Metrics for Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

start0.0ms (0%)

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

analyze9.0ms (0.9%)

Memory

16.3MiB live, 16.3MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample630.0ms (58.9%)

Memory

2.7MiB live, 714.9MiB allocated; 150ms collecting garbage

Samples

351.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-div!: 92.0ms (68.4% of total)

ival-add!: 41.0ms (30.5% of total)

adjust: 2.0ms (1.5% of total)

Bogosity

preprocess52.0ms (4.8%)

Memory

2.3MiB live, 46.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	54	46
2	179	46
3	898	42
4	5420	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

series5.0ms (0.5%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

5 → 13

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite66.0ms (6.2%)

Memory

-21.2MiB live, 31.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	164
0	53	154
0	241	153

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

18 → 27

Calls

Call 1

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

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

eval2.0ms (0.2%)

Memory: 3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 294 to 89 computations (69.7% saved)

prune1.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	3	24

Accuracy

100.0%

Counts

24 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	54.2%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
▶	47.5%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Status

Accuracy

Program

▶

100.0%

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

▶

54.2%

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

▶

47.5%

#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series8.0ms (0.7%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

9 → 9

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* (/ x y) 1/2) (/ x y) x y (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2))
1.0ms	x	@	-inf	((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* (/ x y) 1/2) (/ x y) x y (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2))
1.0ms	x	@	inf	((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* (/ x y) 1/2) (/ x y) x y (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2))
1.0ms	y	@	inf	((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* (/ x y) 1/2) (/ x y) x y (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2))
1.0ms	x	@	0	((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* (/ x y) 1/2) (/ x y) x y (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2))

rewrite238.0ms (22.2%)

Memory

-57.2MiB live, 198.3MiB allocated; 135ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	159
0	43	145
1	189	145
2	1352	142
0	8578	135

Stop Event

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

Counts

18 → 174

Calls

Call 1

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

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

eval15.0ms (1.4%)

Memory: 33.5MiB live, 33.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 317 to 654 computations (87.7% saved)

prune7.0ms (0.7%)

Memory

-34.7MiB live, 11.2MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	170	3	173

Accuracy

100.0%

Counts

173 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	54.2%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
✓	47.5%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Status

Accuracy

Program

✓

100.0%

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

✓

54.2%

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

✓

47.5%

#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 79 to 40 computations (49.4% saved)

regimes6.0ms (0.5%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Calls

3 calls:

2.0ms	y
2.0ms	x
1.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.4%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))

Outputs

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

#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.4%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`
77.2%	3	`x`
81.7%	3	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.3%)

Memory

7.1MiB live, 7.1MiB 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) (+ y y)) #s(literal 1/2 binary64))

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.5%	1	`x`
47.5%	1	`y`
47.5%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5009735032349795	1644227284544.0613
0.0ms	-125483617.27513672	0.49972905076118274

Compiler

Compiled 10 to 10 computations (0% saved)

derivations3.0ms (0.3%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 78 to 21 computations (73.1% saved)

preprocess20.0ms (1.9%)

Memory: 0.7MiB live, 47.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 85 to 26 computations (69.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze9.0ms (0.9%)

sample630.0ms (58.9%)

preprocess52.0ms (4.8%)

series5.0ms (0.5%)

rewrite66.0ms (6.2%)

eval2.0ms (0.2%)

prune1.0ms (0.1%)

series8.0ms (0.7%)

rewrite238.0ms (22.2%)

eval15.0ms (1.4%)

prune7.0ms (0.7%)

regimes6.0ms (0.5%)

regimes4.0ms (0.4%)

regimes3.0ms (0.3%)

bsearch0.0ms (0%)

derivations3.0ms (0.3%)

preprocess20.0ms (1.9%)

end0.0ms (0%)

Profiling