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

0.7MiB live, 0.7MiB 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)

sample539.0ms (54.1%)

Memory

-11.3MiB live, 662.8MiB allocated; 139ms collecting garbage

Samples

277.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-add!: 46.0ms (97.7% of total)

adjust: 1.0ms (2.1% of total)

Bogosity

preprocess81.0ms (8.1%)

Memory

-33.9MiB live, 12.7MiB allocated; 8ms 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 8 to 8 computations (0% saved)

series3.0ms (0.3%)

Memory

6.8MiB live, 6.8MiB 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)
1.0ms	x	@	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)

rewrite73.0ms (7.4%)

Memory

12.9MiB live, 105.6MiB allocated; 6ms 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 x x) y))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 y x) (+.f64 y x))) (-.f64 x (+.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 y y) y) (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 (-.f64 y x) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 (.f64 x x) x) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (-.f64 (+.f64 y x) x))) (neg.f64 (-.f64 (+.f64 y x) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 x (-.f64 x (+.f64 y x))))))
(/.f64 (-.f64 (.f64 y y) (.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 (-.f64 y x) x))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (-.f64 (+.f64 y x) x)) (-.f64 (+.f64 y x) x))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 (.f64 x x) x) #s(literal 8 binary64))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (-.f64 (.f64 y y) (*.f64 (+.f64 x x) y))))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 (.f64 x x) x) #s(literal 8 binary64))) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (*.f64 y y)))
(/.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (+.f64 y x) x))))
(/.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 x x) x)) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 x (-.f64 x (+.f64 y x)))))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 x #s(literal 2 binary64) y)
(-.f64 (/.f64 (.f64 y y) (-.f64 (-.f64 y x) x)) (/.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (-.f64 y x) x)))
(-.f64 (/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (-.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 (.f64 (.f64 y y) y) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y))) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 8 binary64)) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (*.f64 y y))))
(+.f64 (/.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 x (-.f64 x (+.f64 y x))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 x (-.f64 x (+.f64 y x))))))
(+.f64 (+.f64 x x) y)
(+.f64 (+.f64 y x) x)
(+.f64 y (+.f64 x 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 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 y x))))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (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 (.f64 (.f64 x x) x) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (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 x 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) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx y y)
#s(approx (+ (+ x y) x) (fma.f64 (/.f64 (+.f64 x x) y) y 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) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))

eval4.0ms (0.4%)

Memory: 10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 381 to 170 computations (55.4% saved)

prune2.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB 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)
▶	55.7%	(+.f64 #s(approx (+ x y) y) x)
▶	54.5%	(+.f64 #s(approx (+ x y) x) x)
▶	47.3%	#s(approx (+ (+ x y) x) y)

Compiler

Compiled 19 to 19 computations (0% saved)

series3.0ms (0.3%)

Memory

5.8MiB live, 5.8MiB 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
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	@	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)

rewrite175.0ms (17.5%)

Memory

-82.6MiB live, 62.6MiB allocated; 96ms 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) (.f64 #s(approx (+ x y) x) #s(approx (+ x y) x))) (-.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 (fma.f64 (.f64 #s(approx (+ x y) x) #s(approx (+ x y) x)) #s(approx (+ x y) x) (.f64 (.f64 x x) x))) (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 (fma.f64 (.f64 #s(approx (+ x y) x) #s(approx (+ x y) x)) #s(approx (+ x y) x) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 #s(approx (+ x y) x) #s(approx (+ x y) x)) (*.f64 #s(approx (+ x y) x) x))))
(/.f64 (fma.f64 (.f64 #s(approx (+ x y) x) #s(approx (+ x y) x)) #s(approx (+ x y) x) (.f64 (.f64 x x) x)) (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) #s(approx (+ x y) x)) (-.f64 #s(approx (+ x y) x) x)) (/.f64 (.f64 x x) (-.f64 #s(approx (+ x y) x) x)))
(+.f64 (/.f64 (.f64 (.f64 #s(approx (+ x y) x) #s(approx (+ x y) x)) #s(approx (+ x y) x)) (fma.f64 #s(approx (+ x y) x) #s(approx (+ x y) x) (.f64 x (-.f64 x #s(approx (+ x y) x))))) (/.f64 (.f64 (.f64 x x) x) (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) (.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))) (-.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 (fma.f64 (.f64 #s(approx (+ x y) y) #s(approx (+ x y) y)) #s(approx (+ x y) y) (.f64 (.f64 x x) x))) (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 (fma.f64 (.f64 #s(approx (+ x y) y) #s(approx (+ x y) y)) #s(approx (+ x y) y) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 #s(approx (+ x y) y) #s(approx (+ x y) y)) (*.f64 #s(approx (+ x y) y) x))))
(/.f64 (fma.f64 (.f64 #s(approx (+ x y) y) #s(approx (+ x y) y)) #s(approx (+ x y) y) (.f64 (.f64 x x) x)) (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) #s(approx (+ x y) y)) (-.f64 #s(approx (+ x y) y) x)) (/.f64 (.f64 x x) (-.f64 #s(approx (+ x y) y) x)))
(+.f64 (/.f64 (.f64 (.f64 #s(approx (+ x y) y) #s(approx (+ x y) y)) #s(approx (+ x y) y)) (fma.f64 #s(approx (+ x y) y) #s(approx (+ x y) y) (.f64 x (-.f64 x #s(approx (+ x y) y))))) (/.f64 (.f64 (.f64 x x) x) (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) (.f64 (+.f64 y x) (+.f64 y x))) (-.f64 x (+.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 y y) y) (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 (fma.f64 #s(literal 2 binary64) x y) (-.f64 (+.f64 y x) x))) (neg.f64 (-.f64 (+.f64 y x) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 x (-.f64 x (+.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (-.f64 y x) x)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 y y))) (neg.f64 (-.f64 (+.f64 x x) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y (-.f64 (-.f64 y x) x)))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (-.f64 (+.f64 y x) x)) (-.f64 (+.f64 y x) x))
(/.f64 (-.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (-.f64 y x) x))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 y y)) (-.f64 (+.f64 x x) y))
(/.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (+.f64 y x) x))))
(/.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 x x) x)) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (*.f64 y y)))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y (-.f64 (-.f64 y x) x))))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 x #s(literal 2 binary64) y)
(-.f64 (/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (-.f64 (+.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 y x) x)))
(-.f64 (/.f64 (.f64 y y) (-.f64 (-.f64 y x) x)) (/.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (-.f64 y x) x)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (+.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (+.f64 x x) y)))
(-.f64 y (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 y (*.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 x (-.f64 x (+.f64 y x))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 x (-.f64 x (+.f64 y x))))))
(+.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y))) (/.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (*.f64 y y))))
(+.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y (-.f64 (-.f64 y x) x)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 y (-.f64 (-.f64 y x) x)))))
(+.f64 (+.f64 x x) y)
(+.f64 (+.f64 y x) x)
(+.f64 y (+.f64 x 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 x 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 x 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) (-.f64 (/.f64 (neg.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) (fma.f64 (/.f64 (+.f64 x x) y) y y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (+ (+ x y) x) (fma.f64 (/.f64 (+.f64 x 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) (-.f64 (/.f64 (neg.f64 x) y) #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))))

eval5.0ms (0.5%)

Memory: 14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 653 to 207 computations (68.3% saved)

prune3.0ms (0.3%)

Memory

8.2MiB live, 8.2MiB 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)
✓	55.7%	(+.f64 #s(approx (+ x y) y) x)
✓	54.5%	(+.f64 #s(approx (+ x y) x) x)
✓	47.3%	#s(approx (+ (+ x y) x) y)

Compiler

Compiled 34 to 32 computations (5.9% saved)

regimes6.0ms (0.7%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms 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)
(fma.f64 x #s(literal 2 binary64) y)
(+.f64 (+.f64 x y) x)

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

Calls

3 calls:

2.0ms	(+.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 6 to 8 computations (-33.3% saved)

regimes8.0ms (0.8%)

Memory

-30.0MiB live, 15.3MiB 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	y
2.0ms	x
2.0ms	(+.f64 (+.f64 x y) x)

Results

Accuracy	Segments	Branch
67.7%	5	`(+.f64 (+.f64 x y) x)`
79.9%	3	`x`
81.5%	3	`y`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes2.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB 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
80.4%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB 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	y
1.0ms	(+.f64 (+.f64 x y) x)
1.0ms	x

Results

Accuracy	Segments	Branch
47.3%	1	`(+.f64 (+.f64 x y) x)`
47.3%	1	`x`
47.3%	1	`y`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

bsearch18.0ms (1.9%)

Memory

-9.7MiB live, 36.8MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.2505388001430819e+43	6.6831392491335395e+56
6.0ms	-1.3596285843208308e+59	-7.919716125340027e+56

Samples

8.0ms

272×

valid

Compiler

Compiled 178 to 213 computations (-19.7% saved)

Precisions

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

ival-add!: 2.0ms (120.1% of total)

adjust: 0.0ms (0% of total)

bsearch10.0ms (1%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.7460957994415433e+60	1.9360061496931027e+75
0.0ms	-1.3596285843208308e+59	-7.919716125340027e+56

Samples

4.0ms

160×

valid

Compiler

Compiled 178 to 213 computations (-19.7% saved)

Precisions

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

ival-add!: 1.0ms (117.1% of total)

adjust: 0.0ms (0% of total)

derivations30.0ms (3%)

Memory

0.4MiB live, 50.3MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 25 to 21 computations (16% saved)

preprocess28.0ms (2.9%)

Memory: -15.2MiB live, 76.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 29 to 25 computations (13.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample539.0ms (54.1%)

preprocess81.0ms (8.1%)

series3.0ms (0.3%)

rewrite73.0ms (7.4%)

eval4.0ms (0.4%)

prune2.0ms (0.2%)

series3.0ms (0.3%)

rewrite175.0ms (17.5%)

eval5.0ms (0.5%)

prune3.0ms (0.3%)

regimes6.0ms (0.7%)

regimes8.0ms (0.8%)

regimes2.0ms (0.2%)

regimes3.0ms (0.3%)

bsearch18.0ms (1.9%)

bsearch10.0ms (1%)

derivations30.0ms (3%)

preprocess28.0ms (2.9%)

end0.0ms (0%)

Profiling