Metrics for System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 9 to 8 computations (11.1% saved)

sample711.0ms (42.4%)

Memory

56.7MiB live, 602.8MiB allocated; 667ms collecting garbage

Samples

523.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult!: 82.0ms (79.7% of total)

ival-sub!: 19.0ms (18.5% of total)

adjust: 1.0ms (1% of total)

Bogosity

preprocess155.0ms (9.2%)

Memory

4.6MiB live, 49.7MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	58	42
2	189	42
3	432	42
4	889	42
5	2750	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series8.0ms (0.5%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	199

Stop Event

1×	iter-limit

Counts

6 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite193.0ms (11.5%)

Memory

-45.8MiB live, 254.1MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	37	18
2	108	18
3	427	18
4	891	18
5	2742	18
0	8137	18
1	13344	18

Stop Event

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

Counts

6 → 156

Calls

Call 1

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

Outputs
(.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 x x)))
(.f64 (-.f64 y (.f64 x x)) #s(literal -1/2 binary64))
(.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(/.f64 (fma.f64 (neg.f64 y) #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 y #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) y (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 y) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 y) #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 y #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) y (.f64 (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (.f64 (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 y) (.f64 (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 y) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (fma.f64 y #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) y (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 y) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (fma.f64 y #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) y (.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 y) (.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (fma.f64 y #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (neg.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (neg.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x x (*.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))
(/.f64 (fma.f64 x x (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 #s(literal 1 binary64) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (neg.f64 y)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 y)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (neg.f64 y)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 y)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 y #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 y) (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 y #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 y) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 y #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 x) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (neg.f64 x) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 y) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (neg.f64 y) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 y) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (*.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (*.f64 #s(literal -1 binary64) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 #s(literal -1 binary64) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (*.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) y) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) y) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) y) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 y (.f64 x x)) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) y) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (-.f64 y (.f64 x x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) y))) #s(literal -2 binary64))
(/.f64 (.f64 (-.f64 y (.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (.f64 x x) y) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 y (.f64 x x))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) y)) #s(literal 2 binary64))
(/.f64 (-.f64 y (*.f64 x x)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 x x) y) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x x) y)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 x) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) x) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (neg.f64 (fabs.f64 x)) (.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 y #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) y))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y))
#s(literal 1/2 binary64)
(neg.f64 (-.f64 y (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 y))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 y))
(fma.f64 x x (neg.f64 y))
(-.f64 (neg.f64 y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) y)
(+.f64 (neg.f64 y) (*.f64 x x))
(+.f64 (*.f64 x x) (neg.f64 y))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
x
y

eval18.0ms (1.1%)

Memory: 3.6MiB live, 48.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 846 to 397 computations (53.1% saved)

prune3.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	2	166

Accuracy

100.0%

Counts

166 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
▶	55.3%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 15 to 15 computations (0% saved)

series4.0ms (0.3%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	104

Stop Event

1×	iter-limit

Counts

4 → 7

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((* 1/2 (- (* x x) y)) (* -1/2 y) -1/2 y)
1.0ms	y	@	inf	((* 1/2 (- (* x x) y)) (* -1/2 y) -1/2 y)
0.0ms	y	@	0	((* 1/2 (- (* x x) y)) (* -1/2 y) -1/2 y)
0.0ms	x	@	inf	((* 1/2 (- (* x x) y)) (* -1/2 y) -1/2 y)
0.0ms	x	@	-inf	((* 1/2 (- (* x x) y)) (* -1/2 y) -1/2 y)

rewrite296.0ms (17.6%)

Memory

7.7MiB live, 157.0MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	39	16
2	110	16
3	426	16
4	889	16
5	2735	16
0	8131	16
1	13340	16

Stop Event

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

Counts

4 → 18

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 105 to 73 computations (30.5% saved)

prune229.0ms (13.7%)

Memory

-42.8MiB live, 3.4MiB allocated; 3ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	20	2	22

Accuracy

100.0%

Counts

22 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
✓	55.3%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 28 to 28 computations (0% saved)

regimes6.0ms (0.4%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Calls

5 calls:

1.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
1.0ms	y
1.0ms	x
1.0ms	(-.f64 (*.f64 x x) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x x)`
100.0%	1	`(-.f64 (*.f64 x x) y)`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes5.0ms (0.3%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
1.0ms	y
1.0ms	(-.f64 (*.f64 x x) y)
1.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
55.3%	1	`(*.f64 x x)`
55.3%	1	`(-.f64 (*.f64 x x) y)`
55.3%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
55.3%	1	`x`
55.3%	1	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

derivations1.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 13 to 13 computations (0% saved)

preprocess45.0ms (2.7%)

Memory: 5.3MiB live, 51.6MiB allocated; 3ms collecting garbage
Remove: (abs x)
Compiler: Compiled 49 to 49 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample711.0ms (42.4%)

preprocess155.0ms (9.2%)

series8.0ms (0.5%)

rewrite193.0ms (11.5%)

eval18.0ms (1.1%)

prune3.0ms (0.2%)

series4.0ms (0.3%)

rewrite296.0ms (17.6%)

eval2.0ms (0.1%)

prune229.0ms (13.7%)

regimes6.0ms (0.4%)

regimes5.0ms (0.3%)

derivations1.0ms (0.1%)

preprocess45.0ms (2.7%)

end0.0ms (0%)

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