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

0.5MiB live, 0.5MiB 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)

sample619.0ms (37.5%)

Memory

-24.0MiB live, 1 081.7MiB allocated; 279ms collecting garbage

Samples

300.0ms	7 620×	0	valid
20.0ms	151×	3	valid
19.0ms	207×	2	valid
16.0ms	278×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-div!: 98.0ms (56.2% of total)

ival-sub!: 31.0ms (17.8% of total)

ival-add!: 25.0ms (14.3% of total)

adjust: 20.0ms (11.5% of total)

Bogosity

preprocess115.0ms (7%)

Memory

-20.2MiB live, 26.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	48	48
2	127	48
3	308	44
4	1145	42
5	7146	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 12 computations (0% saved)

series4.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

6 → 26

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)))
#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))
#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)

rewrite119.0ms (7.2%)

Memory

-0.2MiB live, 154.2MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	346
0	93	324
1	450	318
0	3858	312

Stop Event

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

Counts

32 → 67

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)))
#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))
#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 (neg.f64 (neg.f64 (-.f64 x y))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) y)) #s(literal 4 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 (neg.f64 (-.f64 x y)) #s(literal 2 binary64)))
(neg.f64 (/.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) y))
#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) 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: 14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 486 to 240 computations (50.6% saved)

prune4.0ms (0.3%)

Memory

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

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	7	58

Accuracy

100.0%

Counts

58 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(/.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))
▶	55.8%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
▶	99.9%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
	88.8%	#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)))
▶	88.8%	#s(approx (+ x (/ (- x y) 2)) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
▶	55.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
▶	46.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 154 to 150 computations (2.6% saved)

series17.0ms (1%)

Memory

-17.3MiB live, 28.7MiB allocated; 6ms collecting garbage

Counts

19 → 52

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x (+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ x (/ (- x y) 2)) (* (- (* (/ x y) 3/2) 1/2) y) (- (* (/ x y) 3/2) 1/2) (* (/ x y) 3/2) (/ x y) 1/2)
3.0ms	y	@	0	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x (+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ x (/ (- x y) 2)) (* (- (* (/ x y) 3/2) 1/2) y) (- (* (/ x y) 3/2) 1/2) (* (/ x y) 3/2) (/ x y) 1/2)
2.0ms	x	@	-inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x (+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ x (/ (- x y) 2)) (* (- (* (/ x y) 3/2) 1/2) y) (- (* (/ x y) 3/2) 1/2) (* (/ x y) 3/2) (/ x y) 1/2)
2.0ms	x	@	0	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x (+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ x (/ (- x y) 2)) (* (- (* (/ x y) 3/2) 1/2) y) (- (* (/ x y) 3/2) 1/2) (* (/ x y) 3/2) (/ x y) 1/2)
2.0ms	y	@	-inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x (+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ x (/ (- x y) 2)) (* (- (* (/ x y) 3/2) 1/2) y) (- (* (/ x y) 3/2) 1/2) (* (/ x y) 3/2) (/ x y) 1/2)

rewrite214.0ms (12.9%)

Memory

34.6MiB live, 197.7MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	836
0	161	790
1	649	777
0	5123	744

Stop Event

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

Counts

71 → 248

Calls

Call 1

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

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

eval96.0ms (5.8%)

Memory: -25.7MiB live, 78.1MiB allocated; 53ms collecting garbage
Compiler: Compiled 2 166 to 908 computations (58.1% saved)

prune5.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	228	2	230
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	232	5	237

Accuracy

100.0%

Counts

237 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
✓	99.9%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
▶	55.8%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
✓	55.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	46.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 50 to 50 computations (0% saved)

series5.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

10 → 36

Calls

Call 1

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

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 (+ (* -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 (+ (* x 3/2) (* -1/2 y)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* x 3/2) (* -1/2 y)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#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 (+ (* -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 (+ (* x 3/2) (* -1/2 y)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* x 3/2) (* -1/2 y)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#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 (+ (* x 3/2) (* -1/2 y)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#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 (+ (* -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 y #s(hole binary64 y))
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#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 (+ (* x 3/2) (* -1/2 y)) #s(hole binary64 (* y (- (* 3/2 (/ x y)) 1/2))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 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)))))
#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	y	@	inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x (+ x (/ (- x y) 2)) (+ (* x 3/2) (* -1/2 y)) 3/2 (* -1/2 y))
1.0ms	y	@	-inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x (+ x (/ (- x y) 2)) (+ (* x 3/2) (* -1/2 y)) 3/2 (* -1/2 y))
1.0ms	x	@	inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x (+ x (/ (- x y) 2)) (+ (* x 3/2) (* -1/2 y)) 3/2 (* -1/2 y))
1.0ms	x	@	-inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x (+ x (/ (- x y) 2)) (+ (* x 3/2) (* -1/2 y)) 3/2 (* -1/2 y))
1.0ms	y	@	0	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x (+ x (/ (- x y) 2)) (+ (* x 3/2) (* -1/2 y)) 3/2 (* -1/2 y))

rewrite194.0ms (11.7%)

Memory

-13.1MiB live, 165.0MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	545
0	108	515
1	494	491
0	4030	485

Stop Event

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

Counts

46 → 112

Calls

Call 1

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

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

eval8.0ms (0.5%)

Memory: 19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 909 to 344 computations (62.2% saved)

prune5.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	88	5	93

Accuracy

100.0%

Counts

93 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
✓	99.9%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
✓	55.8%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
✓	55.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	46.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 116 to 95 computations (18.1% saved)

regimes13.0ms (0.8%)

Memory

-27.0MiB live, 20.2MiB allocated; 4ms collecting garbage

Counts

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

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

Calls

3 calls:

5.0ms	x
3.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	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 8 to 10 computations (-25% saved)

regimes7.0ms (0.4%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) 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
99.9%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs

#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) #s(approx (- y x) y) x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.4%	4	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
83.0%	3	`x`
76.4%	3	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes1.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Counts

2 → 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))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
81.6%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
46.7%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
46.7%	1	`y`
46.7%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch21.0ms (1.3%)

Memory

-21.8MiB live, 24.4MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.480848478886765e+43	3.8520291394297066e+51
10.0ms	-6.808289095600056e-87	-1.5162892402113965e-90

Samples

9.0ms	265×	0	valid
0.0ms	3×	2	valid
0.0ms	4×	1	valid

Compiler

Compiled 350 to 385 computations (-10% saved)

Precisions

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

ival-add!: 2.0ms (42% of total)

ival-sub!: 1.0ms (21% of total)

ival-div!: 1.0ms (21% of total)

adjust: 0.0ms (0% of total)

bsearch15.0ms (0.9%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.4119271012768692e-74	7.190983311808476e-74
7.0ms	-2.0325170524116152e-107	-9.934399807533767e-110

Samples

6.0ms	196×	0	valid
1.0ms	10×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 244 to 271 computations (-11.1% saved)

Precisions

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

ival-sub!: 1.0ms (40.8% of total)

ival-div!: 1.0ms (40.8% of total)

adjust: 0.0ms (0% of total)

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

derivations135.0ms (8.2%)

Memory

-20.4MiB live, 39.7MiB allocated; 82ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 40 to 33 computations (17.5% saved)

preprocess40.0ms (2.4%)

Memory: 8.0MiB live, 58.9MiB allocated; 14ms collecting garbage
Compiler: Compiled 46 to 39 computations (15.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample619.0ms (37.5%)

preprocess115.0ms (7%)

series4.0ms (0.2%)

rewrite119.0ms (7.2%)

eval5.0ms (0.3%)

prune4.0ms (0.3%)

series17.0ms (1%)

rewrite214.0ms (12.9%)

eval96.0ms (5.8%)

prune5.0ms (0.3%)

series5.0ms (0.3%)

rewrite194.0ms (11.7%)

eval8.0ms (0.5%)

prune5.0ms (0.3%)

regimes13.0ms (0.8%)

regimes7.0ms (0.4%)

regimes6.0ms (0.3%)

regimes1.0ms (0.1%)

regimes3.0ms (0.2%)

bsearch21.0ms (1.3%)

bsearch15.0ms (0.9%)

derivations135.0ms (8.2%)

preprocess40.0ms (2.4%)

end0.0ms (0%)

Profiling