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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze15.0ms (0.5%)

Memory

0.4MiB live, 42.1MiB 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)

sample835.0ms (29.4%)

Memory

-19.9MiB live, 655.1MiB allocated

Samples

547.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 363.0ms

ival-add: 242.0ms (66.7% of total)

ival-div: 111.0ms (30.6% of total)

ival-true: 6.0ms (1.7% of total)

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

Bogosity

explain75.0ms (2.7%)

Memory

2.9MiB live, 79.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms

512×

valid

Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions

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

ival-add: 5.0ms (54.8% of total)

ival-div: 4.0ms (43.8% of total)

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

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

preprocess90.0ms (3.2%)

Memory

11.0MiB live, 56.9MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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

10.5MiB live, 10.5MiB 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)

localize36.0ms (1.3%)

Memory

-15.1MiB live, 24.2MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

32.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-div: 2.0ms (45% of total)

ival-add: 2.0ms (45% of total)

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

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

series5.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB 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)))

simplify111.0ms (3.9%)

Memory

13.8MiB live, 52.2MiB 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)

rewrite67.0ms (2.3%)

Memory

-6.9MiB live, 32.5MiB 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: 9.8MiB live, 9.8MiB allocated
Compiler: Compiled 801 to 172 computations (78.5% saved)

prune3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	5	67

Accuracy

100.0%

Counts

67 → 5

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))
▶	4.3%	(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
▶	56.1%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
▶	45.5%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify118.0ms (4.1%)

Memory

-21.3MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
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	(*.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 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	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	71
0	23	71
1	44	71
2	103	70
3	309	70
4	530	70
5	718	70
6	1340	70
7	3061	70
8	3623	70
9	3721	70
10	3782	70
11	3815	70
12	3815	70
13	3815	70
0	3815	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (2.8%)

Memory

-4.4MiB live, 35.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0	(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	0	(+.f64 y x)
accuracy	0	(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	0	(neg.f64 (+.f64 y x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.1953125	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	28.01605946079349	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	34.8758223084169	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Samples

70.0ms

256×

valid

Compiler

Compiled 136 to 32 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 45.0ms (75.6% of total)

ival-mult: 9.0ms (15.1% of total)

ival-div: 3.0ms (5% of total)

ival-neg: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.4%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

9 → 36

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (+ y x) (* -2 y) (* (+ y x) (* -2 y)))
2.0ms	y	@	-inf	((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (+ y x) (* -2 y) (* (+ y x) (* -2 y)))
2.0ms	y	@	inf	((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (+ y x) (* -2 y) (* (+ y x) (* -2 y)))
2.0ms	y	@	0	((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (+ y x) (* -2 y) (* (+ y x) (* -2 y)))
1.0ms	x	@	inf	((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (+ y x) (* -2 y) (* (+ y x) (* -2 y)))

simplify105.0ms (3.7%)

Memory

5.1MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	188
1	221	168
2	563	168
3	1571	168
4	4007	168
5	6159	168
0	8045	165

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

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

rewrite97.0ms (3.4%)

Memory

-25.4MiB live, 14.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	55
0	23	56
1	89	54
0	633	54

Stop Event

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

Counts

9 → 268

Calls

Call 1

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

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

eval66.0ms (2.3%)

Memory: 0.3MiB live, 39.6MiB allocated
Compiler: Compiled 2 939 to 509 computations (82.7% saved)

prune5.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	199	4	203
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	201	7	208

Accuracy

100.0%

Counts

208 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	56.2%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	56.1%	#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))
✓	45.5%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
▶	1.8%	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
▶	3.2%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))

Compiler

Compiled 82 to 59 computations (28% saved)

simplify116.0ms (4.1%)

Memory

-2.6MiB live, 35.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	94
0	34	94
1	62	94
2	132	93
3	317	93
4	506	93
5	721	93
6	1384	93
7	2968	93
8	3400	93
9	3502	93
10	3573	93
11	3606	93
12	3606	93
13	3606	93
0	3606	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (2%)

Memory

16.3MiB live, 53.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	28.01605946079349	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 (+.f64 y y) x)
accuracy	61.62596332260513	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
accuracy	0	(.f64 (.f64 #s(literal -2 binary64) y) y)
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	28.133766673358227	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
accuracy	0	(.f64 (.f64 #s(literal 2 binary64) y) y)
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	28.133766673358227	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))

Samples

45.0ms

256×

valid

Compiler

Compiled 166 to 47 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 11.0ms (54.2% of total)

ival-add: 4.0ms (19.7% of total)

ival-div: 3.0ms (14.8% of total)

ival-neg: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.6%)

Memory

-21.8MiB live, 14.8MiB allocated

Counts

12 → 22

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	((* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))
2.0ms	y	@	-inf	((* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))
2.0ms	y	@	inf	((* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))
1.0ms	x	@	-inf	((* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))
1.0ms	x	@	inf	((* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))

simplify142.0ms (5%)

Memory

20.0MiB live, 103.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	146
1	155	126
2	372	126
3	803	126
4	2283	126
5	3808	126
6	5600	126
7	6698	126
8	7877	126
0	8212	123

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite44.0ms (1.5%)

Memory

-3.8MiB live, 34.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	85
0	34	82
1	105	76
0	658	76

Stop Event

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

Counts

12 → 271

Calls

Call 1

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

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

eval15.0ms (0.5%)

Memory: -18.1MiB live, 19.8MiB allocated
Compiler: Compiled 1 302 to 237 computations (81.8% saved)

prune5.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	84	10	94

Accuracy

100.0%

Counts

94 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	56.2%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	56.1%	#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))
✓	45.5%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
✓	1.8%	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
▶	3.7%	#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
▶	3.1%	#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
✓	3.2%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
▶	2.6%	#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))

Compiler

Compiled 118 to 88 computations (25.4% saved)

simplify75.0ms (2.6%)

Memory

-12.3MiB live, 68.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	50
0	17	50
1	33	50
2	74	47
3	229	47
4	415	47
5	656	47
6	1082	47
7	1562	47
8	1729	47
9	1742	47
10	1751	47
11	1752	47
12	1752	47
0	1752	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.9%)

Memory

28.2MiB live, 66.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	62.371660267801346	#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0	(+.f64 y y)
accuracy	61.037094349407745	#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
accuracy	0	(*.f64 y #s(literal -2 binary64))
accuracy	61.42021128496118	#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 90 to 28 computations (68.9% saved)

Precisions

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

ival-mult: 4.0ms (37.9% of total)

ival-add: 3.0ms (28.4% of total)

ival-div: 2.0ms (18.9% of total)

ival-neg: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

-28.6MiB live, 10.2MiB allocated

Counts

6 → 10

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y))
1.0ms	y	@	-inf	((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y))
1.0ms	y	@	0	((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y))
0.0ms	x	@	-inf	((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y))
0.0ms	x	@	inf	((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y))

simplify112.0ms (4%)

Memory

30.1MiB live, 111.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	64
1	87	54
2	217	54
3	491	54
4	1093	54
5	2695	54
6	6055	54
0	8102	54

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

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

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

rewrite35.0ms (1.2%)

Memory

-25.4MiB live, 53.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
0	17	45
1	60	45
0	336	45

Stop Event

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

Counts

6 → 53

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 10.7MiB live, 10.7MiB allocated
Compiler: Compiled 497 to 102 computations (79.5% saved)

prune5.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	34	10	44

Accuracy

100.0%

Counts

44 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	56.2%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	56.1%	#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))
✓	45.5%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
✓	1.8%	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
✓	3.7%	#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
✓	3.1%	#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
✓	3.2%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
✓	2.6%	#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))

Compiler

Compiled 251 to 128 computations (49% saved)

regimes29.0ms (1%)

Memory

-18.6MiB live, 64.1MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	(/.f64 (+.f64 x y) (+.f64 y y))
5.0ms	y
4.0ms	x

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)

regimes13.0ms (0.5%)

Memory

-5.2MiB live, 34.3MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.5%	3	`x`
81.3%	3	`y`
98.2%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

(/.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)

regimes12.0ms (0.4%)

Memory

-10.0MiB live, 29.4MiB allocated

Accuracy

Total -28.6b remaining (-81.9%)

Threshold costs -28.6b (-81.9%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
45.5%	1	`x`
45.5%	1	`y`
45.5%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000034643357537	1297321.3334528492
0.0ms	-6441.256066116601	0.36625370704951743

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000034643357537	1297321.3334528492
0.0ms	-6441.256066116601	0.36625370704951743

Compiler

Compiled 10 to 10 computations (0% saved)

simplify25.0ms (0.9%)

Memory

-15.0MiB live, 66.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	126
1	30	126

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5000 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 -5000 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))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5000 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 -5000 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 -5000 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 -5000 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))

soundness337.0ms (11.9%)

Memory

15.6MiB live, 215.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
0	23	56
1	89	54
0	633	54
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Compiler

Compiled 152 to 52 computations (65.8% saved)

preprocess41.0ms (1.4%)

Memory: 20.6MiB live, 100.6MiB allocated
Compiler: Compiled 280 to 70 computations (75% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze15.0ms (0.5%)

sample835.0ms (29.4%)

explain75.0ms (2.7%)

preprocess90.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize36.0ms (1.3%)

series5.0ms (0.2%)

simplify111.0ms (3.9%)

rewrite67.0ms (2.3%)

eval6.0ms (0.2%)

prune3.0ms (0.1%)

simplify118.0ms (4.1%)

localize79.0ms (2.8%)

series11.0ms (0.4%)

simplify105.0ms (3.7%)

rewrite97.0ms (3.4%)

eval66.0ms (2.3%)

prune5.0ms (0.2%)

simplify116.0ms (4.1%)

localize56.0ms (2%)

series16.0ms (0.6%)

simplify142.0ms (5%)

rewrite44.0ms (1.5%)

eval15.0ms (0.5%)

prune5.0ms (0.2%)

simplify75.0ms (2.6%)

localize26.0ms (0.9%)

series5.0ms (0.2%)

simplify112.0ms (4%)

rewrite35.0ms (1.2%)

eval3.0ms (0.1%)

prune5.0ms (0.2%)

regimes29.0ms (1%)

regimes13.0ms (0.5%)

regimes4.0ms (0.1%)

regimes12.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify25.0ms (0.9%)

soundness337.0ms (11.9%)

preprocess41.0ms (1.4%)

end0.0ms (0%)

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