Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 11 to 10 computations (9.1% saved)

sample702.0ms (73%)

Memory

-7.7MiB live, 1 168.2MiB allocated

Samples

448.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-mult: 130.0ms (54.9% of total)

ival-sub: 55.0ms (23.2% of total)

ival-add: 36.0ms (15.2% of total)

ival-true: 7.0ms (3% of total)

exact: 6.0ms (2.5% of total)

ival-assert: 4.0ms (1.7% of total)

Bogosity

explain88.0ms (9.1%)

Memory

-1.6MiB live, 166.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
0	-	-	`y`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`	nan-rescue	4	0
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	30

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (58.7% of total)

ival-sub: 3.0ms (19.6% of total)

ival-add: 2.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

preprocess8.0ms (0.8%)

Memory

-36.6MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 x y)
x
y
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
z

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

localize19.0ms (2%)

Memory

31.2MiB live, 31.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 x y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	0.8632791858302058	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

14.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (62.6% of total)

ival-sub: 1.0ms (15.7% of total)

ival-add: 1.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (1.2%)

Memory

-26.2MiB live, 10.4MiB allocated

Counts

4 → 22

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 x y)
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))
1.0ms	z	@	0	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))
1.0ms	x	@	inf	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))
1.0ms	x	@	0	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))
1.0ms	z	@	inf	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

22 → 4

Calls

Call 1

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

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

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 x y)
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)

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

eval1.0ms (0.1%)

Memory: 1.9MiB live, 1.9MiB allocated
Compiler: Compiled 96 to 19 computations (80.2% saved)

prune1.0ms (0.2%)

Memory

3.2MiB live, 3.2MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	5	3	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	4	9

Accuracy

100.0%

Counts

9 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	31.2%	(+.f64 (.f64 x y) #s(approx ( (- 1 x) z) (-.f64 #s(literal 1 binary64) x)))
▶	21.1%	(+.f64 #s(approx (* x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	44.5%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Compiler

Compiled 50 to 38 computations (24% saved)

simplify1.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Calls

Call 1

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

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

localize29.0ms (3%)

Memory

5.6MiB live, 42.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 x y)
accuracy	0.8632791858302058	(+.f64 (.f64 x y) #s(approx ( (- 1 x) z) (-.f64 #s(literal 1 binary64) x)))
accuracy	61.85680436312266	#s(approx (* (- 1 x) z) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	0.8632791858302058	(+.f64 #s(approx (* x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z))
accuracy	59.84088954102823	#s(approx (* x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
accuracy	0.0	(*.f64 x y)
accuracy	35.497437132304086	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Samples

17.0ms

256×

valid

Compiler

Compiled 146 to 27 computations (81.5% saved)

Precisions

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

ival-mult: 4.0ms (60.6% of total)

ival-sub: 1.0ms (15.2% of total)

ival-add: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.4%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

8 → 22

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* x y) (* (- 1 x) z)) (* x y) (+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z))
0.0ms	z	@	inf	((+ (* x y) (* (- 1 x) z)) (* x y) (+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z))
0.0ms	y	@	-inf	((+ (* x y) (* (- 1 x) z)) (* x y) (+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z))
0.0ms	x	@	inf	((+ (* x y) (* (- 1 x) z)) (* x y) (+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z))
0.0ms	z	@	-inf	((+ (* x y) (* (- 1 x) z)) (* x y) (+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z))

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Counts

22 → 8

Calls

Call 1

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

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

rewrite1.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

8 → 8

Calls

Call 1

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

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

eval2.0ms (0.2%)

Memory: 6.0MiB live, 6.0MiB allocated
Compiler: Compiled 457 to 41 computations (91% saved)

prune2.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	25	4	29

Accuracy

100.0%

Counts

29 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
✓	21.1%	(+.f64 #s(approx (* x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z))
✓	44.5%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))
▶	3.3%	#s(approx (+ (* x y) (* (- 1 x) z)) #s(approx (* (- 1 x) z) (-.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 56 to 39 computations (30.4% saved)

simplify4.0ms (0.5%)

Memory

-37.3MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Calls

Call 1

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

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

localize18.0ms (1.9%)

Memory

24.6MiB live, 24.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	25.832277179713838	#s(approx (+ (* x y) (* (- 1 x) z)) #s(approx (* (- 1 x) z) (-.f64 #s(literal 1 binary64) x)))
accuracy	61.85680436312266	#s(approx (* (- 1 x) z) (-.f64 #s(literal 1 binary64) x))

Samples

13.0ms

256×

valid

Compiler

Compiled 54 to 22 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (62.2% of total)

ival-sub: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.3%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

3 → 22

Calls

Call 1

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

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

Calls

9 calls:

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

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

22 → 3

Calls

Call 1

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

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

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 86 to 13 computations (84.9% saved)

prune3.0ms (0.3%)

Memory

4.4MiB live, 4.4MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	4	4	8

Accuracy

100.0%

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
✓	21.1%	(+.f64 #s(approx (* x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z))
✓	44.5%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))
✓	3.3%	#s(approx (+ (* x y) (* (- 1 x) z)) #s(approx (* (- 1 x) z) (-.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 125 to 58 computations (53.6% saved)

regimes17.0ms (1.7%)

Memory

-26.2MiB live, 17.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Calls

4 calls:

10.0ms	z
2.0ms	y
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
2.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.8%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

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

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Calls

4 calls:

2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
44.5%	1	`x`
44.5%	1	`y`
44.5%	1	`z`
44.5%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.9%)

Memory

-24.6MiB live, 13.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
1.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
3.3%	1	`z`
3.3%	1	`y`
3.3%	1	`x`
3.3%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

simplify4.0ms (0.5%)

Memory

11.0MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs

(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

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

Outputs

(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

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

soundness1.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated

Stop Event

1×

done

Compiler

Compiled 41 to 16 computations (61% saved)

preprocess23.0ms (2.4%)

Memory: 1.5MiB live, 38.4MiB allocated
Compiler: Compiled 100 to 48 computations (52% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample702.0ms (73%)

explain88.0ms (9.1%)

preprocess8.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize19.0ms (2%)

series12.0ms (1.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.2%)

simplify1.0ms (0.1%)

localize29.0ms (3%)

series4.0ms (0.4%)

simplify0.0ms (0%)

rewrite1.0ms (0.1%)

eval2.0ms (0.2%)

prune2.0ms (0.2%)

simplify4.0ms (0.5%)

localize18.0ms (1.9%)

series3.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune3.0ms (0.3%)

regimes17.0ms (1.7%)

regimes7.0ms (0.8%)

regimes9.0ms (0.9%)

simplify4.0ms (0.5%)

soundness1.0ms (0.1%)

preprocess23.0ms (2.4%)

end0.0ms (0%)

Profiling