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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.3%)

Memory

13.2MiB live, 13.2MiB 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)

sample894.0ms (22.3%)

Memory

16.7MiB live, 767.4MiB allocated

Samples

607.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 376.0ms

ival-add: 252.0ms (67% of total)

ival-div: 115.0ms (30.6% of total)

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

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

Bogosity

explain65.0ms (1.6%)

Memory

-0.5MiB live, 74.7MiB 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

20.0ms

512×

valid

Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions

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

ival-add: 5.0ms (56% of total)

ival-div: 3.0ms (33.6% of total)

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

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

preprocess89.0ms (2.2%)

Memory

-31.1MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

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
0	8	7
1	11	7
2	14	7
3	16	7
0	16	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-384	(/.f64 (+.f64 x y) (+.f64 y y))
cost-diff	-128	(+.f64 y y)
cost-diff	0	(+.f64 x y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	11	15
2	14	15
3	16	15
0	16	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.4%)

Memory

16.2MiB live, 16.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(+.f64 x y)
accuracy	0.01171875	(/.f64 (+.f64 x y) (+.f64 y y))

Samples

10.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (46.3% of total)

ival-add: 2.0ms (46.3% of total)

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

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

series5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

3 → 13

Calls

Call 1

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

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

Calls

6 calls:

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

simplify110.0ms (2.8%)

Memory

7.4MiB live, 81.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	47
1	95	47
2	195	47
3	529	47
4	2417	47
5	4821	47
6	6094	47
7	7050	47
8	7573	47
0	8036	44

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 11

Calls

Call 1

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

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

rewrite74.0ms (1.8%)

Memory

-22.9MiB live, 60.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	38	13
0	305	13

Stop Event

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

Counts

3 → 61

Calls

Call 1

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

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

eval7.0ms (0.2%)

Memory: 13.2MiB live, 13.2MiB allocated
Compiler: Compiled 801 to 172 computations (78.5% saved)

prune11.0ms (0.3%)

Memory

-24.3MiB live, 13.7MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	7	67

Accuracy

100.0%

Counts

67 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
	35.1%	(.f64 (/.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
▶	1.2%	(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
▶	4.3%	(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
▶	99.8%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
▶	51.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
▶	48.6%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 137 to 103 computations (24.8% saved)

simplify131.0ms (3.3%)

Memory

12.7MiB live, 88.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	97
0	26	97
1	48	97
2	107	96
3	309	96
4	532	96
5	721	96
6	1343	93
7	3060	93
8	3609	93
9	3707	93
10	3756	93
11	3789	93
12	3789	93
13	3789	93
0	3789	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (2.3%)

Memory

-21.5MiB live, 72.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.2734375	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	30.789203965733883	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.0	(neg.f64 (+.f64 y x))
accuracy	0.00390625	(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.00390625	(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
accuracy	32.88662644190367	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
accuracy	0.15234375	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))

Samples

46.0ms

256×

valid

Compiler

Compiled 182 to 35 computations (80.8% saved)

Precisions

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

ival-mult: 6.0ms (38.9% of total)

ival-add: 5.0ms (32.4% of total)

ival-div: 3.0ms (19.4% of total)

ival-neg: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

11 → 37

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y) (/ (+ x y) (+ y y)) (* (+ y x) (* -2 y)) (+ y x) (* -2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x))
2.0ms	y	@	-inf	((/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y) (/ (+ x y) (+ y y)) (* (+ y x) (* -2 y)) (+ y x) (* -2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x))
2.0ms	y	@	inf	((/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y) (/ (+ x y) (+ y y)) (* (+ y x) (* -2 y)) (+ y x) (* -2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x))
2.0ms	x	@	inf	((/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y) (/ (+ x y) (+ y y)) (* (+ y x) (* -2 y)) (+ y x) (* -2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x))
2.0ms	y	@	0	((/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y) (/ (+ x y) (+ y y)) (* (+ y x) (* -2 y)) (+ y x) (* -2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x))

simplify138.0ms (3.5%)

Memory

4.1MiB live, 81.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	195
1	226	175
2	567	175
3	1567	175
4	3992	175
5	6151	175
0	8059	171

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 35

Calls

Call 1

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

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

rewrite76.0ms (1.9%)

Memory

4.2MiB live, 48.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	26	74
1	107	74
0	785	74

Stop Event

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

Counts

11 → 287

Calls

Call 1

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

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

eval59.0ms (1.5%)

Memory: -6.6MiB live, 32.0MiB allocated
Compiler: Compiled 4 045 to 642 computations (84.1% saved)

prune11.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	254	6	260
Fresh	0	1	1
Picked	3	2	5
Done	0	1	1
Total	257	10	267

Accuracy

100.0%

Counts

267 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
	35.1%	(.f64 (/.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
✓	99.8%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
▶	29.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
▶	51.9%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
	29.1%	#s(approx (/ (+ x y) (+ y y)) (+.f64 (.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 1/2 binary64)))
▶	3.9%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
✓	48.6%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
▶	1.9%	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
▶	3.3%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))

Compiler

Compiled 222 to 159 computations (28.4% saved)

simplify165.0ms (4.1%)

Memory

-1.1MiB live, 38.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	120
0	36	120
1	65	120
2	135	119
3	333	119
4	524	119
5	741	119
6	1408	119
7	3018	119
8	3446	119
9	3583	119
10	3647	119
11	3659	119
12	3661	119
13	3661	119
14	3701	119
15	3729	119
16	3729	119
0	3729	116

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize108.0ms (2.7%)

Memory

-18.9MiB live, 60.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 #s(literal -2 binary64) y) y)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	26.89206207886522	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
accuracy	0.0	(.f64 (.f64 #s(literal 2 binary64) y) y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	26.89206207886522	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
accuracy	0.0	(fma.f64 (+.f64 y y) x #s(literal 1/2 binary64))
accuracy	0.0	(+.f64 y y)
accuracy	45.37426103760111	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 (+.f64 y y) x)
accuracy	61.51333697247704	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
accuracy	0.0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	30.789203965733883	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))

Samples

87.0ms

256×

valid

Compiler

Compiled 212 to 50 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-add: 44.0ms (58.9% of total)

ival-mult: 26.0ms (34.8% of total)

ival-div: 3.0ms (4% of total)

ival-neg: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

14 → 27

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (+ (* (+ y y) x) 1/2) (* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y))
2.0ms	y	@	inf	((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (+ (* (+ y y) x) 1/2) (* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y))
2.0ms	y	@	0	((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (+ (* (+ y y) x) 1/2) (* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y))
2.0ms	x	@	-inf	((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (+ (* (+ y y) x) 1/2) (* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y))
1.0ms	x	@	inf	((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (+ (* (+ y y) x) 1/2) (* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y))

simplify119.0ms (3%)

Memory

-3.7MiB live, 70.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	181
1	197	161
2	497	161
3	1109	161
4	2648	161
5	5035	161
6	6855	161
0	8142	153

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite73.0ms (1.8%)

Memory

-0.7MiB live, 38.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	105
0	36	102
1	122	96
0	788	96

Stop Event

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

Counts

14 → 298

Calls

Call 1

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

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

eval48.0ms (1.2%)

Memory: 1.5MiB live, 44.5MiB allocated
Compiler: Compiled 2 665 to 432 computations (83.8% saved)

prune7.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	1	1	2
Picked	0	5	5
Done	0	3	3
Total	156	11	167

Accuracy

100.0%

Counts

167 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	35.1%	(.f64 (/.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
✓	99.8%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
✓	29.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
▶	29.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (*.f64 y x) #s(literal 2 binary64) #s(literal 1/2 binary64)))
✓	51.9%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	3.9%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
✓	48.6%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
✓	1.9%	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
▶	3.1%	#s(approx (* (+ y x) (* -2 y)) (*.f64 #s(literal 2 binary64) y))
✓	3.3%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))

Compiler

Compiled 136 to 98 computations (27.9% saved)

simplify231.0ms (5.8%)

Memory

-10.5MiB live, 149.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))
cost-diff	64	(fma.f64 y y #s(literal 0 binary64))
cost-diff	7232	(.f64 (/.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (*.f64 y x) #s(literal 2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	#s(approx (* (+ y x) (* -2 y)) (*.f64 #s(literal 2 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	86
0	35	84
1	63	84
2	142	84
3	343	78
4	737	78
5	1473	78
6	3489	78
7	4038	78
8	4456	78
9	4792	78
10	5327	78
11	6243	78
12	7825	78
0	8023	76

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (2.9%)

Memory

-19.0MiB live, 97.8MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))
accuracy	7.819021323160781	(/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))
accuracy	32.92576741891113	(.f64 (/.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(fma.f64 (*.f64 y x) #s(literal 2 binary64) #s(literal 1/2 binary64))
accuracy	45.37426103760111	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (*.f64 y x) #s(literal 2 binary64) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	61.510536278180275	#s(approx (* (+ y x) (* -2 y)) (*.f64 #s(literal 2 binary64) y))

Samples

59.0ms

256×

valid

Compiler

Compiled 166 to 49 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 12.0ms (46.9% of total)

ival-add: 6.0ms (23.5% of total)

ival-pow: 4.0ms (15.6% of total)

ival-div: 3.0ms (11.7% of total)

exact: 1.0ms (3.9% of total)

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

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

series12.0ms (0.3%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

10 → 35

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((* (+ y x) (* -2 y)) (* 2 y) (/ (+ x y) (+ y y)) (+ (* (* y x) 2) 1/2) (* y x) (* (/ (+ y x) (* 2 (pow y 3))) (+ (* y y) 0)) (+ (* y y) 0) (/ (+ y x) (* 2 (pow y 3))) (+ y x) (* 2 (pow y 3)))
2.0ms	y	@	-inf	((* (+ y x) (* -2 y)) (* 2 y) (/ (+ x y) (+ y y)) (+ (* (* y x) 2) 1/2) (* y x) (* (/ (+ y x) (* 2 (pow y 3))) (+ (* y y) 0)) (+ (* y y) 0) (/ (+ y x) (* 2 (pow y 3))) (+ y x) (* 2 (pow y 3)))
2.0ms	y	@	inf	((* (+ y x) (* -2 y)) (* 2 y) (/ (+ x y) (+ y y)) (+ (* (* y x) 2) 1/2) (* y x) (* (/ (+ y x) (* 2 (pow y 3))) (+ (* y y) 0)) (+ (* y y) 0) (/ (+ y x) (* 2 (pow y 3))) (+ y x) (* 2 (pow y 3)))
1.0ms	x	@	-inf	((* (+ y x) (* -2 y)) (* 2 y) (/ (+ x y) (+ y y)) (+ (* (* y x) 2) 1/2) (* y x) (* (/ (+ y x) (* 2 (pow y 3))) (+ (* y y) 0)) (+ (* y y) 0) (/ (+ y x) (* 2 (pow y 3))) (+ y x) (* 2 (pow y 3)))
1.0ms	y	@	0	((* (+ y x) (* -2 y)) (* 2 y) (/ (+ x y) (+ y y)) (+ (* (* y x) 2) 1/2) (* y x) (* (/ (+ y x) (* 2 (pow y 3))) (+ (* y y) 0)) (+ (* y y) 0) (/ (+ y x) (* 2 (pow y 3))) (+ y x) (* 2 (pow y 3)))

simplify197.0ms (4.9%)

Memory

-13.2MiB live, 225.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	217
1	257	207
2	606	199
3	1814	191
4	3520	191
5	7700	191
0	8189	183

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 33

Calls

Call 1

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

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

rewrite84.0ms (2.1%)

Memory

-10.6MiB live, 185.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	72
0	35	52
1	138	26
2	1273	18
0	10399	18

Stop Event

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

Counts

10 → 213

Calls

Call 1

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

Outputs
#s(approx (* (+ y x) (* -2 y)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (* (+ y x) (* -2 y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 y y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(.f64 (.f64 y (*.f64 (-.f64 y x) (-.f64 x y))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 y (fma.f64 x x (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 10 binary64))) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 8 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 y y))
(.f64 (/.f64 (.f64 y y) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 y y) (pow.f64 y #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))
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(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y y)))
(neg.f64 (-.f64 y x))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (.f64 y y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 y x))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 y y))) (-.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (-.f64 y x))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (.f64 y y)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 (.f64 y y) (fma.f64 x x (.f64 y y))) (-.f64 x y) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (-.f64 y x) (-.f64 x y))) (-.f64 x y) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (.f64 y y)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 #s(literal -1 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (-.f64 y x))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (.f64 y y))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 y x)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (-.f64 x y) #s(literal 0 binary64))
(-.f64 x y)
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 y x))))
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(+.f64 x (neg.f64 y))
(+.f64 x y)
(+.f64 y x)
#s(literal 0 binary64)

eval46.0ms (1.2%)

Memory: 33.7MiB live, 117.1MiB allocated
Compiler: Compiled 4 956 to 728 computations (85.3% saved)

prune14.0ms (0.3%)

Memory

-8.3MiB live, 31.2MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	223	2	225
Fresh	0	0	0
Picked	1	2	3
Done	0	8	8
Total	224	12	236

Accuracy

100.0%

Counts

236 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
	35.1%	(.f64 (/.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
✓	99.8%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
✓	29.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
✓	29.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (*.f64 y x) #s(literal 2 binary64) #s(literal 1/2 binary64)))
✓	51.9%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	3.9%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
✓	48.6%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
✓	1.9%	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
✓	3.1%	#s(approx (* (+ y x) (* -2 y)) (*.f64 #s(literal 2 binary64) y))
	2.6%	#s(approx (* (+ y x) (* -2 y)) #s(literal 0 binary64))
✓	3.3%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))

Compiler

Compiled 345 to 162 computations (53% saved)

regimes19.0ms (0.5%)

Memory

-21.4MiB live, 57.3MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(/.f64 (+.f64 x y) (+.f64 y y))
6.0ms	x
6.0ms	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 9 to 9 computations (0% saved)

regimes15.0ms (0.4%)

Memory

11.9MiB live, 54.6MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
5.0ms	x
4.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes15.0ms (0.4%)

Memory

6.3MiB live, 45.8MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

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

Calls

3 calls:

5.0ms	y
4.0ms	x
4.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
74.8%	3	`x`
75.6%	3	`y`
96.9%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory

-21.4MiB live, 18.1MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
96.7%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.3%)

Memory

3.7MiB live, 43.0MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	y
3.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
48.6%	1	`x`
48.6%	1	`y`
48.6%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (+ y x) (* -2 y)) #s(literal 0 binary64))

Outputs
#s(approx (* (+ y x) (* -2 y)) #s(literal 0 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (+.f64 x y) (+.f64 y y))
1.0ms	y

Results

Accuracy	Segments	Branch
2.6%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`
2.6%	1	`y`
2.6%	1	`x`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7633365797188061	44.85735643722588
0.0ms	-11.647831266378825	0.25157002605053835

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7633365797188061	44.85735643722588
0.0ms	-11.647831266378825	0.25157002605053835

Compiler

Compiled 10 to 10 computations (0% saved)

simplify25.0ms (0.6%)

Memory

11.0MiB live, 92.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	149
1	37	149

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (+ y x) (* -2 y)) #s(literal 0 binary64))

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 y x) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 y y)) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 y y)) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (+ y x) (* -2 y)) #s(literal 0 binary64))

soundness830.0ms (20.7%)

Memory

-7.3MiB live, 633.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	105
0	36	102
1	122	96
0	788	96
0	5	13
0	8	13
1	38	13
0	305	13
0	74	195
1	226	175
2	567	175
3	1567	175
4	3992	175
5	6151	175
0	8059	171
0	18	75
0	26	74
1	107	74
0	785	74
0	24	72
0	35	52
1	138	26
2	1273	18
0	10399	18
0	34	47
1	95	47
2	195	47
3	529	47
4	2417	47
5	4821	47
6	6094	47
7	7050	47
8	7573	47
0	8036	44

Stop Event

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

Compiler

Compiled 234 to 100 computations (57.3% saved)

preprocess43.0ms (1.1%)

Memory: -17.5MiB live, 141.1MiB allocated
Compiler: Compiled 326 to 86 computations (73.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze10.0ms (0.3%)

sample894.0ms (22.3%)

explain65.0ms (1.6%)

preprocess89.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.4%)

series5.0ms (0.1%)

simplify110.0ms (2.8%)

rewrite74.0ms (1.8%)

eval7.0ms (0.2%)

prune11.0ms (0.3%)

simplify131.0ms (3.3%)

localize92.0ms (2.3%)

series11.0ms (0.3%)

simplify138.0ms (3.5%)

rewrite76.0ms (1.9%)

eval59.0ms (1.5%)

prune11.0ms (0.3%)

simplify165.0ms (4.1%)

localize108.0ms (2.7%)

series12.0ms (0.3%)

simplify119.0ms (3%)

rewrite73.0ms (1.8%)

eval48.0ms (1.2%)

prune7.0ms (0.2%)

simplify231.0ms (5.8%)

localize116.0ms (2.9%)

series12.0ms (0.3%)

simplify197.0ms (4.9%)

rewrite84.0ms (2.1%)

eval46.0ms (1.2%)

prune14.0ms (0.3%)

regimes19.0ms (0.5%)

regimes15.0ms (0.4%)

regimes15.0ms (0.4%)

regimes5.0ms (0.1%)

regimes13.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify25.0ms (0.6%)

soundness830.0ms (20.7%)

preprocess43.0ms (1.1%)

end0.0ms (0%)

Profiling