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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample876.0ms (58.7%)

Memory

-23.8MiB live, 661.6MiB allocated; 297ms collecting garbage

Samples

648.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-div!: 178.0ms (72.6% of total)

ival-sub!: 38.0ms (15.5% of total)

ival-add!: 27.0ms (11% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess119.0ms (8%)

Memory

-10.2MiB live, 32.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	82	42
2	331	42
3	1565	30
4	6605	30

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)))

Symmetry

(sort x y)

Compiler

Compiled 12 to 12 computations (0% saved)

series8.0ms (0.5%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	312

Stop Event

1×	iter-limit

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

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)
0.0ms	y	@	inf	((+ x (/ (- y x) 2)) x (/ (- y x) 2) (- y x) y 2)

rewrite47.0ms (3.2%)

Memory

17.4MiB live, 62.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	62	18
0	650	17

Stop Event

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

Counts

6 → 88

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

eval66.0ms (4.4%)

Memory: -32.1MiB live, 31.8MiB allocated; 57ms collecting garbage
Compiler: Compiled 790 to 369 computations (53.3% saved)

prune6.0ms (0.4%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	5	108

Accuracy

100.0%

Counts

108 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
▶	57.8%	(+.f64 x (/.f64 #s(approx (- y x) y) #s(literal 2 binary64)))
▶	100.0%	#s(approx (+ x (/ (- y x) 2)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))
▶	50.1%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	51.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 80 to 80 computations (0% saved)

series21.0ms (1.4%)

Memory

-19.8MiB live, 27.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	342

Stop Event

1×	iter-limit

Counts

15 → 26

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ x (/ (- y x) 2)) (+ (* 1/2 x) (* 1/2 y)) 1/2 x (* 1/2 y) y (+ x (/ (- y x) 2)) (* 1/2 x) (+ x (/ (- y x) 2)) (+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x) 2 (+ (* (- y x) 1/2) x) (- y x))
2.0ms	x	@	inf	((+ x (/ (- y x) 2)) (+ (* 1/2 x) (* 1/2 y)) 1/2 x (* 1/2 y) y (+ x (/ (- y x) 2)) (* 1/2 x) (+ x (/ (- y x) 2)) (+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x) 2 (+ (* (- y x) 1/2) x) (- y x))
2.0ms	y	@	-inf	((+ x (/ (- y x) 2)) (+ (* 1/2 x) (* 1/2 y)) 1/2 x (* 1/2 y) y (+ x (/ (- y x) 2)) (* 1/2 x) (+ x (/ (- y x) 2)) (+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x) 2 (+ (* (- y x) 1/2) x) (- y x))
1.0ms	y	@	inf	((+ x (/ (- y x) 2)) (+ (* 1/2 x) (* 1/2 y)) 1/2 x (* 1/2 y) y (+ x (/ (- y x) 2)) (* 1/2 x) (+ x (/ (- y x) 2)) (+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x) 2 (+ (* (- y x) 1/2) x) (- y x))
1.0ms	x	@	0	((+ x (/ (- y x) 2)) (+ (* 1/2 x) (* 1/2 y)) 1/2 x (* 1/2 y) y (+ x (/ (- y x) 2)) (* 1/2 x) (+ x (/ (- y x) 2)) (+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x) 2 (+ (* (- y x) 1/2) x) (- y x))

rewrite110.0ms (7.4%)

Memory

27.3MiB live, 74.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	82
0	26	77
1	147	77
0	1483	76

Stop Event

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

Counts

15 → 185

Calls

Call 1

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

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

eval74.0ms (4.9%)

Memory: -4.1MiB live, 43.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 598 to 584 computations (63.5% saved)

prune8.0ms (0.5%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	205	4	209

Accuracy

100.0%

Counts

209 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.8%	(fma.f64 #s(approx (- y x) y) #s(literal 1/2 binary64) x)
▶	100.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
✓	50.1%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	51.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 34 to 34 computations (0% saved)

series11.0ms (0.7%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	318

Stop Event

1×	iter-limit

Counts

8 → 25

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite57.0ms (3.8%)

Memory

-12.9MiB live, 35.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
0	16	37
1	93	37
0	993	36

Stop Event

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

Counts

8 → 86

Calls

Call 1

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

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

eval16.0ms (1.1%)

Memory: -15.8MiB live, 27.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 900 to 376 computations (58.2% saved)

prune4.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	103	4	107

Accuracy

100.0%

Counts

107 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.8%	(fma.f64 #s(approx (- y x) y) #s(literal 1/2 binary64) x)
✓	100.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
✓	50.1%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	51.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 70 to 59 computations (15.7% saved)

regimes9.0ms (0.6%)

Memory

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

Counts

8 → 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))
(fma.f64 #s(approx (- y x) y) #s(literal 1/2 binary64) x)
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(+.f64 x (/.f64 #s(approx (- y x) y) #s(literal 2 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
#s(approx (+ x (/ (- y x) 2)) (fma.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

3 calls:

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

regimes7.0ms (0.5%)

Memory

-33.7MiB live, 13.1MiB allocated; 3ms collecting garbage

Counts

3 → 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))
(fma.f64 #s(approx (- y x) y) #s(literal 1/2 binary64) x)

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:

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

Results

Accuracy	Segments	Branch
97.5%	2	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`
85.4%	2	`x`
84.0%	2	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0.2%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y 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:

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

Results

Accuracy	Segments	Branch
51.0%	1	`y`
51.0%	1	`x`
51.0%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.11943624000394e-285	8.011016257355801e-279

Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations7.0ms (0.5%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 27 to 21 computations (22.2% saved)

preprocess43.0ms (2.9%)

Memory: 4.6MiB live, 49.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 113 to 101 computations (10.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample876.0ms (58.7%)

preprocess119.0ms (8%)

series8.0ms (0.5%)

rewrite47.0ms (3.2%)

eval66.0ms (4.4%)

prune6.0ms (0.4%)

series21.0ms (1.4%)

rewrite110.0ms (7.4%)

eval74.0ms (4.9%)

prune8.0ms (0.5%)

series11.0ms (0.7%)

rewrite57.0ms (3.8%)

eval16.0ms (1.1%)

prune4.0ms (0.2%)

regimes9.0ms (0.6%)

regimes7.0ms (0.5%)

regimes3.0ms (0.2%)

bsearch0.0ms (0%)

derivations7.0ms (0.5%)

preprocess43.0ms (2.9%)

end0.0ms (0%)

Profiling