Metrics for Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

analyze28.0ms (0.9%)

Memory

-26.5MiB live, 13.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample708.0ms (23.2%)

Memory

43.7MiB live, 669.9MiB allocated

Samples

522.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-add: 142.0ms (58.5% of total)

ival-div: 91.0ms (37.5% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess108.0ms (3.5%)

Memory

-18.5MiB live, 60.2MiB allocated

Algorithm

1×	egg-herbie

Rules

856×	`times-frac`
820×	`distribute-lft-in`
772×	`distribute-rgt-in`
636×	`div-sub`
544×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	42	35
2	106	35
3	310	35
4	1262	35
5	2388	35
6	3252	35
7	3801	35
8	4253	35
9	4303	35
10	4335	35
11	4411	35
12	4595	35
0	5	7
1	8	7
2	11	7
3	13	7
0	13	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) (+ y y))

Outputs
(/ (+ x y) (+ y y))
(/.f64 (+.f64 x y) (+.f64 y y))

explain68.0ms (2.2%)

Memory

2.1MiB live, 124.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 y y)`
-	-	`(/.f64 (+.f64 x y) (+.f64 y y))`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

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

ival-add: 5.0ms (53.6% of total)

ival-div: 4.0ms (42.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 y y)
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(/.f64 (+.f64 x y) (+.f64 y y))

Rules

10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
6×	`+-lowering-+.f64`
6×	`+-lowering-+.f32`
4×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	8	15
2	11	15
3	13	15
0	13	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) (+ y y))
(+ x y)
x
y
(+ y y)

Outputs
(/ (+ x y) (+ y y))
(/.f64 (+.f64 x y) (+.f64 y y))
(+ x y)
(+.f64 x y)
x
y
(+ y y)
(+.f64 y y)

localize40.0ms (1.3%)

Memory

-0.3MiB live, 39.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))

Samples

35.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 27.0ms (94.2% of total)

ival-div: 2.0ms (7% of total)

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

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

series5.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite66.0ms (2.2%)

Memory

-10.5MiB live, 109.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

150×	`/-lowering-/.f32`
150×	`/-lowering-/.f64`
128×	`-lowering-.f32`
128×	`-lowering-.f64`
76×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	35	13
0	302	13

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

3 → 61

Calls

Call 1

Inputs
(/ (+ x y) (+ y y))
(+ x y)
(+ y y)

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

simplify233.0ms (7.6%)

Memory

-25.6MiB live, 335.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 752×	`accelerator-lowering-fma.f32`
4 752×	`accelerator-lowering-fma.f64`
2 672×	`-lowering-.f32`
2 672×	`-lowering-.f64`
1 714×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	240
1	95	240
2	195	240
3	539	240
4	2494	240
5	4900	240
6	6147	240
7	7103	240
8	7625	240
0	8012	222

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval11.0ms (0.4%)

Memory: 35.7MiB live, 35.7MiB allocated
Compiler: Compiled 1 159 to 163 computations (85.9% saved)

prune11.0ms (0.4%)

Memory

-7.4MiB live, 32.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	117	4	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	4	122

Accuracy

100.0%

Counts

122 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
▶	51.8%	(/.f64 x (+.f64 y y))
▶	4.2%	(*.f64 (+.f64 y y) (+.f64 x y))
▶	49.4%	#s(literal 1/2 binary64)

Compiler

Compiled 27 to 17 computations (37% saved)

simplify9.0ms (0.3%)

Memory

-15.9MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

114×	`accelerator-lowering-fma.f32`
114×	`accelerator-lowering-fma.f64`
84×	`+-lowering-+.f64`
84×	`+-lowering-+.f32`
78×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	24	39
2	52	39
3	97	39
4	136	39
5	169	39
0	169	38

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize36.0ms (1.2%)

Memory

-13.2MiB live, 106.7MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

21.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

ival-add: 4.0ms (37.2% of total)

ival-div: 3.0ms (27.9% of total)

ival-mult: 3.0ms (27.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Memory

27.8MiB live, 27.8MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ x (+ y y))
1.0ms	y	@	0	(* (+ y y) (+ x y))
0.0ms	x	@	0	(/ x (+ y y))
0.0ms	y	@	0	(/ x (+ y y))
0.0ms	y	@	inf	(/ x (+ y y))

rewrite78.0ms (2.5%)

Memory

-12.8MiB live, 146.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

302×	`-lowering-.f32`
302×	`-lowering-.f64`
282×	`/-lowering-/.f32`
282×	`/-lowering-/.f64`
216×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	71	28
0	587	27

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

6 → 154

Calls

Call 1

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

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

simplify194.0ms (6.3%)

Memory

4.1MiB live, 359.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 472×	`accelerator-lowering-fma.f32`
5 472×	`accelerator-lowering-fma.f64`
3 286×	`-lowering-.f32`
3 286×	`-lowering-.f64`
1 312×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	588
1	176	588
2	393	588
3	1168	588
4	2711	588
5	5956	588
0	8106	570

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval35.0ms (1.2%)

Memory: 8.9MiB live, 84.8MiB allocated
Compiler: Compiled 3 157 to 387 computations (87.7% saved)

prune29.0ms (1%)

Memory

-8.0MiB live, 72.8MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	330	3	333
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	330	7	337

Accuracy

100.0%

Counts

337 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.6%	(fma.f64 (+.f64 y y) x (+.f64 y y))
✓	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓	51.8%	(/.f64 x (+.f64 y y))
✓	4.2%	(*.f64 (+.f64 y y) (+.f64 x y))
▶	3.2%	(*.f64 (+.f64 y y) y)
▶	3.7%	(*.f64 (+.f64 y y) x)
✓	49.4%	#s(literal 1/2 binary64)

Compiler

Compiled 51 to 29 computations (43.1% saved)

simplify10.0ms (0.3%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	64	(fma.f64 (+.f64 y y) x (+.f64 y y))
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	0	(*.f64 (+.f64 y y) y)
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	0	(*.f64 (+.f64 y y) x)

Rules

210×	`accelerator-lowering-fma.f32`
210×	`accelerator-lowering-fma.f64`
126×	`-lowering-.f32`
126×	`-lowering-.f64`
76×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	33
1	13	31
2	31	31
3	78	31
4	115	31
5	137	31
6	192	31
7	192	31
0	192	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ y y) x)
(+ y y)
y
x
(* (+ y y) y)
(+ y y)
y
(+ (* (+ y y) x) (+ y y))
(+ y y)
y
x

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

localize26.0ms (0.9%)

Memory

-15.7MiB live, 61.4MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (+.f64 y y) x (+.f64 y y))
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(*.f64 (+.f64 y y) y)
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(*.f64 (+.f64 y y) x)

Samples

18.0ms

256×

valid

Compiler

Compiled 34 to 8 computations (76.5% saved)

Precisions

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

ival-add: 5.0ms (59% of total)

ival-mult: 3.0ms (35.4% of total)

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

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

series3.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (* (+ y y) x)>
#<alt (+ y y)>
#<alt (* (+ y y) y)>
#<alt (+ (* (+ y y) x) (+ y y))>

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

Calls

18 calls:

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

rewrite52.0ms (1.7%)

Memory

-11.5MiB live, 79.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

420×	`accelerator-lowering-fma.f32`
420×	`accelerator-lowering-fma.f64`
174×	`-lowering-.f32`
174×	`-lowering-.f64`
114×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	34	18
0	372	18

Stop Event

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

Counts

4 → 157

Calls

Call 1

Inputs
(* (+ y y) x)
(+ y y)
(* (+ y y) y)
(+ (* (+ y y) x) (+ y y))

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

simplify211.0ms (6.9%)

Memory

2.6MiB live, 318.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 328×	`accelerator-lowering-fma.f32`
5 328×	`accelerator-lowering-fma.f64`
3 150×	`-lowering-.f32`
3 150×	`-lowering-.f64`
1 068×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	376
1	79	376
2	193	376
3	396	376
4	757	376
5	1662	376
6	3770	376
7	6049	376
8	7818	376
0	8046	355

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval47.0ms (1.5%)

Memory: -1.7MiB live, 115.9MiB allocated
Compiler: Compiled 4 460 to 383 computations (91.4% saved)

prune47.0ms (1.5%)

Memory

7.9MiB live, 122.9MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	405	7	412
Fresh	0	0	0
Picked	1	2	3
Done	1	3	4
Total	407	12	419

Accuracy

100.0%

Counts

419 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.0%	(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
✓	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓	51.8%	(/.f64 x (+.f64 y y))
▶	3.0%	(+.f64 y y)
✓	3.2%	(*.f64 (+.f64 y y) y)
✓	3.7%	(*.f64 (+.f64 y y) x)
▶	3.6%	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y))
	2.4%	(.f64 (.f64 (+.f64 y y) y) y)
▶	3.7%	(.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)
▶	3.2%	(.f64 #s(literal 4 binary64) (.f64 y y))
▶	3.0%	(*.f64 #s(literal 2 binary64) (+.f64 y y))
✓	49.4%	#s(literal 1/2 binary64)

Compiler

Compiled 144 to 90 computations (37.5% saved)

simplify20.0ms (0.7%)

Memory

-13.0MiB live, 36.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 #s(literal 4 binary64) (.f64 y y))
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	192	(*.f64 #s(literal 2 binary64) (+.f64 y y))
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)
✓	cost-diff	192	(*.f64 #s(literal 2 binary64) (+.f64 y y))

Rules

386×	`accelerator-lowering-fma.f32`
386×	`accelerator-lowering-fma.f64`
236×	`-lowering-.f32`
236×	`-lowering-.f64`
116×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	32	52
2	78	52
3	192	52
4	306	52
5	365	52
6	380	52
0	380	51

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* 2 (+ y y)) x)
(* 2 (+ y y))
2
(+ y y)
y
x
(+ y y)
y
(* 2 (+ y y))
2
(+ y y)
y
(* 4 (* y y))
4
(* y y)
y
(* (+ x 1) (+ y y))
(+ x 1)
x
1
(+ y y)
y

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

localize40.0ms (1.3%)

Memory

1.9MiB live, 78.7MiB allocated

Localize:

Found 11 expressions of interest:

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

Samples

25.0ms

256×

valid

Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions

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

ival-mult: 7.0ms (66.6% of total)

ival-add: 3.0ms (28.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

7 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(* (+ x 1) (+ y y))
0.0ms	y	@	inf	(* (+ x 1) (+ y y))
0.0ms	x	@	-inf	(* (+ x 1) (+ y y))
0.0ms	y	@	0	(* 2 (+ y y))
0.0ms	y	@	-inf	(* 2 (+ y y))

rewrite67.0ms (2.2%)

Memory

-33.9MiB live, 85.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

212×	`-lowering-.f32`
212×	`-lowering-.f64`
160×	`accelerator-lowering-fma.f32`
160×	`accelerator-lowering-fma.f64`
134×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	53	29
0	405	29

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

7 → 152

Calls

Call 1

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

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

simplify186.0ms (6.1%)

Memory

30.9MiB live, 386.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 440×	`accelerator-lowering-fma.f32`
4 440×	`accelerator-lowering-fma.f64`
3 042×	`-lowering-.f32`
3 042×	`-lowering-.f64`
1 548×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	478
1	91	478
2	210	478
3	585	478
4	1568	478
5	3923	478
6	6092	478
0	8034	457

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval47.0ms (1.5%)

Memory: -9.2MiB live, 110.7MiB allocated
Compiler: Compiled 4 432 to 363 computations (91.8% saved)

prune38.0ms (1.2%)

Memory

4.3MiB live, 81.1MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	435	5	440
Fresh	1	1	2
Picked	3	2	5
Done	0	5	5
Total	439	13	452

Accuracy

100.0%

Counts

452 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.0%	(fma.f64 y #s(literal 4 binary64) (+.f64 y y))
✓	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓	51.8%	(/.f64 x (+.f64 y y))
✓	3.0%	(+.f64 y y)
✓	3.2%	(*.f64 (+.f64 y y) y)
✓	3.7%	(*.f64 (+.f64 y y) x)
	3.6%	(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y #s(literal 4 binary64)))
	2.4%	(.f64 (.f64 (+.f64 y y) y) y)
	3.7%	(.f64 (.f64 y #s(literal 4 binary64)) x)
	3.0%	(*.f64 y #s(literal 4 binary64))
✓	3.2%	(.f64 #s(literal 4 binary64) (.f64 y y))
	3.0%	(.f64 #s(literal 2 binary64) (.f64 y #s(literal 4 binary64)))
✓	49.4%	#s(literal 1/2 binary64)

Compiler

Compiled 203 to 89 computations (56.2% saved)

regimes22.0ms (0.7%)

Memory

-7.6MiB live, 36.2MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
6.0ms	x
6.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes21.0ms (0.7%)

Memory

1.0MiB live, 39.0MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))

Calls

3 calls:

8.0ms	x
6.0ms	y
6.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes21.0ms (0.7%)

Memory

-1.5MiB live, 36.7MiB allocated

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
6.0ms	y
5.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
77.9%	3	`x`
74.2%	3	`y`
97.9%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes20.0ms (0.7%)

Memory

-3.9MiB live, 34.2MiB allocated

Accuracy

Total -30.6b remaining (-94.3%)

Threshold costs -30.6b (-94.3%)

Counts

17 → 1

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)

Calls

3 calls:

9.0ms	y
5.0ms	x
5.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
49.4%	1	`y`
49.4%	1	`x`
49.4%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000116036584262	23834204.791177794
0.0ms	-45379.74382417285	0.49995480961051764

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify8.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`if-if-or-not_binary32`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	22	41

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 (+.f64 x y) (+.f64 y y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -40000 binary64)) (/.f64 x (+.f64 y y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 x (+.f64 y y))))
#s(literal 1/2 binary64)

Outputs
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 (+.f64 x y) (+.f64 y y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -40000 binary64)) (/.f64 x (+.f64 y y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 x (+.f64 y y))))
#s(literal 1/2 binary64)

soundness417.0ms (13.6%)

Memory

-3.2MiB live, 148.5MiB allocated

Rules

4 752×	`accelerator-lowering-fma.f32`
4 752×	`accelerator-lowering-fma.f64`
2 672×	`-lowering-.f32`
2 672×	`-lowering-.f64`
1 714×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	240
1	95	240
2	195	240
3	539	240
4	2494	240
5	4900	240
6	6147	240
7	7103	240
8	7625	240
0	8012	222

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 68 to 30 computations (55.9% saved)

preprocess72.0ms (2.3%)

Memory: -4.3MiB live, 76.5MiB allocated
Compiler: Compiled 130 to 52 computations (60% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze28.0ms (0.9%)

sample708.0ms (23.2%)

preprocess108.0ms (3.5%)

explain68.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize40.0ms (1.3%)

series5.0ms (0.2%)

rewrite66.0ms (2.2%)

simplify233.0ms (7.6%)

eval11.0ms (0.4%)

prune11.0ms (0.4%)

simplify9.0ms (0.3%)

localize36.0ms (1.2%)

series9.0ms (0.3%)

rewrite78.0ms (2.5%)

simplify194.0ms (6.3%)

eval35.0ms (1.2%)

prune29.0ms (1%)

simplify10.0ms (0.3%)

localize26.0ms (0.9%)

series3.0ms (0.1%)

rewrite52.0ms (1.7%)

simplify211.0ms (6.9%)

eval47.0ms (1.5%)

prune47.0ms (1.5%)

simplify20.0ms (0.7%)

localize40.0ms (1.3%)

series9.0ms (0.3%)

rewrite67.0ms (2.2%)

simplify186.0ms (6.1%)

eval47.0ms (1.5%)

prune38.0ms (1.2%)

regimes22.0ms (0.7%)

regimes21.0ms (0.7%)

regimes21.0ms (0.7%)

regimes20.0ms (0.7%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

soundness417.0ms (13.6%)

preprocess72.0ms (2.3%)

end0.0ms (0%)

Profiling