Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, C

analyze16.0ms (0.2%)

Memory

14.2MiB live, 53.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
79.7%	79.6%	20.3%	0.1%	0%	0%	0%	7
83.6%	83.5%	16.4%	0.1%	0%	0%	0%	8
90.2%	90.1%	9.8%	0.1%	0%	0%	0%	9
92%	91.9%	8%	0.1%	0%	0%	0%	10
95.2%	95.1%	4.8%	0.1%	0%	0%	0%	11
96%	96%	4%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample762.0ms (7.8%)

Memory

24.2MiB live, 924.4MiB allocated

Samples

478.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-sub: 99.0ms (45.9% of total)

ival-div: 59.0ms (27.3% of total)

ival-add: 43.0ms (19.9% of total)

ival-true: 6.0ms (2.8% of total)

exact: 5.0ms (2.3% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess119.0ms (1.2%)

Memory

-4.0MiB live, 72.9MiB allocated

Algorithm

2×	egg-herbie

Rules

464×	`accelerator-lowering-fma.f32`
464×	`accelerator-lowering-fma.f64`
314×	`unsub-neg`
272×	`div-sub`
270×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	60
1	78	56
2	183	55
3	517	54
4	1143	54
5	1706	54
6	1978	54
7	2086	54
8	2144	54
9	2157	54
0	7	9
1	17	9
2	34	9
3	75	9
4	182	9
5	342	9
6	612	9
7	900	9
8	944	9
9	960	9
10	961	9
0	961	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(/ (- x y) (- 2 (+ x y)))
(/ (- (neg x) y) (- 2 (+ (neg x) y)))
(/ (- x (neg y)) (- 2 (+ x (neg y))))
(neg (/ (- (neg x) y) (- 2 (+ (neg x) y))))
(neg (/ (- x (neg y)) (- 2 (+ x (neg y)))))
(/ (- y x) (- 2 (+ y x)))

Outputs
(/ (- x y) (- 2 (+ x y)))
(/ (- x y) (- (- 2 x) y))
(/ (- (neg x) y) (- 2 (+ (neg x) y)))
(/ (+ x y) (+ y (- -2 x)))
(/ (- x (neg y)) (- 2 (+ x (neg y))))
(/ (+ x y) (+ y (- 2 x)))
(neg (/ (- (neg x) y) (- 2 (+ (neg x) y))))
(/ (+ x y) (+ x (- 2 y)))
(neg (/ (- x (neg y)) (- 2 (+ x (neg y)))))
(/ (+ x y) (+ x (- -2 y)))
(/ (- y x) (- 2 (+ y x)))
(/ (- x y) (+ y (+ x -2)))

explain123.0ms (1.3%)

Memory

20.1MiB live, 138.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(-.f64 x y)`
-	-	`(+.f64 x y)`
-	-	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`
-	-	`(-.f64 #s(literal 2 binary64) (+.f64 x y))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

44.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 5.0ms (42.4% of total)

ival-div: 3.0ms (25.4% of total)

ival-add: 3.0ms (25.4% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify33.0ms (0.3%)

Memory

-10.2MiB live, 29.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	cost-diff	(-.f64 x y)
✓	cost-diff	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Rules

464×	`accelerator-lowering-fma.f32`
464×	`accelerator-lowering-fma.f64`
224×	`-lowering-.f32`
224×	`-lowering-.f64`
152×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	17	23
2	34	23
3	75	23
4	182	23
5	342	23
6	612	23
7	900	23
8	944	23
9	960	23
10	961	23
0	961	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize33.0ms (0.3%)

Memory

-25.5MiB live, 29.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Samples

25.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-sub: 2.0ms (34.3% of total)

ival-div: 2.0ms (34.3% of total)

ival-add: 1.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/ (- x y) (- 2 (+ x y)))>
#<alt (- x y)>
#<alt (- 2 (+ x y))>
#<alt (+ x y)>

Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

24 calls:

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

rewrite910.0ms (9.3%)

Memory

27.6MiB live, 375.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 750×	`accelerator-lowering-fma.f32`
4 750×	`accelerator-lowering-fma.f64`
4 670×	`-lowering-.f32`
4 670×	`-lowering-.f64`
4 200×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	56	20
2	521	20
3	7745	20
0	8467	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 607

Calls

Call 1

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

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

simplify484.0ms (4.9%)

Memory

-11.5MiB live, 628.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 038×	`accelerator-lowering-fma.f32`
12 038×	`accelerator-lowering-fma.f64`
4 472×	`-lowering-.f32`
4 472×	`-lowering-.f64`
2 680×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	985
1	571	921
2	1809	857
3	7607	851
0	8573	806

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

eval85.0ms (0.9%)

Memory: 6.6MiB live, 238.7MiB allocated
Compiler: Compiled 19 591 to 1 839 computations (90.6% saved)

prune136.0ms (1.4%)

Memory

-28.5MiB live, 261.1MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	691	12	703
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	691	13	704

Accuracy

100.0%

Counts

704 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	65.6%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
	38.7%	(/.f64 (-.f64 x y) (neg.f64 y))
▶	35.9%	(/.f64 (-.f64 x y) (neg.f64 x))
	58.2%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))
	53.2%	(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	52.9%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶	49.4%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
	51.5%	(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
	38.4%	#s(literal 1 binary64)
▶	35.8%	#s(literal -1 binary64)

Compiler

Compiled 265 to 165 computations (37.7% saved)

simplify73.0ms (0.7%)

Memory

34.3MiB live, 112.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(/.f64 (-.f64 x y) (neg.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	cost-diff	1088	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))

Rules

800×	`accelerator-lowering-fma.f32`
800×	`accelerator-lowering-fma.f64`
464×	`-lowering-.f32`
464×	`-lowering-.f64`
350×	`times-frac`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	16	80
1	37	80
2	79	79
3	167	79
4	389	79
5	866	75
6	1381	73
7	1547	73
8	1621	73
9	1674	73
10	1680	73
0	1680	73

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize59.0ms (0.6%)

Memory

15.5MiB live, 127.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (neg.f64 x))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	accuracy	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
✓	accuracy	100.0%	(/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Samples

37.0ms	254×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 82 to 18 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 13.0ms (53.2% of total)

ival-div: 8.0ms (32.8% of total)

ival-add: 1.0ms (4.1% of total)

ival-neg: 1.0ms (4.1% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series41.0ms (0.4%)

Memory

-37.4MiB live, 45.6MiB allocated

Counts

12 → 240

Calls

Call 1

Inputs
#<alt (- (/ x (- 2 (+ x y))) (/ y (- 2 (+ x y))))>
#<alt (/ x (- 2 (+ x y)))>
#<alt (- 2 (+ x y))>
#<alt (+ x y)>
#<alt (/ x (- 2 x))>
#<alt (- 2 x)>
#<alt (/ (- x y) (neg x))>
#<alt (- x y)>
#<alt (neg x)>
#<alt (/ (- x y) (- 2 y))>
#<alt (- 2 y)>
#<alt (/ y (- 2 (+ x y)))>

Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (/ 1 (- 2 y)))) (/ y (- 2 y)))>
#<alt (- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))) (/ y (- 2 y)))>
#<alt (- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 4))) (/ 1 (pow (- 2 y) 3)))) (/ 1 (pow (- 2 y) 2))))) (/ 1 (- 2 y))))) (/ y (- 2 y)))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ 1 x)))))>
#<alt (- (+ (/ y x) (/ (* y (- 2 y)) (pow x 2))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))))>
#<alt (- (+ (/ y x) (+ (/ (* y (- 2 y)) (pow x 2)) (/ (* y (pow (- 2 y) 2)) (pow x 3)))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (* 2 (/ 1 x)))))))>
#<alt -1>
#<alt (- (* -1 (/ (- 2 (* 2 y)) x)) 1)>
#<alt (- (* -1 (/ (- (+ 2 (* -1 (/ (+ (* y (- 2 y)) (* (- 2 y) (- y 2))) x))) (* 2 y)) x)) 1)>
#<alt (- (* -1 (/ (- (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (- 2 y) 2))) (* -1 (* (pow (- 2 y) 2) (- y 2)))) x)) (+ (* y (- 2 y)) (* (- 2 y) (- y 2)))) x))) (* 2 y)) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) (+ (/ x y) (/ (* x (- 2 x)) (pow y 2))))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (* 2 (/ 1 y)))))) (+ (/ x y) (+ (/ (* x (- 2 x)) (pow y 2)) (/ (* x (pow (- 2 x) 2)) (pow y 3)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (+ (/ (* x (- 2 x)) y) (/ (* (- 2 x) (- x 2)) y))) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y))) (+ (* x (- 2 x)) (* (- 2 x) (- x 2)))) y)) (* 2 x)) 2) y)))>
#<alt (/ x (- 2 y))>
#<alt (* x (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))))>
#<alt (* x (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y))))>
#<alt (* x (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* -1 (/ (- 2 y) x)) 1)>
#<alt (- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (pow (- 2 y) 2)) x)) (* -1 (- 2 y))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (/ x (- 2 x)) (/ (* x y) (pow (- 2 x) 2)))>
#<alt (+ (* y (- (/ (* x y) (pow (- 2 x) 3)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (/ (* x y) (pow (- 2 x) 4)) (* -1 (/ x (pow (- 2 x) 3))))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y)>
#<alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y)>
#<alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ (+ x (/ (* x (- 2 x)) y)) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)>
#<alt 2>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 x)) x)>
#<alt (/ (+ y (* -1 x)) x)>
#<alt (/ (+ y (* -1 x)) x)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (/ y x)>
#<alt (* y (- (/ 1 x) (/ 1 y)))>
#<alt (* y (- (/ 1 x) (/ 1 y)))>
#<alt (* y (- (/ 1 x) (/ 1 y)))>
#<alt (/ y x)>
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))>
#<alt (/ x (- 2 y))>
#<alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))>
#<alt (/ x (- 2 y))>
#<alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x)))))>
#<alt (+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x)))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y))))>
#<alt (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y)))))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) y)))>
#<alt 2>
#<alt (+ 2 (* -1 y))>
#<alt (+ 2 (* -1 y))>
#<alt (+ 2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (/ y (- 2 x))>
#<alt (* y (+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2))))>
#<alt (* y (+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x))))>
#<alt (* y (+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (* 2 (/ 1 y))))>
#<alt (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y))))>
#<alt (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y)))))>
#<alt -1>
#<alt (- (* -1 (/ (- 2 x) y)) 1)>
#<alt (- (* -1 (/ (- (/ (pow (- 2 x) 2) y) (* -1 (- 2 x))) y)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 x) 3) y)) (pow (- 2 x) 2)) y)) (* -1 (- 2 x))) y)) 1)>
#<alt (/ y (- 2 y))>
#<alt (+ (/ y (- 2 y)) (/ (* x y) (pow (- 2 y) 2)))>
#<alt (+ (* x (- (/ (* x y) (pow (- 2 y) 3)) (* -1 (/ y (pow (- 2 y) 2))))) (/ y (- 2 y)))>
#<alt (+ (* x (- (* x (- (/ (* x y) (pow (- 2 y) 4)) (* -1 (/ y (pow (- 2 y) 3))))) (* -1 (/ y (pow (- 2 y) 2))))) (/ y (- 2 y)))>
#<alt (* -1 (/ y x))>
#<alt (/ (+ (* -1 y) (* -1 (/ (* y (- 2 y)) x))) x)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (- 2 y) 2)) (pow x 2)))) (/ (* y (- 2 y)) x)) x)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (- 2 y) 3)) (pow x 3)))) (+ (/ (* y (- 2 y)) x) (/ (* y (pow (- 2 y) 2)) (pow x 2)))) x)>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ (+ y (/ (* y (- 2 y)) x)) x))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (- 2 y) 2)) x)) (* y (- 2 y))) x))) x))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- 2 y) 3)) x) (* -1 (* y (pow (- 2 y) 2)))) x)) (* y (- 2 y))) x))) x))>

Calls

60 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	(- (/ x (- 2 (+ x y))) (/ y (- 2 (+ x y))))
1.0ms	x	@	inf	(/ (- x y) (neg x))
1.0ms	x	@	inf	(- (/ x (- 2 (+ x y))) (/ y (- 2 (+ x y))))
1.0ms	y	@	inf	(/ y (- 2 (+ x y)))
1.0ms	x	@	-inf	(- (/ x (- 2 (+ x y))) (/ y (- 2 (+ x y))))

rewrite438.0ms (4.5%)

Memory

27.1MiB live, 736.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 270×	`/-lowering-/.f32`
5 270×	`/-lowering-/.f64`
4 934×	`-lowering-.f32`
4 934×	`-lowering-.f64`
2 604×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	132	60
2	1347	60
0	8646	60

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 629

Calls

Call 1

Inputs
(- (/ x (- 2 (+ x y))) (/ y (- 2 (+ x y))))
(/ x (- 2 (+ x y)))
(- 2 (+ x y))
(+ x y)
(/ x (- 2 x))
(- 2 x)
(/ (- x y) (neg x))
(- x y)
(neg x)
(/ (- x y) (- 2 y))
(- 2 y)
(/ y (- 2 (+ x y)))

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

simplify512.0ms (5.2%)

Memory

-235.7MiB live, 592.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 528×	`accelerator-lowering-fma.f32`
9 528×	`accelerator-lowering-fma.f64`
4 134×	`-lowering-.f32`
4 134×	`-lowering-.f64`
3 544×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	522	2651
1	1680	2468
2	5215	2356
0	8242	2261

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* -1 (/ y (- 2 y)))
(- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (/ 1 (- 2 y)))) (/ y (- 2 y)))
(- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))) (/ y (- 2 y)))
(- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 4))) (/ 1 (pow (- 2 y) 3)))) (/ 1 (pow (- 2 y) 2))))) (/ 1 (- 2 y))))) (/ y (- 2 y)))
-1
(- (/ y x) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ 1 x)))))
(- (+ (/ y x) (/ (* y (- 2 y)) (pow x 2))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))))
(- (+ (/ y x) (+ (/ (* y (- 2 y)) (pow x 2)) (/ (* y (pow (- 2 y) 2)) (pow x 3)))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (* 2 (/ 1 x)))))))
-1
(- (* -1 (/ (- 2 (* 2 y)) x)) 1)
(- (* -1 (/ (- (+ 2 (* -1 (/ (+ (* y (- 2 y)) (* (- 2 y) (- y 2))) x))) (* 2 y)) x)) 1)
(- (* -1 (/ (- (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (- 2 y) 2))) (* -1 (* (pow (- 2 y) 2) (- y 2)))) x)) (+ (* y (- 2 y)) (* (- 2 y) (- y 2)))) x))) (* 2 y)) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
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(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (* 2 (/ 1 y)))))) (+ (/ x y) (+ (/ (* x (- 2 x)) (pow y 2)) (/ (* x (pow (- 2 x) 2)) (pow y 3)))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (+ (/ (* x (- 2 x)) y) (/ (* (- 2 x) (- x 2)) y))) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y))) (+ (* x (- 2 x)) (* (- 2 x) (- x 2)))) y)) (* 2 x)) 2) y)))
(/ x (- 2 y))
(* x (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))))
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(- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x)))))
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(- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (pow (- 2 y) 2)) x)) (* -1 (- 2 y))) x)) 1)
(/ x (- 2 x))
(+ (/ x (- 2 x)) (/ (* x y) (pow (- 2 x) 2)))
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(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y)
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(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
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(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
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(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
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x
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x
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y
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(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
-1
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(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
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(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
2
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(+ 2 (* -1 x))
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(* -1 (* x (- 1 (* 2 (/ 1 x)))))
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(/ y x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
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(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
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1
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(- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))
1
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(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) y)))
2
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(+ 2 (* -1 y))
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(- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y))))
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-1
(- (* -1 (/ (- 2 x) y)) 1)
(- (* -1 (/ (- (/ (pow (- 2 x) 2) y) (* -1 (- 2 x))) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 x) 3) y)) (pow (- 2 x) 2)) y)) (* -1 (- 2 x))) y)) 1)
(/ y (- 2 y))
(+ (/ y (- 2 y)) (/ (* x y) (pow (- 2 y) 2)))
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(+ (* x (- (* x (- (/ (* x y) (pow (- 2 y) 4)) (* -1 (/ y (pow (- 2 y) 3))))) (* -1 (/ y (pow (- 2 y) 2))))) (/ y (- 2 y)))
(* -1 (/ y x))
(/ (+ (* -1 y) (* -1 (/ (* y (- 2 y)) x))) x)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (- 2 y) 2)) (pow x 2)))) (/ (* y (- 2 y)) x)) x)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (- 2 y) 3)) (pow x 3)))) (+ (/ (* y (- 2 y)) x) (/ (* y (pow (- 2 y) 2)) (pow x 2)))) x)
(* -1 (/ y x))
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(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- 2 y) 3)) x) (* -1 (* y (pow (- 2 y) 2)))) x)) (* y (- 2 y))) x))) x))

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

eval163.0ms (1.7%)

Memory: 15.2MiB live, 335.8MiB allocated
Compiler: Compiled 25 320 to 2 567 computations (89.9% saved)

prune201.0ms (2%)

Memory

5.4MiB live, 284.7MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 050	7	1 057
Fresh	2	5	7
Picked	1	4	5
Done	0	1	1
Total	1 053	17	1 070

Accuracy

100.0%

Counts

1 070 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.0%	(fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
	35.9%	(/.f64 (-.f64 y x) x)
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	65.6%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
▶	38.7%	(/.f64 (-.f64 x y) (neg.f64 y))
▶	28.3%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
	53.2%	(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	52.9%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	49.4%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
	38.6%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
	44.6%	(.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 y y))) (+.f64 #s(literal 2 binary64) y))
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
▶	15.3%	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
	15.8%	(*.f64 x #s(literal 1/2 binary64))
▶	38.4%	#s(literal 1 binary64)
✓	35.8%	#s(literal -1 binary64)

Compiler

Compiled 265 to 183 computations (30.9% saved)

simplify69.0ms (0.7%)

Memory

-7.2MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(/.f64 (-.f64 x y) (neg.f64 y))
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	384	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))

Rules

1 000×	`accelerator-lowering-fma.f32`
1 000×	`accelerator-lowering-fma.f64`
552×	`-lowering-.f32`
552×	`-lowering-.f64`
354×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	48	71
2	105	71
3	267	70
4	597	70
5	1054	70
6	1514	70
7	1887	70
8	1975	70
9	1994	70
0	1994	68

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ 1 (- 2 (+ x y))) (- x y))
(/ 1 (- 2 (+ x y)))
1
(- 2 (+ x y))
2
(+ x y)
x
y
(- x y)
1
(* x (+ (* x 1/4) 1/2))
x
(+ (* x 1/4) 1/2)
1/4
1/2
(/ (- x y) 2)
(- x y)
x
y
2
(/ (- x y) (neg y))
(- x y)
x
y
(neg y)

Outputs
(* (/ 1 (- 2 (+ x y))) (- x y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/ 1 (- 2 (+ x y)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
1
#s(literal 1 binary64)
(- 2 (+ x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
x
y
(- x y)
(-.f64 x y)
1
#s(literal 1 binary64)
(* x (+ (* x 1/4) 1/2))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
x
(+ (* x 1/4) 1/2)
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
1/4
#s(literal 1/4 binary64)
1/2
#s(literal 1/2 binary64)
(/ (- x y) 2)
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(- x y)
(-.f64 x y)
x
y
2
#s(literal 2 binary64)
(/ (- x y) (neg y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(- x y)
(-.f64 x y)
x
y
(neg y)
(neg.f64 y)

localize93.0ms (0.9%)

Memory

-26.4MiB live, 98.3MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (neg.f64 y))
✓	accuracy	100.0%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))

Samples

38.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 73 to 19 computations (74% saved)

Precisions

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

ival-neg: 12.0ms (44.8% of total)

ival-div: 5.0ms (18.7% of total)

ival-mult: 4.0ms (14.9% of total)

ival-add: 3.0ms (11.2% of total)

ival-sub: 2.0ms (7.5% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series9.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

10 → 204

Calls

Call 1

Inputs
#<alt (* (/ 1 (- 2 (+ x y))) (- x y))>
#<alt (/ 1 (- 2 (+ x y)))>
#<alt (- 2 (+ x y))>
#<alt (+ x y)>
#<alt (* x (+ (* x 1/4) 1/2))>
#<alt (+ (* x 1/4) 1/2)>
#<alt (/ (- x y) 2)>
#<alt (- x y)>
#<alt (/ (- x y) (neg y))>
#<alt (neg y)>

Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (/ 1 (- 2 y))>
#<alt (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))>
#<alt (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))>
#<alt (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))>
#<alt (/ -1 x)>
#<alt (/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)>
#<alt (/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)>
#<alt (/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))>
#<alt (/ 1 (- 2 x))>
#<alt (+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))>
#<alt (+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))>
#<alt (+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))>
#<alt (/ -1 y)>
#<alt (/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 x))>
#<alt (+ 1/2 (* 1/4 x))>
#<alt (+ 1/2 (* 1/4 x))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ 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 (/ x y))>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x 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)>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/ (- x y) 2)
0.0ms	x	@	inf	(* x (+ (* x 1/4) 1/2))
0.0ms	x	@	-inf	(* x (+ (* x 1/4) 1/2))
0.0ms	x	@	inf	(/ (- x y) (neg y))
0.0ms	y	@	inf	(/ (- x y) (neg y))

rewrite430.0ms (4.4%)

Memory

2.4MiB live, 609.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 308×	`accelerator-lowering-fma.f32`
6 308×	`accelerator-lowering-fma.f64`
5 084×	`-lowering-.f32`
5 084×	`-lowering-.f64`
4 090×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	113	52
2	905	51
0	8789	49

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 850

Calls

Call 1

Inputs
(* (/ 1 (- 2 (+ x y))) (- x y))
(/ 1 (- 2 (+ x y)))
(- 2 (+ x y))
(+ x y)
(* x (+ (* x 1/4) 1/2))
(+ (* x 1/4) 1/2)
(/ (- x y) 2)
(- x y)
(/ (- x y) (neg y))
(neg y)

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

simplify446.0ms (4.5%)

Memory

-1.6MiB live, 635.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 296×	`accelerator-lowering-fma.f32`
9 296×	`accelerator-lowering-fma.f64`
5 614×	`-lowering-.f32`
5 614×	`-lowering-.f64`
4 024×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	1869
1	1038	1746
2	3143	1712
0	8509	1619

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(/ 1 (- 2 y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(/ -1 x)
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))
(/ 1 (- 2 x))
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))
(+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))
(+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))
(/ -1 y)
(/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)

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

eval425.0ms (4.3%)

Memory: 33.2MiB live, 292.8MiB allocated
Compiler: Compiled 27 389 to 2 814 computations (89.7% saved)

prune298.0ms (3%)

Memory

-45.1MiB live, 407.2MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1 255	3	1 258
Fresh	1	6	7
Picked	2	3	5
Done	0	5	5
Total	1 258	17	1 275

Accuracy

100.0%

Counts

1 275 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.0%	(fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
	35.9%	(/.f64 (-.f64 y x) x)
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	65.6%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
▶	53.2%	(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	52.9%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	49.4%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
	38.7%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
	44.6%	(.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 y y))) (+.f64 #s(literal 2 binary64) y))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
▶	28.3%	(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
	16.0%	(*.f64 y #s(literal -1/2 binary64))
✓	15.3%	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
▶	15.8%	(*.f64 x #s(literal 1/2 binary64))
✓	38.4%	#s(literal 1 binary64)
✓	35.8%	#s(literal -1 binary64)

Compiler

Compiled 231 to 159 computations (31.2% saved)

simplify619.0ms (6.3%)

Memory

26.6MiB live, 545.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 y #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	128	(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Rules

12 960×	`accelerator-lowering-fma.f32`
12 960×	`accelerator-lowering-fma.f64`
1 968×	`-lowering-.f32`
1 968×	`-lowering-.f64`
1 840×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	99
1	64	99
2	162	99
3	381	98
4	699	98
5	1710	98
6	4193	96
7	5909	96
8	6631	96
9	6956	96
10	7258	96
11	7467	96
12	7654	96
13	7701	96
14	7753	96
15	7783	96
16	7839	96
17	7841	96
18	7841	96
0	8023	89

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (neg y) (- 2 (+ x y)))
(neg y)
y
(- 2 (+ x y))
2
(+ x y)
x
(* x 1/2)
x
1/2
(* (- y x) -1/2)
(- y x)
y
x
-1/2
(/ y (+ y -2))
y
(+ y -2)
-2
(+ (* y (+ (* y (+ (* x 1/8) -1/4)) (+ (* x 1/4) -1/2))) (* x 1/2))
y
(+ (* y (+ (* x 1/8) -1/4)) (+ (* x 1/4) -1/2))
(+ (* x 1/8) -1/4)
x
1/8
-1/4
(+ (* x 1/4) -1/2)
1/4
-1/2
(* x 1/2)
1/2

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

localize71.0ms (0.7%)

Memory

-16.1MiB live, 178.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(+.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Samples

41.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 92 to 28 computations (69.6% saved)

Precisions

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

ival-add: 9.0ms (33.3% of total)

ival-mult: 9.0ms (33.3% of total)

ival-div: 4.0ms (14.8% of total)

ival-neg: 2.0ms (7.4% of total)

ival-sub: 2.0ms (7.4% of total)

exact: 1.0ms (3.7% of total)

adjust: 0.0ms (0% of total)

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

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

series11.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

13 → 240

Calls

Call 1

Inputs
#<alt (/ (neg y) (- 2 (+ x y)))>
#<alt (neg y)>
#<alt (- 2 (+ x y))>
#<alt (+ x y)>
#<alt (* x 1/2)>
#<alt (* (- y x) -1/2)>
#<alt (- y x)>
#<alt (/ y (+ y -2))>
#<alt (+ y -2)>
#<alt (+ (* y (+ (* y (+ (* x 1/8) -1/4)) (+ (* x 1/4) -1/2))) (* x 1/2))>
#<alt (+ (* y (+ (* x 1/8) -1/4)) (+ (* x 1/4) -1/2))>
#<alt (+ (* x 1/8) -1/4)>
#<alt (+ (* x 1/4) -1/2)>

Outputs
#<alt (* -1 (/ y (- 2 x)))>
#<alt (* y (- (* -1 (/ y (pow (- 2 x) 2))) (/ 1 (- 2 x))))>
#<alt (* y (- (* y (- (* -1 (/ y (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))>
#<alt (* y (- (* y (- (* y (- (* -1 (/ y (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ 1 y))) (/ x y))>
#<alt (- (+ 1 (/ (pow (- 2 x) 2) (pow y 2))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (/ (pow (- 2 x) 3) (pow y 3))) (+ (* -1 (/ (- 2 x) y)) (* -1 (/ (pow (- 2 x) 2) (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y)))>
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* -1 (/ (* x y) (pow (- 2 y) 2))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* -1 (/ (* x y) (pow (- 2 y) 3))))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (* -1 (/ (* x y) (pow (- 2 y) 4))))))))>
#<alt (/ y x)>
#<alt (/ (+ y (/ (* y (- 2 y)) x)) x)>
#<alt (/ (+ y (+ (/ (* y (- 2 y)) x) (/ (* y (pow (- 2 y) 2)) (pow x 2)))) x)>
#<alt (/ (+ y (+ (/ (* y (- 2 y)) x) (+ (/ (* y (pow (- 2 y) 2)) (pow x 2)) (/ (* y (pow (- 2 y) 3)) (pow x 3))))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (* y (- 2 y)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y (- 2 y)) (/ (* y (pow (- 2 y) 2)) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (- 2 y) 2))) (* -1 (/ (* y (pow (- 2 y) 3)) x))) x)) (* y (- 2 y))) x))) 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 (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1/2 y)>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (* y (- (* y (- (* -1/8 y) 1/4)) 1/2))>
#<alt (* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))>
#<alt -2>
#<alt (- y 2)>
#<alt (- y 2)>
#<alt (- y 2)>
#<alt y>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt y>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (* 1/4 x) 1/2)))>
#<alt (+ (* 1/2 x) (* y (- (+ (* 1/4 x) (* y (- (* 1/8 x) 1/4))) 1/2)))>
#<alt (+ (* 1/2 x) (* y (- (+ (* 1/4 x) (* y (- (* 1/8 x) 1/4))) 1/2)))>
#<alt (* (pow y 2) (- (* 1/8 x) 1/4))>
#<alt (* (pow y 2) (- (+ (* 1/8 x) (* 1/4 (/ x y))) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* (pow y 2) (- (+ (* 1/8 x) (+ (* 1/4 (/ x y)) (* 1/2 (/ x (pow y 2))))) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* (pow y 2) (- (+ (* 1/8 x) (+ (* 1/4 (/ x y)) (* 1/2 (/ x (pow y 2))))) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* (pow y 2) (- (* 1/8 x) 1/4))>
#<alt (* (pow y 2) (- (+ (* 1/8 x) (* 1/4 (/ x y))) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (+ (* -1 (- (* 1/4 x) 1/2)) (* -1/2 (/ x y))) y)) (* 1/8 x)) 1/4))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (+ (* -1 (- (* 1/4 x) 1/2)) (* -1/2 (/ x y))) y)) (* 1/8 x)) 1/4))>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (+ (* x (+ 1/2 (* y (+ 1/4 (* 1/8 y))))) (* y (- (* -1/4 y) 1/2)))>
#<alt (+ (* x (+ 1/2 (* y (+ 1/4 (* 1/8 y))))) (* y (- (* -1/4 y) 1/2)))>
#<alt (+ (* x (+ 1/2 (* y (+ 1/4 (* 1/8 y))))) (* y (- (* -1/4 y) 1/2)))>
#<alt (* x (+ 1/2 (* y (+ 1/4 (* 1/8 y)))))>
#<alt (* x (+ 1/2 (+ (* y (+ 1/4 (* 1/8 y))) (/ (* y (- (* -1/4 y) 1/2)) x))))>
#<alt (* x (+ 1/2 (+ (* y (+ 1/4 (* 1/8 y))) (/ (* y (- (* -1/4 y) 1/2)) x))))>
#<alt (* x (+ 1/2 (+ (* y (+ 1/4 (* 1/8 y))) (/ (* y (- (* -1/4 y) 1/2)) x))))>
#<alt (* -1 (* x (- (* y (- (* -1/8 y) 1/4)) 1/2)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (- (* -1/4 y) 1/2)) x)) (* y (- (* -1/8 y) 1/4))) 1/2)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (- (* -1/4 y) 1/2)) x)) (* y (- (* -1/8 y) 1/4))) 1/2)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (- (* -1/4 y) 1/2)) x)) (* y (- (* -1/8 y) 1/4))) 1/2)))>
#<alt (- (* 1/4 x) 1/2)>
#<alt (- (+ (* 1/4 x) (* y (- (* 1/8 x) 1/4))) 1/2)>
#<alt (- (+ (* 1/4 x) (* y (- (* 1/8 x) 1/4))) 1/2)>
#<alt (- (+ (* 1/4 x) (* y (- (* 1/8 x) 1/4))) 1/2)>
#<alt (* y (- (* 1/8 x) 1/4))>
#<alt (* y (- (+ (* 1/8 x) (* 1/4 (/ x y))) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* y (- (+ (* 1/8 x) (* 1/4 (/ x y))) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* y (- (+ (* 1/8 x) (* 1/4 (/ x y))) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* y (- (* 1/8 x) 1/4))>
#<alt (* -1 (* y (+ (* -1 (- (* 1/8 x) 1/4)) (* -1 (/ (- (* 1/4 x) 1/2) y)))))>
#<alt (* -1 (* y (+ (* -1 (- (* 1/8 x) 1/4)) (* -1 (/ (- (* 1/4 x) 1/2) y)))))>
#<alt (* -1 (* y (+ (* -1 (- (* 1/8 x) 1/4)) (* -1 (/ (- (* 1/4 x) 1/2) y)))))>
#<alt (- (* -1/4 y) 1/2)>
#<alt (- (+ (* -1/4 y) (* x (+ 1/4 (* 1/8 y)))) 1/2)>
#<alt (- (+ (* -1/4 y) (* x (+ 1/4 (* 1/8 y)))) 1/2)>
#<alt (- (+ (* -1/4 y) (* x (+ 1/4 (* 1/8 y)))) 1/2)>
#<alt (* x (+ 1/4 (* 1/8 y)))>
#<alt (* x (- (+ 1/4 (+ (* -1/4 (/ y x)) (* 1/8 y))) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 1/4 (+ (* -1/4 (/ y x)) (* 1/8 y))) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 1/4 (+ (* -1/4 (/ y x)) (* 1/8 y))) (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/8 y) 1/4)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1/4 y) 1/2) x)) (* -1/8 y)) 1/4)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1/4 y) 1/2) x)) (* -1/8 y)) 1/4)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1/4 y) 1/2) x)) (* -1/8 y)) 1/4)))>
#<alt -1/4>
#<alt (- (* 1/8 x) 1/4)>
#<alt (- (* 1/8 x) 1/4)>
#<alt (- (* 1/8 x) 1/4)>
#<alt (* 1/8 x)>
#<alt (* x (- 1/8 (* 1/4 (/ 1 x))))>
#<alt (* x (- 1/8 (* 1/4 (/ 1 x))))>
#<alt (* x (- 1/8 (* 1/4 (/ 1 x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* 1/4 (/ 1 x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/4 (/ 1 x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/4 (/ 1 x)) 1/8)))>
#<alt -1/2>
#<alt (- (* 1/4 x) 1/2)>
#<alt (- (* 1/4 x) 1/2)>
#<alt (- (* 1/4 x) 1/2)>
#<alt (* 1/4 x)>
#<alt (* x (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* 1/4 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/4)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/4)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/4)))>

Calls

60 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+ (* y (+ (* y (+ (* x 1/8) -1/4)) (+ (* x 1/4) -1/2))) (* x 1/2))
1.0ms	x	@	inf	(+ (* y (+ (* y (+ (* x 1/8) -1/4)) (+ (* x 1/4) -1/2))) (* x 1/2))
1.0ms	y	@	-inf	(+ (* y (+ (* y (+ (* x 1/8) -1/4)) (+ (* x 1/4) -1/2))) (* x 1/2))
1.0ms	y	@	inf	(+ (* y (+ (* y (+ (* x 1/8) -1/4)) (+ (* x 1/4) -1/2))) (* x 1/2))
1.0ms	x	@	0	(+ (* y (+ (* y (+ (* x 1/8) -1/4)) (+ (* x 1/4) -1/2))) (* x 1/2))

rewrite450.0ms (4.6%)

Memory

19.4MiB live, 572.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 608×	`/-lowering-/.f32`
4 608×	`/-lowering-/.f64`
4 102×	`accelerator-lowering-fma.f32`
4 102×	`accelerator-lowering-fma.f64`
4 002×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	79
1	175	79
2	1535	79
0	8183	70

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 563

Calls

Call 1

Inputs
(/ (neg y) (- 2 (+ x y)))
(neg y)
(- 2 (+ x y))
(+ x y)
(* x 1/2)
(* (- y x) -1/2)
(- y x)
(/ y (+ y -2))
(+ y -2)
(+ (* y (+ (* y (+ (* x 1/8) -1/4)) (+ (* x 1/4) -1/2))) (* x 1/2))
(+ (* y (+ (* x 1/8) -1/4)) (+ (* x 1/4) -1/2))
(+ (* x 1/8) -1/4)
(+ (* x 1/4) -1/2)

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

simplify824.0ms (8.4%)

Memory

-15.4MiB live, 661.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 688×	`accelerator-lowering-fma.f32`
11 688×	`accelerator-lowering-fma.f64`
5 062×	`-lowering-.f32`
5 062×	`-lowering-.f64`
4 782×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	331	2105
1	966	2002
2	2847	1958
0	8193	1789

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* -1 (/ y (- 2 x)))
(* y (- (* -1 (/ y (pow (- 2 x) 2))) (/ 1 (- 2 x))))
(* y (- (* y (- (* -1 (/ y (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))
(* y (- (* y (- (* y (- (* -1 (/ y (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))
1
(- (+ 1 (* 2 (/ 1 y))) (/ x y))
(- (+ 1 (/ (pow (- 2 x) 2) (pow y 2))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (/ (pow (- 2 x) 3) (pow y 3))) (+ (* -1 (/ (- 2 x) y)) (* -1 (/ (pow (- 2 x) 2) (pow y 2)))))
1
(+ 1 (* -1 (/ (- x 2) y)))
(+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* -1 (/ (* x y) (pow (- 2 y) 2))))
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* -1 (/ (* x y) (pow (- 2 y) 3))))))
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (* -1 (/ (* x y) (pow (- 2 y) 4))))))))
(/ y x)
(/ (+ y (/ (* y (- 2 y)) x)) x)
(/ (+ y (+ (/ (* y (- 2 y)) x) (/ (* y (pow (- 2 y) 2)) (pow x 2)))) x)
(/ (+ y (+ (/ (* y (- 2 y)) x) (+ (/ (* y (pow (- 2 y) 2)) (pow x 2)) (/ (* y (pow (- 2 y) 3)) (pow x 3))))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (* y (- 2 y)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y (- 2 y)) (/ (* y (pow (- 2 y) 2)) x)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (- 2 y) 2))) (* -1 (/ (* y (pow (- 2 y) 3)) x))) x)) (* y (- 2 y))) x))) 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)
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
-2
(- y 2)
(- y 2)
(- y 2)
y
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
y
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* 1/2 x)
(+ (* 1/2 x) (* y (- (* 1/4 x) 1/2)))
(+ (* 1/2 x) (* y (- (+ (* 1/4 x) (* y (- (* 1/8 x) 1/4))) 1/2)))
(+ (* 1/2 x) (* y (- (+ (* 1/4 x) (* y (- (* 1/8 x) 1/4))) 1/2)))
(* (pow y 2) (- (* 1/8 x) 1/4))
(* (pow y 2) (- (+ (* 1/8 x) (* 1/4 (/ x y))) (+ 1/4 (* 1/2 (/ 1 y)))))
(* (pow y 2) (- (+ (* 1/8 x) (+ (* 1/4 (/ x y)) (* 1/2 (/ x (pow y 2))))) (+ 1/4 (* 1/2 (/ 1 y)))))
(* (pow y 2) (- (+ (* 1/8 x) (+ (* 1/4 (/ x y)) (* 1/2 (/ x (pow y 2))))) (+ 1/4 (* 1/2 (/ 1 y)))))
(* (pow y 2) (- (* 1/8 x) 1/4))
(* (pow y 2) (- (+ (* 1/8 x) (* 1/4 (/ x y))) (+ 1/4 (* 1/2 (/ 1 y)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 (- (* 1/4 x) 1/2)) (* -1/2 (/ x y))) y)) (* 1/8 x)) 1/4))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 (- (* 1/4 x) 1/2)) (* -1/2 (/ x y))) y)) (* 1/8 x)) 1/4))
(* y (- (* -1/4 y) 1/2))
(+ (* x (+ 1/2 (* y (+ 1/4 (* 1/8 y))))) (* y (- (* -1/4 y) 1/2)))
(+ (* x (+ 1/2 (* y (+ 1/4 (* 1/8 y))))) (* y (- (* -1/4 y) 1/2)))
(+ (* x (+ 1/2 (* y (+ 1/4 (* 1/8 y))))) (* y (- (* -1/4 y) 1/2)))
(* x (+ 1/2 (* y (+ 1/4 (* 1/8 y)))))
(* x (+ 1/2 (+ (* y (+ 1/4 (* 1/8 y))) (/ (* y (- (* -1/4 y) 1/2)) x))))
(* x (+ 1/2 (+ (* y (+ 1/4 (* 1/8 y))) (/ (* y (- (* -1/4 y) 1/2)) x))))
(* x (+ 1/2 (+ (* y (+ 1/4 (* 1/8 y))) (/ (* y (- (* -1/4 y) 1/2)) x))))
(* -1 (* x (- (* y (- (* -1/8 y) 1/4)) 1/2)))
(* -1 (* x (- (+ (* -1 (/ (* y (- (* -1/4 y) 1/2)) x)) (* y (- (* -1/8 y) 1/4))) 1/2)))
(* -1 (* x (- (+ (* -1 (/ (* y (- (* -1/4 y) 1/2)) x)) (* y (- (* -1/8 y) 1/4))) 1/2)))
(* -1 (* x (- (+ (* -1 (/ (* y (- (* -1/4 y) 1/2)) x)) (* y (- (* -1/8 y) 1/4))) 1/2)))
(- (* 1/4 x) 1/2)
(- (+ (* 1/4 x) (* y (- (* 1/8 x) 1/4))) 1/2)
(- (+ (* 1/4 x) (* y (- (* 1/8 x) 1/4))) 1/2)
(- (+ (* 1/4 x) (* y (- (* 1/8 x) 1/4))) 1/2)
(* y (- (* 1/8 x) 1/4))
(* y (- (+ (* 1/8 x) (* 1/4 (/ x y))) (+ 1/4 (* 1/2 (/ 1 y)))))
(* y (- (+ (* 1/8 x) (* 1/4 (/ x y))) (+ 1/4 (* 1/2 (/ 1 y)))))
(* y (- (+ (* 1/8 x) (* 1/4 (/ x y))) (+ 1/4 (* 1/2 (/ 1 y)))))
(* y (- (* 1/8 x) 1/4))
(* -1 (* y (+ (* -1 (- (* 1/8 x) 1/4)) (* -1 (/ (- (* 1/4 x) 1/2) y)))))
(* -1 (* y (+ (* -1 (- (* 1/8 x) 1/4)) (* -1 (/ (- (* 1/4 x) 1/2) y)))))
(* -1 (* y (+ (* -1 (- (* 1/8 x) 1/4)) (* -1 (/ (- (* 1/4 x) 1/2) y)))))
(- (* -1/4 y) 1/2)
(- (+ (* -1/4 y) (* x (+ 1/4 (* 1/8 y)))) 1/2)
(- (+ (* -1/4 y) (* x (+ 1/4 (* 1/8 y)))) 1/2)
(- (+ (* -1/4 y) (* x (+ 1/4 (* 1/8 y)))) 1/2)
(* x (+ 1/4 (* 1/8 y)))
(* x (- (+ 1/4 (+ (* -1/4 (/ y x)) (* 1/8 y))) (* 1/2 (/ 1 x))))
(* x (- (+ 1/4 (+ (* -1/4 (/ y x)) (* 1/8 y))) (* 1/2 (/ 1 x))))
(* x (- (+ 1/4 (+ (* -1/4 (/ y x)) (* 1/8 y))) (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1/8 y) 1/4)))
(* -1 (* x (- (+ (* -1 (/ (- (* -1/4 y) 1/2) x)) (* -1/8 y)) 1/4)))
(* -1 (* x (- (+ (* -1 (/ (- (* -1/4 y) 1/2) x)) (* -1/8 y)) 1/4)))
(* -1 (* x (- (+ (* -1 (/ (- (* -1/4 y) 1/2) x)) (* -1/8 y)) 1/4)))
-1/4
(- (* 1/8 x) 1/4)
(- (* 1/8 x) 1/4)
(- (* 1/8 x) 1/4)
(* 1/8 x)
(* x (- 1/8 (* 1/4 (/ 1 x))))
(* x (- 1/8 (* 1/4 (/ 1 x))))
(* x (- 1/8 (* 1/4 (/ 1 x))))
(* 1/8 x)
(* -1 (* x (- (* 1/4 (/ 1 x)) 1/8)))
(* -1 (* x (- (* 1/4 (/ 1 x)) 1/8)))
(* -1 (* x (- (* 1/4 (/ 1 x)) 1/8)))
-1/2
(- (* 1/4 x) 1/2)
(- (* 1/4 x) 1/2)
(- (* 1/4 x) 1/2)
(* 1/4 x)
(* x (- 1/4 (* 1/2 (/ 1 x))))
(* x (- 1/4 (* 1/2 (/ 1 x))))
(* x (- 1/4 (* 1/2 (/ 1 x))))
(* 1/4 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/4)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/4)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/4)))

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

eval126.0ms (1.3%)

Memory: 33.0MiB live, 290.3MiB allocated
Compiler: Compiled 21 553 to 2 233 computations (89.6% saved)

prune107.0ms (1.1%)

Memory

-61.7MiB live, 250.7MiB allocated

Pruning

17 alts after pruning (6 fresh and 11 done)

	Pruned	Kept	Total
New	814	3	817
Fresh	1	3	4
Picked	1	4	5
Done	1	7	8
Total	817	17	834

Accuracy

100.0%

Counts

834 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	35.9%	(/.f64 (-.f64 y x) x)
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	53.2%	(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	52.9%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	49.4%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
	38.7%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
✓	28.3%	(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
	16.2%	(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
	16.0%	(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
	16.0%	(*.f64 y #s(literal -1/2 binary64))
✓	15.3%	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓	15.8%	(*.f64 x #s(literal 1/2 binary64))
✓	38.4%	#s(literal 1 binary64)
✓	35.8%	#s(literal -1 binary64)

Compiler

Compiled 345 to 166 computations (51.9% saved)

regimes27.0ms (0.3%)

Memory

8.9MiB live, 46.9MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) x)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 y y))) (+.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))

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

Calls

3 calls:

10.0ms	x
8.0ms	y
7.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes25.0ms (0.3%)

Memory

1.6MiB live, 42.2MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) x)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 y y))) (+.f64 #s(literal 2 binary64) y))

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

Calls

3 calls:

10.0ms	x
7.0ms	y
6.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes21.0ms (0.2%)

Memory

-1.1MiB live, 37.0MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) x)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

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

Calls

3 calls:

8.0ms	x
6.0ms	y
5.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
88.1%	3	`x`
78.8%	5	`y`
99.3%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) x)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
99.0%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
97.5%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
96.8%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
96.8%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory

-28.9MiB live, 9.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
2.0ms	x

Results

Accuracy	Segments	Branch
61.5%	3	`x`
84.4%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
84.2%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
60.5%	3	`y`
72.6%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes4.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
35.8%	1	`y`
35.8%	1	`x`
35.8%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9570481405861945	-8.315429494208023e-7

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.819044341610841e-11	3.554846357391382e-10
0.0ms	-0.9570481405861945	-8.315429494208023e-7

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0022034250102337997	0.9905830743834727
0.0ms	-0.9570481405861945	-8.315429494208023e-7

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0022034250102337997	0.9905830743834727
0.0ms	-0.9570481405861945	-8.315429494208023e-7

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0022034250102337997	0.9905830743834727
0.0ms	-0.9570481405861945	-8.315429494208023e-7

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0022034250102337997	0.9905830743834727
0.0ms	-0.9570481405861945	-8.315429494208023e-7

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.819044341610841e-11	3.554846357391382e-10
0.0ms	-7.082950446298493e-18	-7.261044392885139e-25

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch12.0ms (0.1%)

Memory

-22.2MiB live, 16.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-2.300638292888123e-256	7.713258772361089e-228

Samples

6.0ms

208×

valid

Compiler

Compiled 118 to 116 computations (1.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify32.0ms (0.3%)

Memory

26.7MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Rules

186×	`distribute-lft-neg-in_binary64`
170×	`unsub-neg_binary64`
128×	`neg-mul-1_binary64`
108×	`neg-sub0_binary64`
96×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	265
1	69	265
2	93	265
3	111	265
4	137	265
5	178	265
6	247	265
7	336	265
8	464	265
9	577	265
10	662	265
11	713	265
12	729	265
13	730	265

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

Outputs
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 (+.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness1.3s (13.7%)

Memory

-15.7MiB live, 886.6MiB allocated

Rules

12 038×	`accelerator-lowering-fma.f32`
12 038×	`accelerator-lowering-fma.f64`
9 528×	`accelerator-lowering-fma.f32`
9 528×	`accelerator-lowering-fma.f64`
9 296×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	1869
1	1038	1746
2	3143	1712
0	8509	1619
0	17	54
1	113	52
2	905	51
0	8789	49
0	186	985
1	571	921
2	1809	857
3	7607	851
0	8573	806
0	522	2651
1	1680	2468
2	5215	2356
0	8242	2261
0	7	20
1	56	20
2	521	20
3	7745	20
0	8467	20

Stop Event

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

Compiler

Compiled 506 to 222 computations (56.1% saved)

preprocess136.0ms (1.4%)

Memory: 21.6MiB live, 184.0MiB allocated
Compiler: Compiled 590 to 130 computations (78% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	23
1	17	23
2	34	23
3	75	23
4	182	23
5	342	23
6	612	23
7	900	23
8	944	23
9	960	23
10	961	23
0	961	23

Iter	Nodes	Cost
0	49	265
1	69	265
2	93	265
3	111	265
4	137	265
5	178	265
6	247	265
7	336	265
8	464	265
9	577	265
10	662	265
11	713	265
12	729	265
13	730	265

Iter	Nodes	Cost
0	7	23
1	17	23
2	34	23
3	75	23
4	182	23
5	342	23
6	612	23
7	900	23
8	944	23
9	960	23
10	961	23
0	961	23

Iter	Nodes	Cost
0	49	265
1	69	265
2	93	265
3	111	265
4	137	265
5	178	265
6	247	265
7	336	265
8	464	265
9	577	265
10	662	265
11	713	265
12	729	265
13	730	265

analyze16.0ms (0.2%)

sample762.0ms (7.8%)

preprocess119.0ms (1.2%)

explain123.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.3%)

localize33.0ms (0.3%)

series5.0ms (0.1%)

rewrite910.0ms (9.3%)

simplify484.0ms (4.9%)

eval85.0ms (0.9%)

prune136.0ms (1.4%)

simplify73.0ms (0.7%)

localize59.0ms (0.6%)

series41.0ms (0.4%)

rewrite438.0ms (4.5%)

simplify512.0ms (5.2%)

eval163.0ms (1.7%)

prune201.0ms (2%)

simplify69.0ms (0.7%)

localize93.0ms (0.9%)

series9.0ms (0.1%)

rewrite430.0ms (4.4%)

simplify446.0ms (4.5%)

eval425.0ms (4.3%)

prune298.0ms (3%)

simplify619.0ms (6.3%)

localize71.0ms (0.7%)

series11.0ms (0.1%)

rewrite450.0ms (4.6%)

simplify824.0ms (8.4%)

eval126.0ms (1.3%)

prune107.0ms (1.1%)

regimes27.0ms (0.3%)

regimes25.0ms (0.3%)

regimes21.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

simplify32.0ms (0.3%)

soundness1.3s (13.7%)

preprocess136.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	23
1	17	23
2	34	23
3	75	23
4	182	23
5	342	23
6	612	23
7	900	23
8	944	23
9	960	23
10	961	23
0	961	23

Iter	Nodes	Cost
0	49	265
1	69	265
2	93	265
3	111	265
4	137	265
5	178	265
6	247	265
7	336	265
8	464	265
9	577	265
10	662	265
11	713	265
12	729	265
13	730	265