Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze49.0ms (5.7%)

Memory

-21.8MiB live, 78.4MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample638.0ms (74.3%)

Memory

12.8MiB live, 1 112.3MiB allocated

Samples

406.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-mult: 69.0ms (33% of total)

ival-add: 66.0ms (31.6% of total)

ival-div: 64.0ms (30.6% of total)

ival-true: 7.0ms (3.4% of total)

ival-assert: 4.0ms (1.9% of total)

Bogosity

explain59.0ms (6.9%)

Memory

-17.7MiB live, 99.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
47	-	3	(6.959029021390646e-154 -1.0110725681933464e-167 3.2342461075975433e-249)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	33	0
↳	`(*.f64 x (+.f64 y z))`	overflow	43
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	11	0
↳	`(*.f64 x (+.f64 y z))`	underflow	11

Confusion

	Predicted +	Predicted -
+	44	3
-	0	209

Precision

1.0

Recall

0.9361702127659575

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	0	3
-	0	0	209

Precision?

1.0

Recall?

0.9361702127659575

Freqs

test

number	freq
0	212
1	44

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 3.0ms (28.3% of total)

ival-add: 3.0ms (28.3% of total)

ival-mult: 3.0ms (28.3% of total)

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

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

preprocess3.0ms (0.4%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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
▶	83.3%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% 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 y z)
cost-diff	0	(*.f64 x (+.f64 y z))
cost-diff	0	(/.f64 (*.f64 x (+.f64 y z)) z)

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z

localize31.0ms (3.6%)

Memory

-44.6MiB live, 27.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y z)
accuracy	0.00390625	(*.f64 x (+.f64 y z))
accuracy	10.653887594138943	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

12.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (38.6% of total)

ival-mult: 2.0ms (38.6% of total)

ival-add: 1.0ms (19.3% of total)

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

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

series7.0ms (0.9%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

3 → 22

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)

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

Calls

9 calls:

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

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

22 → 3

Calls

Call 1

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

Outputs
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(* x (+ y z))
(*.f64 x (+.f64 y z))
x
(+.f64 y z)

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)

eval1.0ms (0.1%)

Memory: 1.4MiB live, 1.4MiB allocated
Compiler: Compiled 60 to 13 computations (78.3% saved)

prune1.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB 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

83.4%

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.3%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	3.0%	#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Compiler

Compiled 18 to 14 computations (22.2% 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 y z)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
(+.f64 y z)
y
z

Outputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
(+.f64 y z)
y
z

localize17.0ms (2%)

Memory

-9.1MiB live, 29.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 y z)
accuracy	62.06457827774286	#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Samples

13.0ms

256×

valid

Compiler

Compiled 30 to 16 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (44.1% of total)

ival-div: 2.0ms (29.4% of total)

ival-mult: 2.0ms (29.4% of total)

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

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

series3.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

2 → 14

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
(+.f64 y z)

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

Calls

9 calls:

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

simplify0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Counts

14 → 2

Calls

Call 1

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

Outputs
(/ (* x (+ y z)) z)
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
x
(+.f64 y z)

rewrite0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
(+.f64 y z)

Outputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
(+.f64 y z)

eval0.0ms (0%)

Memory: 1.1MiB live, 1.1MiB allocated
Compiler: Compiled 41 to 9 computations (78% saved)

prune2.0ms (0.2%)

Memory

4.3MiB live, 4.3MiB 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

83.4%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.3%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	3.0%	#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes8.0ms (1%)

Memory

-19.7MiB live, 19.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
(/.f64 (*.f64 x (+.f64 y z)) z)

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)

Calls

4 calls:

4.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
83.3%	1	`x`
83.3%	1	`y`
83.3%	1	`z`
83.3%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.6%)

Memory

17.1MiB live, 17.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Outputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Calls

4 calls:

1.0ms	z
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
3.0%	1	`x`
3.0%	1	`z`
3.0%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
3.0%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

simplify5.0ms (0.5%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

soundness0.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 18 to 10 computations (44.4% saved)

preprocess27.0ms (3.1%)

Memory: -32.9MiB live, 47.7MiB allocated
Compiler: Compiled 64 to 44 computations (31.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze49.0ms (5.7%)

sample638.0ms (74.3%)

explain59.0ms (6.9%)

preprocess3.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize31.0ms (3.6%)

series7.0ms (0.9%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize17.0ms (2%)

series3.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes8.0ms (1%)

regimes5.0ms (0.6%)

simplify5.0ms (0.5%)

soundness0.0ms (0.1%)

preprocess27.0ms (3.1%)

end0.0ms (0%)

Profiling