Metrics for Numeric.Interval.Internal:bisect from intervals-0.7.1, A

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (14.9%)

Memory

-12.7MiB live, 955.2MiB allocated

Samples

509.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-div: 68.0ms (40.6% of total)

ival-sub: 49.0ms (29.3% of total)

ival-add: 36.0ms (21.5% of total)

ival-true: 6.0ms (3.6% of total)

exact: 5.0ms (3% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess1.0s (12.6%)

Memory

-1.0MiB live, 878.6MiB allocated

Algorithm

2×	egg-herbie

Rules

19 132×	`accelerator-lowering-fma.f32`
19 132×	`accelerator-lowering-fma.f64`
4 020×	`associate-+r+`
1 946×	`associate-+l+`
1 940×	`+-lowering-+.f64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	50	42
2	151	42
3	409	30
4	692	30
5	1116	30
6	1797	30
7	2243	30
8	2268	30
9	2286	30
10	2286	30
11	3727	30
12	4630	30
13	4856	30
14	4921	30
15	4985	30
16	4985	30
17	5008	30
18	5016	30
19	5016	30
20	5016	30
0	6	7
1	12	7
2	23	7
3	43	7
4	84	7
5	147	7
6	323	7
7	546	6
8	1296	5
9	2015	5
10	2426	5
11	2444	5
12	2458	5
13	2458	5
14	3400	5
15	3932	5
16	4088	5
17	4146	5
18	4554	5
19	6394	5
20	7058	5
21	7989	5
0	8343	5

Stop Event

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

Calls

Call 1

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

Outputs
(+ x (/ (- y x) 2))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x y) #s(literal 0 binary64))

Call 2

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

Outputs
(+ x (/ (- y x) 2))
(* (+ x y) 1/2)
(+ (neg x) (/ (- y (neg x)) 2))
(* (- y x) 1/2)
(+ x (/ (- (neg y) x) 2))
(* (- y x) -1/2)
(neg (+ (neg x) (/ (- y (neg x)) 2)))
(* (- y x) -1/2)
(neg (+ x (/ (- (neg y) x) 2)))
(* (- y x) 1/2)
(+ y (/ (- x y) 2))
(* (+ x y) 1/2)

Symmetry

(sort x y)

explain69.0ms (0.9%)

Memory

-9.4MiB live, 152.5MiB allocated

FPErrors

Click to see full error table

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

26.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (40% of total)

ival-sub: 3.0ms (30% of total)

ival-add: 2.0ms (20% 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: 0.4MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify663.0ms (8.3%)

Memory

12.5MiB live, 570.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	192	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
✓	cost-diff	320	(/.f64 (-.f64 y x) #s(literal 2 binary64))

Rules

19 132×	`accelerator-lowering-fma.f32`
19 132×	`accelerator-lowering-fma.f64`
1 940×	`+-lowering-+.f64`
1 940×	`+-lowering-+.f32`
1 884×	`--lowering--.f32`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	12	18
2	23	18
3	43	18
4	84	18
5	147	18
6	323	18
7	546	17
8	1296	16
9	2015	16
10	2426	16
11	2444	16
12	2458	16
13	2458	16
14	3400	16
15	3932	16
16	4088	16
17	4146	16
18	4554	16
19	6394	16
20	7058	16
21	7989	16
0	8343	16

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(+ x (/ (- y x) 2))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x y) #s(literal 0 binary64))
x
(/ (- y x) 2)
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(- y x)
(-.f64 y x)
y
2
#s(literal 2 binary64)

localize21.0ms (0.3%)

Memory

-16.3MiB live, 22.2MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (40.4% of total)

ival-sub: 1.0ms (20.2% of total)

ival-add: 1.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite427.0ms (5.3%)

Memory

24.1MiB live, 450.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 080×	`accelerator-lowering-fma.f32`
4 080×	`accelerator-lowering-fma.f64`
3 840×	`-lowering-.f32`
3 840×	`-lowering-.f64`
2 598×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	45	15
2	397	15
3	5081	15
0	8212	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 344

Calls

Call 1

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

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

simplify326.0ms (4.1%)

Memory

-18.9MiB live, 555.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 600×	`accelerator-lowering-fma.f32`
12 600×	`accelerator-lowering-fma.f64`
1 834×	`-lowering-.f32`
1 834×	`-lowering-.f64`
1 602×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	315
1	177	315
2	498	279
3	1491	279
4	5234	279
5	7541	279
0	8288	279

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval50.0ms (0.6%)

Memory: -2.5MiB live, 114.4MiB allocated
Compiler: Compiled 8 808 to 1 091 computations (87.6% saved)

prune48.0ms (0.6%)

Memory

23.0MiB live, 97.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	413	3	416
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	414	3	417

Accuracy

100.0%

Counts

417 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
▶	45.1%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
▶	56.1%	(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))

Compiler

Compiled 20 to 15 computations (25% saved)

simplify461.0ms (5.8%)

Memory

-4.8MiB live, 557.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 y x)
✓	cost-diff	(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
✓	cost-diff	(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
✓	cost-diff	(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))

Rules

15 760×	`accelerator-lowering-fma.f32`
15 760×	`accelerator-lowering-fma.f64`
1 664×	`-lowering-.f32`
1 664×	`-lowering-.f64`
1 648×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	19	25
2	28	25
3	47	25
4	85	23
5	156	23
6	430	23
7	1372	23
8	2023	23
9	2594	23
10	2870	23
11	2902	23
12	2907	23
13	4267	23
14	5059	23
15	5195	23
16	5232	23
17	5264	23
18	5264	23
19	5435	23
20	6690	23
21	6988	23
22	7300	23
23	7724	23
24	7948	23
25	7986	23
0	8010	23

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* 1/2 y) 0)
1/2
y
0
(+ (* x 1/2) 0)
x
1/2
0
(+ (* (- y x) 1/2) x)
(- y x)
y
x
1/2

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

localize47.0ms (0.6%)

Memory

-2.7MiB live, 35.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))

Samples

36.0ms

256×

valid

Compiler

Compiled 28 to 13 computations (53.6% saved)

Precisions

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

ival-mult: 22.0ms (81.3% of total)

ival-add: 3.0ms (11.1% of total)

ival-sub: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (+ (* 1/2 y) 0)>
#<alt (+ (* x 1/2) 0)>
#<alt (+ (* (- y x) 1/2) x)>
#<alt (- y x)>

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

Calls

18 calls:

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

rewrite375.0ms (4.7%)

Memory

12.7MiB live, 563.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 956×	`accelerator-lowering-fma.f32`
5 956×	`accelerator-lowering-fma.f64`
4 256×	`-lowering-.f32`
4 256×	`-lowering-.f64`
2 926×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	64	16
2	633	16
3	6575	16
0	8524	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 716

Calls

Call 1

Inputs
(+ (* 1/2 y) 0)
(+ (* x 1/2) 0)
(+ (* (- y x) 1/2) x)
(- y x)

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

simplify455.0ms (5.7%)

Memory

-0.3MiB live, 595.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 196×	`accelerator-lowering-fma.f32`
16 196×	`accelerator-lowering-fma.f64`
2 620×	`-lowering-.f32`
2 620×	`-lowering-.f64`
1 880×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	243
1	138	243
2	366	243
3	1106	243
4	3308	243
5	6360	243
0	8104	243

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval199.0ms (2.5%)

Memory: -26.2MiB live, 226.3MiB allocated
Compiler: Compiled 14 835 to 1 315 computations (91.1% saved)

prune208.0ms (2.6%)

Memory

5.3MiB live, 205.9MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	785	3	788
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	787	4	791

Accuracy

100.0%

Counts

791 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
▶	62.9%	(fma.f64 y #s(literal 1/2 binary64) x)
▶	56.1%	(*.f64 y #s(literal 1/2 binary64))
▶	45.1%	(*.f64 x #s(literal 1/2 binary64))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify4.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 y #s(literal 1/2 binary64) x)
✓	cost-diff	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	(*.f64 x #s(literal 1/2 binary64))

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`
4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	9	18
0	9	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

7.4MiB live, 44.3MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

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

ival-mult: 5.0ms (75.3% of total)

ival-add: 1.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* y 1/2) x)
0.0ms	x	@	-inf	(* x 1/2)
0.0ms	x	@	inf	(* x 1/2)
0.0ms	y	@	-inf	(* y 1/2)
0.0ms	y	@	inf	(* y 1/2)

rewrite632.0ms (7.9%)

Memory

-4.7MiB live, 999.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 200×	`accelerator-lowering-fma.f32`
18 200×	`accelerator-lowering-fma.f64`
4 320×	`-lowering-.f32`
4 320×	`-lowering-.f64`
3 924×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	22	11
2	153	11
3	1501	11
0	8246	10

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 223

Calls

Call 1

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

Outputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (-.f64 #s(literal 0 binary64) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) y) x)))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/2 binary64) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 y (.f64 y #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 1/2 binary64) y x)))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x)))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) y x) (.f64 y (.f64 y #s(literal 1/4 binary64))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (+.f64 x (*.f64 y #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y x))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 0 binary64) x))
(-.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -1/2 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (+.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/4 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/4 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/16 binary64)))))))
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(.f64 (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)))))))
(.f64 (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x))) (fma.f64 x (.f64 x x) (.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 y (*.f64 y #s(literal 1/4 binary64)))))
(.f64 (fma.f64 x x (.f64 #s(literal -1/4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal -1/2 binary64)))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/16 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x)))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) x))))
(.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/4 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 1/4 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))))
(.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (.f64 (fma.f64 y #s(literal -1/2 binary64) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 #s(literal 1/2 binary64) y) x))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal -1/4 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (.f64 y #s(literal -1/2 binary64))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x))))) (.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) y) x))) (.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) y) x))) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) y) x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (fma.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) y) x))) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) y) x))))))))
(.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) y) x)))) (fma.f64 #s(literal 1/2 binary64) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) y) x))))))
(.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/64 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (*.f64 y #s(literal 1/4 binary64))))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x (.f64 y #s(literal -1/2 binary64))) (.f64 (+.f64 x (.f64 y #s(literal -1/2 binary64))) (+.f64 x (.f64 y #s(literal -1/2 binary64))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))))) (fma.f64 (.f64 x (+.f64 x (.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (+.f64 x (.f64 y #s(literal -1/2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 y y))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/16 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x)) (-.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal -1/2 binary64))))))) (-.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal -1/2 binary64))))))
(.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 y (.f64 y #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) y x) (.f64 y (*.f64 y #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x)) (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/64 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x)) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (*.f64 y #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y x)) #s(literal -1/2 binary64)))

simplify269.0ms (3.4%)

Memory

0.7MiB live, 352.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 740×	`/-lowering-/.f32`
4 740×	`/-lowering-/.f64`
3 534×	`associate-/r*`
2 320×	`accelerator-lowering-fma.f32`
2 320×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	174
1	66	174
2	141	174
3	396	174
4	1113	174
5	2476	174
6	3364	174
7	4236	174
8	4712	174
9	4887	174
10	4977	174
11	5675	174
12	5991	174
13	5993	174
14	5993	174
15	5993	174
0	8663	156

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval79.0ms (1%)

Memory: -16.4MiB live, 59.6MiB allocated
Compiler: Compiled 8 342 to 522 computations (93.7% saved)

prune30.0ms (0.4%)

Memory

33.4MiB live, 74.8MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	270	1	271
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	271	4	275

Accuracy

100.0%

Counts

275 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
✓	56.1%	(*.f64 y #s(literal 1/2 binary64))
✓	45.1%	(*.f64 x #s(literal 1/2 binary64))
▶	10.3%	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify13.0ms (0.2%)

Memory

-31.5MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
x

Outputs
x

localize6.0ms (0.1%)

Memory

18.4MiB live, 18.3MiB allocated

Samples

4.0ms

256×

valid

Compiler

Compiled 3 to 4 computations (-33.3% 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)

series0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

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

prune42.0ms (0.5%)

Memory

-35.4MiB live, 3.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
✓	56.1%	(*.f64 y #s(literal 1/2 binary64))
✓	45.1%	(*.f64 x #s(literal 1/2 binary64))
✓	10.3%	x

Compiler

Compiled 55 to 29 computations (47.3% saved)

regimes11.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 1/2 binary64) x)
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))

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

Calls

3 calls:

4.0ms	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 1/2 binary64) x)

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

Calls

3 calls:

3.0ms	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
84.6%	2	`x`
85.0%	2	`y`
97.7%	2	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
45.1%	1	`x`
45.1%	1	`y`
45.1%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes26.0ms (0.3%)

Memory

-26.8MiB live, 11.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

23.0ms	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
10.3%	1	`x`
10.3%	1	`y`
10.3%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.398607411882373e-302	3.7679263029744236e-252

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify8.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	18	26
2	23	26
3	25	26
4	26	26

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x

Outputs
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x

soundness1.2s (14.9%)

Memory

-16.7MiB live, 747.5MiB allocated

Rules

16 196×	`accelerator-lowering-fma.f32`
16 196×	`accelerator-lowering-fma.f64`
12 600×	`accelerator-lowering-fma.f32`
12 600×	`accelerator-lowering-fma.f64`
5 956×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	243
1	138	243
2	366	243
3	1106	243
4	3308	243
5	6360	243
0	8104	243
0	11	16
1	64	16
2	633	16
3	6575	16
0	8524	15
0	6	15
1	45	15
2	397	15
3	5081	15
0	8212	14
0	57	315
1	177	315
2	498	279
3	1491	279
4	5234	279
5	7541	279
0	8288	279
0	24	174
1	66	174
2	141	174
3	396	174
4	1113	174
5	2476	174
6	3364	174
7	4236	174
8	4712	174
9	4887	174
10	4977	174
11	5675	174
12	5991	174
13	5993	174
14	5993	174
15	5993	174
0	8663	156

Stop Event

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

Compiler

Compiled 86 to 56 computations (34.9% saved)

preprocess95.0ms (1.2%)

Memory: -7.3MiB live, 150.7MiB allocated
Compiler: Compiled 104 to 58 computations (44.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.2s (14.9%)

preprocess1.0s (12.6%)

explain69.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify663.0ms (8.3%)

localize21.0ms (0.3%)

series3.0ms (0%)

rewrite427.0ms (5.3%)

simplify326.0ms (4.1%)

eval50.0ms (0.6%)

prune48.0ms (0.6%)

simplify461.0ms (5.8%)

localize47.0ms (0.6%)

series2.0ms (0%)

rewrite375.0ms (4.7%)

simplify455.0ms (5.7%)

eval199.0ms (2.5%)

prune208.0ms (2.6%)

simplify4.0ms (0%)

localize22.0ms (0.3%)

series2.0ms (0%)

rewrite632.0ms (7.9%)

simplify269.0ms (3.4%)

eval79.0ms (1%)

prune30.0ms (0.4%)

simplify13.0ms (0.2%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite7.0ms (0.1%)

simplify3.0ms (0%)

eval0.0ms (0%)

prune42.0ms (0.5%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes26.0ms (0.3%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.2s (14.9%)

preprocess95.0ms (1.2%)

end0.0ms (0%)

Profiling