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

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%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample876.0ms (45.1%)

Memory

22.1MiB live, 584.3MiB allocated

Samples

654.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 319.0ms

ival-mult: 247.0ms (77.4% of total)

ival-sub: 62.0ms (19.4% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain91.0ms (4.7%)

Memory

-4.2MiB live, 114.9MiB allocated

FPErrors

Click to see full error table

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

50.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-mult: 25.0ms (87.9% of total)

ival-sub: 2.0ms (7% of total)

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

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

preprocess31.0ms (1.6%)

Memory

-6.3MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	39	29
2	90	26
3	198	26
4	306	26
5	330	26
6	332	26
0	4	5
0	6	5
1	11	5
2	19	5
3	28	5
4	41	5
5	60	5
6	96	5
7	128	5
8	157	5
9	177	5
10	189	5
0	189	5

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (*.f64 y y))

Outputs
(-.f64 x (*.f64 y y))
(fma.f64 (neg.f64 y) y x)

Symmetry

(abs y)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB 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
▶	100.0%	(-.f64 x (*.f64 y y))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify7.0ms (0.4%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	11	10
2	19	10
3	28	10
4	41	10
5	60	10
6	96	10
7	128	10
8	157	10
9	177	10
10	189	10
0	189	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (*.f64 y y))
x
(*.f64 y y)
y

Outputs
(-.f64 x (*.f64 y y))
(fma.f64 (neg.f64 y) y x)
x
(*.f64 y y)
y

localize64.0ms (3.3%)

Memory

-12.4MiB live, 24.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 x (*.f64 y y))
accuracy	0	(*.f64 y y)

Samples

59.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-mult: 2.0ms (60.4% of total)

ival-sub: 1.0ms (30.2% of total)

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

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

series3.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (pow y 2))) (taylor 0 y) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (pow y 2))) (taylor 0 y) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (pow y 2))) (taylor 0 y) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) 1)) (taylor inf y) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) 1)) (taylor inf y) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) 1)) (taylor inf y) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) 1)) (taylor -inf y) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) 1)) (taylor -inf y) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) 1)) (taylor -inf y) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 x) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- x (pow y 2)) (taylor 0 x) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- x (pow y 2)) (taylor 0 x) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- x (pow y 2)) (taylor 0 x) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (pow y 2) x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (pow y 2) x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (pow y 2) x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (pow y 2) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (pow y 2) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (pow y 2) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 y y)) (patch (-.f64 x (.f64 y y)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify109.0ms (5.6%)

Memory

8.5MiB live, 96.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	141
1	46	141
2	112	141
3	309	141
4	929	141
5	1915	141
6	3790	141
7	6274	141
0	8148	141

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

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

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

rewrite229.0ms (11.8%)

Memory

3.5MiB live, 349.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	26	8
2	179	8
3	1554	8
0	8483	8

Stop Event

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

Counts

2 → 201

Calls

Call 1

Inputs
(-.f64 x (*.f64 y y))
(*.f64 y y)

Outputs
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eval26.0ms (1.4%)

Memory: -6.9MiB live, 67.2MiB allocated
Compiler: Compiled 6 631 to 573 computations (91.4% saved)

prune5.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	233	1	234
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	233	2	235

Accuracy

100.0%

Counts

235 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y y))
▶	52.2%	#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))

Compiler

Compiled 10 to 9 computations (10% saved)

simplify10.0ms (0.5%)

Memory

-32.7MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	9	17
1	17	17
2	23	17
3	35	17
4	47	17
5	65	17
6	104	17
7	131	17
8	159	17
9	179	17
10	191	17
0	191	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y

Outputs
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y

localize17.0ms (0.9%)

Memory

6.1MiB live, 45.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	30.592023484214035	#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))

Samples

12.0ms

256×

valid

Compiler

Compiled 14 to 8 computations (42.9% saved)

Precisions

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

ival-mult: 3.0ms (49.7% of total)

ival-sub: 1.0ms (16.6% of total)

ival-neg: 1.0ms (16.6% of total)

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

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

series3.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())

Inputs

#s(alt #s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())

#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())

#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) 1)) (taylor inf y) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) 1)) (taylor inf y) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) 1)) (taylor inf y) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) 1)) (taylor -inf y) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) 1)) (taylor -inf y) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) 1)) (taylor -inf y) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 x) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (- x (pow y 2)) (taylor 0 x) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (- x (pow y 2)) (taylor 0 x) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (- x (pow y 2)) (taylor 0 x) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (pow y 2) x)))) (taylor inf x) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (pow y 2) x)))) (taylor inf x) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (pow y 2) x)))) (taylor inf x) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (pow y 2) x) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (pow y 2) x) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (pow y 2) x) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* y y)) (.f64 (neg.f64 y) y)) (patch #s(approx (- x ( y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify147.0ms (7.5%)

Memory

-11.3MiB live, 169.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	177
1	49	177
2	111	177
3	295	177
4	928	177
5	1962	177
6	3794	177
7	6291	177
0	8149	177

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

Outputs
x
(+ x (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y x)
(+ x (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y x)
(+ x (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ x (pow y 2)) 1))
(fma.f64 (neg.f64 y) y x)
(* (pow y 2) (- (/ x (pow y 2)) 1))
(fma.f64 (neg.f64 y) y x)
(* (pow y 2) (- (/ x (pow y 2)) 1))
(fma.f64 (neg.f64 y) y x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ x (pow y 2)) 1))
(fma.f64 (neg.f64 y) y x)
(* (pow y 2) (- (/ x (pow y 2)) 1))
(fma.f64 (neg.f64 y) y x)
(* (pow y 2) (- (/ x (pow y 2)) 1))
(fma.f64 (neg.f64 y) y x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(- x (pow y 2))
(fma.f64 (neg.f64 y) y x)
(- x (pow y 2))
(fma.f64 (neg.f64 y) y x)
(- x (pow y 2))
(fma.f64 (neg.f64 y) y x)
x
(* x (+ 1 (* -1 (/ (pow y 2) x))))
(fma.f64 (neg.f64 y) y x)
(* x (+ 1 (* -1 (/ (pow y 2) x))))
(fma.f64 (neg.f64 y) y x)
(* x (+ 1 (* -1 (/ (pow y 2) x))))
(fma.f64 (neg.f64 y) y x)
x
(* -1 (* x (- (/ (pow y 2) x) 1)))
(fma.f64 (neg.f64 y) y x)
(* -1 (* x (- (/ (pow y 2) x) 1)))
(fma.f64 (neg.f64 y) y x)
(* -1 (* x (- (/ (pow y 2) x) 1)))
(fma.f64 (neg.f64 y) y x)

rewrite53.0ms (2.8%)

Memory

6.2MiB live, 81.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
0	9	16
1	32	16
2	179	16
0	1649	16

Stop Event

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

Counts

3 → 41

Calls

Call 1

Inputs
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval16.0ms (0.8%)

Memory: -7.2MiB live, 38.8MiB allocated
Compiler: Compiled 658 to 154 computations (76.6% saved)

prune7.0ms (0.4%)

Memory

-17.0MiB live, 21.6MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	86	2	88

Accuracy

100.0%

Counts

88 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y y))
✓	52.2%	#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))

Compiler

Compiled 20 to 16 computations (20% saved)

regimes6.0ms (0.3%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
(-.f64 x (*.f64 y y))

Outputs
(-.f64 x (*.f64 y y))

Calls

4 calls:

2.0ms	y
2.0ms	x
1.0ms	(-.f64 x (*.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (*.f64 y y))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.3%)

Memory

-22.8MiB live, 15.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))

Outputs
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))

Calls

4 calls:

3.0ms	x
1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(-.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
52.2%	1	`x`
52.2%	1	`y`
52.2%	1	`(-.f64 x (*.f64 y y))`
52.2%	1	`(*.f64 y y)`

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify24.0ms (1.2%)

Memory

33.7MiB live, 72.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	17	15
2	22	15
3	25	15
4	26	15

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (*.f64 y y))
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))

Outputs
(-.f64 x (*.f64 y y))
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))

soundness187.0ms (9.6%)

Memory

-25.8MiB live, 89.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	141
1	46	141
2	112	141
3	309	141
4	929	141
5	1915	141
6	3790	141
7	6274	141
0	8148	141

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 14 to 11 computations (21.4% saved)

preprocess22.0ms (1.1%)

Memory: 35.5MiB live, 74.1MiB allocated
Remove: (abs y)
Compiler: Compiled 50 to 38 computations (24% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	29
1	39	29
2	90	26
3	198	26
4	306	26
5	330	26
6	332	26
0	4	5
0	6	5
1	11	5
2	19	5
3	28	5
4	41	5
5	60	5
6	96	5
7	128	5
8	157	5
9	177	5
10	189	5
0	189	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	11	10
2	19	10
3	28	10
4	41	10
5	60	10
6	96	10
7	128	10
8	157	10
9	177	10
10	189	10
0	189	10

Iter	Nodes	Cost
0	7	17
0	9	17
1	17	17
2	23	17
3	35	17
4	47	17
5	65	17
6	104	17
7	131	17
8	159	17
9	179	17
10	191	17
0	191	17

Iter	Nodes	Cost
0	12	29
1	39	29
2	90	26
3	198	26
4	306	26
5	330	26
6	332	26
0	4	5
0	6	5
1	11	5
2	19	5
3	28	5
4	41	5
5	60	5
6	96	5
7	128	5
8	157	5
9	177	5
10	189	5
0	189	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	11	10
2	19	10
3	28	10
4	41	10
5	60	10
6	96	10
7	128	10
8	157	10
9	177	10
10	189	10
0	189	10

Iter	Nodes	Cost
0	7	17
0	9	17
1	17	17
2	23	17
3	35	17
4	47	17
5	65	17
6	104	17
7	131	17
8	159	17
9	179	17
10	191	17
0	191	17

start0.0ms (0%)

analyze0.0ms (0%)

sample876.0ms (45.1%)

explain91.0ms (4.7%)

preprocess31.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.4%)

localize64.0ms (3.3%)

series3.0ms (0.2%)

simplify109.0ms (5.6%)

rewrite229.0ms (11.8%)

eval26.0ms (1.4%)

prune5.0ms (0.3%)

simplify10.0ms (0.5%)

localize17.0ms (0.9%)

series3.0ms (0.2%)

simplify147.0ms (7.5%)

rewrite53.0ms (2.8%)

eval16.0ms (0.8%)

prune7.0ms (0.4%)

regimes6.0ms (0.3%)

regimes7.0ms (0.3%)

simplify24.0ms (1.2%)

soundness187.0ms (9.6%)

preprocess22.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	29
1	39	29
2	90	26
3	198	26
4	306	26
5	330	26
6	332	26
0	4	5
0	6	5
1	11	5
2	19	5
3	28	5
4	41	5
5	60	5
6	96	5
7	128	5
8	157	5
9	177	5
10	189	5
0	189	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	11	10
2	19	10
3	28	10
4	41	10
5	60	10
6	96	10
7	128	10
8	157	10
9	177	10
10	189	10
0	189	10

Iter	Nodes	Cost
0	7	17
0	9	17
1	17	17
2	23	17
3	35	17
4	47	17
5	65	17
6	104	17
7	131	17
8	159	17
9	179	17
10	191	17
0	191	17