Metrics for Statistics.Distribution.Beta:$cvariance from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze72.0ms (5.7%)

Memory

-2.0MiB live, 119.6MiB 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
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample768.0ms (61.7%)

Memory

37.1MiB live, 1 095.0MiB allocated

Samples

500.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 300.0ms

ival-mult: 179.0ms (59.7% of total)

ival-div: 63.0ms (21% of total)

ival-add: 42.0ms (14% of total)

ival-true: 7.0ms (2.3% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain213.0ms (17.1%)

Memory

-74.6MiB live, 117.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
47	-	3	(-5.322021709566896e-54 -8.94221384001693e-267 -8.460630888773281e-111)	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(+.f64 z #s(literal 1 binary64))`
0	-	0	-	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	o/o	13	0
↳	`(*.f64 x y)`	overflow	28
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	overflow	92
↳	`(*.f64 z z)`	overflow	70
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	n/o	9	0
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	overflow	92
↳	`(*.f64 z z)`	overflow	70
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	u/n	8	0
↳	`(*.f64 x y)`	underflow	30
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	n/u	7	0
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	underflow	58
↳	`(*.f64 z z)`	underflow	58
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	o/n	4	0
↳	`(*.f64 x y)`	overflow	28
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	u/u	3	0
↳	`(*.f64 x y)`	underflow	30
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	underflow	58
↳	`(*.f64 z z)`	underflow	58

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

32.0ms

512×

valid

Compiler

Compiled 108 to 40 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (59.7% of total)

ival-div: 3.0ms (17.9% of total)

ival-add: 3.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess4.0ms (0.4%)

Memory

-32.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% 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
▶	83.2%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Calls

Call 1

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

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

localize22.0ms (1.8%)

Memory

30.3MiB live, 30.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(*.f64 x y)
accuracy	0.03515625	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy	10.666577747259938	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Samples

16.0ms

256×

valid

Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions

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

ival-mult: 5.0ms (60.8% of total)

ival-div: 2.0ms (24.3% of total)

ival-add: 1.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (1.1%)

Memory

-12.8MiB live, 22.9MiB allocated

Counts

4 → 17

Calls

Call 1

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

Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z))
2.0ms	y	@	-inf	((/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z))
2.0ms	x	@	inf	((/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z))
1.0ms	x	@	0	((/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z))
1.0ms	y	@	0	((/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z))

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

17 → 4

Calls

Call 1

Inputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))

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

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.6MiB live, 1.6MiB allocated
Compiler: Compiled 116 to 20 computations (82.8% saved)

prune1.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	3	9

Accuracy

83.3%

Counts

9 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

83.2%

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

▶

2.0%

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

▶

2.1%

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

Compiler

Compiled 45 to 34 computations (24.4% saved)

simplify0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Calls

Call 1

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

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

localize27.0ms (2.1%)

Memory

-1.6MiB live, 34.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z #s(literal 1 binary64))
accuracy	0.0	(*.f64 z z)
accuracy	0.03515625	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy	62.69698957819371	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))))
accuracy	0.0	(*.f64 z z)
accuracy	62.6440465442584	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 z z))

Samples

20.0ms

256×

valid

Compiler

Compiled 96 to 26 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (70.9% of total)

ival-div: 2.0ms (15.8% of total)

ival-add: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.5%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

5 → 20

Calls

Call 1

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

Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
1
(+ 1 z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
z
(* z (+ 1 (/ 1 z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))

Calls

9 calls:

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

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Counts

20 → 5

Calls

Call 1

Inputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
1
(+ 1 z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
z
(* z (+ 1 (/ 1 z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))

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

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.9MiB live, 1.9MiB allocated
Compiler: Compiled 179 to 18 computations (89.9% saved)

prune2.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	8	1	9
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	8	4	12

Accuracy

83.4%

Counts

12 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.2%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
▶	2.4%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (+.f64 z #s(literal 1 binary64)))
✓	2.0%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	2.1%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 z z))

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Calls

Call 1

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

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

localize28.0ms (2.2%)

Memory

-13.5MiB live, 31.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 z #s(literal 1 binary64))
accuracy	62.44850228132796	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (+.f64 z #s(literal 1 binary64)))

Samples

23.0ms

256×

valid

Compiler

Compiled 38 to 23 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 13.0ms (80.3% of total)

ival-div: 2.0ms (12.3% of total)

ival-add: 1.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.4%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

2 → 16

Calls

Call 1

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

Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
1
(+ 1 z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
z
(* z (+ 1 (/ 1 z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))

Calls

9 calls:

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

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

16 → 2

Calls

Call 1

Inputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
1
(+ 1 z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
z
(* z (+ 1 (/ 1 z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))

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

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 57 to 13 computations (77.2% saved)

prune8.0ms (0.7%)

Memory

-32.1MiB live, 5.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Accuracy

83.4%

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.2%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	2.4%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (+.f64 z #s(literal 1 binary64)))
✓	2.0%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	2.1%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 z z))

Compiler

Compiled 120 to 64 computations (46.7% saved)

regimes11.0ms (0.9%)

Memory

25.5MiB live, 25.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
83.2%	1	`x`
83.2%	1	`y`
83.2%	1	`z`
83.2%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
83.2%	1	`(*.f64 x y)`
83.2%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes19.0ms (1.6%)

Memory

-14.9MiB live, 22.6MiB allocated

Accuracy

Total -0.5b remaining (-0.7%)

Threshold costs -0.5b (-0.7%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

11.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(*.f64 x y)
1.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
2.4%	1	`x`
2.4%	1	`y`
2.4%	1	`z`
2.4%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
2.4%	1	`(*.f64 x y)`
2.4%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

simplify4.0ms (0.3%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

soundness1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Stop Event

1×

done

Compiler

Compiled 26 to 16 computations (38.5% saved)

preprocess34.0ms (2.7%)

Memory: 16.3MiB live, 53.8MiB allocated
Compiler: Compiled 126 to 84 computations (33.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze72.0ms (5.7%)

sample768.0ms (61.7%)

explain213.0ms (17.1%)

preprocess4.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize22.0ms (1.8%)

series13.0ms (1.1%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize27.0ms (2.1%)

series6.0ms (0.5%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

simplify0.0ms (0%)

localize28.0ms (2.2%)

series5.0ms (0.4%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0%)

prune8.0ms (0.7%)

regimes11.0ms (0.9%)

regimes19.0ms (1.6%)

simplify4.0ms (0.3%)

soundness1.0ms (0%)

preprocess34.0ms (2.7%)

end0.0ms (0%)

Profiling