Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, B

start0.0ms (0%)

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

analyze65.0ms (4.2%)

Memory

-13.0MiB live, 41.0MiB allocated; 55ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample861.0ms (56.1%)

Memory

84.0MiB live, 1 164.9MiB allocated; 452ms collecting garbage

Samples

612.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-sub!: 170.0ms (52.5% of total)

ival-mult!: 98.0ms (30.3% of total)

ival-div!: 53.0ms (16.4% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain62.0ms (4%)

Memory

-4.7MiB live, 89.5MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
73	-	1	(-5.493371763035177e-54 -8.107701080617787e-265)	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	41	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	41
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	31	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	31

Confusion

	Predicted +	Predicted -
+	72	1
-	0	183

Precision

1.0

Recall

0.9863013698630136

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	1
-	0	0	183

Precision?

1.0

Recall?

0.9863013698630136

Freqs

test

number	freq
0	184
1	72

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult!: 5.0ms (57.1% of total)

ival-sub!: 2.0ms (22.8% of total)

ival-div!: 2.0ms (22.8% of total)

adjust: 0.0ms (0% of total)

preprocess44.0ms (2.9%)

Memory

-5.8MiB live, 39.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	70	58
2	251	42
3	927	42
4	2529	42
5	7871	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.3%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series10.0ms (0.7%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

7 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite87.0ms (5.6%)

Memory

-6.7MiB live, 84.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	212
0	69	201
1	276	198
0	2060	196

Stop Event

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

Counts

24 → 73

Calls

Call 1

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

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

eval6.0ms (0.4%)

Memory: 12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 080 to 222 computations (79.4% saved)

prune4.0ms (0.3%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Accuracy

100.0%

Counts

69 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.3%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
▶	36.9%	(/.f64 #s(approx (- x y) x) (.f64 (.f64 x #s(literal 2 binary64)) y))
	89.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
▶	50.4%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	50.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
▶	100.0%	#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 162 to 118 computations (27.2% saved)

series10.0ms (0.7%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

20 → 32

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite129.0ms (8.4%)

Memory

-53.0MiB live, 102.6MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	496
0	105	473
1	352	420
0	2299	414

Stop Event

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

Counts

52 → 182

Calls

Call 1

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

Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (-.f64 x y) (.f64 y x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 y x))))
(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) (.f64 y x)))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) y) x)
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) x) y)
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (.f64 (neg.f64 x) y))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 x)) (.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (.f64 #s(literal -1/2 binary64) y)) (*.f64 y (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (neg.f64 y) #s(literal 1/2 binary64))) (.f64 y x))
(neg.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 x y) (.f64 y x))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1 binary64))))
#s(literal 1/2 binary64)
y
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
#s(literal -1/2 binary64)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (/.f64 #s(approx (- x y) x) (*.f64 y x)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(approx (- x y) x) y) #s(literal 2 binary64))
(/.f64 (/.f64 #s(approx (- x y) x) #s(literal 2 binary64)) (*.f64 y x))
(/.f64 (/.f64 #s(approx (- x y) x) #s(literal 2 binary64)) y)
(/.f64 (/.f64 #s(approx (- x y) x) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (/.f64 #s(approx (- x y) x) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 #s(approx (- x y) x))) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 #s(approx (- x y) x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 #s(approx (- x y) x) (*.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 (neg.f64 #s(approx (- x y) x)) (*.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 #s(approx (- x y) x) (*.f64 #s(literal -2 binary64) y)))
#s(approx (- x y) x)
(.f64 (.f64 y x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) y) x)
(.f64 #s(literal 2 binary64) (.f64 y x))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 y #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 y x) (.f64 y x))) (-.f64 (.f64 y x) (.f64 y x)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (.f64 y x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 y x) (.f64 y x)))))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(-.f64 (.f64 y x) (.f64 (neg.f64 x) y))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 #s(literal 1 binary64) (.f64 y x)))
(+.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (.f64 (.f64 y x) #s(literal 1 binary64)))
(+.f64 (.f64 y x) (.f64 y x))
(+.f64 y y)
#s(literal 2 binary64)
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 x y) y) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 x y) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 y (.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 #s(literal 2 binary64) y)))) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 y (.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 #s(literal 2 binary64) y)) (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 y x))
(/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) y)
(/.f64 (/.f64 (-.f64 x y) (*.f64 y x)) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) y)))
(/.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 x y)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) y) x)
(.f64 #s(literal 2 binary64) (.f64 y x))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 y #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 y x) (.f64 y x))) (-.f64 (.f64 y x) (.f64 y x)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (.f64 y x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 y x) (.f64 y x)))))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(-.f64 (.f64 y x) (.f64 (neg.f64 x) y))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 #s(literal 1 binary64) (.f64 y x)))
(+.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (.f64 (.f64 y x) #s(literal 1 binary64)))
(+.f64 (.f64 y x) (.f64 y x))
(+.f64 y y)
#s(literal 2 binary64)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx (* (* x 2) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (* x 2) #s(literal 2 binary64))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
#s(approx (* (* x 2) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (* x 2) #s(literal 2 binary64))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #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 y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y))
#s(approx y y)
#s(approx (- x y) (-.f64 x y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #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 y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))

eval17.0ms (1.1%)

Memory: 35.3MiB live, 35.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 649 to 457 computations (82.7% saved)

prune5.0ms (0.3%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	152	6	158

Accuracy

100.0%

Counts

158 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.3%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
✓	36.9%	(/.f64 #s(approx (- x y) x) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	89.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
✓	50.4%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	50.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
✓	100.0%	#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 81 to 59 computations (27.2% saved)

series10.0ms (0.7%)

Memory

-40.7MiB live, 12.4MiB allocated; 5ms collecting garbage

Counts

8 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y) x y 1/2 -1/2)
2.0ms	x	@	inf	((/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y) x y 1/2 -1/2)
1.0ms	x	@	-inf	((/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y) x y 1/2 -1/2)
1.0ms	y	@	-inf	((/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y) x y 1/2 -1/2)
1.0ms	y	@	inf	((/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y) x y 1/2 -1/2)

rewrite99.0ms (6.5%)

Memory

23.7MiB live, 69.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	309
0	64	291
1	235	287
0	1603	285

Stop Event

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

Counts

27 → 77

Calls

Call 1

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

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

eval11.0ms (0.7%)

Memory: -26.5MiB live, 18.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 768 to 290 computations (83.6% saved)

prune3.0ms (0.2%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	66	6	72

Accuracy

100.0%

Counts

72 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.3%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
✓	36.9%	(/.f64 #s(approx (- x y) x) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	89.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
✓	50.4%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	50.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
✓	100.0%	#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 171 to 89 computations (48% saved)

regimes8.0ms (0.5%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.4%)

Memory

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

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.4%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
85.6%	5	`x`
86.1%	5	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.3%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.2%	3	`x`
75.5%	3	`y`
58.3%	4	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.2%)

Memory

6.0MiB live, 6.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.6%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
50.6%	1	`x`
50.6%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch1.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.322416053529722e+307	+inf
0.0ms	0.0	4.3000749677229806e-136
0.0ms	-3.811425690241256e-146	0.0
0.0ms	-inf	-2.213541437194499e+305

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch30.0ms (2%)

Memory

-33.8MiB live, 17.4MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	7.982717029342766e+65	1.3469423272692091e+70
6.0ms	-4.918598410608753e+72	-1.5725008682743068e+72

Samples

8.0ms

208×

valid

Compiler

Compiled 350 to 298 computations (14.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult!: 2.0ms (57.5% of total)

ival-sub!: 1.0ms (28.7% of total)

ival-div!: 1.0ms (28.7% of total)

adjust: 0.0ms (0% of total)

derivations30.0ms (1.9%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 182 to 42 computations (76.9% saved)

preprocess26.0ms (1.7%)

Memory: 7.7MiB live, 53.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 396 to 110 computations (72.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze65.0ms (4.2%)

sample861.0ms (56.1%)

explain62.0ms (4%)

preprocess44.0ms (2.9%)

series10.0ms (0.7%)

rewrite87.0ms (5.6%)

eval6.0ms (0.4%)

prune4.0ms (0.3%)

series10.0ms (0.7%)

rewrite129.0ms (8.4%)

eval17.0ms (1.1%)

prune5.0ms (0.3%)

series10.0ms (0.7%)

rewrite99.0ms (6.5%)

eval11.0ms (0.7%)

prune3.0ms (0.2%)

regimes8.0ms (0.5%)

regimes6.0ms (0.4%)

regimes5.0ms (0.3%)

regimes3.0ms (0.2%)

bsearch1.0ms (0.1%)

bsearch30.0ms (2%)

derivations30.0ms (1.9%)

preprocess26.0ms (1.7%)

end0.0ms (0%)

Profiling