Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 9 computations (0% saved)

sample595.0ms (74.8%)

Memory

54.7MiB live, 792.7MiB allocated

Samples

371.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-mult: 111.0ms (66.9% of total)

ival-sub: 42.0ms (25.3% of total)

ival-true: 6.0ms (3.6% of total)

exact: 5.0ms (3% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain78.0ms (9.8%)

Memory

-3.3MiB live, 107.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
-	-	`(*.f64 y #s(literal 4 binary64))`
-	-	`#s(literal 4 binary64)`
-	-	`z`
-	-	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
-	-	`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

29.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

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

ival-mult: 7.0ms (71.1% of total)

ival-sub: 2.0ms (20.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess3.0ms (0.4%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
cost-diff	0	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

localize24.0ms (3%)

Memory

-21.3MiB live, 24.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
accuracy	0.0	(.f64 (.f64 y #s(literal 4 binary64)) z)
accuracy	0.0	(*.f64 y #s(literal 4 binary64))

Samples

19.0ms

256×

valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 11.0ms (88.7% of total)

ival-sub: 1.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.8%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

3 → 12

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))

Outputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* 4 y)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	y	@	0	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
0.0ms	z	@	0	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

12 → 3

Calls

Call 1

Inputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* 4 y)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))

Outputs
(* -4 (* y z))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(- x (* 4 (* y z)))
(.f64 (.f64 y #s(literal 4 binary64)) z)
x
(*.f64 y #s(literal 4 binary64))

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))

eval1.0ms (0.1%)

Memory: 1.3MiB live, 1.3MiB allocated
Compiler: Compiled 60 to 14 computations (76.7% saved)

prune1.0ms (0.2%)

Memory

3.6MiB live, 3.6MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	4	3	7

Accuracy

100.0%

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
▶	2.1%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal 4 binary64)) z))
▶	3.8%	#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
cost-diff	0	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal 4 binary64)) z))
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

localize23.0ms (2.9%)

Memory

6.2MiB live, 43.2MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 y #s(literal 4 binary64)) z)
accuracy	0.0	(*.f64 y #s(literal 4 binary64))
accuracy	62.668219292559186	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal 4 binary64)) z))
accuracy	0.0	(*.f64 y #s(literal 4 binary64))
accuracy	61.542338728338635	#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 72 to 21 computations (70.8% saved)

Precisions

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

ival-sub: 7.0ms (68.2% of total)

ival-mult: 3.0ms (29.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.7%)

Memory

-30.3MiB live, 9.1MiB allocated

Counts

4 → 12

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)

Outputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* 4 y)
(* 4 (* y z))
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((- x (* (* y 4) z)) (* y 4) (- x (* (* y 4) z)) (* (* y 4) z))
1.0ms	y	@	0	((- x (* (* y 4) z)) (* y 4) (- x (* (* y 4) z)) (* (* y 4) z))
0.0ms	y	@	inf	((- x (* (* y 4) z)) (* y 4) (- x (* (* y 4) z)) (* (* y 4) z))
0.0ms	z	@	inf	((- x (* (* y 4) z)) (* y 4) (- x (* (* y 4) z)) (* (* y 4) z))
0.0ms	z	@	-inf	((- x (* (* y 4) z)) (* y 4) (- x (* (* y 4) z)) (* (* y 4) z))

simplify0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	egg-herbie

Counts

12 → 4

Calls

Call 1

Inputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* 4 y)
(* 4 (* y z))
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))

Outputs
(* -4 (* y z))
#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))
(- x (* 4 (* y z)))
(*.f64 y #s(literal 4 binary64))
x
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal 4 binary64)) z))
(* x (+ 1 (* -4 (/ (* y z) x))))
(.f64 (.f64 y #s(literal 4 binary64)) z)

rewrite0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)

Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)

eval1.0ms (0.1%)

Memory: 2.6MiB live, 2.6MiB allocated
Compiler: Compiled 101 to 14 computations (86.1% saved)

prune2.0ms (0.3%)

Memory

5.8MiB live, 5.8MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	7	3	10

Accuracy

100.0%

Counts

10 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
✓	2.1%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal 4 binary64)) z))
✓	3.8%	#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))

Compiler

Compiled 62 to 41 computations (33.9% saved)

regimes12.0ms (1.5%)

Memory

-3.7MiB live, 35.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Calls

6 calls:

2.0ms	y
2.0ms	z
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes9.0ms (1.1%)

Memory

29.3MiB live, 29.3MiB allocated

Accuracy

Total -1.5b remaining (-2.4%)

Threshold costs -1.5b (-2.4%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))

Calls

6 calls:

1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	y
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
1.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
1.0ms	x

Results

Accuracy	Segments	Branch
3.8%	1	`x`
3.8%	1	`y`
3.8%	1	`z`
3.8%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
3.8%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
3.8%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

simplify16.0ms (2%)

Memory

-61.1MiB live, 13.6MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
#s(approx (- x (* (* y 4) z)) (*.f64 y #s(literal 4 binary64)))

soundness0.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated

Stop Event

1×

done

Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess17.0ms (2.2%)

Memory: 2.9MiB live, 42.1MiB allocated
Compiler: Compiled 50 to 38 computations (24% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample595.0ms (74.8%)

explain78.0ms (9.8%)

preprocess3.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize24.0ms (3%)

series6.0ms (0.8%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.2%)

simplify0.0ms (0%)

localize23.0ms (2.9%)

series5.0ms (0.7%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.3%)

regimes12.0ms (1.5%)

regimes9.0ms (1.1%)

simplify16.0ms (2%)

soundness0.0ms (0.1%)

preprocess17.0ms (2.2%)

end0.0ms (0%)

Profiling