Metrics for Graphics.Rendering.Chart.Plot.Pie:renderPie from Chart-1.5.3

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.2s (31.7%)

Memory

5.0MiB live, 846.9MiB allocated

Samples

393.0ms	4 245×	0	valid
373.0ms	2 918×	1	valid
130.0ms	1 093×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 574.0ms

ival-sub: 281.0ms (48.9% of total)

ival-add: 248.0ms (43.2% of total)

adjust: 37.0ms (6.4% of total)

ival-true: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess573.0ms (15.8%)

Memory

1.7MiB live, 689.3MiB allocated

Algorithm

2×	egg-herbie

Rules

19 264×	`accelerator-lowering-fma.f32`
19 264×	`accelerator-lowering-fma.f64`
3 602×	`associate-+r+`
2 842×	`associate-+r-`
2 612×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	41	30
2	135	8
3	330	8
4	603	8
5	1130	8
6	1678	8
7	2542	8
8	3059	8
9	3316	8
10	3362	8
11	3378	8
12	3394	8
13	3394	8
14	3606	8
15	3796	8
16	3818	8
17	3822	8
18	3826	8
0	4	5
1	9	5
2	20	3
3	45	1
4	72	1
5	201	1
6	752	1
7	1634	1
8	2510	1
9	2988	1
10	3233	1
11	3281	1
12	3294	1
13	3294	1
14	3980	1
15	4396	1
16	4770	1
17	4902	1
18	4990	1
19	4990	1
20	5070	1
21	5070	1
22	7304	1
23	7966	1
0	8250	1

Stop Event

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

Calls

Call 1

Inputs
(- (+ x y) x)

Outputs
(- (+ x y) x)
y

Call 2

Inputs
(- (+ x y) x)
(- (+ (neg x) y) (neg x))
(- (+ x (neg y)) x)
(neg (- (+ (neg x) y) (neg x)))
(neg (- (+ x (neg y)) x))
(- (+ y x) y)

Outputs
(- (+ x y) x)
y
(- (+ (neg x) y) (neg x))
y
(- (+ x (neg y)) x)
(neg y)
(neg (- (+ (neg x) y) (neg x)))
(neg y)
(neg (- (+ x (neg y)) x))
y
(- (+ y x) y)
x

Symmetry

(abs x)

(negabs y)

explain133.0ms (3.7%)

Memory

-19.3MiB live, 140.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
137	-	-	`(-.f64 (+.f64 x y) x)`
0	-	-	`y`
0	-	-	`(+.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (+.f64 x y) x)`	cancellation	137	1

Confusion

	Predicted +	Predicted -
+	137	0
-	0	119

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	137	0	0
-	0	1	118

Precision?

0.9927536231884058

Recall?

1.0

Freqs

test

number	freq
0	119
1	137

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	202×	1	valid
8.0ms	244×	0	valid
5.0ms	66×	2	valid

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

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

ival-add: 4.0ms (35.6% of total)

ival-sub: 4.0ms (35.6% of total)

adjust: 2.0ms (17.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.1%	(-.f64 (+.f64 x y) x)

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify639.0ms (17.6%)

Memory

-6.2MiB live, 507.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	384	(-.f64 (+.f64 x y) x)

Rules

19 264×	`accelerator-lowering-fma.f32`
19 264×	`accelerator-lowering-fma.f64`
2 612×	`unsub-neg`
2 510×	`distribute-lft-in`
2 068×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	4	14
1	9	14
2	20	10
3	45	6
4	72	6
5	201	6
6	752	6
7	1634	6
8	2510	6
9	2988	6
10	3233	6
11	3281	6
12	3294	6
13	3294	6
14	3980	6
15	4396	6
16	4770	6
17	4902	6
18	4990	6
19	4990	6
20	5070	6
21	5070	6
22	7304	6
23	7966	6
0	8250	6

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (+ x y) x)
(+ x y)
x
y

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

localize18.0ms (0.5%)

Memory

31.9MiB live, 31.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	50.1%	(-.f64 (+.f64 x y) x)

Samples

6.0ms	101×	1	valid
4.0ms	122×	0	valid
3.0ms	33×	2	valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-add: 2.0ms (36% of total)

ival-sub: 2.0ms (36% of total)

adjust: 1.0ms (18% of total)

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

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

series1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (- (+ x y) x)>
#<alt (+ x y)>

Outputs
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

12 calls:

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

rewrite440.0ms (12.1%)

Memory

-13.6MiB live, 494.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 322×	`accelerator-lowering-fma.f32`
6 322×	`accelerator-lowering-fma.f64`
4 602×	`-lowering-.f32`
4 602×	`-lowering-.f64`
2 154×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	32	8
2	303	6
3	4885	6
0	8497	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 233

Calls

Call 1

Inputs
(- (+ x y) x)
(+ x y)

Outputs
(+.f64 x (-.f64 y x))
(+.f64 y #s(literal 0 binary64))
(+.f64 (+.f64 x y) (neg.f64 x))
(+.f64 (neg.f64 x) (+.f64 x y))
(+.f64 (-.f64 y x) x)
(+.f64 (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 x y) (+.f64 x y)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (fma.f64 #s(literal 2 binary64) x y)) (neg.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x y))))
(+.f64 #s(literal 0 binary64) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 0 binary64)))) #s(literal -1 binary64)))
(-.f64 y #s(literal 0 binary64))
(-.f64 (+.f64 x y) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (-.f64 (/.f64 (.f64 y y) (-.f64 x y)) (neg.f64 x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 y (/.f64 y (-.f64 x y)) x))
(-.f64 (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 x y) (+.f64 x y)))))
(-.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (fma.f64 #s(literal 2 binary64) x y)) (/.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x y)))
(-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 x y)))
(-.f64 (/.f64 (.f64 x x) (+.f64 (-.f64 x y) x)) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (+.f64 (-.f64 x y) x)))
(-.f64 (+.f64 (+.f64 x y) #s(literal 0 binary64)) x)
(-.f64 (+.f64 (neg.f64 x) (/.f64 (.f64 x x) (-.f64 x y))) (/.f64 (.f64 y y) (-.f64 x y)))
(fma.f64 x #s(literal -1 binary64) (+.f64 x y))
(fma.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (neg.f64 x))
(fma.f64 (+.f64 x y) (/.f64 (+.f64 x y) (fma.f64 #s(literal 2 binary64) x y)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x y))))
(fma.f64 (+.f64 x y) (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 x y) (+.f64 x y)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (*.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 x))
(fma.f64 (+.f64 x y) (pow.f64 (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (+.f64 x y) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))) (neg.f64 x))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y))) x)
(fma.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) (neg.f64 x))
(fma.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y (-.f64 y x)))) (neg.f64 x))
(fma.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 x y) (+.f64 x y)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y)) (neg.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x y))))
(fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (+.f64 x y) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 x y) (+.f64 x y)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (*.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 x))
(fma.f64 (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (+.f64 x y))
(fma.f64 #s(literal -1 binary64) (-.f64 x y) x)
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 x))
(fma.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 x y) (+.f64 x y)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y) x)
(fma.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y) (neg.f64 x))
(fma.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (+.f64 y #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x y))) (+.f64 y #s(literal 0 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x y))))
(fma.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x (+.f64 x y)) (.f64 (+.f64 x y) (+.f64 x y))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x y))))
(fma.f64 (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 (+.f64 x y) (.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (.f64 (.f64 x (fma.f64 #s(literal 2 binary64) x y)) (.f64 (.f64 x (fma.f64 #s(literal 2 binary64) x y)) (.f64 x (fma.f64 #s(literal 2 binary64) x y)))))) (fma.f64 (.f64 x (fma.f64 #s(literal 2 binary64) x y)) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) x y)) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) x y))))) (-.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) x y))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (*.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y))) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))) x)
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(fma.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y) (neg.f64 x))
(fma.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x) x)
(fma.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (neg.f64 x))
(fma.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (*.f64 y (-.f64 y x))) (neg.f64 x))
(fma.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y))) (fma.f64 x (+.f64 x y) (.f64 y y)) (neg.f64 x))
(fma.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x x (*.f64 y (-.f64 y x))) x)
(fma.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x (+.f64 x y) (*.f64 y y)) (neg.f64 x))
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(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y))))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x x (.f64 y (-.f64 y x))) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x x (.f64 y (-.f64 y x))) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (+.f64 x y))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal 1 binary64)) (+.f64 x y))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 x x) (.f64 y (-.f64 y x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) #s(literal 1 binary64)))

simplify249.0ms (6.8%)

Memory

-9.7MiB live, 328.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 560×	`-lowering-.f32`
3 560×	`-lowering-.f64`
3 112×	`/-lowering-/.f32`
3 112×	`/-lowering-/.f64`
2 108×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	84
1	57	84
2	127	84
3	385	84
4	1074	84
5	1996	84
6	2686	84
7	3191	84
8	3630	84
9	3830	84
10	3864	84
11	4600	84
12	4833	84
13	5567	84
14	6599	84
15	7548	84
0	8078	84

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval33.0ms (0.9%)

Memory: -9.9MiB live, 67.7MiB allocated
Compiler: Compiled 7 425 to 635 computations (91.4% saved)

prune29.0ms (0.8%)

Memory

-3.2MiB live, 76.0MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	280	1	281
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	281	1	282

Accuracy

100.0%

Counts

282 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	y

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
y

Outputs
y

localize6.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Samples

4.0ms

256×

valid

Compiler

Compiled 3 to 4 computations (-33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

series0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite7.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	y

Compiler

Compiled 11 to 6 computations (45.5% saved)

regimes26.0ms (0.7%)

Memory

-28.6MiB live, 9.5MiB allocated

Accuracy

Total -31.9b remaining (-∞%)

Threshold costs -31.9b (-∞%)

Counts

2 → 1

Calls

Call 1

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

Outputs
y

Calls

3 calls:

23.0ms	x
1.0ms	y
1.0ms	(-.f64 (+.f64 x y) x)

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify7.0ms (0.2%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Calls

Call 1

Inputs
y

Outputs
y

soundness282.0ms (7.8%)

Memory

-10.7MiB live, 67.4MiB allocated

Rules

3 560×	`-lowering-.f32`
3 560×	`-lowering-.f64`
3 112×	`/-lowering-/.f32`
3 112×	`/-lowering-/.f64`
2 108×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	84
1	57	84
2	127	84
3	385	84
4	1074	84
5	1996	84
6	2686	84
7	3191	84
8	3630	84
9	3830	84
10	3864	84
11	4600	84
12	4833	84
13	5567	84
14	6599	84
15	7548	84
0	8078	84

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 6 to 4 computations (33.3% saved)

preprocess29.0ms (0.8%)

Memory

9.3MiB live, 86.2MiB allocated

Remove

(negabs y)

(abs x)

Compiler

Compiled 42 to 28 computations (33.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.2s (31.7%)

preprocess573.0ms (15.8%)

explain133.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify639.0ms (17.6%)

localize18.0ms (0.5%)

series1.0ms (0%)

rewrite440.0ms (12.1%)

simplify249.0ms (6.8%)

eval33.0ms (0.9%)

prune29.0ms (0.8%)

simplify3.0ms (0.1%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite7.0ms (0.2%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes26.0ms (0.7%)

simplify7.0ms (0.2%)

soundness282.0ms (7.8%)

preprocess29.0ms (0.8%)

end0.0ms (0%)

Profiling