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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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 7 to 7 computations (0% saved)

sample780.0ms (34.6%)

Memory

19.6MiB live, 899.3MiB allocated; 220ms collecting garbage

Samples

500.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-add: 163.0ms (67.4% of total)

ival-div: 63.0ms (26.1% of total)

ival-true: 6.0ms (2.5% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain52.0ms (2.3%)

Memory

-0.2MiB live, 103.8MiB allocated; 16ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (+.f64 x y) #s(literal 2 binary64))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(+.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 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (49.7% of total)

ival-add: 3.0ms (37.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess267.0ms (11.8%)

Memory

-7.6MiB live, 271.2MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	33	29
2	64	29
3	98	29
4	154	29
5	374	25
6	1607	25
7	5458	25
0	5	5
0	7	5
1	13	5
2	17	5
3	25	5
4	51	5
5	165	5
6	935	5
7	5449	5
0	8357	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify180.0ms (8%)

Memory

-0.6MiB live, 175.2MiB allocated; 39ms collecting garbage

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	13	11
2	17	11
3	25	11
4	51	11
5	165	11
6	935	11
7	5449	11
0	8357	11

Stop Event

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

Calls

Call 1

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

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

localize48.0ms (2.1%)

Memory

2.3MiB live, 67.1MiB allocated; 33ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 (+.f64 x y) #s(literal 2 binary64))
accuracy	0.0	(+.f64 x y)

Samples

32.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-add: 23.0ms (90.2% of total)

ival-div: 2.0ms (7.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Counts

2 → 14

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) 2) #s(hole binary64 (* 1/2 y)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

simplify129.0ms (5.7%)

Memory

-9.8MiB live, 79.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	118
1	133	118
2	279	118
3	761	118
4	3187	118
5	7083	118
0	8127	118

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
#s(approx (/ (+ x y) 2) #s(hole binary64 (* 1/2 y)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

rewrite37.0ms (1.6%)

Memory

15.3MiB live, 59.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	30	8
0	185	8

Stop Event

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

Counts

2 → 22

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 346 to 94 computations (72.8% saved)

prune2.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	3	29

Accuracy

100.0%

Counts

29 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
▶	53.8%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
▶	47.4%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify164.0ms (7.3%)

Memory

-32.7MiB live, 155.8MiB allocated; 34ms collecting garbage

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	17	50
1	26	50
2	32	50
3	52	50
4	95	50
5	241	50
6	1104	50
7	5541	50
0	8259	50

Stop Event

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

Calls

Call 1

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

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

localize44.0ms (2%)

Memory

36.6MiB live, 138.3MiB allocated; 11ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	29.541611675157608	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	33.676028968316366	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Samples

38.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

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

ival-mult: 21.0ms (79.8% of total)

ival-add: 3.0ms (11.4% of total)

ival-div: 2.0ms (7.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series32.0ms (1.4%)

Memory

-39.8MiB live, 6.7MiB allocated; 6ms collecting garbage

Counts

7 → 23

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) 2) #s(hole binary64 (* 1/2 y)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	y	@	-inf	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))
1.0ms	x	@	inf	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))
1.0ms	x	@	-inf	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))
1.0ms	x	@	0	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))
0.0ms	y	@	inf	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))

simplify122.0ms (5.4%)

Memory

11.5MiB live, 151.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	205
1	148	205
2	293	205
3	777	205
4	3208	205
5	7112	205
0	8156	205

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

Inputs
#s(approx (/ (+ x y) 2) #s(hole binary64 (* 1/2 y)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ (+ x y) 2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

rewrite43.0ms (1.9%)

Memory

13.5MiB live, 58.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
0	17	43
1	52	43
0	297	43

Stop Event

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

Counts

7 → 37

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 743 to 140 computations (81.2% saved)

prune4.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	45	3	48

Accuracy

100.0%

Counts

48 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
✓	53.8%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
✓	47.4%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 63 to 41 computations (34.9% saved)

regimes31.0ms (1.4%)

Memory

-27.7MiB live, 17.5MiB allocated; 12ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	(+.f64 x y)
2.0ms	(/.f64 (+.f64 x y) #s(literal 2 binary64))
2.0ms	x
2.0ms	y

Results

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

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes6.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.8%	2	`(+.f64 x y)`
97.8%	2	`(/.f64 (+.f64 x y) #s(literal 2 binary64))`
81.2%	2	`x`
85.5%	2	`y`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes4.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.4%	1	`x`
47.4%	1	`y`
47.4%	1	`(+.f64 x y)`
47.4%	1	`(/.f64 (+.f64 x y) #s(literal 2 binary64))`

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.4530261338215044e-239	6.246331131331024e-206

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify142.0ms (6.3%)

Memory

-33.9MiB live, 43.4MiB allocated; 114ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	24	46
2	28	46
3	37	46
4	75	46
5	424	46
6	3579	46

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -2346099009001469/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416 binary64)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)))

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

Outputs

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

(if (<=.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -2346099009001469/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416 binary64)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)))

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

derivations140.0ms (6.2%)

Memory

-13.7MiB live, 127.4MiB allocated; 25ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 46 to 19 computations (58.7% saved)

preprocess16.0ms (0.7%)

Memory: 42.1MiB live, 42.2MiB allocated; 0ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 124 to 66 computations (46.8% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample780.0ms (34.6%)

explain52.0ms (2.3%)

preprocess267.0ms (11.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify180.0ms (8%)

localize48.0ms (2.1%)

series3.0ms (0.1%)

simplify129.0ms (5.7%)

rewrite37.0ms (1.6%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

simplify164.0ms (7.3%)

localize44.0ms (2%)

series32.0ms (1.4%)

simplify122.0ms (5.4%)

rewrite43.0ms (1.9%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

regimes31.0ms (1.4%)

regimes6.0ms (0.3%)

regimes4.0ms (0.2%)

bsearch0.0ms (0%)

simplify142.0ms (6.3%)

derivations140.0ms (6.2%)

preprocess16.0ms (0.7%)

end0.0ms (0%)

Profiling