Metrics for (x + y) * 0.5

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	26.4%	73.6%	0.0%	0.0%	0.0%	0
100.0%	26.4%	0.0%	73.6%	0.0%	0.0%	0.0%	1

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample468.0ms (58.4%)

Memory

58.7MiB live, 208.7MiB allocated; 29ms collecting garbage

Samples

262.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult!: 59.0ms (65.5% of total)

ival-add!: 30.0ms (33.3% of total)

adjust: 1.0ms (1.1% of total)

Bogosity

preprocess19.0ms (2.3%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	35	30
2	76	30
3	172	30
4	246	30
5	246	30

Stop Event

1×

saturated

Alt Table

Click to see full alt table

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

Symmetry

(sort x y)

Compiler

Compiled 10 to 10 computations (0.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/2

Outputs
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series9.0ms (1.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	161

Stop Event

1×	iter-limit

Counts

5 → 14

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	y	inf
1.0ms	x	inf
0.0ms	y	-inf
0.0ms	x	0

rewrite113.0ms (14.1%)

Memory

-55.3MiB live, 32.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	28	11
2	69	11
3	219	11
4	448	11
5	875	11
0	4081	11

Stop Event

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

Counts

5 → 212

Calls

Call 1

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

Outputs
x
y
(.f64 #s(literal 1/4 binary64) (.f64 #s(literal 4 binary64) (+.f64 y x)))
(.f64 #s(literal 4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 y x)))
(.f64 #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 y x)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (+.f64 y x)))
(.f64 #s(literal -1/2 binary64) (.f64 #s(literal -2 binary64) (+.f64 y x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) y)
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 y x)))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 y x) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 y x) (E.f64)) (E.f64))
(/.f64 (*.f64 (+.f64 y x) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (+.f64 y x) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 y x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 y x)) #s(literal -4 binary64))
(/.f64 (*.f64 (E.f64) (+.f64 y x)) (E.f64))
(/.f64 (*.f64 #s(literal 8 binary64) (+.f64 y x)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 y x)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 y x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 y y) (.f64 (neg.f64 x) (neg.f64 x))) (+.f64 y (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (+.f64 x (neg.f64 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 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x (neg.f64 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 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1/2 binary64))
(/.f64 (+.f64 y x) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 y x)))
(neg.f64 (*.f64 (+.f64 y x) #s(literal -1 binary64)))
(neg.f64 (-.f64 (neg.f64 x) y))
(fma.f64 (/.f64 (+.f64 y x) #s(literal -16 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal 16 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal -8 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal -4 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 #s(literal 4 binary64) (+.f64 y x)) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 #s(literal 1/4 binary64) (.f64 #s(literal 4 binary64) (+.f64 y x)) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 #s(literal 4 binary64) (+.f64 y x)) (.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (+.f64 y x)) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 y x)) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 y x)) (.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 y x)) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 y x)) (.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (+.f64 y x)) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (+.f64 y x)) (.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal -2 binary64) (+.f64 y x)) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal -2 binary64) (+.f64 y x)) (.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 x) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 y x)) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (-.f64 (neg.f64 x) y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 #s(literal 0 binary64) (+.f64 y x) (+.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 y x)) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 y x)) (.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 (+.f64 y x) #s(literal 0 binary64) (+.f64 y x))
(fma.f64 (+.f64 y x) #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (+.f64 y x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(-.f64 y (neg.f64 x))
(-.f64 x (neg.f64 y))
(+.f64 (*.f64 (+.f64 y x) #s(literal 0 binary64)) (+.f64 y x))
(+.f64 (*.f64 #s(literal 0 binary64) (+.f64 y x)) (+.f64 y x))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(+.f64 (+.f64 y x) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(+.f64 (+.f64 y x) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(+.f64 y x)
(+.f64 x y)
#s(literal 1/2 binary64)
(*.f64 (/.f64 (+.f64 y x) #s(literal -16 binary64)) #s(literal -8 binary64))
(*.f64 (/.f64 (+.f64 y x) #s(literal 16 binary64)) #s(literal 8 binary64))
(*.f64 (/.f64 (+.f64 y x) #s(literal -8 binary64)) #s(literal -4 binary64))
(*.f64 (/.f64 (+.f64 y x) #s(literal -4 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (+.f64 y x) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (+.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 #s(literal 4 binary64) (+.f64 y x)))
(.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (+.f64 y x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))) (.f64 #s(literal 1/2 binary64) y))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 x) y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))) (.f64 #s(literal 1/2 binary64) y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 y x)))
(*.f64 (-.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(/.f64 (*.f64 (+.f64 y x) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (+.f64 y x) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 y x)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 y x)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 4 binary64))
(/.f64 (/.f64 (+.f64 y x) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(/.f64 (/.f64 (+.f64 y x) #s(literal 8 binary64)) #s(literal 1/4 binary64))
(/.f64 (/.f64 (+.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) y) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (neg.f64 y)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 y))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -1/2 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -1/2 binary64) y) (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (-.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 y x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64))
(/.f64 (+.f64 y x) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)))
(fma.f64 (/.f64 x #s(literal -16 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 x #s(literal 16 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 x #s(literal -8 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 x #s(literal -4 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 x #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (+.f64 y x) #s(literal -16 binary64)) #s(literal -8 binary64) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal -16 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal 16 binary64)) #s(literal 8 binary64) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal 16 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal -8 binary64)) #s(literal -4 binary64) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal -8 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal -4 binary64)) #s(literal -2 binary64) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal -4 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (+.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (/.f64 y #s(literal -16 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 y #s(literal 16 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 y #s(literal -8 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 y #s(literal -4 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 y #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/8 binary64) (.f64 #s(literal 4 binary64) y) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/8 binary64) (.f64 #s(literal 4 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/8 binary64) (.f64 #s(literal 4 binary64) (+.f64 y x)) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/8 binary64) (.f64 #s(literal 4 binary64) (+.f64 y x)) (.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (+.f64 y x)) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (+.f64 y x)) (.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/4 binary64) (+.f64 y x) (*.f64 #s(literal 1/4 binary64) (+.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 x) y) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) y) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 y x)) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 y x)) (.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 (neg.f64 x) y) #s(literal -1/2 binary64) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (-.f64 (neg.f64 x) y) #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 0 binary64) (+.f64 y x) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 (neg.f64 y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (+.f64 y x) #s(literal 1/4 binary64) (*.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(fma.f64 (+.f64 y x) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/2 binary64) x))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(+.f64 (.f64 (+.f64 y x) #s(literal 1/4 binary64)) (.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(+.f64 (.f64 (+.f64 y x) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 y x)) (.f64 #s(literal 1/4 binary64) (+.f64 y x)))
(+.f64 (.f64 #s(literal 0 binary64) (+.f64 y x)) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 (+.f64 y x) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal 0 binary64) (+.f64 y x)))

eval18.0ms (2.2%)

Memory: 16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 410 to 506 computations (79.0% saved)

prune7.0ms (0.8%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	220	2	222
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	220	3	223

Accuracy

100.0%

Counts

223 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
▶	48.0%	(*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64))
▶	52.6%	#s(approx (* (+ x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 21 to 19 computations (9.5% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/2

Outputs
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series6.0ms (0.7%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	159

Stop Event

1×	iter-limit

Counts

7 → 14

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
0.0ms	x	0
0.0ms	y	-inf
0.0ms	y	inf

rewrite96.0ms (12.0%)

Memory

30.1MiB live, 30.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	11	27
1	34	27
2	73	27
3	212	27
4	441	27
5	877	27
0	4122	27

Stop Event

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

Counts

7 → 174

Calls

Call 1

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

Outputs
x
y
#s(literal 1/2 binary64)
(*.f64 (/.f64 x #s(literal -16 binary64)) #s(literal -8 binary64))
(*.f64 (/.f64 x #s(literal 16 binary64)) #s(literal 8 binary64))
(*.f64 (/.f64 x #s(literal -8 binary64)) #s(literal -4 binary64))
(*.f64 (/.f64 x #s(literal -4 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 x #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -4 binary64))
(/.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64))
(/.f64 (/.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(/.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(/.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 x #s(literal -16 binary64)) #s(literal -8 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (/.f64 x #s(literal -16 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 x #s(literal 16 binary64)) #s(literal 8 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (/.f64 x #s(literal 16 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 x #s(literal -8 binary64)) #s(literal -4 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (/.f64 x #s(literal -8 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 x #s(literal -4 binary64)) #s(literal -2 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (/.f64 x #s(literal -4 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 x #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (/.f64 x #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/4 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))
(fma.f64 x #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) x))
(+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x #s(literal 1/4 binary64)))
(+.f64 (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal 1/4 binary64) x))
(+.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 0 binary64) x))
#s(approx (* (+ x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) #s(approx (+ x y) y))
(*.f64 #s(approx (+ x y) y) #s(literal 1 binary64))
#s(approx (+ x y) y)
(/.f64 (*.f64 #s(approx (+ x y) y) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(approx (+ x y) y) (E.f64)) (E.f64))
(/.f64 (*.f64 #s(approx (+ x y) y) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(approx (+ x y) y) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(approx (+ x y) y) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (+ x y) y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) #s(approx (+ x y) y)) #s(literal -4 binary64))
(/.f64 (*.f64 (E.f64) #s(approx (+ x y) y)) (E.f64))
(/.f64 (*.f64 #s(literal 8 binary64) #s(approx (+ x y) y)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (+ x y) y)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ x y) y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (+ x y) y)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (+ x y) y)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(approx (+ x y) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(approx (+ x y) y) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) #s(approx (+ x y) y)))
(neg.f64 (*.f64 #s(approx (+ x y) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal -16 binary64)) #s(literal -8 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal 16 binary64)) #s(literal 8 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal -8 binary64)) #s(literal -4 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal -4 binary64)) #s(literal -2 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 #s(approx (+ x y) y)) #s(literal -1/2 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 #s(approx (+ x y) y)) (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 0 binary64) #s(approx (+ x y) y) #s(approx (+ x y) y))
(fma.f64 #s(literal 1 binary64) (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (+ x y) y) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (+ x y) y) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ x y) y) #s(literal 0 binary64) #s(approx (+ x y) y))
(fma.f64 #s(approx (+ x y) y) #s(literal 1 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 #s(approx (+ x y) y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(approx (+ x y) y) (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)) #s(approx (+ x y) y))
(+.f64 (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)) #s(approx (+ x y) y))
(+.f64 (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(+.f64 #s(approx (+ x y) y) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(+.f64 #s(approx (+ x y) y) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(*.f64 (/.f64 #s(approx (+ x y) y) #s(literal -16 binary64)) #s(literal -8 binary64))
(*.f64 (/.f64 #s(approx (+ x y) y) #s(literal 16 binary64)) #s(literal 8 binary64))
(*.f64 (/.f64 #s(approx (+ x y) y) #s(literal -8 binary64)) #s(literal -4 binary64))
(*.f64 (/.f64 #s(approx (+ x y) y) #s(literal -4 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(approx (+ x y) y) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(approx (+ x y) y) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (neg.f64 #s(approx (+ x y) y)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 #s(approx (+ x y) y)))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x y) y))
(/.f64 (*.f64 #s(approx (+ x y) y) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(approx (+ x y) y) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(approx (+ x y) y) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (+ x y) y)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ x y) y)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (+ x y) y)) #s(literal 4 binary64))
(/.f64 (/.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(/.f64 (/.f64 #s(approx (+ x y) y) #s(literal 8 binary64)) #s(literal 1/4 binary64))
(/.f64 (/.f64 #s(approx (+ x y) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (+ x y) y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (+ x y) y) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 #s(approx (+ x y) y)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ x y) y)))
(/.f64 (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(approx (+ x y) y) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ x y) y)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal -16 binary64)) #s(literal -8 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal -16 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal 16 binary64)) #s(literal 8 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal 16 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal -8 binary64)) #s(literal -4 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal -8 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal -4 binary64)) #s(literal -2 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal -4 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(approx (+ x y) y) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 (neg.f64 #s(approx (+ x y) y)) #s(literal -1/2 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(approx (+ x y) y)) #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 #s(literal 1/4 binary64) #s(approx (+ x y) y) (*.f64 #s(literal 1/4 binary64) #s(approx (+ x y) y)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 #s(approx (+ x y) y)) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 #s(approx (+ x y) y)) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 #s(literal 0 binary64) #s(approx (+ x y) y) (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) (.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) (.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 #s(approx (+ x y) y) #s(literal 1/4 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 1/4 binary64)))
(fma.f64 #s(approx (+ x y) y) #s(literal 0 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(fma.f64 #s(literal 1/2 binary64) #s(approx (+ x y) y) (*.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(approx (+ x y) y) (*.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))
(+.f64 (.f64 #s(approx (+ x y) y) #s(literal 1/4 binary64)) (.f64 #s(approx (+ x y) y) #s(literal 1/4 binary64)))
(+.f64 (.f64 #s(approx (+ x y) y) #s(literal 0 binary64)) (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/4 binary64) #s(approx (+ x y) y)) (.f64 #s(literal 1/4 binary64) #s(approx (+ x y) y)))
(+.f64 (.f64 #s(literal 0 binary64) #s(approx (+ x y) y)) (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) (.f64 #s(approx (+ x y) y) #s(literal 0 binary64)))
(+.f64 (.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) (.f64 #s(literal 0 binary64) #s(approx (+ x y) y)))

eval21.0ms (2.6%)

Memory: -65.5MiB live, 13.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 301 to 402 computations (82.5% saved)

prune4.0ms (0.5%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	2	0	2
Done	-2	3	1
Total	182	3	185

Accuracy

100.0%

Counts

185 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
✓	48.0%	(*.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64))
✓	52.6%	#s(approx (* (+ x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 21 to 19 computations (9.5% saved)

regimes19.0ms (2.4%)

Memory

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

Counts

1 → 1

2 → 2

3 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Calls

12 calls:

2.0ms	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
2.0ms	x
2.0ms	(+.f64 x y)
2.0ms	y
2.0ms	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`y`
52.6%	1	`(+.f64 x y)`
52.6%	1	`(*.f64 (+.f64 x y) #s(literal 1/2 binary64))`
95.8%	2	`(+.f64 x y)`
95.8%	2	`(*.f64 (+.f64 x y) #s(literal 1/2 binary64))`
80.8%	2	`x`
84.6%	2	`y`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(*.f64 (+.f64 x y) #s(literal 1/2 binary64))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 51 to 48 computations (5.9% saved)

bsearch1.0ms (0.1%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.696535693136567e-294	1.0538799081023527e-294

Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations2.0ms (0.2%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 38 to 15 computations (60.5% saved)

preprocess17.0ms (2.2%)

Memory: 18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Symmetry: (sort x y)
Compiler: Compiled 141 to 80 computations (43.3% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample468.0ms (58.4%)

preprocess19.0ms (2.3%)

sample0.0ms (0.0%)

series9.0ms (1.1%)

rewrite113.0ms (14.1%)

eval18.0ms (2.2%)

prune7.0ms (0.8%)

sample0.0ms (0.0%)

series6.0ms (0.7%)

rewrite96.0ms (12.0%)

eval21.0ms (2.6%)

prune4.0ms (0.5%)

regimes19.0ms (2.4%)

bsearch1.0ms (0.1%)

derivations2.0ms (0.2%)

preprocess17.0ms (2.2%)

end0.0ms (0.0%)

Profiling