Metrics for Linear.Quaternion:$cexp from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze12.0ms (1.3%)

Memory

20.7MiB live, 20.7MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample752.0ms (79.4%)

Memory

-34.6MiB live, 1 099.9MiB allocated

Samples

520.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 323.0ms

ival-sin: 194.0ms (60.1% of total)

ival-div: 62.0ms (19.2% of total)

ival-mult: 57.0ms (17.7% of total)

ival-true: 7.0ms (2.2% of total)

ival-assert: 4.0ms (1.2% of total)

Bogosity

explain71.0ms (7.5%)

Memory

-9.7MiB live, 112.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sin.f64 y)`
-	-	`y`
-	-	`(*.f64 x (/.f64 (sin.f64 y) y))`
-	-	`(/.f64 (sin.f64 y) 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

41.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sin: 20.0ms (71.3% of total)

ival-div: 4.0ms (14.3% of total)

ival-mult: 3.0ms (10.7% of total)

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

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

preprocess3.0ms (0.3%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 (sin.f64 y) y)
cost-diff	0	(*.f64 x (/.f64 (sin.f64 y) y))

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize22.0ms (2.3%)

Memory

-2.9MiB live, 36.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 y)
accuracy	0.09375	(*.f64 x (/.f64 (sin.f64 y) y))
accuracy	0.11328125	(/.f64 (sin.f64 y) y)

Samples

17.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

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

ival-sin: 7.0ms (64.4% of total)

ival-div: 2.0ms (18.4% of total)

ival-mult: 2.0ms (18.4% of total)

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

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

series6.0ms (0.7%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

3 → 15

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)

Outputs
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin y) y)
(sin y)

Calls

6 calls:

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

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Counts

15 → 3

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin y) y)
(sin y)

Outputs
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(+ x (* -1/6 (* x (pow y 2))))
(sin.f64 y)

rewrite0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)

eval1.0ms (0.1%)

Memory: 1.2MiB live, 1.2MiB allocated
Compiler: Compiled 51 to 11 computations (78.4% saved)

prune1.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB 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

99.8%

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	4.2%	#s(approx (* x (/ (sin y) y)) (/.f64 (sin.f64 y) y))
▶	3.7%	#s(approx (* x (/ (sin y) y)) (sin.f64 y))

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify0.0ms (0%)

Memory

0.4MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 (sin.f64 y) y)
cost-diff	0	#s(approx (* x (/ (sin y) y)) (/.f64 (sin.f64 y) y))
cost-diff	0	(sin.f64 y)
cost-diff	0	#s(approx (* x (/ (sin y) y)) (sin.f64 y))

Calls

Call 1

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

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

localize23.0ms (2.5%)

Memory

-2.0MiB live, 36.4MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 y)
accuracy	0.11328125	(/.f64 (sin.f64 y) y)
accuracy	61.311242974717096	#s(approx (* x (/ (sin y) y)) (/.f64 (sin.f64 y) y))
accuracy	0.0	(sin.f64 y)
accuracy	61.65640554722636	#s(approx (* x (/ (sin y) y)) (sin.f64 y))

Samples

18.0ms

256×

valid

Compiler

Compiled 54 to 16 computations (70.4% saved)

Precisions

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

ival-sin: 6.0ms (61.2% of total)

ival-div: 2.0ms (20.4% of total)

ival-mult: 2.0ms (20.4% of total)

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

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

series3.0ms (0.3%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

4 → 15

Calls

Call 1

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

Outputs
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(sin y)
(/ (sin y) y)

Calls

6 calls:

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

simplify0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Counts

15 → 4

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(sin y)
(/ (sin y) y)

Outputs
(/ (* x (sin y)) y)
#s(approx (* x (/ (sin y) y)) (sin.f64 y))
x
(sin.f64 y)
(+ x (* -1/6 (* x (pow y 2))))
#s(approx (* x (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(/.f64 (sin.f64 y) y)

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 2.1MiB live, 2.1MiB allocated
Compiler: Compiled 85 to 11 computations (87.1% saved)

prune2.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB 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

99.8%

Counts

10 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	4.2%	#s(approx (* x (/ (sin y) y)) (/.f64 (sin.f64 y) y))
✓	3.7%	#s(approx (* x (/ (sin y) y)) (sin.f64 y))

Compiler

Compiled 52 to 30 computations (42.3% saved)

regimes9.0ms (1%)

Memory

-23.9MiB live, 14.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))

Calls

4 calls:

4.0ms	y
2.0ms	x
2.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
2.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
99.8%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes6.0ms (0.6%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms	y
1.0ms	x
1.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
4.2%	1	`x`
4.2%	1	`y`
4.2%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
4.2%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes5.0ms (0.5%)

Memory

12.0MiB live, 12.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms	y
1.0ms	(/.f64 (sin.f64 y) y)
1.0ms	x

Results

Accuracy	Segments	Branch
3.7%	1	`(/.f64 (sin.f64 y) y)`
3.7%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
3.7%	1	`x`
3.7%	1	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify6.0ms (0.7%)

Memory

-32.3MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

soundness1.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 26 to 10 computations (61.5% saved)

preprocess21.0ms (2.2%)

Memory: 1.9MiB live, 39.6MiB allocated
Compiler: Compiled 64 to 30 computations (53.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze12.0ms (1.3%)

sample752.0ms (79.4%)

explain71.0ms (7.5%)

preprocess3.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize22.0ms (2.3%)

series6.0ms (0.7%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize23.0ms (2.5%)

series3.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.2%)

regimes9.0ms (1%)

regimes6.0ms (0.6%)

regimes5.0ms (0.5%)

simplify6.0ms (0.7%)

soundness1.0ms (0.1%)

preprocess21.0ms (2.2%)

end0.0ms (0%)

Profiling