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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample705.0ms (48.3%)

Memory

13.8MiB live, 1 145.0MiB allocated; 224ms collecting garbage

Samples

503.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-add: 258.0ms (98.1% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain52.0ms (3.6%)

Memory

-17.6MiB live, 134.4MiB allocated; 19ms 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

17.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-add: 5.0ms (82.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess214.0ms (14.7%)

Memory

38.5MiB live, 230.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (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
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	21	5
5	37	5
6	75	5
7	158	5
8	531	5
9	2733	5
0	8055	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

series38.0ms (2.6%)

Memory

-35.7MiB live, 11.4MiB allocated; 2ms 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
35.0ms	x	@	-inf	((+ (+ x y) x) (+ x y) x y)
1.0ms	x	@	inf	((+ (+ x y) x) (+ x y) x y)
1.0ms	y	@	0	((+ (+ 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)

rewrite133.0ms (9.1%)

Memory

-20.7MiB live, 193.0MiB allocated; 89ms 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))))

eval5.0ms (0.4%)

Memory: 17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 754 to 169 computations (77.6% saved)

prune3.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	4	56

Accuracy

100.0%

Counts

56 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 2 binary64) y)
▶	56.3%	(+.f64 #s(approx (+ x y) y) x)
▶	53.6%	(+.f64 #s(approx (+ x y) x) x)
▶	48.3%	#s(approx (+ (+ x y) x) y)

Compiler

Compiled 25 to 19 computations (24% saved)

series3.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB 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)

rewrite82.0ms (5.6%)

Memory

-36.1MiB live, 151.9MiB allocated; 23ms 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))))

eval7.0ms (0.5%)

Memory: 25.7MiB live, 25.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 277 to 207 computations (83.8% saved)

prune4.0ms (0.3%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	78	4	82

Accuracy

100.0%

Counts

82 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 2 binary64) y)
✓	56.3%	(+.f64 #s(approx (+ x y) y) x)
✓	53.6%	(+.f64 #s(approx (+ x y) x) x)
✓	48.3%	#s(approx (+ (+ x y) x) y)

Compiler

Compiled 55 to 32 computations (41.8% saved)

regimes13.0ms (0.9%)

Memory

-26.8MiB live, 26.0MiB allocated; 8ms 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:

8.0ms	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)

regimes6.0ms (0.4%)

Memory

18.3MiB live, 18.3MiB 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	x
2.0ms	(+.f64 (+.f64 x y) x)
2.0ms	y

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)

regimes8.0ms (0.5%)

Memory

-29.1MiB live, 16.8MiB allocated; 3ms 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:

4.0ms	x
2.0ms	(+.f64 (+.f64 x y) x)
2.0ms	y

Results

Accuracy	Segments	Branch
60.9%	2	`(+.f64 (+.f64 x y) x)`
80.2%	3	`x`
81.2%	3	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes3.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB 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

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
78.8%	3	`x`
79.4%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB 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	y
1.0ms	x

Results

Accuracy	Segments	Branch
48.3%	1	`(+.f64 (+.f64 x y) x)`
48.3%	1	`x`
48.3%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch57.0ms (3.9%)

Memory

-19.0MiB live, 27.3MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	3.5816579117791684e-62	1.177492344127596e-55
8.0ms	-6.1789649429943774e+32	-3.808876551714534e+31

Samples

8.0ms

256×

valid

Compiler

Compiled 232 to 201 computations (13.4% saved)

Precisions

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

ival-add: 3.0ms (101.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch13.0ms (0.9%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.5816579117791684e-62	1.177492344127596e-55
4.0ms	-6.1789649429943774e+32	-3.808876551714534e+31

Samples

5.0ms

160×

valid

Compiler

Compiled 232 to 201 computations (13.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 2.0ms (109.2% of total)

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

adjust: 0.0ms (0% of total)

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

simplify51.0ms (3.5%)

Memory

-15.2MiB live, 30.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	62
1	36	62
2	42	62
3	49	62
4	88	62
5	466	62
6	3917	62

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 x #s(literal 2 binary64) y)
(+.f64 (+.f64 x y) x)
(if (<=.f64 y #s(literal -124999999999999993196903873380352 binary64)) (+.f64 #s(approx (+ x y) y) x) (if (<=.f64 y #s(literal 2883494409718323/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (+.f64 #s(approx (+ x y) x) x) (+.f64 #s(approx (+ x y) y) x)))
(if (<=.f64 y #s(literal -145000000000000001475895718051840 binary64)) #s(approx (+ (+ x y) x) y) (if (<=.f64 y #s(literal 6183964726724345/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (+.f64 #s(approx (+ x y) x) x) #s(approx (+ (+ x y) x) y)))
#s(approx (+ (+ x y) x) y)

Outputs
(fma.f64 x #s(literal 2 binary64) y)
(+.f64 (+.f64 x y) x)
(if (<=.f64 y #s(literal -124999999999999993196903873380352 binary64)) (+.f64 #s(approx (+ x y) y) x) (if (<=.f64 y #s(literal 2883494409718323/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (+.f64 #s(approx (+ x y) x) x) (+.f64 #s(approx (+ x y) y) x)))
(if (or (<=.f64 y #s(literal -124999999999999993196903873380352 binary64)) (not (<=.f64 y #s(literal 2883494409718323/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)))) (+.f64 #s(approx (+ x y) y) x) (+.f64 #s(approx (+ x y) x) x))
(if (<=.f64 y #s(literal -145000000000000001475895718051840 binary64)) #s(approx (+ (+ x y) x) y) (if (<=.f64 y #s(literal 6183964726724345/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (+.f64 #s(approx (+ x y) x) x) #s(approx (+ (+ x y) x) y)))
#s(approx (+ (+ x y) x) y)

derivations29.0ms (2%)

Memory

0.8MiB live, 48.6MiB allocated; 10ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 68 to 26 computations (61.8% saved)

preprocess30.0ms (2.1%)

Memory: 0.7MiB live, 90.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 156 to 70 computations (55.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample705.0ms (48.3%)

explain52.0ms (3.6%)

preprocess214.0ms (14.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series38.0ms (2.6%)

rewrite133.0ms (9.1%)

eval5.0ms (0.4%)

prune3.0ms (0.2%)

series3.0ms (0.2%)

rewrite82.0ms (5.6%)

eval7.0ms (0.5%)

prune4.0ms (0.3%)

regimes13.0ms (0.9%)

regimes6.0ms (0.4%)

regimes8.0ms (0.5%)

regimes3.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch57.0ms (3.9%)

bsearch13.0ms (0.9%)

simplify51.0ms (3.5%)

derivations29.0ms (2%)

preprocess30.0ms (2.1%)

end0.0ms (0%)

Profiling