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)

sample973.0ms (12%)

Memory

-28.2MiB live, 874.0MiB allocated

Samples

680.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 382.0ms

ival-div: 234.0ms (61.2% of total)

ival-add: 88.0ms (23% of total)

ival-sub: 47.0ms (12.3% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess1.7s (21.1%)

Memory

22.3MiB live, 582.1MiB 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 (0.8%)

Memory

-7.0MiB live, 189.9MiB 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

30.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

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

ival-div: 7.0ms (47.7% of total)

ival-add: 4.0ms (27.2% of total)

ival-sub: 3.0ms (20.4% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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)

simplify460.0ms (5.7%)

Memory

-0.2MiB live, 753.1MiB 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)

localize20.0ms (0.2%)

Memory

1.2MiB live, 42.5MiB 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-sub: 2.0ms (39% of total)

ival-div: 2.0ms (39% of total)

ival-add: 1.0ms (19.5% 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

8.2MiB live, 8.2MiB 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	x	@	0	(+ x (/ (- y x) 2))
0.0ms	x	@	inf	(/ (- y x) 2)
0.0ms	y	@	0	(/ (- y x) 2)

rewrite315.0ms (3.9%)

Memory

-2.7MiB live, 484.3MiB 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)))
(/.f64 (neg.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y))) (fma.f64 y y (*.f64 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))))

simplify292.0ms (3.6%)

Memory

-11.0MiB live, 429.0MiB 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)

eval53.0ms (0.7%)

Memory: -10.7MiB live, 102.3MiB allocated
Compiler: Compiled 8 808 to 1 091 computations (87.6% saved)

prune49.0ms (0.6%)

Memory

16.3MiB live, 100.3MiB 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
▶	51.5%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
▶	100.0%	(fma.f64 #s(literal 1/2 binary64) (+.f64 x y) #s(literal 0 binary64))
▶	48.6%	(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))

Compiler

Compiled 20 to 16 computations (20% saved)

simplify4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

20×	`+-lowering-+.f64`
20×	`+-lowering-+.f32`
20×	`accelerator-lowering-fma.f32`
20×	`accelerator-lowering-fma.f64`
12×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	21	24
2	23	24
0	23	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize31.0ms (0.4%)

Memory

-21.1MiB live, 57.2MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

18.0ms

256×

valid

Compiler

Compiled 29 to 13 computations (55.2% saved)

Precisions

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

ival-mult: 5.0ms (52.9% of total)

ival-add: 4.0ms (42.3% 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

5.7MiB live, 5.7MiB allocated

Counts

4 → 72

Calls

Call 1

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

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 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 (* 1/2 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 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)>

Calls

18 calls:

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

rewrite481.0ms (5.9%)

Memory

17.2MiB live, 684.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 584×	`accelerator-lowering-fma.f32`
8 584×	`accelerator-lowering-fma.f64`
5 282×	`-lowering-.f32`
5 282×	`-lowering-.f64`
3 990×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	66	14
2	775	14
0	8862	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 1 040

Calls

Call 1

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

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

simplify629.0ms (7.7%)

Memory

1.5MiB live, 681.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 664×	`accelerator-lowering-fma.f32`
17 664×	`accelerator-lowering-fma.f64`
2 856×	`+-lowering-+.f64`
2 856×	`+-lowering-+.f32`
2 768×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	240
1	115	240
2	264	240
3	783	240
4	1834	240
5	2668	240
6	3340	240
7	3639	240
8	3801	240
9	3837	240
10	6026	240
0	8686	240

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 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)))
(* 1/2 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)))
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)

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

eval182.0ms (2.2%)

Memory: -23.8MiB live, 308.8MiB allocated
Compiler: Compiled 23 012 to 1 825 computations (92.1% saved)

prune272.0ms (3.3%)

Memory

6.0MiB live, 361.0MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1 109	3	1 112
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	1 112	3	1 115

Accuracy

100.0%

Counts

1 115 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
▶	48.6%	(*.f64 y #s(literal 1/2 binary64))
▶	51.5%	(*.f64 x #s(literal 1/2 binary64))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
8×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	11	21
2	13	21
0	13	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize212.0ms (2.6%)

Memory

-1.0MiB live, 37.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
✓	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 23 to 9 computations (60.9% saved)

Precisions

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

ival-mult: 5.0ms (78.8% of total)

ival-add: 1.0ms (15.8% 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

2.9MiB live, 2.9MiB allocated

Counts

4 → 72

Calls

Call 1

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

Calls

18 calls:

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

rewrite882.0ms (10.8%)

Memory

11.0MiB live, 697.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 424×	`accelerator-lowering-fma.f32`
6 424×	`accelerator-lowering-fma.f64`
4 438×	`/-lowering-/.f32`
4 438×	`/-lowering-/.f64`
3 646×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	24	14
2	144	14
3	1368	14
0	8463	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 203

Calls

Call 1

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

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

simplify499.0ms (6.1%)

Memory

-0.4MiB live, 676.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 664×	`accelerator-lowering-fma.f32`
17 664×	`accelerator-lowering-fma.f64`
2 856×	`+-lowering-+.f64`
2 856×	`+-lowering-+.f32`
2 768×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	240
1	115	240
2	264	240
3	783	240
4	1834	240
5	2668	240
6	3340	240
7	3639	240
8	3801	240
9	3837	240
10	6026	240
0	8686	240

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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)
(* 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 (* 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
(+ 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)))
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)))

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))
(* 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 (* 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 #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 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
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)

eval30.0ms (0.4%)

Memory: -1.1MiB live, 75.8MiB allocated
Compiler: Compiled 6 844 to 659 computations (90.4% saved)

prune29.0ms (0.4%)

Memory

-9.0MiB live, 69.7MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	275	0	275
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	275	3	278

Accuracy

100.0%

Counts

278 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
✓	48.6%	(*.f64 y #s(literal 1/2 binary64))
✓	51.5%	(*.f64 x #s(literal 1/2 binary64))

Compiler

Compiled 51 to 29 computations (43.1% saved)

regimes9.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(*.f64 (+.f64 y x) #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
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)

regimes7.0ms (0.1%)

Memory

-22.5MiB live, 16.0MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(*.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))

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)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
81.8%	2	`x`
82.4%	2	`y`
96.1%	2	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.5%	1	`x`
51.5%	1	`y`
51.5%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5722936843950875e-308	2.405849525008915e-285

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify8.0ms (0.1%)

Memory

-13.1MiB live, 26.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
8×	`+-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	14	24
1	21	24
2	26	24
3	28	24
4	29	24

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))

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

Outputs

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

(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))

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

soundness855.0ms (10.5%)

Memory

7.1MiB live, 404.5MiB allocated

Rules

12 600×	`accelerator-lowering-fma.f32`
12 600×	`accelerator-lowering-fma.f64`
8 584×	`accelerator-lowering-fma.f32`
8 584×	`accelerator-lowering-fma.f64`
5 282×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	66	14
2	775	14
0	8862	14
0	57	315
1	177	315
2	498	279
3	1491	279
4	5234	279
5	7541	279
0	8288	279

Stop Event

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

Compiler

Compiled 66 to 46 computations (30.3% saved)

preprocess37.0ms (0.5%)

Memory: -1.9MiB live, 107.8MiB allocated
Remove: (sort x y)
Compiler: Compiled 98 to 60 computations (38.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample973.0ms (12%)

preprocess1.7s (21.1%)

explain69.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify460.0ms (5.7%)

localize20.0ms (0.2%)

series3.0ms (0%)

rewrite315.0ms (3.9%)

simplify292.0ms (3.6%)

eval53.0ms (0.7%)

prune49.0ms (0.6%)

simplify4.0ms (0.1%)

localize31.0ms (0.4%)

series3.0ms (0%)

rewrite481.0ms (5.9%)

simplify629.0ms (7.7%)

eval182.0ms (2.2%)

prune272.0ms (3.3%)

simplify4.0ms (0.1%)

localize212.0ms (2.6%)

series2.0ms (0%)

rewrite882.0ms (10.8%)

simplify499.0ms (6.1%)

eval30.0ms (0.4%)

prune29.0ms (0.4%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness855.0ms (10.5%)

preprocess37.0ms (0.5%)

end0.0ms (0%)

Profiling