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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample943.0ms (15.2%)

Memory

-10.4MiB live, 1 030.7MiB allocated

Samples

320.0ms	6 369×	0	valid
248.0ms	1 884×	1	valid
0.0ms	3×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 327.0ms

ival-sub: 110.0ms (33.7% of total)

ival-mult: 101.0ms (30.9% of total)

ival-add: 65.0ms (19.9% of total)

adjust: 37.0ms (11.3% 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

explain92.0ms (1.5%)

Memory

0.4MiB live, 191.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
70	1	(-5017341283962.994 7.938432993302024e-47)	1	(6.970250933554466e+115 0.014137400098435787)	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	0	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))`
0	0	-	0	-	`y`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	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	70	2

Confusion

	Predicted +	Predicted -
+	69	1
-	1	185

Precision

0.9857142857142858

Recall

0.9857142857142858

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	1	0
-	1	1	184

Precision?

0.9722222222222222

Recall?

1.0

Freqs

test

number	freq
0	186
1	70

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms	374×	0	valid
16.0ms	138×	1	valid

Compiler

Compiled 65 to 25 computations (61.5% saved)

Precisions

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

ival-sub: 6.0ms (34.7% of total)

ival-mult: 4.0ms (23.2% of total)

adjust: 3.0ms (17.4% of total)

ival-add: 3.0ms (17.4% of total)

ival-true: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

preprocess458.0ms (7.4%)

Memory

-19.7MiB live, 317.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 072×	`lower-fma.f64`
14 072×	`lower-fma.f32`
1 728×	`lower-*.f32`
1 727×	`lower-*.f64`
1 298×	`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 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.2%	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify306.0ms (4.9%)

Memory

23.3MiB live, 300.8MiB 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

14 072×	`lower-fma.f64`
14 072×	`lower-fma.f32`
1 728×	`lower-*.f32`
1 727×	`lower-*.f64`
1 298×	`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

localize66.0ms (1.1%)

Memory

-4.8MiB live, 34.7MiB 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	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
accuracy	16.53221309660071	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Samples

52.0ms	187×	0	valid
7.0ms	69×	1	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-sub: 3.0ms (36.4% of total)

ival-mult: 2.0ms (24.3% of total)

adjust: 1.0ms (12.1% of total)

ival-add: 1.0ms (12.1% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

simplify253.0ms (4.1%)

Memory

-27.6MiB live, 336.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 232×	`lower-fma.f64`
10 232×	`lower-fma.f32`
1 668×	`lower-+.f64`
1 668×	`lower-+.f32`
1 323×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	522
1	186	484
2	490	362
3	1713	362
4	7522	362
0	8222	344

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite228.0ms (3.7%)

Memory

30.0MiB live, 221.6MiB allocated

Rules

2 682×	`lower-fma.f64`
2 682×	`lower-fma.f32`
1 804×	`lower-*.f32`
1 803×	`lower-*.f64`
1 106×	`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 (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x)) (.f64 (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)) (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) y) 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)))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (.f64 (.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.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) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) (.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) y))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (.f64 (.f64 y y) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 y y) y))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) y)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.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) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)))) (fma.f64 (.f64 y y) y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y))) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)))) (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 (.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 y y y) (fma.f64 y y y)) (fma.f64 y y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.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 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) y #s(literal 1 binary64))) (neg.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 y y) (/.f64 y (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)

eval152.0ms (2.5%)

Memory: -11.4MiB live, 145.2MiB allocated
Compiler: Compiled 14 196 to 1 517 computations (89.3% saved)

prune236.0ms (3.8%)

Memory

-2.9MiB live, 241.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	590	5	595
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	591	5	596

Accuracy

100.0%

Counts

596 → 5

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)))
▶	58.5%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
▶	64.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
▶	42.8%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
▶	35.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 66 to 40 computations (39.4% saved)

simplify471.0ms (7.6%)

Memory

3.0MiB live, 312.3MiB 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

14 072×	`lower-fma.f32`
14 071×	`lower-fma.f64`
1 728×	`lower-*.f32`
1 726×	`lower-*.f64`
1 298×	`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

localize89.0ms (1.4%)

Memory

-3.7MiB live, 114.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1 binary64)) y)
accuracy	22.646448522028116	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
accuracy	0	(*.f64 x y)
accuracy	36.61471484054615	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	26.570112296975072	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
accuracy	41.184476927299215	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
accuracy	0	(fma.f64 (-.f64 x #s(literal 1 binary64)) 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)))

Samples

37.0ms	69×	1	valid
35.0ms	187×	0	valid

Compiler

Compiled 82 to 13 computations (84.1% saved)

Precisions

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

ival-add: 22.0ms (63.9% of total)

ival-sub: 5.0ms (14.5% of total)

ival-mult: 5.0ms (14.5% of total)

adjust: 2.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

-8.3MiB live, 30.7MiB 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 y) (taylor 0 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 (- 1 y))))) y) (taylor 0 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 (- 1 y))))) y) (taylor 0 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>) () ())) ())
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#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 (* y (- 1 x))) (taylor inf 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 (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf 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 (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf 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 (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf 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 (* y (- 1 x))) (taylor -inf 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 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf 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 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf 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 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf 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 y) (taylor 0 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 y) (* x y)) (taylor 0 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 y) (* x y)) (taylor 0 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 y) (* x y)) (taylor 0 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 (.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 (.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>) () ())) ())
#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 (* y (- x 1)) (taylor inf 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 inf 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 inf 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 inf 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 -inf 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 -inf 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 -inf 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 -inf y) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())

Calls

54 calls:

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

simplify203.0ms (3.3%)

Memory

0.8MiB live, 292.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 558×	`lower-fma.f64`
6 558×	`lower-fma.f32`
1 097×	`lower-*.f64`
1 097×	`lower-*.f32`
1 009×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1886
1	219	1740
2	592	1123
3	1475	1123
4	5157	1123
0	8149	1015

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 214

Calls

Call 1

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

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

rewrite471.0ms (7.6%)

Memory

24.6MiB live, 302.1MiB allocated

Rules

3 659×	`lower-fma.f32`
3 658×	`lower-fma.f64`
2 154×	`lower-*.f32`
2 152×	`lower-*.f64`
1 683×	`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) (.f64 (.f64 (.f64 y y) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (fma.f64 y x (neg.f64 y))))) (fma.f64 (fma.f64 y x (neg.f64 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (.f64 (*.f64 y y) y) #s(literal -1 binary64))) (fma.f64 (fma.f64 y x (neg.f64 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 y x (neg.f64 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.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)) (fma.f64 y x (neg.f64 y))))) (fma.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)) (fma.f64 y x (neg.f64 y))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (fma.f64 y x (neg.f64 y))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (.f64 (.f64 y y) y) (.f64 (.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 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)) (.f64 (.f64 (.f64 y y) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (.f64 (.f64 y y) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (fma.f64 y x (neg.f64 y))) (fma.f64 y x (neg.f64 y)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y y) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (*.f64 y y) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x (neg.f64 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (.f64 (*.f64 y y) y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (fma.f64 (.f64 (*.f64 y y) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
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eval97.0ms (1.6%)

Memory: -35.4MiB live, 206.2MiB allocated
Compiler: Compiled 9 733 to 809 computations (91.7% saved)

prune122.0ms (2%)

Memory

22.4MiB live, 183.8MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	596	1	597
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	596	6	602

Accuracy

100.0%

Counts

602 → 6

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)))
✓	58.5%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	64.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
✓	42.8%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
▶	24.8%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
✓	35.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 39 to 23 computations (41% saved)

simplify319.0ms (5.1%)

Memory

19.3MiB live, 327.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
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

14 072×	`lower-fma.f64`
14 072×	`lower-fma.f32`
1 728×	`lower-*.f64`
1 728×	`lower-*.f32`
1 298×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
0	11	25
1	21	25
2	40	25
3	116	25
4	401	23
5	1323	23
6	3273	23
7	4957	23
8	5678	23
9	5933	23
10	6129	23
11	6221	23
12	6379	23
13	6758	23
14	6971	23
15	7123	23
16	7199	23
17	7242	23
18	7374	23
19	7880	23
0	8086	22

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

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

localize84.0ms (1.4%)

Memory

-37.9MiB live, 92.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	26.570112296975072	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
accuracy	30.874452418129188	#s(approx (- 1 y) (neg.f64 y))

Samples

68.0ms	187×	0	valid
7.0ms	69×	1	valid

Compiler

Compiled 17 to 10 computations (41.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-neg: 33.0ms (48.4% of total)

ival-add: 28.0ms (41.1% of total)

ival-sub: 3.0ms (4.4% of total)

adjust: 2.0ms (2.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

3 → 48

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>) () ())

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

Calls

12 calls:

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

simplify163.0ms (2.6%)

Memory

-4.4MiB live, 232.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 141×	`lower-fma.f64`
7 141×	`lower-fma.f32`
1 361×	`lower--.f64`
1 361×	`lower--.f32`
994×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	304
1	114	284
2	297	202
3	986	202
4	4695	202
5	6872	202
0	8202	184

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite178.0ms (2.9%)

Memory

37.8MiB live, 259.3MiB allocated

Rules

2 637×	`lower-fma.f64`
2 637×	`lower-fma.f32`
1 825×	`lower-*.f64`
1 825×	`lower-*.f32`
1 143×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
0	11	24
1	54	24
2	443	24
3	5663	24
0	8697	23

Stop Event

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

Counts

3 → 34

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)

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

eval7.0ms (0.1%)

Memory: 18.0MiB live, 18.0MiB allocated
Compiler: Compiled 558 to 59 computations (89.4% saved)

prune10.0ms (0.2%)

Memory

-17.8MiB live, 20.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	82	6	88

Accuracy

100.0%

Counts

88 → 6

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)))
✓	58.5%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	64.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
✓	42.8%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
✓	24.8%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
✓	35.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 77 to 35 computations (54.5% saved)

regimes33.0ms (0.5%)

Memory

-18.2MiB live, 41.6MiB allocated

Counts

7 → 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) (neg.f64 y)))
#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 (-.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)))

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

Calls

4 calls:

24.0ms	x
3.0ms	y
3.0ms	(-.f64 #s(literal 1 binary64) y)
3.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes12.0ms (0.2%)

Memory

-14.7MiB live, 24.1MiB allocated

Counts

5 → 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) (neg.f64 y)))
#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))

Outputs

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

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

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

Calls

4 calls:

5.0ms	x
2.0ms	y
2.0ms	(-.f64 #s(literal 1 binary64) y)
2.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
87.2%	3	`x`
89.9%	3	`y`
86.5%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
85.8%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB 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) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x 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

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
86.7%	3	`x`
68.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.5%	1	`y`
58.5%	1	`(-.f64 #s(literal 1 binary64) y)`
58.5%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
58.5%	1	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.1%)

Memory

-22.9MiB live, 16.4MiB allocated

Counts

2 → 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) (neg.f64 y)))

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:

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

Results

Accuracy	Segments	Branch
57.4%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
40.2%	3	`x`
57.4%	3	`y`
57.4%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
35.6%	1	`x`
35.6%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
35.6%	1	`y`
35.6%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch35.0ms (0.6%)

Memory

-24.6MiB live, 56.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.7841897112338717e-90	6.265556862555874e-88
15.0ms	-3.5460254686642387e-32	-1.1471843770226501e-34

Samples

12.0ms	137×	1	valid
7.0ms	119×	0	valid

Compiler

Compiled 238 to 172 computations (27.7% saved)

Precisions

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

ival-sub: 4.0ms (36% of total)

adjust: 3.0ms (27% of total)

ival-mult: 2.0ms (18% of total)

ival-add: 2.0ms (18% of total)

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

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

exact: 0.0ms (0% of total)

bsearch26.0ms (0.4%)

Memory

34.9MiB live, 34.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.7901297139106764e+29	3.664372522459087e+37
9.0ms	-3397.6562729422076	-51.30125265013076

Samples

8.0ms	192×	0	valid
6.0ms	64×	1	valid

Compiler

Compiled 238 to 156 computations (34.5% saved)

Precisions

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

ival-sub: 3.0ms (36.8% of total)

ival-mult: 2.0ms (24.5% of total)

adjust: 1.0ms (12.3% of total)

ival-add: 1.0ms (12.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	3894.718122378602
0.0ms	-31419.166134104857	0.9858625999015642

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify109.0ms (1.8%)

Memory

-25.8MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`unsub-neg_binary64`
5×	`*-commutative_binary64`
5×	`neg-mul-1_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	191
1	49	191
2	55	191
3	61	191
4	68	191
5	79	191

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 y #s(literal -63940696633227/91343852333181432387730302044767688728495783936 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 (-.f64 x #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal 4586997231980143/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))))
(if (<=.f64 x #s(literal -3350 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 x y)) (if (<=.f64 x #s(literal 2050000000000000026689732083712 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 -20000 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 y #s(literal -63940696633227/91343852333181432387730302044767688728495783936 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 (-.f64 x #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal 4586997231980143/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))))
(if (<=.f64 x #s(literal -3350 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 x y)) (if (<=.f64 x #s(literal 2050000000000000026689732083712 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 -3350 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 2050000000000000026689732083712 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 -20000 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))

soundness862.0ms (13.9%)

Memory

8.6MiB live, 358.7MiB allocated

Rules

10 232×	`lower-fma.f64`
10 232×	`lower-fma.f32`
6 558×	`lower-fma.f64`
6 558×	`lower-fma.f32`
1 668×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	522
1	186	484
2	490	362
3	1713	362
4	7522	362
0	8222	344
0	71	1886
1	219	1740
2	592	1123
3	1475	1123
4	5157	1123
0	8149	1015

Stop Event

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

Compiler

Compiled 119 to 60 computations (49.6% saved)

preprocess130.0ms (2.1%)

Memory: -15.1MiB live, 117.7MiB allocated
Compiler: Compiled 198 to 80 computations (59.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample943.0ms (15.2%)

explain92.0ms (1.5%)

preprocess458.0ms (7.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify306.0ms (4.9%)

localize66.0ms (1.1%)

series5.0ms (0.1%)

simplify253.0ms (4.1%)

rewrite228.0ms (3.7%)

eval152.0ms (2.5%)

prune236.0ms (3.8%)

simplify471.0ms (7.6%)

localize89.0ms (1.4%)

series12.0ms (0.2%)

simplify203.0ms (3.3%)

rewrite471.0ms (7.6%)

eval97.0ms (1.6%)

prune122.0ms (2%)

simplify319.0ms (5.1%)

localize84.0ms (1.4%)

series2.0ms (0%)

simplify163.0ms (2.6%)

rewrite178.0ms (2.9%)

eval7.0ms (0.1%)

prune10.0ms (0.2%)

regimes33.0ms (0.5%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch35.0ms (0.6%)

bsearch26.0ms (0.4%)

bsearch0.0ms (0%)

simplify109.0ms (1.8%)

soundness862.0ms (13.9%)

preprocess130.0ms (2.1%)

end0.0ms (0%)

Profiling