Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze19.0ms (0.6%)

Memory

-28.2MiB live, 9.6MiB 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
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample922.0ms (29.4%)

Memory

29.9MiB live, 783.3MiB allocated

Samples

637.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-sub: 75.0ms (50.2% of total)

ival-div: 65.0ms (43.5% of total)

ival-true: 6.0ms (4% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

explain140.0ms (4.5%)

Memory

15.7MiB live, 53.0MiB allocated

FPErrors

Click to see full error table

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

19.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

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

ival-div: 4.0ms (51.6% of total)

ival-sub: 3.0ms (38.7% of total)

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

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

preprocess160.0ms (5.1%)

Memory

2.8MiB live, 39.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	44	27
2	129	25
3	347	25
4	825	25
5	1162	25
6	1200	25
7	1228	25
8	1283	25
9	1303	25
0	4	5
0	6	5
1	11	5
2	19	5
3	32	5
4	55	5
5	88	5
6	129	5
7	258	5
8	547	5
9	610	5
10	628	5
11	652	5
12	653	5
0	653	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

simplify106.0ms (3.4%)

Memory

-35.9MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	11	10
2	19	10
3	32	10
4	55	10
5	88	10
6	129	10
7	258	10
8	547	10
9	610	10
10	628	10
11	652	10
12	653	10
0	653	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.4%)

Memory

14.0MiB live, 14.0MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

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

ival-div: 2.0ms (54.5% of total)

ival-sub: 1.0ms (27.2% of total)

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

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

series3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

6 calls:

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

simplify214.0ms (6.8%)

Memory

-9.9MiB live, 96.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	186
1	78	168
2	219	168
3	570	168
4	1458	168
5	2857	168
6	3896	168
7	4683	168
8	5005	168
9	5246	168
10	7496	168
11	7990	168
0	8114	168

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

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

rewrite286.0ms (9.1%)

Memory

-11.9MiB live, 117.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	32	8
2	236	8
3	2382	8
0	8414	8

Stop Event

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

Counts

2 → 431

Calls

Call 1

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

Outputs
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eval109.0ms (3.5%)

Memory: 8.1MiB live, 92.2MiB allocated
Compiler: Compiled 10 355 to 1 296 computations (87.5% saved)

prune26.0ms (0.8%)

Memory

-7.5MiB live, 30.2MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	474	2	476
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	474	3	477

Accuracy

100.0%

Counts

477 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) x)
▶	55.4%	(/.f64 #s(approx (- x y) (neg.f64 y)) x)
▶	46.3%	#s(approx (/ (- x y) x) #s(literal 1 binary64))

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify23.0ms (0.7%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
0	11	26
1	20	26
2	28	26
3	43	26
4	67	26
5	104	26
6	144	26
7	276	26
8	557	26
9	655	26
10	697	26
11	730	26
12	755	26
13	764	26
0	764	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (1.7%)

Memory

-9.4MiB live, 27.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(approx (- x y) (neg.f64 y)) x)
accuracy	0	(neg.f64 y)
accuracy	28.62684519526976	#s(approx (- x y) (neg.f64 y))
accuracy	34.34725210783612	#s(approx (/ (- x y) x) #s(literal 1 binary64))

Samples

47.0ms

256×

valid

Compiler

Compiled 35 to 15 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-neg: 34.0ms (89.5% of total)

ival-sub: 2.0ms (5.3% of total)

ival-div: 2.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	((/ (- x y) x) (/ (- x y) x) (- x y) (neg y))
0.0ms	y	@	-inf	((/ (- x y) x) (/ (- x y) x) (- x y) (neg y))
0.0ms	y	@	0	((/ (- x y) x) (/ (- x y) x) (- x y) (neg y))
0.0ms	x	@	inf	((/ (- x y) x) (/ (- x y) x) (- x y) (neg y))
0.0ms	x	@	-inf	((/ (- x y) x) (/ (- x y) x) (- x y) (neg y))

simplify210.0ms (6.7%)

Memory

17.1MiB live, 136.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	333
1	78	297
2	219	297
3	570	297
4	1458	297
5	2857	297
6	3896	297
7	4683	297
8	5005	297
9	5246	297
10	7496	297
11	7990	297
0	8114	297

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

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

rewrite145.0ms (4.6%)

Memory

-11.2MiB live, 227.4MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	11	23
1	45	23
2	280	23
3	2718	20
0	9691	20

Stop Event

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

Counts

4 → 76

Calls

Call 1

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

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

eval28.0ms (0.9%)

Memory: -14.6MiB live, 34.1MiB allocated
Compiler: Compiled 1 098 to 221 computations (79.9% saved)

prune5.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	157	3	160

Accuracy

100.0%

Counts

160 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) x)
✓	55.4%	(/.f64 #s(approx (- x y) (neg.f64 y)) x)
✓	46.3%	#s(approx (/ (- x y) x) #s(literal 1 binary64))

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes11.0ms (0.4%)

Memory

-30.1MiB live, 9.5MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
2.0ms	y
2.0ms	(/.f64 (-.f64 x y) x)

Results

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

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
1.0ms	(/.f64 (-.f64 x y) x)

Results

Accuracy	Segments	Branch
79.6%	3	`x`
81.7%	3	`y`
98.6%	3	`(/.f64 (-.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) x) #s(literal 1 binary64))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
46.3%	1	`x`
46.3%	1	`y`
46.3%	1	`(/.f64 (-.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000023346216325	180996210.2432557
0.0ms	-388.9925759003712	0.9999999988342075

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify26.0ms (0.8%)

Memory

-4.5MiB live, 73.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	24	51
2	27	51
3	28	51

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 (-.f64 x y) x)

(if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal -200 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) x) (if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal 2 binary64)) #s(approx (/ (- x y) x) #s(literal 1 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) x)))

#s(approx (/ (- x y) x) #s(literal 1 binary64))

Outputs

(/.f64 (-.f64 x y) x)

(if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal -200 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) x) (if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal 2 binary64)) #s(approx (/ (- x y) x) #s(literal 1 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) x)))

#s(approx (/ (- x y) x) #s(literal 1 binary64))

soundness473.0ms (15.1%)

Memory

-13.3MiB live, 106.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	186
1	78	168
2	219	168
3	570	168
4	1458	168
5	2857	168
6	3896	168
7	4683	168
8	5005	168
9	5246	168
10	7496	168
11	7990	168
0	8114	168

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 41 to 25 computations (39% saved)

preprocess153.0ms (4.9%)

Memory: 27.1MiB live, 66.3MiB allocated
Compiler: Compiled 90 to 48 computations (46.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	4	10
0	6	10
1	11	10
2	19	10
3	32	10
4	55	10
5	88	10
6	129	10
7	258	10
8	547	10
9	610	10
10	628	10
11	652	10
12	653	10
0	653	10

Iter	Nodes	Cost
0	9	26
0	11	26
1	20	26
2	28	26
3	43	26
4	67	26
5	104	26
6	144	26
7	276	26
8	557	26
9	655	26
10	697	26
11	730	26
12	755	26
13	764	26
0	764	26

Iter	Nodes	Cost
0	4	10
0	6	10
1	11	10
2	19	10
3	32	10
4	55	10
5	88	10
6	129	10
7	258	10
8	547	10
9	610	10
10	628	10
11	652	10
12	653	10
0	653	10

Iter	Nodes	Cost
0	9	26
0	11	26
1	20	26
2	28	26
3	43	26
4	67	26
5	104	26
6	144	26
7	276	26
8	557	26
9	655	26
10	697	26
11	730	26
12	755	26
13	764	26
0	764	26

start0.0ms (0%)

analyze19.0ms (0.6%)

sample922.0ms (29.4%)

explain140.0ms (4.5%)

preprocess160.0ms (5.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify106.0ms (3.4%)

localize13.0ms (0.4%)

series3.0ms (0.1%)

simplify214.0ms (6.8%)

rewrite286.0ms (9.1%)

eval109.0ms (3.5%)

prune26.0ms (0.8%)

simplify23.0ms (0.7%)

localize52.0ms (1.7%)

series3.0ms (0.1%)

simplify210.0ms (6.7%)

rewrite145.0ms (4.6%)

eval28.0ms (0.9%)

prune5.0ms (0.2%)

regimes11.0ms (0.4%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

simplify26.0ms (0.8%)

soundness473.0ms (15.1%)

preprocess153.0ms (4.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	4	10
0	6	10
1	11	10
2	19	10
3	32	10
4	55	10
5	88	10
6	129	10
7	258	10
8	547	10
9	610	10
10	628	10
11	652	10
12	653	10
0	653	10

Iter	Nodes	Cost
0	9	26
0	11	26
1	20	26
2	28	26
3	43	26
4	67	26
5	104	26
6	144	26
7	276	26
8	557	26
9	655	26
10	697	26
11	730	26
12	755	26
13	764	26
0	764	26