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

18.5MiB live, 18.5MiB 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)

sample716.0ms (22.1%)

Memory

-32.2MiB live, 883.9MiB allocated

Samples

478.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-add: 95.0ms (50.8% of total)

ival-div: 83.0ms (44.4% of total)

ival-true: 6.0ms (3.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain87.0ms (2.7%)

Memory

25.1MiB live, 109.2MiB 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

21.0ms

512×

valid

Compiler

Compiled 71 to 29 computations (59.2% saved)

Precisions

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

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

ival-div: 4.0ms (42.3% of total)

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

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

preprocess85.0ms (2.6%)

Memory

-15.2MiB live, 22.7MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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

2.8MiB live, 2.8MiB 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)

localize17.0ms (0.5%)

Memory

-3.5MiB live, 33.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0	(+.f64 x y)
accuracy	0.01171875	(/.f64 (+.f64 x y) (+.f64 y y))

Samples

13.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-add: 4.0ms (60.9% of total)

ival-div: 2.0ms (30.5% of total)

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

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

series5.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB 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)))

simplify120.0ms (3.7%)

Memory

4.6MiB live, 89.8MiB 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)

rewrite49.0ms (1.5%)

Memory

-15.4MiB live, 59.3MiB 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)))

eval6.0ms (0.2%)

Memory: 13.7MiB live, 13.7MiB allocated
Compiler: Compiled 801 to 172 computations (78.5% saved)

prune4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Accuracy

100.0%

Counts

67 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	1.2%	(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
▶	4.1%	(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
▶	99.9%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
▶	51.4%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
▶	50.0%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 109 to 81 computations (25.7% saved)

simplify125.0ms (3.8%)

Memory

-24.2MiB live, 58.8MiB 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

localize44.0ms (1.3%)

Memory

4.5MiB live, 80.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.171875	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	31.049809805222946	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	0	(neg.f64 (+.f64 y x))
accuracy	0.00390625	(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.00390625	(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
accuracy	31.983466050095707	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
accuracy	0.07421875	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))

Samples

30.0ms

256×

valid

Compiler

Compiled 182 to 35 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 7.0ms (38.6% of total)

ival-mult: 6.0ms (33.1% of total)

ival-div: 3.0ms (16.5% of total)

ival-neg: 1.0ms (5.5% 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

17.2MiB live, 17.2MiB 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))

simplify155.0ms (4.8%)

Memory

-6.1MiB live, 114.4MiB 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)

rewrite57.0ms (1.8%)

Memory

13.0MiB live, 51.0MiB 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))

eval198.0ms (6.1%)

Memory: -17.8MiB live, 31.3MiB allocated
Compiler: Compiled 4 045 to 642 computations (84.1% saved)

prune9.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	254	6	260
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	256	10	266

Accuracy

100.0%

Counts

266 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	99.9%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
▶	26.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
▶	51.5%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	51.4%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
▶	3.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
✓	50.0%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
	1.7%	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
▶	3.7%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y x) #s(literal 2 binary64)))
▶	3.3%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))

Compiler

Compiled 205 to 146 computations (28.8% saved)

simplify168.0ms (5.2%)

Memory

-19.6MiB live, 58.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) #s(literal 2 binary64))
cost-diff	0	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y x) #s(literal 2 binary64)))
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	26	122
0	35	122
1	64	122
2	119	120
3	287	120
4	463	120
5	711	120
6	1382	120
7	3005	120
8	3440	120
9	3576	120
10	3642	120
11	3654	120
12	3656	120
13	3656	120
14	3696	120
15	3724	120
16	3724	120
0	3724	117

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

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

localize87.0ms (2.7%)

Memory

-10.2MiB live, 28.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.01171875	(.f64 (.f64 y x) #s(literal 2 binary64))
accuracy	26.15291152654685	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y x) #s(literal 2 binary64)))
accuracy	0	(.f64 (.f64 #s(literal 2 binary64) y) y)
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	27.396377033346432	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
accuracy	0	(fma.f64 (+.f64 y y) x #s(literal 1/2 binary64))
accuracy	0	(+.f64 y y)
accuracy	47.28660227307994	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 (+.f64 y y) x)
accuracy	61.60206282704935	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
accuracy	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	31.049809805222946	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))

Samples

33.0ms

256×

valid

Compiler

Compiled 216 to 48 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 11.0ms (52.1% of total)

ival-add: 5.0ms (23.7% of total)

ival-div: 3.0ms (14.2% of total)

ival-neg: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

14 → 20

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

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)))
(* x y)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 2 y) (* 1/2 (/ 1 x))))
(* 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)))))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* 2 y)
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* -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) (* (neg (+ y x)) (* -2 y)) (* (* y x) 2) (* y x))
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) (* (neg (+ y x)) (* -2 y)) (* (* y x) 2) (* y x))
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) (* (neg (+ y x)) (* -2 y)) (* (* y x) 2) (* y x))
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) (* (neg (+ y x)) (* -2 y)) (* (* y x) 2) (* y x))
1.0ms	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) (* (neg (+ y x)) (* -2 y)) (* (* y x) 2) (* y x))

simplify165.0ms (5.1%)

Memory

-16.6MiB live, 62.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	126
1	167	116
2	401	116
3	884	116
4	1558	116
5	3737	116
6	6331	116
0	8084	108

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

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

rewrite44.0ms (1.4%)

Memory

15.8MiB live, 15.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	106
0	35	103
1	120	100
0	751	100

Stop Event

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

Counts

14 → 242

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

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

eval15.0ms (0.4%)

Memory: 20.0MiB live, 20.0MiB allocated
Compiler: Compiled 2 591 to 418 computations (83.9% saved)

prune34.0ms (1%)

Memory

-23.0MiB live, 13.5MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	0	1	1
Picked	1	4	5
Done	0	4	4
Total	151	11	162

Accuracy

100.0%

Counts

162 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	99.9%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
✓	26.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
✓	51.5%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	51.4%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
✓	3.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
▶	3.0%	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (*.f64 y y) #s(literal 2 binary64)) x))
▶	3.1%	#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 2 binary64) y))
✓	50.0%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
▶	1.7%	#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 136 to 95 computations (30.1% saved)

simplify6.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	72
0	25	72
1	40	72
2	73	72
3	112	72
4	121	72
5	122	72
0	122	72

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (2%)

Memory

7.0MiB live, 45.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.015625	(.f64 (.f64 y y) #s(literal 2 binary64))
accuracy	6.390199056237009	(.f64 (.f64 (*.f64 y y) #s(literal 2 binary64)) x)
accuracy	62.080369057986665	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (*.f64 y y) #s(literal 2 binary64)) x))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	62.03508252750927	#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 2 binary64) y))
accuracy	0	(.f64 (.f64 #s(literal -2 binary64) y) y)
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	27.396377033346432	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))

Samples

25.0ms

256×

valid

Compiler

Compiled 128 to 37 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (62.6% of total)

ival-add: 4.0ms (25.1% of total)

ival-div: 2.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

9 → 17

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* 2 y) (/ (+ x y) (+ y y)) (* (* (* y y) 2) x) (* (* y y) 2) (* y y))
2.0ms	y	@	inf	((* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* 2 y) (/ (+ x y) (+ y y)) (* (* (* y y) 2) x) (* (* y y) 2) (* y y))
2.0ms	y	@	-inf	((* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* 2 y) (/ (+ x y) (+ y y)) (* (* (* y y) 2) x) (* (* y y) 2) (* y y))
1.0ms	y	@	0	((* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* 2 y) (/ (+ x y) (+ y y)) (* (* (* y y) 2) x) (* (* y y) 2) (* y y))
1.0ms	x	@	inf	((* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* 2 y) (/ (+ x y) (+ y y)) (* (* (* y y) 2) x) (* (* y y) 2) (* y y))

simplify135.0ms (4.2%)

Memory

-6.8MiB live, 74.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	103
1	126	93
2	284	93
3	549	93
4	1169	93
5	2761	93
6	5003	93
7	7323	93
0	8074	90

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite47.0ms (1.4%)

Memory

8.5MiB live, 45.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	65
0	25	63
1	76	55
0	528	55

Stop Event

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

Counts

9 → 172

Calls

Call 1

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

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

eval32.0ms (1%)

Memory: -26.5MiB live, 12.3MiB allocated
Compiler: Compiled 951 to 182 computations (80.9% saved)

prune7.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	0	0
Picked	1	2	3
Done	0	8	8
Total	63	13	76

Accuracy

100.0%

Counts

76 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	99.9%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
✓	26.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
✓	51.5%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	51.4%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
✓	3.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
✓	3.0%	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (*.f64 y y) #s(literal 2 binary64)) x))
✓	50.0%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
	3.7%	#s(approx (* (+ y x) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
	3.1%	#s(approx (* (+ y x) (* -2 y)) (+.f64 y y))
✓	1.7%	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
	2.7%	#s(approx (* (+ y x) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
✓	3.3%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))

Compiler

Compiled 356 to 165 computations (53.7% saved)

regimes59.0ms (1.8%)

Memory

-29.5MiB live, 19.5MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	x
5.0ms	y
5.0ms	(/.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 9 to 9 computations (0% saved)

regimes16.0ms (0.5%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes35.0ms (1.1%)

Memory

-12.8MiB live, 26.3MiB allocated

Counts

15 → 3

Calls

Call 1

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

25.0ms	x
5.0ms	y
4.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
78.1%	3	`x`
78.1%	3	`y`
98.1%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

14 → 3

Calls

Call 1

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

4.0ms

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

Results

Accuracy	Segments	Branch
98.0%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.4%)

Memory

24.8MiB live, 24.8MiB allocated

Accuracy

Total -31.5b remaining (-98.4%)

Threshold costs -31.5b (-98.4%)

Counts

13 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
50.0%	1	`x`
50.0%	1	`y`
50.0%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5011239283337021	7405.823688452449
0.0ms	-63766332.57034382	0.4076641580325596

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5011239283337021	7405.823688452449
0.0ms	-63766332.57034382	0.4076641580325596

Compiler

Compiled 10 to 10 computations (0% saved)

simplify36.0ms (1.1%)

Memory

-30.8MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	140
1	32	140

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 -50000000 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 -50000000 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))

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 -50000000 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 -50000000 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 -50000000 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 -50000000 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))

soundness478.0ms (14.8%)

Memory

11.0MiB live, 251.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	26	74
1	107	74
0	785	74
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×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 172 to 59 computations (65.7% saved)

preprocess72.0ms (2.2%)

Memory: -7.1MiB live, 68.0MiB allocated
Compiler: Compiled 308 to 74 computations (76% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze10.0ms (0.3%)

sample716.0ms (22.1%)

explain87.0ms (2.7%)

preprocess85.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize17.0ms (0.5%)

series5.0ms (0.1%)

simplify120.0ms (3.7%)

rewrite49.0ms (1.5%)

eval6.0ms (0.2%)

prune4.0ms (0.1%)

simplify125.0ms (3.8%)

localize44.0ms (1.3%)

series11.0ms (0.3%)

simplify155.0ms (4.8%)

rewrite57.0ms (1.8%)

eval198.0ms (6.1%)

prune9.0ms (0.3%)

simplify168.0ms (5.2%)

localize87.0ms (2.7%)

series10.0ms (0.3%)

simplify165.0ms (5.1%)

rewrite44.0ms (1.4%)

eval15.0ms (0.4%)

prune34.0ms (1%)

simplify6.0ms (0.2%)

localize64.0ms (2%)

series10.0ms (0.3%)

simplify135.0ms (4.2%)

rewrite47.0ms (1.4%)

eval32.0ms (1%)

prune7.0ms (0.2%)

regimes59.0ms (1.8%)

regimes16.0ms (0.5%)

regimes35.0ms (1.1%)

regimes5.0ms (0.2%)

regimes14.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify36.0ms (1.1%)

soundness478.0ms (14.8%)

preprocess72.0ms (2.2%)

end0.0ms (0%)

Profiling