Metrics for Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample637.0ms (19.3%)

Memory

-107.6MiB live, 630.2MiB allocated

Samples

424.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 75.0ms (53.8% of total)

ival-add: 50.0ms (35.9% of total)

ival-true: 6.0ms (4.3% of total)

exact: 5.0ms (3.6% of total)

ival-assert: 3.0ms (2.2% of total)

Bogosity

explain59.0ms (1.8%)

Memory

-8.1MiB live, 103.4MiB allocated

FPErrors

Click to see full error table

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

31.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (65.8% of total)

ival-add: 2.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess15.0ms (0.5%)

Memory

-2.0MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	22	10
2	54	10
3	98	10
4	132	10
5	146	10
6	148	10
0	4	5
0	6	5
1	9	5
0	9	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(fma.f64 x x #s(literal 1 binary64))

Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (*.f64 x x) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
0	9	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)

localize16.0ms (0.5%)

Memory

-1.1MiB live, 46.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)

Samples

12.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (58.4% of total)

ival-add: 1.0ms (29.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (* x x) 1) (* x x))
0.0ms	x	@	-inf	((+ (* x x) 1) (* x x))
0.0ms	x	@	0	((+ (* x x) 1) (* x x))

simplify327.0ms (9.9%)

Memory

19.4MiB live, 206.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	88
1	20	88
2	35	88
3	56	88
4	88	88
5	102	88
6	131	88
7	227	88
8	628	88
9	1661	88
10	3195	88
11	5035	88
12	5441	88
13	5793	88
14	6154	88
15	6337	88
0	8951	79

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)

rewrite401.0ms (12.2%)

Memory

-40.6MiB live, 264.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	24	8
2	145	8
3	1172	8
0	8585	7

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

2 → 261

Calls

Call 1

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

Outputs
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eval262.0ms (8%)

Memory: 6.2MiB live, 43.8MiB allocated
Compiler: Compiled 6 669 to 608 computations (90.9% saved)

prune4.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	282	3	285
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	283	3	286

Accuracy

100.0%

Counts

286 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x #s(literal 1 binary64))
▶	48.5%	#s(approx (+ (* x x) 1) (*.f64 x x))
▶	55.1%	#s(approx (+ (* x x) 1) #s(literal 1 binary64))

Compiler

Compiled 20 to 15 computations (25% saved)

simplify41.0ms (1.2%)

Memory

-36.7MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	9	25
1	12	25
0	12	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)

Outputs
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)

localize15.0ms (0.4%)

Memory

20.4MiB live, 20.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	32.98314218123055	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	28.76166938598545	#s(approx (+ (* x x) 1) #s(literal 1 binary64))

Samples

9.0ms

256×

valid

Compiler

Compiled 51 to 15 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (55.7% of total)

ival-add: 1.0ms (27.8% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (1.1%)

Memory

-15.6MiB live, 20.4MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

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

simplify311.0ms (9.4%)

Memory

26.3MiB live, 262.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	192
1	20	192
2	35	192
3	56	192
4	88	192
5	102	192
6	131	192
7	227	192
8	628	192
9	1661	192
10	3195	192
11	5035	192
12	5441	192
13	5793	192
14	6154	192
15	6337	192
0	8951	165

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))

Outputs
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))

rewrite204.0ms (6.2%)

Memory

-14.2MiB live, 234.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	9	21
1	27	21
2	148	21
3	1177	21
0	8574	21

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 263

Calls

Call 1

Inputs
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))

Outputs
#<batchref>
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eval36.0ms (1.1%)

Memory: 8.2MiB live, 91.2MiB allocated
Compiler: Compiled 6 995 to 609 computations (91.3% saved)

prune8.0ms (0.3%)

Memory

2.6MiB live, 39.2MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	311	0	311
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	311	3	314

Accuracy

100.0%

Counts

314 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x #s(literal 1 binary64))
✓	48.5%	#s(approx (+ (* x x) 1) (*.f64 x x))
✓	55.1%	#s(approx (+ (* x x) 1) #s(literal 1 binary64))

Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes7.0ms (0.2%)

Memory

-20.3MiB live, 18.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (*.f64 x x))
(fma.f64 x x #s(literal 1 binary64))
(+.f64 (*.f64 x x) #s(literal 1 binary64))

Outputs
(fma.f64 x x #s(literal 1 binary64))

Calls

3 calls:

3.0ms	(+.f64 (*.f64 x x) #s(literal 1 binary64))
2.0ms	x
2.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.2%	2	`x`
99.2%	2	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
99.2%	2	`(*.f64 x x)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x x) 1) #s(literal 1 binary64))

Outputs
#s(approx (+ (* x x) 1) #s(literal 1 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(+.f64 (*.f64 x x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
55.1%	1	`x`
55.1%	1	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
55.1%	1	`(*.f64 x x)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch16.0ms (0.5%)

Memory

-26.6MiB live, 19.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.9650992063286375e-9	49729.37221969363

Samples

9.0ms

160×

valid

Compiler

Compiled 148 to 138 computations (6.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (101.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify28.0ms (0.9%)

Memory

0.5MiB live, 72.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	13	33

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 x x #s(literal 1 binary64))

(if (<=.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #s(approx (+ (* x x) 1) (*.f64 x x)))

#s(approx (+ (* x x) 1) #s(literal 1 binary64))

Outputs

(fma.f64 x x #s(literal 1 binary64))

(if (<=.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #s(approx (+ (* x x) 1) (*.f64 x x)))

#s(approx (+ (* x x) 1) #s(literal 1 binary64))

soundness672.0ms (20.4%)

Memory

13.8MiB live, 212.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	88
1	20	88
2	35	88
3	56	88
4	88	88
5	102	88
6	131	88
7	227	88
8	628	88
9	1661	88
10	3195	88
11	5035	88
12	5441	88
13	5793	88
14	6154	88
15	6337	88
0	8951	79
0	4	8
0	6	8
1	24	8
2	145	8
3	1172	8
0	8585	7

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 47 to 22 computations (53.2% saved)

preprocess186.0ms (5.6%)

Memory: -5.3MiB live, 116.9MiB allocated
Remove: (abs x)
Compiler: Compiled 84 to 36 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample637.0ms (19.3%)

explain59.0ms (1.8%)

preprocess15.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize16.0ms (0.5%)

series2.0ms (0.1%)

simplify327.0ms (9.9%)

rewrite401.0ms (12.2%)

eval262.0ms (8%)

prune4.0ms (0.1%)

simplify41.0ms (1.2%)

localize15.0ms (0.4%)

series37.0ms (1.1%)

simplify311.0ms (9.4%)

rewrite204.0ms (6.2%)

eval36.0ms (1.1%)

prune8.0ms (0.3%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch16.0ms (0.5%)

simplify28.0ms (0.9%)

soundness672.0ms (20.4%)

preprocess186.0ms (5.6%)

end0.0ms (0%)

Profiling