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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample740.0ms (45.6%)

Memory

-3.7MiB live, 879.0MiB allocated; 320ms collecting garbage

Samples

514.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-div!: 87.0ms (63.7% of total)

ival-sub!: 30.0ms (22% of total)

ival-add!: 19.0ms (13.9% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

preprocess53.0ms (3.3%)

Memory

-17.0MiB live, 29.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	75	42
2	239	42
3	763	42
4	3943	30

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))

Symmetry

(sort x y)

Compiler

Compiled 12 to 12 computations (0% saved)

series4.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

6 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite311.0ms (19.2%)

Memory

49.7MiB live, 229.7MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	334
0	90	301
1	506	277
2	4303	277
0	8627	269
1	29908	269

Stop Event

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

Counts

30 → 120

Calls

Call 1

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

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

eval35.0ms (2.2%)

Memory: -23.7MiB live, 21.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 416 to 222 computations (46.6% saved)

prune3.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	3	107

Accuracy

100.0%

Counts

107 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
▶	50.8%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	49.7%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 23 to 23 computations (0% saved)

series5.0ms (0.3%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

9 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite225.0ms (13.9%)

Memory

-1.5MiB live, 180.8MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	281
0	83	215
1	451	191
2	3738	191
0	8316	191
1	29164	191

Stop Event

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

Counts

27 → 232

Calls

Call 1

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

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

eval61.0ms (3.7%)

Memory: 8.7MiB live, 67.2MiB allocated; 56ms collecting garbage
Compiler: Compiled 859 to 433 computations (49.6% saved)

prune8.0ms (0.5%)

Memory

-32.8MiB live, 14.6MiB allocated; 9ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	211	3	214

Accuracy

100.0%

Counts

214 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
✓	50.8%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	49.7%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 43 to 40 computations (7% saved)

regimes6.0ms (0.3%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.3%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.9%	2	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`
84.8%	2	`x`
84.3%	2	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.4%)

Memory

-37.6MiB live, 8.8MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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))

Calls

3 calls:

4.0ms	y
1.0ms	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
49.7%	1	`y`
49.7%	1	`x`
49.7%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.0671215326787926e-268	7.230485200123354e-279

Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations131.0ms (8.1%)

Memory

7.3MiB live, 144.0MiB allocated; 26ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 23 to 20 computations (13% saved)

preprocess29.0ms (1.8%)

Memory: 36.3MiB live, 77.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 99 to 90 computations (9.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample740.0ms (45.6%)

preprocess53.0ms (3.3%)

series4.0ms (0.2%)

rewrite311.0ms (19.2%)

eval35.0ms (2.2%)

prune3.0ms (0.2%)

series5.0ms (0.3%)

rewrite225.0ms (13.9%)

eval61.0ms (3.7%)

prune8.0ms (0.5%)

regimes6.0ms (0.3%)

regimes4.0ms (0.3%)

regimes6.0ms (0.4%)

bsearch0.0ms (0%)

derivations131.0ms (8.1%)

preprocess29.0ms (1.8%)

end0.0ms (0%)

Profiling