Metrics for Numeric.Interval.Internal:bisect from intervals-0.7.1, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample804.0ms (23.1%)

Memory

15.0MiB live, 900.0MiB allocated

Samples

544.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-div: 67.0ms (35.2% of total)

ival-sub: 65.0ms (34.2% of total)

ival-add: 45.0ms (23.7% of total)

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

exact: 4.0ms (2.1% of total)

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

Bogosity

explain64.0ms (1.9%)

Memory

-17.4MiB live, 105.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`
-	-	`(-.f64 y x)`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (-.f64 y x) #s(literal 2 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 3.0ms (30.6% of total)

ival-div: 3.0ms (30.6% of total)

ival-add: 2.0ms (20.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess357.0ms (10.3%)

Memory

28.9MiB live, 257.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	44	35
2	137	35
3	380	29
4	644	25
5	942	25
6	2325	25
7	3100	25
8	3417	25
9	3516	25
10	3581	25
11	3584	25
12	3600	25
13	3609	25
14	3609	25
15	3609	25
16	3609	25
0	6	7
0	9	7
1	15	7
2	26	7
3	46	7
4	87	7
5	150	7
6	326	7
7	532	6
8	1267	5
9	1983	5
10	2394	5
11	2412	5
12	2426	5
13	2426	5
14	3366	5
15	3909	5
16	4065	5
17	4124	5
18	4532	5
19	6372	5
20	7036	5
21	7968	5
0	8322	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune22.0ms (0.6%)

Memory

-9.8MiB live, 36.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify238.0ms (6.8%)

Memory

-21.7MiB live, 204.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	192	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (-.f64 y x) #s(literal 2 binary64))

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	46	18
4	87	18
5	150	18
6	326	18
7	532	17
8	1267	16
9	1983	16
10	2394	16
11	2412	16
12	2426	16
13	2426	16
14	3366	16
15	3909	16
16	4065	16
17	4124	16
18	4532	16
19	6372	16
20	7036	16
21	7968	16
0	8322	16

Stop Event

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

Calls

Call 1

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

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

localize17.0ms (0.5%)

Memory

17.0MiB live, 56.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (-.f64 y x) #s(literal 2 binary64))
accuracy	0	(-.f64 y x)
accuracy	0.01171875	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (41.9% of total)

ival-sub: 1.0ms (20.9% of total)

ival-add: 1.0ms (20.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())

Inputs

#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())

#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())

#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify114.0ms (3.3%)

Memory

1.4MiB live, 129.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	315
1	177	315
2	499	279
3	1522	279
4	5228	279
5	7511	279
0	8235	279

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite207.0ms (6%)

Memory

-33.1MiB live, 203.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	48	15
2	400	15
3	5082	15
0	8211	14

Stop Event

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

Counts

3 → 344

Calls

Call 1

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

Outputs
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eval60.0ms (1.7%)

Memory: 40.9MiB live, 115.0MiB allocated
Compiler: Compiled 7 634 to 1 110 computations (85.5% saved)

prune9.0ms (0.3%)

Memory

-4.5MiB live, 30.1MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	410	3	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	411	3	414

Accuracy

100.0%

Counts

414 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64)))
▶	53.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	48.8%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Status

Accuracy

Program

▶

100.0%

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

▶

53.0%

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

▶

48.8%

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

Compiler

Compiled 35 to 28 computations (20% saved)

simplify245.0ms (7.1%)

Memory

-9.7MiB live, 160.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	18	56
1	28	56
2	41	56
3	61	56
4	102	56
5	171	56
6	368	56
7	609	50
8	1514	50
9	2188	50
10	2565	50
11	2581	50
12	2593	50
13	2593	50
14	3552	50
15	4104	50
16	4260	50
17	4318	50
18	4726	50
19	6570	50
20	7234	50
0	8076	50

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (2%)

Memory

-4.7MiB live, 40.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
accuracy	0	#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	30.088560274667206	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	32.73726144367963	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Samples

64.0ms

256×

valid

Compiler

Compiled 100 to 27 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 33.0ms (80.3% of total)

ival-mult: 4.0ms (9.7% of total)

ival-sub: 2.0ms (4.9% of total)

ival-div: 2.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify228.0ms (6.5%)

Memory

-18.4MiB live, 93.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	564
1	152	564
2	369	564
3	1199	564
4	4189	564
5	6757	564
0	8264	564

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 138

Calls

Call 1

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

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

rewrite220.0ms (6.3%)

Memory

7.0MiB live, 283.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	18	49
1	68	49
2	511	49
3	6608	49
0	8166	46

Stop Event

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

Counts

7 → 152

Calls

Call 1

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

Outputs
#<batchref>
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#<batchref>
#<batchref>

eval132.0ms (3.8%)

Memory: 28.7MiB live, 67.2MiB allocated
Compiler: Compiled 5 544 to 602 computations (89.1% saved)

prune51.0ms (1.5%)

Memory

-39.1MiB live, 32.7MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	290	0	290
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	290	3	293

Accuracy

100.0%

Counts

293 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

53.0%

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

✓

48.8%

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

Compiler

Compiled 77 to 46 computations (40.3% saved)

regimes11.0ms (0.3%)

Memory

-20.4MiB live, 15.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
2.0ms	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.2%)

Memory

15.3MiB live, 15.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
81.3%	2	`x`
82.7%	2	`y`
98.5%	2	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.8%	1	`x`
48.8%	1	`y`
48.8%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.659059142391462e-265	2.3018446160482e-248

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify26.0ms (0.8%)

Memory

0.0MiB live, 75.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	56
1	27	56
2	32	56
3	34	56
4	35	56

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)))

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

Outputs

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

(if (<=.f64 (+.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) #s(literal -7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)))

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

soundness534.0ms (15.3%)

Memory

-34.7MiB live, 172.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	315
1	177	315
2	499	279
3	1522	279
4	5228	279
5	7511	279
0	8235	279

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 70 to 38 computations (45.7% saved)

preprocess45.0ms (1.3%)

Memory: 10.9MiB live, 84.3MiB allocated
Remove: (sort x y)
Compiler: Compiled 188 to 104 computations (44.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample804.0ms (23.1%)

explain64.0ms (1.9%)

preprocess357.0ms (10.3%)

eval0.0ms (0%)

prune22.0ms (0.6%)

simplify238.0ms (6.8%)

localize17.0ms (0.5%)

series5.0ms (0.1%)

simplify114.0ms (3.3%)

rewrite207.0ms (6%)

eval60.0ms (1.7%)

prune9.0ms (0.3%)

simplify245.0ms (7.1%)

localize71.0ms (2%)

series9.0ms (0.2%)

simplify228.0ms (6.5%)

rewrite220.0ms (6.3%)

eval132.0ms (3.8%)

prune51.0ms (1.5%)

regimes11.0ms (0.3%)

regimes5.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify26.0ms (0.8%)

soundness534.0ms (15.3%)

preprocess45.0ms (1.3%)

end0.0ms (0%)

Profiling