Metrics for Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, A

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

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)

sample519.0ms (51.4%)

Memory

8.3MiB live, 1 390.7MiB allocated; 170ms collecting garbage

Samples

302.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-add!: 74.0ms (97% of total)

adjust: 2.0ms (2.6% of total)

Bogosity

explain43.0ms (4.2%)

Memory

37.1MiB live, 137.3MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

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

14.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-add!: 3.0ms (103.4% of total)

adjust: 0.0ms (0% of total)

preprocess78.0ms (7.7%)

Memory

-36.7MiB live, 56.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	29	36
2	49	34
3	59	32
4	88	32
5	137	32
6	206	30
7	385	30
8	1070	30
9	4945	30

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 x y) x)

Compiler

Compiled 10 to 8 computations (20% saved)

series3.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

4 → 16

Calls

Call 1

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

Outputs
#s(approx (+ (+ x y) x) #s(hole binary64 y))
#s(approx (+ (+ x y) x) #s(hole binary64 (+ y (* 2 x))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ x y) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ x y) x) #s(hole binary64 (* x (+ 2 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (+ x y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 2)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ x y) x) #s(hole binary64 (* y (+ 1 (* 2 (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (+ x y) x) #s(hole binary64 (* -1 (* y (- (* -2 (/ x y)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

rewrite84.0ms (8.3%)

Memory

24.9MiB live, 216.0MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	174
0	55	167
1	244	167
0	1963	154

Stop Event

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

Counts

20 → 53

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) x)
(+.f64 x y)
x
y
#s(approx (+ (+ x y) x) #s(hole binary64 y))
#s(approx (+ (+ x y) x) #s(hole binary64 (+ y (* 2 x))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ x y) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ x y) x) #s(hole binary64 (* x (+ 2 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (+ x y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 2)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ x y) x) #s(hole binary64 (* y (+ 1 (* 2 (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (+ x y) x) #s(hole binary64 (* -1 (* y (- (* -2 (/ x y)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Outputs
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) x) y))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 x (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 y (.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 4 binary64)))) (neg.f64 (-.f64 y (.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (+.f64 y x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 y (.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 y x) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (-.f64 (.f64 y y) (.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 x #s(literal 2 binary64) y)
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 y (*.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 y x) x)))
(-.f64 y (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 y (*.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 y y))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y) (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) y)
(+.f64 (+.f64 y x) x)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 y x))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 y x)
(+.f64 x y)
x
y
#s(approx (+ (+ x y) x) y)
#s(approx (+ (+ x y) x) (fma.f64 #s(literal 2 binary64) x y))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ x y) x) (*.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) x))
#s(approx (+ x y) x)
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (+ (+ x y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
#s(approx y y)
#s(approx (+ (+ x y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (+ (+ x y) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))

eval6.0ms (0.6%)

Memory: -26.4MiB live, 20.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 734 to 168 computations (77.1% saved)

prune2.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Accuracy

100.0%

Counts

52 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 2 binary64) y)
▶	60.8%	(+.f64 #s(approx (+ x y) y) x)
▶	46.5%	(+.f64 #s(approx (+ x y) x) x)
▶	53.8%	#s(approx (+ (+ x y) x) y)

Compiler

Compiled 25 to 19 computations (24% saved)

series3.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

9 → 23

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) y)
y
(+.f64 #s(approx (+ x y) x) x)
#s(approx (+ x y) x)
x
(+.f64 #s(approx (+ x y) y) x)
#s(approx (+ x y) y)
(fma.f64 x #s(literal 2 binary64) y)
#s(literal 2 binary64)

Outputs
#s(approx (+ (+ x y) x) #s(hole binary64 y))
#s(approx (+ (+ x y) x) #s(hole binary64 (+ y (* 2 x))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x 2) y) #s(hole binary64 y))
#s(approx (+ (* x 2) y) #s(hole binary64 (+ y (* 2 x))))
#s(approx (+ (+ x y) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ x y) x) #s(hole binary64 (* x (+ 2 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* x 2) y) #s(hole binary64 (* 2 x)))
#s(approx (+ (* x 2) y) #s(hole binary64 (* x (+ 2 (/ y x)))))
#s(approx (+ (+ x y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 2)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (* x 2) y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ x y) x) #s(hole binary64 (* y (+ 1 (* 2 (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* x 2) y) #s(hole binary64 (* y (+ 1 (* 2 (/ x y))))))
#s(approx (+ (+ x y) x) #s(hole binary64 (* -1 (* y (- (* -2 (/ x y)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ (* x 2) y) #s(hole binary64 (* -1 (* y (- (* -2 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (+ x y) x) y (+ (+ x y) x) (+ x y) x (+ (+ x y) x) (+ x y) (+ (* x 2) y) 2)
0.0ms	y	@	-inf	((+ (+ x y) x) y (+ (+ x y) x) (+ x y) x (+ (+ x y) x) (+ x y) (+ (* x 2) y) 2)
0.0ms	x	@	inf	((+ (+ x y) x) y (+ (+ x y) x) (+ x y) x (+ (+ x y) x) (+ x y) (+ (* x 2) y) 2)
0.0ms	y	@	inf	((+ (+ x y) x) y (+ (+ x y) x) (+ x y) x (+ (+ x y) x) (+ x y) (+ (* x 2) y) 2)
0.0ms	x	@	0	((+ (+ x y) x) y (+ (+ x y) x) (+ x y) x (+ (+ x y) x) (+ x y) (+ (* x 2) y) 2)

rewrite75.0ms (7.4%)

Memory

2.6MiB live, 145.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	284
0	66	279
1	294	264
0	2245	258

Stop Event

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

Counts

32 → 78

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) y)
y
(+.f64 #s(approx (+ x y) x) x)
#s(approx (+ x y) x)
x
(+.f64 #s(approx (+ x y) y) x)
#s(approx (+ x y) y)
(fma.f64 x #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(approx (+ (+ x y) x) #s(hole binary64 y))
#s(approx (+ (+ x y) x) #s(hole binary64 (+ y (* 2 x))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x 2) y) #s(hole binary64 y))
#s(approx (+ (* x 2) y) #s(hole binary64 (+ y (* 2 x))))
#s(approx (+ (+ x y) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ x y) x) #s(hole binary64 (* x (+ 2 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* x 2) y) #s(hole binary64 (* 2 x)))
#s(approx (+ (* x 2) y) #s(hole binary64 (* x (+ 2 (/ y x)))))
#s(approx (+ (+ x y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 2)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (* x 2) y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ x y) x) #s(hole binary64 (* y (+ 1 (* 2 (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* x 2) y) #s(hole binary64 (* y (+ 1 (* 2 (/ x y))))))
#s(approx (+ (+ x y) x) #s(hole binary64 (* -1 (* y (- (* -2 (/ x y)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ (* x 2) y) #s(hole binary64 (* -1 (* y (- (* -2 (/ x y)) 1)))))

Outputs
#s(approx (+ (+ x y) x) y)
y
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ x y) x) #s(literal 2 binary64))) (-.f64 x #s(approx (+ x y) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (+ x y) x) x) (-.f64 #s(approx (+ x y) x) x))) (neg.f64 (-.f64 #s(approx (+ x y) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ x y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ x y) x) #s(approx (+ x y) x) (*.f64 x (-.f64 x #s(approx (+ x y) x))))))
(/.f64 (*.f64 (+.f64 #s(approx (+ x y) x) x) (-.f64 #s(approx (+ x y) x) x)) (-.f64 #s(approx (+ x y) x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ x y) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ x y) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ x y) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ x y) x) #s(literal 3 binary64))) (fma.f64 #s(approx (+ x y) x) #s(approx (+ x y) x) (*.f64 x (-.f64 x #s(approx (+ x y) x)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ x y) x) #s(literal 2 binary64)) (-.f64 #s(approx (+ x y) x) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ x y) x) x)))
(+.f64 (/.f64 (pow.f64 #s(approx (+ x y) x) #s(literal 3 binary64)) (fma.f64 #s(approx (+ x y) x) #s(approx (+ x y) x) (.f64 x (-.f64 x #s(approx (+ x y) x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ x y) x) #s(approx (+ x y) x) (.f64 x (-.f64 x #s(approx (+ x y) x))))))
(+.f64 #s(approx (+ x y) x) x)
(+.f64 x #s(approx (+ x y) x))
#s(approx (+ x y) x)
x
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ x y) y) #s(literal 2 binary64))) (-.f64 x #s(approx (+ x y) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (+ x y) y) x) (-.f64 #s(approx (+ x y) y) x))) (neg.f64 (-.f64 #s(approx (+ x y) y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ x y) y) #s(approx (+ x y) y) (*.f64 x (-.f64 x #s(approx (+ x y) y))))))
(/.f64 (*.f64 (+.f64 #s(approx (+ x y) y) x) (-.f64 #s(approx (+ x y) y) x)) (-.f64 #s(approx (+ x y) y) x))
(/.f64 (+.f64 (pow.f64 #s(approx (+ x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ x y) y) #s(literal 2 binary64)) (*.f64 #s(approx (+ x y) y) x))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (+ x y) y) #s(approx (+ x y) y) (*.f64 x (-.f64 x #s(approx (+ x y) y)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ x y) y) #s(literal 2 binary64)) (-.f64 #s(approx (+ x y) y) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ x y) y) x)))
(+.f64 (/.f64 (pow.f64 #s(approx (+ x y) y) #s(literal 3 binary64)) (fma.f64 #s(approx (+ x y) y) #s(approx (+ x y) y) (.f64 x (-.f64 x #s(approx (+ x y) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ x y) y) #s(approx (+ x y) y) (.f64 x (-.f64 x #s(approx (+ x y) y))))))
(+.f64 #s(approx (+ x y) y) x)
(+.f64 x #s(approx (+ x y) y))
#s(approx (+ x y) y)
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 x (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y (.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (+.f64 y x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (-.f64 y (.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 y) y))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 y x) x))
(/.f64 (-.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 y (.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (-.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y) (*.f64 y y)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 x #s(literal 2 binary64) y)
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 y x) x)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 y (*.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(-.f64 y (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 y (*.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 y y))) (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y) (*.f64 y y))))
(+.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (*.f64 #s(literal 2 binary64) x) y)
(+.f64 (+.f64 y x) x)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 y x))
#s(literal 2 binary64)
#s(approx (+ (+ x y) x) y)
#s(approx (+ (+ x y) x) (fma.f64 #s(literal 2 binary64) x y))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (+ (+ x y) x) y)
#s(approx (+ (+ x y) x) (fma.f64 #s(literal 2 binary64) x y))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ x y) x) (*.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) x))
#s(approx (+ x y) x)
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ x y) x) (*.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) x))
#s(approx (+ (+ x y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
#s(approx (+ (+ x y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))))
#s(approx y y)
#s(approx (+ (+ x y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (+ (+ x y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) y))
#s(approx (+ (+ x y) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ (+ x y) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))))

eval8.0ms (0.8%)

Memory: -18.0MiB live, 26.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 191 to 205 computations (82.8% saved)

prune3.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	64	4	68

Accuracy

100.0%

Counts

68 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 2 binary64) y)
✓	60.8%	(+.f64 #s(approx (+ x y) y) x)
✓	46.5%	(+.f64 #s(approx (+ x y) x) x)
✓	53.8%	#s(approx (+ (+ x y) x) y)

Compiler

Compiled 55 to 32 computations (41.8% saved)

regimes12.0ms (1.2%)

Memory

-13.1MiB live, 43.6MiB allocated; 3ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) y)
(+.f64 #s(approx (+ x y) x) x)
(+.f64 #s(approx (+ x y) y) x)
(+.f64 (+.f64 x y) x)
(fma.f64 x #s(literal 2 binary64) y)

Outputs
(fma.f64 x #s(literal 2 binary64) y)

Calls

3 calls:

7.0ms	(+.f64 (+.f64 x y) x)
2.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes6.0ms (0.6%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) y)
(+.f64 #s(approx (+ x y) x) x)
(+.f64 #s(approx (+ x y) y) x)
(+.f64 (+.f64 x y) x)

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

Calls

3 calls:

2.0ms	y
2.0ms	(+.f64 (+.f64 x y) x)
2.0ms	x

Results

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

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes7.0ms (0.7%)

Memory

-24.3MiB live, 22.6MiB allocated; 1ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) y)
(+.f64 #s(approx (+ x y) x) x)
(+.f64 #s(approx (+ x y) y) x)

Outputs
(+.f64 #s(approx (+ x y) y) x)
(+.f64 #s(approx (+ x y) x) x)
(+.f64 #s(approx (+ x y) y) x)

Calls

3 calls:

3.0ms	y
2.0ms	(+.f64 (+.f64 x y) x)
2.0ms	x

Results

Accuracy	Segments	Branch
60.8%	1	`(+.f64 (+.f64 x y) x)`
75.7%	3	`x`
78.4%	3	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes2.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) y)
(+.f64 #s(approx (+ x y) x) x)

Outputs
#s(approx (+ (+ x y) x) y)
(+.f64 #s(approx (+ x y) x) x)
#s(approx (+ (+ x y) x) y)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
76.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) y)

Outputs
#s(approx (+ (+ x y) x) y)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.8%	1	`(+.f64 (+.f64 x y) x)`
53.8%	1	`x`
53.8%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch15.0ms (1.5%)

Memory

1.1MiB live, 46.8MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	5.424192415709026e-55	5.5251437588299e-53
7.0ms	-3.649391261035147e+41	-1.733738101601795e+41

Samples

7.0ms

192×

valid

Compiler

Compiled 176 to 153 computations (13.1% saved)

Precisions

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

ival-add!: 1.0ms (91.7% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.424192415709026e-55	5.5251437588299e-53
0.0ms	-3.649391261035147e+41	-1.733738101601795e+41

Samples

0.0ms

16×

valid

Compiler

Compiled 176 to 153 computations (13.1% saved)

Precisions

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

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations31.0ms (3%)

Memory

-3.0MiB live, 95.9MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 74 to 23 computations (68.9% saved)

preprocess109.0ms (10.8%)

Memory: -25.9MiB live, 111.4MiB allocated; 11ms collecting garbage
Compiler: Compiled 168 to 64 computations (61.9% saved)

end0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample519.0ms (51.4%)

explain43.0ms (4.2%)

preprocess78.0ms (7.7%)

series3.0ms (0.3%)

rewrite84.0ms (8.3%)

eval6.0ms (0.6%)

prune2.0ms (0.2%)

series3.0ms (0.3%)

rewrite75.0ms (7.4%)

eval8.0ms (0.8%)

prune3.0ms (0.3%)

regimes12.0ms (1.2%)

regimes6.0ms (0.6%)

regimes7.0ms (0.7%)

regimes2.0ms (0.1%)

regimes3.0ms (0.3%)

bsearch15.0ms (1.5%)

bsearch2.0ms (0.2%)

derivations31.0ms (3%)

preprocess109.0ms (10.8%)

end0.0ms (0%)

Profiling