify192.0ms (2.9%)

Memory

-7.5MiB live, 226.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 204×	`lower-fma.f64`
17 204×	`lower-fma.f32`
2 264×	`lower-+.f64`
2 264×	`lower-+.f32`
1 990×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	869
1	235	797
2	582	763
3	1677	763
4	6342	763
0	8229	707

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite209.0ms (3.2%)

Memory

19.7MiB live, 387.5MiB allocated

Rules

8 158×	`lower-fma.f32`
8 156×	`lower-fma.f64`
4 582×	`lower-*.f64`
4 582×	`lower-*.f32`
3 676×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	76
0	22	68
1	96	68
2	750	63
0	9165	59

Stop Event

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

Counts

9 → 454

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) 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 (- 1 y) y))
#s(approx (- 1 y) y)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y y) y)
(/.f64 y #s(literal -1 binary64))
(/.f64 y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) y)
y
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (fma.f64 y y 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 (-.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(.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 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(.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 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 y))))
(.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 y))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 y))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (exp.f64 (neg.f64 (log1p.f64 y))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(.f64 (exp.f64 (neg.f64 (log1p.f64 y))) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 y))) (exp.f64 (neg.f64 (log1p.f64 y)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 y))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 y y))) (exp.f64 (neg.f64 (log1p.f64 y))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (exp.f64 (neg.f64 (log1p.f64 y)))) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (exp.f64 (neg.f64 (log1p.f64 y)))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 y y))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 (log1p.f64 y))) (exp.f64 (neg.f64 (log1p.f64 y)))) (.f64 (/.f64 (.f64 y y) (-.f64 #s(literal -1 binary64) y)) (/.f64 (.f64 y y) (-.f64 #s(literal -1 binary64) y)))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))
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(/.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y y)) y)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (.f64 (.f64 y x) (/.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 y x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 y (fma.f64 y x y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y x) (/.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 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (.f64 (.f64 y x) (/.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 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (/.f64 y (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 y y) (.f64 #s(literal 0 binary64) (fma.f64 y x y)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x y)) (.f64 (fma.f64 y x y) (.f64 y y))) (fma.f64 y y (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (fma.f64 y y (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x y))
(/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y (fma.f64 y x y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64))))
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)))
(neg.f64 (fma.f64 y x y))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y y (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x y) (/.f64 y (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 x x) y) y) (/.f64 y (-.f64 x #s(literal -1 binary64))) (/.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 x) y) (/.f64 (.f64 y x) (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x y) (/.f64 (.f64 (.f64 y y) x) (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 y y) (/.f64 (.f64 (.f64 x x) y) (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) y y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 y x))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) y) (.f64 y x))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x) (fma.f64 y x y))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) y)
(fma.f64 #s(literal -1 binary64) y (*.f64 y x))
(fma.f64 (*.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64))))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) y)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) 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 (neg.f64 x) y)
(fma.f64 y #s(literal -1 binary64) (*.f64 y x))
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64) (fma.f64 y x y))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 x y y)
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 y (-.f64 x #s(literal -1 binary64))) (.f64 (.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(-.f64 (.f64 (.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (/.f64 y (-.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 y x y))
(-.f64 (*.f64 y x) y)
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y x y))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y x y))
(+.f64 (.f64 (.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (/.f64 y (-.f64 x #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 y x y))
(+.f64 (*.f64 y x) y)
(+.f64 y (*.f64 y x))

eval110.0ms (1.7%)

Memory: -1.3MiB live, 264.7MiB allocated
Compiler: Compiled 9 063 to 1 515 computations (83.3% saved)

prune51.0ms (0.8%)

Memory

-27.4MiB live, 101.6MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	640	3	643
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	641	9	650

Accuracy

100.0%

Counts

650 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
✓	64.2%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
▶	26.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))))
✓	60.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
▶	35.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (+.f64 y #s(literal 1 binary64)))
✓	40.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
✓	26.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
▶	2.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
✓	36.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 41 to 46 computations (-12.2% saved)

simplify281.0ms (4.3%)

Memory

29.9MiB live, 301.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

28 176×	`lower-fma.f64`
28 176×	`lower-fma.f32`
3 488×	`lower-*.f64`
3 488×	`lower-*.f32`
2 612×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	86
0	20	86
1	29	86
2	47	86
3	115	86
4	371	80
5	1302	80
6	3208	80
7	4912	80
8	5633	80
9	5900	80
10	6098	80
11	6190	80
12	6348	80
13	6727	80
14	6940	80
15	7092	80
16	7168	80
17	7211	80
18	7343	80
19	7849	80
0	8055	77

Stop Event

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

Calls

Call 1

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

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

localize41.0ms (0.6%)

Memory

1.5MiB live, 122.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.07650375976844202	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y)))
accuracy	25.086144313340487	#s(approx (+ x (* (- 1 x) (- 1 y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))))
accuracy	32.84375368427804	#s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	40.838772722096614	#s(approx (+ x (* (- 1 x) (- 1 y))) (+.f64 y #s(literal 1 binary64)))
accuracy	25.086144313340487	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
accuracy	61.99022471923964	#s(approx (- 1 y) y)

Samples

19.0ms	188×	0	valid
13.0ms	66×	1	valid
1.0ms	2×	5	exit

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 6.0ms (35% of total)

ival-sub: 5.0ms (29.2% of total)

adjust: 2.0ms (11.7% of total)

ival-mult: 2.0ms (11.7% of total)

ival-add: 2.0ms (11.7% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

-20.3MiB live, 19.0MiB allocated

Counts

8 → 132

Calls

Call 1

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

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

Calls

6 calls:

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

simplify174.0ms (2.7%)

Memory

12.3MiB live, 257.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18 418×	`lower-fma.f64`
18 418×	`lower-fma.f32`
2 518×	`lower-*.f64`
2 518×	`lower-*.f32`
2 304×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	762
1	191	692
2	481	660
3	1553	660
4	6151	660
0	8183	604

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 130

Calls

Call 1

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

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

rewrite170.0ms (2.6%)

Memory

10.9MiB live, 212.2MiB allocated

Rules

6 370×	`lower-fma.f64`
6 370×	`lower-fma.f32`
3 872×	`lower-*.f64`
3 872×	`lower-*.f32`
3 082×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	80
0	20	80
1	89	80
2	623	80
3	7175	80
0	8995	77

Stop Event

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

Counts

8 → 120

Calls

Call 1

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

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

eval30.0ms (0.5%)

Memory: -15.0MiB live, 60.3MiB allocated
Compiler: Compiled 2 378 to 455 computations (80.9% saved)

prune12.0ms (0.2%)

Memory

-10.4MiB live, 28.4MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	250	9	259

Accuracy

100.0%

Counts

259 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
✓	64.2%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
✓	26.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))))
✓	60.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	35.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (+.f64 y #s(literal 1 binary64)))
✓	40.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
✓	26.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
✓	2.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
✓	36.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 133 to 87 computations (34.6% saved)

regimes22.0ms (0.3%)

Memory

-5.8MiB live, 39.9MiB allocated

Counts

14 → 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 (- 1 y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (+.f64 y #s(literal 1 binary64)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y) x))
#s(approx (+ x (* (- 1 x) (- 1 y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))))

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

Calls

4 calls:

8.0ms	x
5.0ms	y
4.0ms	(-.f64 #s(literal 1 binary64) y)
4.0ms	(+.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 14 to 15 computations (-7.1% saved)

regimes13.0ms (0.2%)

Memory

29.1MiB live, 29.1MiB allocated

Counts

8 → 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 (- 1 y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (+.f64 y #s(literal 1 binary64)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
89.8%	3	`x`
85.3%	3	`y`
89.5%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
83.3%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes12.0ms (0.2%)

Memory

-13.4MiB live, 25.2MiB allocated

Counts

5 → 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 (- 1 y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (+.f64 y #s(literal 1 binary64)))
#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:

4.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
3.0ms	x
2.0ms	y
2.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
60.4%	1	`(-.f64 #s(literal 1 binary64) y)`
60.4%	1	`y`
60.4%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
60.4%	1	`x`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes9.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

4 → 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 (- 1 y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (+.f64 y #s(literal 1 binary64)))

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

Calls

4 calls:

2.0ms	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
39.8%	3	`x`
59.3%	3	`y`
59.3%	3	`(-.f64 #s(literal 1 binary64) y)`
59.3%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes8.0ms (0.1%)

Memory

-20.4MiB live, 18.9MiB allocated

Accuracy

Total -21.7b remaining (-53%)

Threshold costs -21.7b (-53%)

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 (- 1 y) y))

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

Calls

4 calls:

3.0ms	(-.f64 #s(literal 1 binary64) y)
2.0ms	x
2.0ms	y
1.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
36.0%	1	`x`
36.0%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
36.0%	1	`y`
36.0%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch21.0ms (0.3%)

Memory

-5.3MiB live, 33.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	9.092534741057612e+26	2.4510941078635165e+31
4.0ms	-5.967363082337144e+42	-5.271318775046407e+42

Samples

9.0ms	85×	1	valid
3.0ms	75×	0	valid

Compiler

Compiled 92 to 122 computations (-32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

adjust: 4.0ms (45.5% of total)

ival-mult: 2.0ms (22.8% of total)

ival-sub: 2.0ms (22.8% of total)

ival-add: 1.0ms (11.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000026117637	13225.639195736872
0.0ms	-2508871.1011788533	0.9998874094156893

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify48.0ms (0.7%)

Memory

-13.9MiB live, 68.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	142
1	40	142
2	46	142
3	52	142
4	59	142
5	70	142

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -5500000000000000014757662363408740776935424 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 x y)) (if (<=.f64 x #s(literal 6799999999999999980404211712 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -5500000000000000014757662363408740776935424 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 x y)) (if (<=.f64 x #s(literal 6799999999999999980404211712 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))))
(if (<=.f64 x #s(literal -5500000000000000014757662363408740776935424 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 6799999999999999980404211712 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 #s(literal 1 binary64) y) #s(literal -2000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

soundness754.0ms (11.6%)

Memory

14.8MiB live, 370.8MiB allocated

Rules

20 464×	`lower-fma.f64`
20 464×	`lower-fma.f32`
13 116×	`lower-fma.f64`
13 116×	`lower-fma.f32`
3 336×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	450
1	186	412
2	490	362
3	1714	362
4	7473	362
0	8200	344
0	71	1231
1	219	1123
2	592	1123
3	1470	1123
4	5168	1123
0	8217	1015

Stop Event

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

Compiler

Compiled 75 to 54 computations (28% saved)

preprocess119.0ms (1.8%)

Memory: -4.1MiB live, 113.3MiB allocated
Compiler: Compiled 142 to 78 computations (45.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (16.8%)

explain151.0ms (2.3%)

preprocess489.0ms (7.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify384.0ms (5.9%)

localize29.0ms (0.4%)

series15.0ms (0.2%)

simplify496.0ms (7.6%)

rewrite155.0ms (2.4%)

eval79.0ms (1.2%)

prune15.0ms (0.2%)

simplify293.0ms (4.5%)

localize55.0ms (0.8%)

series32.0ms (0.5%)

simplify130.0ms (2%)

rewrite209.0ms (3.2%)

eval81.0ms (1.2%)

prune265.0ms (4.1%)

simplify216.0ms (3.3%)

localize41.0ms (0.6%)

series9.0ms (0.1%)

simplify192.0ms (2.9%)

rewrite209.0ms (3.2%)

eval110.0ms (1.7%)

prune51.0ms (0.8%)

simplify281.0ms (4.3%)

localize41.0ms (0.6%)

series8.0ms (0.1%)

simplify174.0ms (2.7%)

rewrite170.0ms (2.6%)

eval30.0ms (0.5%)

prune12.0ms (0.2%)

regimes22.0ms (0.3%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch21.0ms (0.3%)

bsearch1.0ms (0%)

simplify48.0ms (0.7%)

soundness754.0ms (11.6%)

preprocess119.0ms (1.8%)

end0.0ms (0%)

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