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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample537.0ms (27.4%)

Memory

11.7MiB live, 515.5MiB allocated; 97ms collecting garbage

Samples

230.0ms	7 612×	0	valid
23.0ms	312×	1	valid
18.0ms	148×	3	valid
16.0ms	184×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-div!: 57.0ms (41.3% of total)

ival-add!: 33.0ms (23.9% of total)

ival-sub!: 29.0ms (21% of total)

adjust: 19.0ms (13.8% of total)

Bogosity

preprocess75.0ms (3.9%)

Memory

-19.2MiB live, 33.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	76	42
2	244	42
3	746	42
4	3986	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 12 to 12 computations (0% saved)

series6.0ms (0.3%)

Memory

9.1MiB live, 9.1MiB 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
2.0ms	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	x	@	0	((+ 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)

rewrite230.0ms (11.8%)

Memory

14.7MiB live, 151.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	332
0	91	303
1	511	299
2	4423	299
0	8497	279
1	28674	279

Stop Event

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

Counts

30 → 85

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

eval6.0ms (0.3%)

Memory: 10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 287 to 177 computations (38.3% saved)

prune4.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Accuracy

100.0%

Counts

72 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
▶	60.1%	(+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 2 binary64)))
▶	47.9%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
▶	52.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 74 to 74 computations (0% saved)

series7.0ms (0.4%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

16 → 33

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (* x 3/2) (* -1/2 y)) x 3/2 (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (/ (- x y) 2) (- x y) (neg y) 2 (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	inf	((+ (* x 3/2) (* -1/2 y)) x 3/2 (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (/ (- x y) 2) (- x y) (neg y) 2 (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	-inf	((+ (* x 3/2) (* -1/2 y)) x 3/2 (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (/ (- x y) 2) (- x y) (neg y) 2 (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	-inf	((+ (* x 3/2) (* -1/2 y)) x 3/2 (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (/ (- x y) 2) (- x y) (neg y) 2 (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	0	((+ (* x 3/2) (* -1/2 y)) x 3/2 (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (/ (- x y) 2) (- x y) (neg y) 2 (+ (* (- y x) -1/2) x) (- y x))

rewrite232.0ms (11.9%)

Memory

-27.7MiB live, 170.7MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	491
0	129	447
1	670	437
2	5416	437
0	8214	426
1	27976	426

Stop Event

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

Counts

49 → 137

Calls

Call 1

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

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

eval8.0ms (0.4%)

Memory: 17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 364 to 198 computations (45.6% saved)

prune64.0ms (3.2%)

Memory

-42.9MiB live, 16.5MiB allocated; 11ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	86	5	91

Accuracy

100.0%

Counts

91 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	60.1%	(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
✓	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
✓	47.9%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	52.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 35 to 35 computations (0% saved)

series2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

5 → 18

Calls

Call 1

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

Outputs
#s(approx (+ (* (- y x) -1/2) x) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* (- y x) -1/2) 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 (+ (* (- y x) -1/2) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* (- y x) -1/2) 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 (+ (* (- y x) -1/2) 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 (+ (* (- y x) -1/2) x) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ (* (- y x) -1/2) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (+ (* (- y x) -1/2) 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 (+ (* (- y x) -1/2) 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	((+ (* (- y x) -1/2) x) (- y x) y -1/2 x)
0.0ms	x	@	-inf	((+ (* (- y x) -1/2) x) (- y x) y -1/2 x)
0.0ms	x	@	inf	((+ (* (- y x) -1/2) x) (- y x) y -1/2 x)
0.0ms	y	@	inf	((+ (* (- y x) -1/2) x) (- y x) y -1/2 x)
0.0ms	x	@	0	((+ (* (- y x) -1/2) x) (- y x) y -1/2 x)

rewrite295.0ms (15.1%)

Memory

23.0MiB live, 211.9MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	246
0	70	221
1	426	219
2	3622	219
0	8490	204
1	35529	204

Stop Event

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

Counts

23 → 31

Calls

Call 1

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

eval2.0ms (0.1%)

Memory: 3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 97 to 55 computations (43.3% saved)

prune3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	18	5	23

Accuracy

100.0%

Counts

23 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	60.1%	(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
✓	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
✓	47.9%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	52.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 66 to 61 computations (7.6% saved)

regimes22.0ms (1.1%)

Memory

-28.4MiB live, 15.3MiB allocated; 9ms 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))
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
(+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) 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)))

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

Calls

3 calls:

16.0ms	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 (0.3%)

Memory

12.4MiB live, 12.4MiB 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))
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
(+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)

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

Calls

3 calls:

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

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 8 to 10 computations (-25% saved)

regimes6.0ms (0.3%)

Memory

10.4MiB live, 10.4MiB 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))
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
(+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 2 binary64)))

Outputs
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) 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
64.3%	3	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
75.7%	3	`x`
81.9%	3	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB 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 -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:

1.0ms

Results

Accuracy	Segments	Branch
79.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- 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	y
1.0ms	x

Results

Accuracy	Segments	Branch
52.2%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
52.2%	1	`x`
52.2%	1	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch98.0ms (5%)

Memory

1.3MiB live, 44.7MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.838320018847104e-56	3.0985331434639415e-49
87.0ms	-8.320166682201512e-80	-1.2937046624963888e-85

Samples

84.0ms	261×	0	valid
1.0ms	13×	2	valid
1.0ms	14×	1	valid

Compiler

Compiled 280 to 317 computations (-13.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-add!: 77.0ms (95.4% of total)

ival-div!: 2.0ms (2.5% of total)

adjust: 1.0ms (1.2% of total)

ival-sub!: 1.0ms (1.2% of total)

bsearch17.0ms (0.8%)

Memory

-15.1MiB live, 28.4MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2765.362990813451	858017372.318526
1.0ms	-8.320166682201512e-80	-1.2937046624963888e-85

Samples

4.0ms	122×	0	valid
1.0ms	15×	1	valid
1.0ms	7×	2	valid

Compiler

Compiled 334 to 371 computations (-11.1% saved)

Precisions

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

adjust: 1.0ms (42% of total)

ival-sub!: 1.0ms (42% of total)

ival-div!: 1.0ms (42% of total)

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

derivations276.0ms (14.1%)

Memory

-17.0MiB live, 173.6MiB allocated; 34ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 34 to 28 computations (17.6% saved)

preprocess57.0ms (2.9%)

Memory: -1.1MiB live, 58.8MiB allocated; 27ms collecting garbage
Compiler: Compiled 40 to 34 computations (15% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample537.0ms (27.4%)

preprocess75.0ms (3.9%)

series6.0ms (0.3%)

rewrite230.0ms (11.8%)

eval6.0ms (0.3%)

prune4.0ms (0.2%)

series7.0ms (0.4%)

rewrite232.0ms (11.9%)

eval8.0ms (0.4%)

prune64.0ms (3.2%)

series2.0ms (0.1%)

rewrite295.0ms (15.1%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

regimes22.0ms (1.1%)

regimes7.0ms (0.3%)

regimes6.0ms (0.3%)

regimes2.0ms (0.1%)

regimes3.0ms (0.2%)

bsearch98.0ms (5%)

bsearch17.0ms (0.8%)

derivations276.0ms (14.1%)

preprocess57.0ms (2.9%)

end0.0ms (0%)

Profiling