Metrics for Numeric.Interval.Internal:bisect from intervals-0.7.1, A

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
100.0%	99.9%	0.0%	0.1%	0.0%	0.0%	0.0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample603.0ms (1.5%)

Memory

10.6MiB live, 1 092.9MiB allocated; 152ms collecting garbage

Samples

386.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-add!: 50.0ms (32.1% of total)

ival-div!: 46.0ms (29.6% of total)

ival-sub!: 41.0ms (26.4% of total)

adjust: 19.0ms (12.2% of total)

Bogosity

preprocess37.0ms (0.1%)

Memory

16.7MiB live, 62.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	82	42
2	331	42
3	1565	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

series21.0ms (0.1%)

Memory

-12.2MiB live, 37.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	314

Stop Event

1×	iter-limit

Counts

6 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite214.0ms (0.5%)

Memory

-12.5MiB live, 457.1MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	62	18
2	245	18
3	1028	18
0	4075	18

Stop Event

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

Counts

6 → 1 424

Calls

Call 1

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

Outputs
x
y
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x))) (neg.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) y)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))) (-.f64 (neg.f64 x) (neg.f64 (neg.f64 y))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 y) (neg.f64 y))) (+.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (+.f64 (.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (neg.f64 x) (neg.f64 y)))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (.f64 y y) (*.f64 (neg.f64 x) y))))
(/.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))) (+.f64 (.f64 y y) (-.f64 (.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 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y y) (+.f64 (.f64 x x) (*.f64 y x))))
(neg.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)))
(neg.f64 (-.f64 x y))
(-.f64 (neg.f64 x) (neg.f64 y))
(-.f64 y x)
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))
#s(literal 2 binary64)
(.f64 (/.f64 (-.f64 (.f64 y #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(.f64 (/.f64 (-.f64 (.f64 y #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/8 binary64))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal -1/4 binary64))
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (-.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.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 #s(literal -1/2 binary64) (/.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.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 (.f64 y #s(literal 1 binary64)) x) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 y x)) #s(literal 1/4 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 (-.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(*.f64 (-.f64 x y) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 (+.f64 x (.f64 (.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 x) #s(literal -2 binary64)) (.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 x) #s(literal -2 binary64)) (.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 (*.f64 y #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (+.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 (+.f64 x x) (.f64 (.f64 y #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 (neg.f64 y) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 x (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 (+.f64 x x) (*.f64 y #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 (.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 (.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 (.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 y #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (neg.f64 x))) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y))) (-.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) y)))
(/.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 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (neg.f64 x)))) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal -2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (neg.f64 x))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) y)))))
(/.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))) (+.f64 (.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 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (neg.f64 x))) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (+.f64 (.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal -2 binary64))) (.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y #s(literal -2 binary64))))))
(/.f64 (+.f64 x (*.f64 y #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 x) (*.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 y #s(literal -1 binary64)) x) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 y #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 x)) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 (neg.f64 y)) x) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x) #s(literal -2 binary64))
(/.f64 (+.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 y))) #s(literal -2 binary64))
(/.f64 (+.f64 x (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1 binary64)))) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 y #s(literal -1 binary64)))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y)))) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 y))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) y)) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (*.f64 y #s(literal -1 binary64)))) #s(literal 4 binary64))
(/.f64 (+.f64 (+.f64 x x) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 y)))) #s(literal -4 binary64))
(/.f64 (+.f64 (+.f64 x x) (.f64 #s(literal -2 binary64) (.f64 y #s(literal 1 binary64)))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (neg.f64 y))) #s(literal 4 binary64))
(/.f64 (+.f64 x (.f64 #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) y))) #s(literal -2 binary64))
(/.f64 (+.f64 (+.f64 x x) (*.f64 #s(literal -2 binary64) y)) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 (.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 (.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 x))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 (.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) x)) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 4 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1/2 binary64) (-.f64 y x) #s(literal -1/2 binary64) (+.f64 x x))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1/2 binary64) (-.f64 y x) (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1/2 binary64) (-.f64 y x) #s(literal -1 binary64) x)
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1/2 binary64) (-.f64 y x) #s(literal 1/2 binary64) (/.f64 (+.f64 x x) #s(literal -1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1/2 binary64) (-.f64 y x) #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1/2 binary64) (-.f64 y x) (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1/2 binary64) (-.f64 y x) x #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 y x)) (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal -1/2 binary64) (+.f64 x x))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 y x)) (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal -1 binary64) x)
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1/2 binary64) (/.f64 (+.f64 x x) #s(literal -1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 y x)) (.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) x #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64) (+.f64 x x))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64) x)
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64) (/.f64 (+.f64 x x) #s(literal -1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 x y) #s(literal -1/2 binary64) x #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64) #s(literal -1/2 binary64) (+.f64 x x))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64) #s(literal -1 binary64) x)
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64) #s(literal 1/2 binary64) (/.f64 (+.f64 x x) #s(literal -1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64) #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64) x #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (+.f64 x x))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) #s(literal -1 binary64) x)
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 x x) #s(literal -1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) x #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64) (+.f64 x x))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64) x)
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64) (/.f64 (+.f64 x x) #s(literal -1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (-.f64 y x) #s(literal 1/2 binary64) x #s(literal -1 binary64))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) x))
(neg.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 #s(literal 1/2 binary64) y)))
(neg.f64 (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 y x))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64)) (/.f64 y #s(literal -2 binary64)))
(-.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y #s(literal -2 binary64)))
(-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) x) (.f64 #s(literal 1/2 binary64) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 (+.f64 x x) y) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) x) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) (/.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) (.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) (neg.f64 x))
(-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(+.f64 (/.f64 (.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(+.f64 (/.f64 (.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 8 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(+.f64 (/.f64 (.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(+.f64 (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 (+.f64 (+.f64 x x) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 (+.f64 (-.f64 y x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) x) (.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) x) (+.f64 (.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 x (-.f64 y x)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 x (-.f64 x y)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (.f64 #s(literal -1/2 binary64) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))

eval19.3s (47.7%)

Memory

-745.7MiB live, 22 074.2MiB allocated; 11.9s collecting garbage

Samples

12.5s

205 312×

valid

Compiler

Compiled 19 212 to 3 296 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.3s

ival-mult!: 3.2s (75.2% of total)

ival-sub!: 769.0ms (18.1% of total)

adjust: 285.0ms (6.7% of total)

prune21.0ms (0.1%)

Memory

-5.7MiB live, 40.6MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1 439	4	1 443
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 440	4	1 444

Accuracy

100.0%

Counts

1 444 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
▶	61.6%	(+.f64 x #s(approx (/ (- y x) 2) (*.f64 #s(literal 1/2 binary64) y)))
▶	100.0%	#s(approx (+ x (/ (- y x) 2)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))
▶	46.5%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 44 to 35 computations (20.5% saved)

series14.0ms (0.0%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	523

Stop Event

1×	iter-limit

Counts

14 → 37

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite164.0ms (0.4%)

Memory

-44.2MiB live, 219.3MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
0	25	74
1	139	74
2	515	74
3	1954	74
0	4320	74

Stop Event

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

Counts

14 → 919

Calls

Call 1

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

Outputs
x
y
#s(literal 1/2 binary64)
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
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(/.f64 (-.f64 (+.f64 x x) (.f64 #s(literal 2 binary64) (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 y x))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) #s(literal -1 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (+.f64 x x) (.f64 #s(literal 1 binary64) (.f64 (-.f64 y x) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 x x) (.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (-.f64 y x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 x y)))) #s(literal -2 binary64))
(/.f64 (-.f64 (+.f64 x x) (.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 x x) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 x y)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (-.f64 (+.f64 x x) (+.f64 y y)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)) (neg.f64 y)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 x) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 y))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 x #s(literal -4 binary64)) (.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) y)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 x #s(literal -4 binary64)) (.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) (neg.f64 y))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 y x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 x #s(literal -4 binary64)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 y x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (+.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 x x) y) x) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 x x) y) x) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (-.f64 y x)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) y)) #s(literal -2 binary64)) (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) x)) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 x x) #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 2 binary64) (-.f64 y x)) #s(literal 2 binary64)))) #s(literal -8 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 x x) #s(literal -2 binary64)) (.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) (.f64 (-.f64 y x) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 y x)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 y x))))) #s(literal -8 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 x x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 x y)))) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (+.f64 (+.f64 x x) y) x) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 (+.f64 (+.f64 x x) y) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (-.f64 y x))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) y)) #s(literal -2 binary64)) (neg.f64 x)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (+.f64 x x) #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 2 binary64) (-.f64 y x)) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 (.f64 (+.f64 x x) #s(literal -2 binary64)) (.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) (.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) y)) (-.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (+.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x))) (+.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) (.f64 (-.f64 x y) #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (*.f64 (-.f64 x y) #s(literal -1/2 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) y)) (-.f64 x (.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 x (.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x)) (.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) (.f64 (-.f64 x y) #s(literal -1/2 binary64))) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 (-.f64 x y) #s(literal -1/2 binary64)) (neg.f64 x)))))
(/.f64 (+.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 y x))) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 (+.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 y x)))) #s(literal 8 binary64))
(/.f64 (+.f64 (.f64 (+.f64 x x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) (.f64 (-.f64 x y) #s(literal -1/2 binary64))) (.f64 x x)) (-.f64 (*.f64 (-.f64 x y) #s(literal -1/2 binary64)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) (.f64 (-.f64 x y) #s(literal -1/2 binary64))) (-.f64 (.f64 x x) (.f64 (*.f64 (-.f64 x y) #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (-.f64 x y) (+.f64 x x)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 x y) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (+.f64 x x) y) x)))
(/.f64 (-.f64 (+.f64 (+.f64 x x) y) x) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) (.f64 (-.f64 x y) #s(literal -1/2 binary64)))) (-.f64 x (*.f64 (-.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (+.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) (.f64 (-.f64 x y) #s(literal -1/2 binary64))) (.f64 x (*.f64 (-.f64 x y) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 x x) (+.f64 (.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) (.f64 (-.f64 y x) #s(literal -1/2 binary64))) (.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) #s(literal 1 binary64) (-.f64 y x) (neg.f64 x) #s(literal 2 binary64))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) #s(literal 1 binary64) (-.f64 y x) #s(literal -2 binary64) x)
(134-z0z1z2z3z4 #s(literal 1/2 binary64) #s(literal 1 binary64) (-.f64 y x) x #s(literal -2 binary64))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (-.f64 y x) #s(literal 1 binary64) (neg.f64 x) #s(literal 2 binary64))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (-.f64 y x) #s(literal 1 binary64) #s(literal -2 binary64) x)
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (-.f64 y x) #s(literal 1 binary64) x #s(literal -2 binary64))
(neg.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x))
(-.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(-.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) x) x))
(-.f64 (*.f64 (-.f64 x y) #s(literal -1/2 binary64)) (neg.f64 x))
(-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(+.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (.f64 #s(literal -1/2 binary64) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) x)))
(+.f64 (*.f64 (-.f64 x y) #s(literal -1/2 binary64)) x)
(+.f64 x (*.f64 (-.f64 x y) #s(literal -1/2 binary64)))

eval3.3s (8.1%)

Memory

144.9MiB live, 3 979.2MiB allocated; 636ms collecting garbage

Samples

2.6s

44 544×

valid

Compiler

Compiled 17 183 to 3 014 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 893.0ms

ival-mult!: 668.0ms (74.8% of total)

ival-sub!: 164.0ms (18.4% of total)

adjust: 60.0ms (6.7% of total)

prune13.0ms (0.0%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	1 060	2	1 062
Fresh	0	0	0
Picked	4	0	4
Done	-1	1	0
Total	1 063	3	1 066

Accuracy

100.0%

Counts

1 066 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
▶	54.6%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	46.5%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Status

Accuracy

Program

▶

100.0%

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

▶

54.6%

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

✓

46.5%

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

Compiler

Compiled 35 to 28 computations (20.0% saved)

series11.0ms (0.0%)

Memory

-37.2MiB live, 9.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	246

Stop Event

1×	iter-limit

Counts

8 → 18

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ x (/ (- y x) 2)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ y x) y)
#s(approx (+ y x) (+.f64 x y))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
#s(approx (+ y x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (+ x (/ (- y x) 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 (+ y x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (+ x (/ (- y x) 2)) (+.f64 x (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (/ (- y x) 2)) (+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))))
#s(approx (+ x (/ (- y x) 2)) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y)))))
#s(approx (+ y x) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (* (+ y x) 1/2) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ x (/ (- y x) 2)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) x)) y)) #s(literal 1/2 binary64)))))
#s(approx (+ y x) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
#s(approx (* (+ y x) 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	y	-inf
1.0ms	y	inf
0.0ms	x	-inf
0.0ms	y	0
0.0ms	x	0

rewrite203.0ms (0.5%)

Memory

8.9MiB live, 292.3MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
0	15	38
1	79	38
2	296	38
3	1385	38
0	4420	38

Stop Event

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

Counts

8 → 1 219

Calls

Call 1

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

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

eval16.4s (40.7%)

Memory

700.9MiB live, 21 436.2MiB allocated; 3.7s collecting garbage

Samples

13.3s

223 232×

valid

Compiler

Compiled 23 639 to 3 411 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.6s

ival-mult!: 3.3s (73.0% of total)

ival-sub!: 896.0ms (19.7% of total)

adjust: 331.0ms (7.3% of total)

prune20.0ms (0.0%)

Memory

-5.4MiB live, 40.3MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	1 229	0	1 229
Fresh	0	0	0
Picked	2	0	2
Done	-2	3	1
Total	1 229	3	1 232

Accuracy

100.0%

Counts

1 232 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
✓	54.6%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	46.5%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Status

Accuracy

Program

✓

100.0%

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

✓

54.6%

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

✓

46.5%

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

Compiler

Compiled 35 to 28 computations (20.0% saved)

regimes21.0ms (0.1%)

Memory

-7.7MiB live, 39.3MiB allocated; 3ms collecting garbage

Counts

1 → 1

2 → 3

7 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Calls

9 calls:

3.0ms	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
3.0ms	x
3.0ms	x
3.0ms	y
2.0ms	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
46.5%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`
46.5%	1	`y`
46.5%	1	`x`
59.7%	3	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`
79.2%	3	`x`
73.6%	3	`y`
100.0%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 102 to 55 computations (46.1% saved)

bsearch28.0ms (0.1%)

Memory

-16.8MiB live, 34.0MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.1583338569326117e-49	4.198537321481951e-46
14.0ms	-31914080610.126995	-1.1234235526094423e-9

Samples

12.0ms

304×

valid

Compiler

Compiled 428 to 391 computations (8.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div!: 2.0ms (48.0% of total)

ival-sub!: 1.0ms (24.0% of total)

ival-add!: 1.0ms (24.0% of total)

adjust: 0.0ms (0.0% of total)

derivations16.0ms (0.0%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 65 to 20 computations (69.2% saved)

preprocess18.0ms (0.0%)

Memory: -12.9MiB live, 33.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 72 to 26 computations (63.9% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample603.0ms (1.5%)

preprocess37.0ms (0.1%)

series21.0ms (0.1%)

rewrite214.0ms (0.5%)

eval19.3s (47.7%)

prune21.0ms (0.1%)

series14.0ms (0.0%)

rewrite164.0ms (0.4%)

eval3.3s (8.1%)

prune13.0ms (0.0%)

series11.0ms (0.0%)

rewrite203.0ms (0.5%)

eval16.4s (40.7%)

prune20.0ms (0.0%)

regimes21.0ms (0.1%)

bsearch28.0ms (0.1%)

derivations16.0ms (0.0%)

preprocess18.0ms (0.0%)

end0.0ms (0.0%)

Profiling