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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample919.0ms (8.9%)

Memory

31.0MiB live, 1 297.5MiB allocated

Samples

302.0ms	6 364×	0	valid
268.0ms	1 891×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 343.0ms

adjust: 114.0ms (33.3% of total)

ival-sub: 105.0ms (30.6% of total)

ival-mult: 64.0ms (18.7% of total)

ival-add: 47.0ms (13.7% of total)

ival-true: 5.0ms (1.5% of total)

exact: 4.0ms (1.2% of total)

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

Bogosity

preprocess911.0ms (8.8%)

Memory

-30.4MiB live, 805.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	44	46
2	143	45
3	611	45
4	2108	35
5	3651	35
6	4679	35
7	5134	35
8	5399	35
9	5575	35
10	5676	35
11	5796	35
12	6119	35
13	6781	35
14	7164	35
15	7468	35
16	7845	35
0	7	9
0	11	9
1	19	9
2	38	9
3	106	9
4	361	7
5	1297	7
6	3183	7
7	4881	7
8	5607	7
9	5867	7
10	6063	7
11	6155	7
12	6313	7
13	6692	7
14	6905	7
15	7057	7
16	7133	7
17	7176	7
18	7308	7
19	7814	7
0	8020	6

Stop Event

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

Calls

Call 1

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

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

explain104.0ms (1%)

Memory

15.6MiB live, 170.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
58	4	(-112813447390328.86 -2.165714550915596e-244)	-	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))`
0	0	-	-	`y`
0	0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`	cancellation	62	0

Confusion

	Predicted +	Predicted -
+	58	0
-	4	194

Precision

0.9354838709677419

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	0
-	4	0	194

Precision?

0.9354838709677419

Recall?

1.0

Freqs

test

number	freq
0	194
1	62

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

20.0ms	394×	0	valid
12.0ms	118×	1	valid

Compiler

Compiled 76 to 32 computations (57.9% saved)

Precisions

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

ival-sub: 6.0ms (37.1% of total)

ival-mult: 4.0ms (24.7% of total)

ival-add: 3.0ms (18.6% of total)

adjust: 2.0ms (12.4% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.3%	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify632.0ms (6.1%)

Memory

13.2MiB live, 932.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	11	25
1	19	25
2	38	25
3	106	25
4	361	23
5	1297	23
6	3183	23
7	4881	23
8	5607	23
9	5867	23
10	6063	23
11	6155	23
12	6313	23
13	6692	23
14	6905	23
15	7057	23
16	7133	23
17	7176	23
18	7308	23
19	7814	23
0	8020	22

Stop Event

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

Calls

Call 1

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

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

localize60.0ms (0.6%)

Memory

-23.7MiB live, 57.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	78.3%	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Samples

9.0ms	197×	0	valid
6.0ms	59×	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 (38.4% of total)

ival-mult: 2.0ms (25.6% of total)

adjust: 1.0ms (12.8% of total)

ival-add: 1.0ms (12.8% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

4 → 72

Calls

Call 1

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

Outputs
#<alt (- 1 y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (* x (+ 1 (* -1 (- 1 y))))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (- 1 y)>
#<alt (- (+ 1 (* -1 (* x (- 1 y)))) y)>
#<alt (- (+ 1 (* -1 (* x (- 1 y)))) y)>
#<alt (- (+ 1 (* -1 (* x (- 1 y)))) y)>
#<alt (* -1 (* x (- 1 y)))>
#<alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))>
#<alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))>
#<alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))>
#<alt (* -1 (* x (- 1 y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* -1 (* y (- 1 x)))) x)>
#<alt (- (+ 1 (* -1 (* y (- 1 x)))) x)>
#<alt (- (+ 1 (* -1 (* y (- 1 x)))) x)>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))>
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))>
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>

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)))

simplify535.0ms (5.1%)

Memory

-15.1MiB live, 644.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	522
1	186	484
2	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)
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* x (+ 1 (* -1 (- 1 y))))
(*.f64 y x)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* x y)
(*.f64 y x)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+ 1 (* -1 (* y (- 1 x))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+ 1 (* -1 (* y (- 1 x))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 y x) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 y x) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 (* x (- 1 y)))) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* -1 (* x (- 1 y)))) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* -1 (* x (- 1 y)))) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- 1 y)))
(-.f64 (*.f64 y x) x)
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- 1 y)))
(-.f64 (*.f64 y x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 y x) y)
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 y x) y)
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

rewrite396.0ms (3.8%)

Memory

22.8MiB live, 371.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	22
1	52	22
2	431	22
3	5487	22
0	8681	21

Stop Event

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

Counts

4 → 523

Calls

Call 1

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

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

eval141.0ms (1.4%)

Memory: -6.7MiB live, 119.0MiB allocated
Compiler: Compiled 14 196 to 1 523 computations (89.3% saved)

prune156.0ms (1.5%)

Memory

-4.8MiB live, 152.4MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

596 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 1 y) (neg.f64 y))))
▶	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
▶	62.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (*.f64 y x) y))
▶	66.2%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
▶	35.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
▶	38.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 88 to 52 computations (40.9% saved)

simplify752.0ms (7.2%)

Memory

1.2MiB live, 946.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

30 512×	`lower-fma.f32`
30 510×	`lower-fma.f64`
3 744×	`lower-*.f32`
3 742×	`lower-*.f64`
2 596×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	102
0	22	105
1	35	105
2	58	105
3	140	105
4	418	87
5	1333	87
6	3232	87
7	4873	87
8	5579	87
9	5832	87
10	6028	87
11	6120	87
12	6278	87
13	6657	87
14	6870	87
15	7022	87
16	7098	87
17	7141	87
18	7273	87
19	7779	87
0	8231	87

Stop Event

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

Calls

Call 1

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

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

localize50.0ms (0.5%)

Memory

-11.4MiB live, 126.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.9%	(-.f64 (*.f64 y x) y)
✓	accuracy	62.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (*.f64 y x) y))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	35.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	66.2%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	38.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 y x #s(literal 1 binary64))
✓	accuracy	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
✓	accuracy	100.0%	(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)

Samples

17.0ms	197×	0	valid
11.0ms	59×	1	valid

Compiler

Compiled 83 to 13 computations (84.3% saved)

Precisions

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

ival-sub: 6.0ms (39% of total)

ival-mult: 5.0ms (32.5% of total)

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

adjust: 2.0ms (13% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

-2.8MiB live, 36.4MiB allocated

Counts

10 → 228

Calls

Call 1

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

Outputs
#<alt (- 1 y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (* x (+ 1 (* -1 (- 1 y))))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt 1>
#<alt (+ 1 (* y (- x 1)))>
#<alt (+ 1 (* y (- x 1)))>
#<alt (+ 1 (* y (- x 1)))>
#<alt (* y (- x 1))>
#<alt (* y (- (+ x (/ 1 y)) 1))>
#<alt (* y (- (+ x (/ 1 y)) 1))>
#<alt (* y (- (+ x (/ 1 y)) 1))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))>
#<alt (* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))>
#<alt (* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))>
#<alt (- 1 y)>
#<alt (- (+ 1 (* x y)) y)>
#<alt (- (+ 1 (* x y)) y)>
#<alt (- (+ 1 (* x y)) y)>
#<alt (* x y)>
#<alt (* x (- (+ y (/ 1 x)) (/ y x)))>
#<alt (* x (- (+ y (/ 1 x)) (/ y x)))>
#<alt (* x (- (+ y (/ 1 x)) (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (- 1 y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (* x (+ 1 (* -1 (- 1 y))))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (- 1 y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (* x (+ 1 (* -1 (- 1 y))))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (- 1 y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (* x (+ 1 (* -1 (- 1 y))))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (- 1 y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (* x (+ 1 (* -1 (- 1 y))))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 y)>
#<alt (- (* x y) y)>
#<alt (- (* x y) y)>
#<alt (- (* x y) y)>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>

Calls

57 calls:

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

simplify408.0ms (3.9%)

Memory

38.6MiB live, 553.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 238×	`lower-fma.f64`
13 238×	`lower-fma.f32`
2 304×	`lower-*.f64`
2 304×	`lower-*.f32`
2 006×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1980
1	238	1830
2	555	1197
3	1421	1197
4	4982	1197
0	8220	1071

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

rewrite661.0ms (6.4%)

Memory

-30.8MiB live, 642.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 136×	`lower-fma.f32`
10 134×	`lower-fma.f64`
5 448×	`lower-*.f32`
5 446×	`lower-*.f64`
4 480×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	89
0	22	89
1	96	89
2	806	89
0	9120	84

Stop Event

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

Counts

10 → 315

Calls

Call 1

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

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

eval169.0ms (1.6%)

Memory: 29.1MiB live, 158.9MiB allocated
Compiler: Compiled 9 993 to 806 computations (91.9% saved)

prune91.0ms (0.9%)

Memory

-16.2MiB live, 141.5MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	569	2	571
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	571	6	577

Accuracy

100.0%

Counts

577 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
✓	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
✓	66.2%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	35.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
▶	29.5%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))
✓	38.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 39 to 22 computations (43.6% saved)

simplify714.0ms (6.9%)

Memory

22.3MiB live, 889.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
0	16	53
1	29	53
2	56	53
3	144	53
4	410	49
5	1246	49
6	3225	49
7	4886	49
8	5599	49
9	5856	49
10	6052	49
11	6144	49
12	6302	49
13	6681	49
14	6894	49
15	7046	49
16	7122	49
17	7165	49
18	7297	49
19	7803	49
0	8009	47

Stop Event

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

Calls

Call 1

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

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

localize39.0ms (0.4%)

Memory

-1.9MiB live, 75.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	62.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	62.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))
✓	accuracy	54.8%	#s(approx (- (* y x) y) (neg.f64 y))

Samples

14.0ms	59×	1	valid
14.0ms	197×	0	valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 7.0ms (36.7% of total)

ival-sub: 4.0ms (21% of total)

adjust: 4.0ms (21% of total)

ival-add: 3.0ms (15.7% of total)

ival-neg: 1.0ms (5.2% 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

4.1MiB live, 4.1MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#<alt (- 1 y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (* x (+ 1 (* -1 (- 1 y))))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 y)>
#<alt (- (* x y) y)>
#<alt (- (* x y) y)>
#<alt (- (* x y) y)>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (- 1 y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (* x (+ 1 (* -1 (- 1 y))))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 y)>
#<alt (- (* x y) y)>
#<alt (- (* x y) y)>
#<alt (- (* x y) y)>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>

Calls

27 calls:

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

simplify252.0ms (2.4%)

Memory

0.5MiB live, 487.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 570×	`lower-fma.f64`
10 570×	`lower-fma.f32`
2 190×	`lower-*.f64`
2 190×	`lower-*.f32`
2 172×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	808
1	149	764
2	359	542
3	1043	542
4	4069	542
5	6605	542
0	8135	506

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite293.0ms (2.8%)

Memory

-0.5MiB live, 444.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
0	16	48
1	82	48
2	691	41
0	8569	39

Stop Event

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

Counts

5 → 172

Calls

Call 1

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

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

eval36.0ms (0.3%)

Memory: -7.4MiB live, 66.4MiB allocated
Compiler: Compiled 4 554 to 368 computations (91.9% saved)

prune31.0ms (0.3%)

Memory

-21.7MiB live, 57.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

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

Accuracy

100.0%

Counts

322 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
✓	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
✓	66.2%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	35.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
✓	29.5%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))
▶	2.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))
✓	38.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 44 to 24 computations (45.5% saved)

simplify920.0ms (8.9%)

Memory

51.3MiB live, 794.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

30 512×	`lower-fma.f64`
30 512×	`lower-fma.f32`
3 744×	`lower-*.f64`
3 744×	`lower-*.f32`
2 596×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
0	11	25
1	21	25
2	41	25
3	117	25
4	383	23
5	1265	23
6	3173	23
7	4852	23
8	5570	23
9	5832	23
10	6028	23
11	6120	23
12	6278	23
13	6657	23
14	6870	23
15	7022	23
16	7098	23
17	7141	23
18	7273	23
19	7779	23
0	8232	22

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Calls

Call 1

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

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

localize30.0ms (0.3%)

Memory

-11.9MiB live, 64.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	62.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))
✓	accuracy	2.9%	#s(approx (- (* y x) y) y)

Samples

13.0ms	197×	0	valid
7.0ms	59×	1	valid

Compiler

Compiled 17 to 11 computations (35.3% saved)

Precisions

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

ival-sub: 6.0ms (44.8% of total)

ival-mult: 4.0ms (29.9% of total)

adjust: 1.0ms (7.5% of total)

ival-add: 1.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

2 → 48

Calls

Call 1

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

Outputs
#<alt (- 1 y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (* x (+ 1 (* -1 (- 1 y))))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 y)>
#<alt (- (* x y) y)>
#<alt (- (* x y) y)>
#<alt (- (* x y) y)>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>

Calls

12 calls:

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

simplify252.0ms (2.4%)

Memory

-26.0MiB live, 422.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 570×	`lower-fma.f64`
10 570×	`lower-fma.f32`
2 190×	`lower-*.f64`
2 190×	`lower-*.f32`
2 172×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	392
1	149	370
2	359	259
3	1043	259
4	4069	259
5	6605	259
0	8135	241

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite402.0ms (3.9%)

Memory

30.6MiB live, 428.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
0	11	24
1	64	24
2	549	24
3	6772	24
0	8063	23

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

2 → 2

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: -30.7MiB live, 10.8MiB allocated
Compiler: Compiled 321 to 8 computations (97.5% saved)

prune4.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

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

Accuracy

100.0%

Counts

57 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
✓	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
✓	66.2%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	35.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
✓	29.5%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))
✓	2.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) y))
✓	38.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 100 to 39 computations (61% saved)

regimes15.0ms (0.1%)

Memory

-7.3MiB live, 31.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
4.0ms	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)

regimes11.0ms (0.1%)

Memory

26.9MiB live, 26.8MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
3.0ms	x
3.0ms	(-.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
89.5%	3	`x`
87.6%	3	`y`
89.4%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
87.3%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes4.0ms (0%)

Memory

-31.2MiB live, 8.2MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
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
66.2%	1	`(-.f64 #s(literal 1 binary64) y)`
66.2%	1	`y`
66.2%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
66.2%	1	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.1%)

Memory

-15.6MiB live, 22.8MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.9%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
44.5%	3	`x`
65.0%	3	`(-.f64 #s(literal 1 binary64) y)`
65.0%	3	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total -23.4b remaining (-59.7%)

Threshold costs -23.4b (-59.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	x
1.0ms	y
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
38.7%	1	`x`
38.7%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
38.7%	1	`(-.f64 #s(literal 1 binary64) y)`
38.7%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch27.0ms (0.3%)

Memory

-1.6MiB live, 39.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.039163702496451964	1.0102337656600586
17.0ms	-2.261129290010483e+36	-1.734826214718141e+33

Samples

7.0ms	178×	0	valid
5.0ms	62×	1	valid

Compiler

Compiled 238 to 154 computations (35.3% saved)

Precisions

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

ival-sub: 3.0ms (41.3% of total)

ival-mult: 2.0ms (27.6% of total)

adjust: 1.0ms (13.8% of total)

ival-add: 1.0ms (13.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch119.0ms (1.1%)

Memory

-16.0MiB live, 21.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
117.0ms	5.24943220173011e+28	7.033180956043555e+36
1.0ms	-2.261129290010483e+36	-1.734826214718141e+33

Samples

6.0ms	72×	1	valid
3.0ms	72×	0	valid

Compiler

Compiled 252 to 165 computations (34.5% saved)

Precisions

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

ival-sub: 2.0ms (33.9% of total)

adjust: 1.0ms (17% of total)

ival-add: 1.0ms (17% of total)

ival-mult: 1.0ms (17% of total)

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

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

exact: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory

28.4MiB live, 28.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0038707198916703212	211844599.01687944
12.0ms	-11.201887856106966	-1.9096711932225728e-7

Samples

11.0ms	287×	0	valid
1.0ms	11×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 242 to 164 computations (32.2% saved)

Precisions

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

ival-sub: 3.0ms (42.7% of total)

ival-mult: 2.0ms (28.5% of total)

ival-add: 1.0ms (14.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Memory

-24.3MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	191
1	45	191
2	49	191
3	50	191

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
(if (<=.f64 x #s(literal -245000000000000012606665445479546880 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 3422735716801577/18014398509481984 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))))
(if (<=.f64 x #s(literal -245000000000000012606665445479546880 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 110000000000000006409433382912 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 y #s(literal -1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y))
(if (<=.f64 x #s(literal -245000000000000012606665445479546880 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 3422735716801577/18014398509481984 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))))
(if (<=.f64 x #s(literal -245000000000000012606665445479546880 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 x y)) (if (<=.f64 x #s(literal 3422735716801577/18014398509481984 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))))
(if (<=.f64 x #s(literal -245000000000000012606665445479546880 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 110000000000000006409433382912 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))))
(if (<=.f64 x #s(literal -245000000000000012606665445479546880 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 x y)) (if (<=.f64 x #s(literal 110000000000000006409433382912 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 y #s(literal -1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- (* y x) y) (neg.f64 y)))))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

soundness1.1s (10.3%)

Memory

-20.8MiB live, 443.1MiB allocated

Rules

20 464×	`lower-fma.f64`
20 464×	`lower-fma.f32`
13 238×	`lower-fma.f64`
13 238×	`lower-fma.f32`
10 136×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	89
0	22	89
1	96	89
2	806	89
0	9120	84
0	68	522
1	186	484
2	490	362
3	1713	362
4	7522	362
0	8222	344
0	76	1980
1	238	1830
2	555	1197
3	1421	1197
4	4982	1197
0	8220	1071

Stop Event

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

Compiler

Compiled 138 to 67 computations (51.4% saved)

preprocess89.0ms (0.9%)

Memory: 5.9MiB live, 82.4MiB allocated
Compiler: Compiled 190 to 74 computations (61.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample919.0ms (8.9%)

preprocess911.0ms (8.8%)

explain104.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify632.0ms (6.1%)

localize60.0ms (0.6%)

series3.0ms (0%)

simplify535.0ms (5.1%)

rewrite396.0ms (3.8%)

eval141.0ms (1.4%)

prune156.0ms (1.5%)

simplify752.0ms (7.2%)

localize50.0ms (0.5%)

series17.0ms (0.2%)

simplify408.0ms (3.9%)

rewrite661.0ms (6.4%)

eval169.0ms (1.6%)

prune91.0ms (0.9%)

simplify714.0ms (6.9%)

localize39.0ms (0.4%)

series2.0ms (0%)

simplify252.0ms (2.4%)

rewrite293.0ms (2.8%)

eval36.0ms (0.3%)

prune31.0ms (0.3%)

simplify920.0ms (8.9%)

localize30.0ms (0.3%)

series1.0ms (0%)

simplify252.0ms (2.4%)

rewrite402.0ms (3.9%)

eval6.0ms (0.1%)

prune4.0ms (0%)

regimes15.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch27.0ms (0.3%)

bsearch119.0ms (1.1%)

bsearch26.0ms (0.3%)

simplify12.0ms (0.1%)

soundness1.1s (10.3%)

preprocess89.0ms (0.9%)

end0.0ms (0%)

Profiling