Metrics for Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample753.0ms (39.3%)

Memory

1.7MiB live, 836.3MiB allocated; 267ms collecting garbage

Samples

312.0ms	7 585×	0	valid
49.0ms	163×	3	valid
35.0ms	225×	2	valid
21.0ms	283×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-div!: 66.0ms (41% of total)

adjust: 37.0ms (23% of total)

ival-sub!: 34.0ms (21.1% of total)

ival-add!: 24.0ms (14.9% of total)

Bogosity

preprocess111.0ms (5.8%)

Memory

-10.4MiB live, 36.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	48	48
2	123	48
3	303	44
4	1163	42
5	7289	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series4.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

6 → 24

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- x y) 2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- x y) 2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y x))))))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))

Calls

6 calls:

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

rewrite127.0ms (6.7%)

Memory

-11.0MiB live, 227.2MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	332
0	91	310
1	448	304
0	3823	298

Stop Event

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

Counts

30 → 65

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
x
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
y
#s(literal 2 binary64)
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- x y) 2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- x y) 2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y x))))))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))

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

eval5.0ms (0.3%)

Memory: 21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 981 to 235 computations (76% saved)

prune6.0ms (0.3%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	44	11	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	11	56

Accuracy

100.0%

Counts

56 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.4%	(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 4 binary64)) (/.f64 (-.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (.f64 x x)))
	54.0%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
▶	99.8%	(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 2 binary64)) x))
▶	99.9%	(-.f64 (+.f64 x (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal 2 binary64)))
▶	58.7%	(+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 2 binary64)))
	99.8%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
▶	87.3%	#s(approx (+ x (/ (- x y) 2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
	86.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (neg.f64 y)))
	86.7%	#s(approx (+ x (/ (- x y) 2)) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
	50.6%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
▶	50.3%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 344 to 228 computations (33.7% saved)

series19.0ms (1%)

Memory

1.6MiB live, 50.5MiB allocated; 10ms collecting garbage

Counts

21 → 42

Calls

Call 1

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

Outputs
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (- (* 3/2 x) (* 1/2 y))))
#s(approx (+ x (/ x 2)) #s(hole binary64 (* 3/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (/ (- x y) 2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ (* (/ y x) -1/2) 3/2) #s(hole binary64 (* -1/2 (/ y x))))
#s(approx (+ (* (/ y x) -1/2) 3/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 3/2 x)) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (- (/ y 2) x) #s(hole binary64 (* 1/2 y)))
#s(approx (- (/ y 2) x) #s(hole binary64 (+ (* -1 x) (* 1/2 y))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y x))))))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ (* (/ y x) -1/2) 3/2) #s(hole binary64 3/2))
#s(approx (+ (* (/ y x) -1/2) 3/2) #s(hole binary64 (+ 3/2 (* -1/2 (/ y x)))))
#s(approx (- (/ y 2) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ y 2) x) #s(hole binary64 (* x (- (* 1/2 (/ y x)) 1))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (- (/ y 2) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ y x)))))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- (/ y 2) x) #s(hole binary64 (- (* 1/2 y) x)))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (* (+ (* (/ y x) -1/2) 3/2) x) #s(hole binary64 (* y (- (* 3/2 (/ x y)) 1/2))))
#s(approx (+ (* (/ y x) -1/2) 3/2) #s(hole binary64 (* y (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (- (/ y 2) x) #s(hole binary64 (* y (+ 1/2 (* -1 (/ x y))))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (* (+ (* (/ y x) -1/2) 3/2) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))))
#s(approx (+ (* (/ y x) -1/2) 3/2) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))))
#s(approx (- (/ y 2) x) #s(hole binary64 (* -1 (* y (- (/ x y) 1/2)))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	((- (+ x (/ x 2)) (/ y 2)) (+ x (/ x 2)) x (/ x 2) 2 (/ y 2) y (+ x (/ (- x y) 2)) (* -1/2 y) -1/2 (+ x (/ (- x y) 2)) (/ (- x y) 2) (- x y) (neg y) (+ x (/ (- x y) 2)) (* (+ (* (/ y x) -1/2) 3/2) x) (+ (* (/ y x) -1/2) 3/2) (/ y x) 3/2 (- (/ x 2) (- (/ y 2) x)) (- (/ y 2) x))
2.0ms	y	@	0	((- (+ x (/ x 2)) (/ y 2)) (+ x (/ x 2)) x (/ x 2) 2 (/ y 2) y (+ x (/ (- x y) 2)) (* -1/2 y) -1/2 (+ x (/ (- x y) 2)) (/ (- x y) 2) (- x y) (neg y) (+ x (/ (- x y) 2)) (* (+ (* (/ y x) -1/2) 3/2) x) (+ (* (/ y x) -1/2) 3/2) (/ y x) 3/2 (- (/ x 2) (- (/ y 2) x)) (- (/ y 2) x))
2.0ms	x	@	-inf	((- (+ x (/ x 2)) (/ y 2)) (+ x (/ x 2)) x (/ x 2) 2 (/ y 2) y (+ x (/ (- x y) 2)) (* -1/2 y) -1/2 (+ x (/ (- x y) 2)) (/ (- x y) 2) (- x y) (neg y) (+ x (/ (- x y) 2)) (* (+ (* (/ y x) -1/2) 3/2) x) (+ (* (/ y x) -1/2) 3/2) (/ y x) 3/2 (- (/ x 2) (- (/ y 2) x)) (- (/ y 2) x))
2.0ms	y	@	-inf	((- (+ x (/ x 2)) (/ y 2)) (+ x (/ x 2)) x (/ x 2) 2 (/ y 2) y (+ x (/ (- x y) 2)) (* -1/2 y) -1/2 (+ x (/ (- x y) 2)) (/ (- x y) 2) (- x y) (neg y) (+ x (/ (- x y) 2)) (* (+ (* (/ y x) -1/2) 3/2) x) (+ (* (/ y x) -1/2) 3/2) (/ y x) 3/2 (- (/ x 2) (- (/ y 2) x)) (- (/ y 2) x))
2.0ms	y	@	inf	((- (+ x (/ x 2)) (/ y 2)) (+ x (/ x 2)) x (/ x 2) 2 (/ y 2) y (+ x (/ (- x y) 2)) (* -1/2 y) -1/2 (+ x (/ (- x y) 2)) (/ (- x y) 2) (- x y) (neg y) (+ x (/ (- x y) 2)) (* (+ (* (/ y x) -1/2) 3/2) x) (+ (* (/ y x) -1/2) 3/2) (/ y x) 3/2 (- (/ x 2) (- (/ y 2) x)) (- (/ y 2) x))

rewrite182.0ms (9.5%)

Memory

20.0MiB live, 333.8MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	694
0	177	636
1	775	622
0	6633	594

Stop Event

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

Counts

63 → 346

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) x))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y x) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (pow.f64 (.f64 #s(literal -3/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -3/2 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 x (.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64)) (.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))) (.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x)) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 x (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x)) y)) (.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) #s(literal -2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 x x)) (neg.f64 y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x)) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 x x)) y)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) y x)) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x)))) (.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) y x) (.f64 (.f64 y y) #s(literal 1/4 binary64)))) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x)))) (.f64 #s(literal -2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) y x) (.f64 (.f64 y y) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) y x)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(/.f64 (-.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) y x) (.f64 (.f64 y y) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x)))) (.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) y x) (.f64 (.f64 y y) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (.f64 #s(literal 1/2 binary64) y) x)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (*.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (fma.f64 #s(literal 1/2 binary64) x (-.f64 (.f64 #s(literal 1/2 binary64) y) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 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 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 (.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 3/2 binary64) x))))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 #s(literal 9/4 binary64) (.f64 x x))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 4 binary64))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x))))
(/.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (.f64 #s(literal 1/2 binary64) y) x)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3/2 binary64)) x))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))))
(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) (-.f64 y x)) (.f64 (.f64 x x) x)) (+.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) x))))
(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 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)))
(/.f64 (-.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 3/2 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (fma.f64 #s(literal 1/2 binary64) x (-.f64 (.f64 #s(literal 1/2 binary64) y) x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 3/2 binary64) 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 3/2 binary64) x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 (.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (.f64 #s(literal 1/2 binary64) y) x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 (*.f64 #s(literal 1/2 binary64) y) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (fma.f64 #s(literal 1/2 binary64) x (-.f64 (.f64 #s(literal 1/2 binary64) y) x))))) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) x) (fma.f64 #s(literal 1/2 binary64) x (-.f64 (.f64 #s(literal 1/2 binary64) y) x))))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) y x) (.f64 (*.f64 y y) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (neg.f64 x) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) y) (neg.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) y) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) y x))
(/.f64 (fma.f64 (.f64 x x) (neg.f64 x) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) y) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (neg.f64 x) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) y) (neg.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) y x) (.f64 (*.f64 y y) #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal -2 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal 1/2 binary64) y (neg.f64 x))
(fma.f64 y #s(literal 1/2 binary64) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) y x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) y x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) y x) (.f64 (.f64 y y) #s(literal 1/4 binary64)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) y x) (.f64 (*.f64 y y) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) y))))
(-.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(-.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(+.f64 (/.f64 (.f64 (.f64 x x) (neg.f64 x)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) y) (neg.f64 x)) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) y) (neg.f64 x)) (*.f64 x x))))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (neg.f64 x))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
#s(approx (+ x (/ x 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx x x)
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx (+ (* (/ y x) -1/2) 3/2) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ y x) -1/2) 3/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) x))
#s(approx (/ y x) (/.f64 y x))
#s(approx (- (/ y 2) x) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (- (/ y 2) x) (-.f64 (*.f64 #s(literal 1/2 binary64) y) x))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
#s(approx (/ (- x y) 2) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (+ (* (/ y x) -1/2) 3/2) #s(literal 3/2 binary64))
#s(approx (+ (* (/ y x) -1/2) 3/2) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)))
#s(approx (- (/ y 2) x) (neg.f64 x))
#s(approx (- (/ y 2) x) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) x))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -3/2 binary64)) (neg.f64 x)))
#s(approx (/ (- x y) 2) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (- (/ y 2) x) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
#s(approx y y)
#s(approx (- x y) (-.f64 x y))
#s(approx (- (/ y 2) x) (-.f64 (*.f64 #s(literal 1/2 binary64) y) x))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y))
#s(approx (/ (- x y) 2) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (* (+ (* (/ y x) -1/2) 3/2) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y))
#s(approx (+ (* (/ y x) -1/2) 3/2) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) y))
#s(approx (- (/ y 2) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x y)) y))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (neg.f64 y)))
#s(approx (/ (- x y) 2) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))
#s(approx (* (+ (* (/ y x) -1/2) 3/2) x) (*.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (neg.f64 y)))
#s(approx (+ (* (/ y x) -1/2) 3/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/2 binary64) y)) (neg.f64 y)))
#s(approx (- (/ y 2) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x y)) y))

eval80.0ms (4.2%)

Memory: -80.0MiB live, 105.0MiB allocated; 122ms collecting garbage
Compiler: Compiled 5 622 to 908 computations (83.8% saved)

prune5.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	276	3	279
Fresh	6	0	6
Picked	3	2	5
Done	0	0	0
Total	285	5	290

Accuracy

100.0%

Counts

290 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
▶	99.8%	(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
✓	58.7%	(+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 2 binary64)))
▶	50.6%	#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	50.3%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 46 to 38 computations (17.4% saved)

series5.0ms (0.3%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Counts

10 → 21

Calls

Call 1

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

Outputs
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (- (* 3/2 x) (* 1/2 y))))
#s(approx (* 3/2 x) #s(hole binary64 (* 3/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ (* x 3/2) (* -1/2 y)) #s(hole binary64 (* y (- (* 3/2 (/ x y)) 1/2))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
#s(approx (+ (* x 3/2) (* -1/2 y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (+ x (/ x 2)) (/ y 2)) (* 3/2 x) 3/2 x (+ (* -1/2 (- y x)) x) -1/2 (- y x) y (+ (* x 3/2) (* -1/2 y)) (* -1/2 y))
1.0ms	x	@	inf	((- (+ x (/ x 2)) (/ y 2)) (* 3/2 x) 3/2 x (+ (* -1/2 (- y x)) x) -1/2 (- y x) y (+ (* x 3/2) (* -1/2 y)) (* -1/2 y))
1.0ms	y	@	-inf	((- (+ x (/ x 2)) (/ y 2)) (* 3/2 x) 3/2 x (+ (* -1/2 (- y x)) x) -1/2 (- y x) y (+ (* x 3/2) (* -1/2 y)) (* -1/2 y))
1.0ms	y	@	inf	((- (+ x (/ x 2)) (/ y 2)) (* 3/2 x) 3/2 x (+ (* -1/2 (- y x)) x) -1/2 (- y x) y (+ (* x 3/2) (* -1/2 y)) (* -1/2 y))
1.0ms	x	@	0	((- (+ x (/ x 2)) (/ y 2)) (* 3/2 x) 3/2 x (+ (* -1/2 (- y x)) x) -1/2 (- y x) y (+ (* x 3/2) (* -1/2 y)) (* -1/2 y))

rewrite129.0ms (6.7%)

Memory

-17.6MiB live, 210.3MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	328
0	96	306
1	485	282
0	4224	279

Stop Event

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

Counts

31 → 179

Calls

Call 1

Inputs
#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
#s(literal -1/2 binary64)
(-.f64 y x)
y
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (- (* 3/2 x) (* 1/2 y))))
#s(approx (* 3/2 x) #s(hole binary64 (* 3/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ (* x 3/2) (* -1/2 y)) #s(hole binary64 (* y (- (* 3/2 (/ x y)) 1/2))))
#s(approx (- (+ x (/ x 2)) (/ y 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
#s(approx (+ (* x 3/2) (* -1/2 y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))))

Outputs
#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 x #s(literal 3/2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 x (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x))))
(/.f64 (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 x (.f64 #s(literal 1/2 binary64) x))) (-.f64 x (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x)))
(neg.f64 (*.f64 #s(literal -3/2 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x x)
(fma.f64 x #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 x (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) x))
#s(literal 3/2 binary64)
x
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y x) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (pow.f64 (.f64 #s(literal -3/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -3/2 binary64) x)))))
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(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))) (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 3/2 binary64) x))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 3/2 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 3/2 binary64) x))))) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 3/2 binary64) x))))))
(-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (-.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(-.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(-.f64 x (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 x (*.f64 (neg.f64 (-.f64 y x)) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (.f64 (-.f64 y x) #s(literal -1/2 binary64))) (fma.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) x) (.f64 x x))))
(+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 3/2 binary64) x))))) (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 3/2 binary64) x))))))
(+.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (.f64 (-.f64 y x) #s(literal -1/2 binary64))) (fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 (-.f64 y x) #s(literal -1/2 binary64)))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 (-.f64 y x) #s(literal -1/2 binary64)))))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) y x))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) y))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
#s(approx (* 3/2 x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx x x)
#s(approx (+ (* x 3/2) (* -1/2 y)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
#s(approx (- y x) y)
#s(approx (- y x) (-.f64 y x))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 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 (/ x 2)) (/ y 2)) (.f64 (-.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (neg.f64 x)))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 x)))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
#s(approx (- y x) (-.f64 y x))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (+ (* x 3/2) (* -1/2 y)) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (+ (* x 3/2) (* -1/2 y)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))

eval22.0ms (1.2%)

Memory: -0.2MiB live, 51.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 2 115 to 343 computations (83.8% saved)

prune3.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	0	0
Picked	0	3	3
Done	1	1	2
Total	109	5	114

Accuracy

100.0%

Counts

114 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
✓	99.8%	(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
▶	58.7%	(fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x)
✓	50.6%	#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	50.3%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 44 to 36 computations (18.2% saved)

series2.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

5 → 18

Calls

Call 1

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

Outputs
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))

Calls

6 calls:

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

rewrite196.0ms (10.3%)

Memory

-22.1MiB live, 378.1MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	246
0	70	228
1	374	222
2	3319	222
0	10263	209

Stop Event

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

Counts

23 → 41

Calls

Call 1

Inputs
(fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x)
#s(literal -1/2 binary64)
#s(approx (- y x) y)
y
x
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))

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

eval3.0ms (0.2%)

Memory: 10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 790 to 114 computations (85.6% saved)

prune6.0ms (0.3%)

Memory

-27.9MiB live, 17.8MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	31	5	36

Accuracy

100.0%

Counts

36 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
✓	99.8%	(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
✓	58.7%	(fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x)
✓	50.6%	#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	50.3%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 256 to 99 computations (61.3% saved)

regimes16.0ms (0.8%)

Memory

15.1MiB live, 61.5MiB allocated; 3ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
5.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
5.0ms	y

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.5%)

Memory

-17.9MiB live, 28.9MiB allocated; 1ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.3%)

Memory

28.4MiB live, 28.4MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.3%	4	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
78.5%	3	`x`
81.9%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

#s(approx (- (+ x (/ x 2)) (/ y 2)) (*.f64 #s(literal 3/2 binary64) x))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.3%)

Memory

-37.5MiB live, 16.7MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
1.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
50.3%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
50.3%	1	`x`
50.3%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch19.0ms (1%)

Memory

18.9MiB live, 65.7MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	5.510088589939509e-5	0.00013264467278326469
12.0ms	-1.5867804295831535e-55	-4.44197703827641e-61

Samples

6.0ms	199×	0	valid
2.0ms	10×	2	valid
1.0ms	14×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 276 to 249 computations (9.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub!: 2.0ms (41.5% of total)

ival-div!: 1.0ms (20.8% of total)

adjust: 1.0ms (20.8% of total)

ival-add!: 1.0ms (20.8% of total)

bsearch11.0ms (0.6%)

Memory

-12.7MiB live, 34.5MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	5.510088589939509e-5	0.00013264467278326469
5.0ms	-1.5867804295831535e-55	-4.44197703827641e-61

Samples

3.0ms	101×	0	valid
0.0ms	6×	1	valid
0.0ms	4×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 318 to 291 computations (8.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div!: 1.0ms (61.7% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-sub!: 0.0ms (0% of total)

derivations139.0ms (7.3%)

Memory

-8.6MiB live, 276.8MiB allocated; 23ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 107 to 31 computations (71% saved)

preprocess48.0ms (2.5%)

Memory: 11.0MiB live, 145.1MiB allocated; 24ms collecting garbage
Compiler: Compiled 114 to 37 computations (67.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample753.0ms (39.3%)

preprocess111.0ms (5.8%)

series4.0ms (0.2%)

rewrite127.0ms (6.7%)

eval5.0ms (0.3%)

prune6.0ms (0.3%)

series19.0ms (1%)

rewrite182.0ms (9.5%)

eval80.0ms (4.2%)

prune5.0ms (0.2%)

series5.0ms (0.3%)

rewrite129.0ms (6.7%)

eval22.0ms (1.2%)

prune3.0ms (0.2%)

series2.0ms (0.1%)

rewrite196.0ms (10.3%)

eval3.0ms (0.2%)

prune6.0ms (0.3%)

regimes16.0ms (0.8%)

regimes9.0ms (0.5%)

regimes6.0ms (0.3%)

regimes2.0ms (0.1%)

regimes5.0ms (0.3%)

bsearch19.0ms (1%)

bsearch11.0ms (0.6%)

derivations139.0ms (7.3%)

preprocess48.0ms (2.5%)

end0.0ms (0%)

Profiling