Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, G

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample585.0ms (78.3%)

Memory

20.4MiB live, 1 030.0MiB allocated

Samples

361.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-div: 66.0ms (35.8% of total)

ival-mult: 57.0ms (30.9% of total)

ival-add: 43.0ms (23.3% of total)

exact: 8.0ms (4.3% of total)

ival-true: 6.0ms (3.3% of total)

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

Bogosity

explain59.0ms (7.9%)

Memory

33.7MiB live, 118.5MiB allocated

FPErrors

Click to see full error table

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

27.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 7.0ms (48.7% of total)

ival-add: 3.0ms (20.9% of total)

ival-mult: 3.0ms (20.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess9.0ms (1.2%)

Memory

-31.5MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Calls

Call 1

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

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

localize21.0ms (2.8%)

Memory

-5.1MiB live, 33.2MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

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

ival-div: 2.0ms (39.1% of total)

ival-mult: 2.0ms (39.1% of total)

ival-add: 1.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.3%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

3 → 14

Calls

Call 1

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

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

Calls

6 calls:

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

simplify0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Counts

14 → 3

Calls

Call 1

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

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

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.5MiB live, 1.4MiB allocated
Compiler: Compiled 58 to 16 computations (72.4% saved)

prune1.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	2	7

Accuracy

100.0%

Counts

7 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 18 computations (0% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Calls

Call 1

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

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

localize21.0ms (2.8%)

Memory

-24.5MiB live, 31.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
accuracy	61.95821605086765	#s(approx (* (/ 1 2) (+ x y)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 30 to 20 computations (33.3% saved)

Precisions

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

ival-div: 2.0ms (39% of total)

ival-mult: 2.0ms (39% of total)

ival-add: 1.0ms (19.5% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

2 → 7

Calls

Call 1

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

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

Calls

6 calls:

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

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

7 → 2

Calls

Call 1

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

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

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

eval0.0ms (0.1%)

Memory: 1.0MiB live, 1.0MiB allocated
Compiler: Compiled 41 to 12 computations (70.7% saved)

prune2.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	3	2	5

Accuracy

100.0%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
✓	3.2%	#s(approx (* (/ 1 2) (+ x y)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Compiler

Compiled 36 to 31 computations (13.9% saved)

regimes6.0ms (0.8%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
1.0ms	(+.f64 x y)
1.0ms	y

Results

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

Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes6.0ms (0.8%)

Memory

-23.2MiB live, 16.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
1.0ms	(+.f64 x y)
1.0ms	x

Results

Accuracy	Segments	Branch
3.2%	1	`x`
3.2%	1	`y`
3.2%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
3.2%	1	`(+.f64 x y)`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify4.0ms (0.6%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

soundness0.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated

Stop Event

1×

done

Compiler

Compiled 18 to 13 computations (27.8% saved)

preprocess25.0ms (3.3%)

Memory: -11.4MiB live, 65.8MiB allocated
Compiler: Compiled 60 to 50 computations (16.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample585.0ms (78.3%)

explain59.0ms (7.9%)

preprocess9.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0.1%)

simplify0.0ms (0%)

localize21.0ms (2.8%)

series2.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize21.0ms (2.8%)

series1.0ms (0.1%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0.1%)

prune2.0ms (0.2%)

regimes6.0ms (0.8%)

regimes6.0ms (0.8%)

simplify4.0ms (0.6%)

soundness0.0ms (0.1%)

preprocess25.0ms (3.3%)

end0.0ms (0%)

Profiling