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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze24.0ms (0.7%)

Memory

2.2MiB live, 39.9MiB allocated

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)

sample858.0ms (23.2%)

Memory

29.0MiB live, 1 163.1MiB allocated

Samples

581.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 356.0ms

ival-mult: 174.0ms (48.8% of total)

ival-div: 116.0ms (32.5% of total)

ival-add: 50.0ms (14% of total)

ival-true: 7.0ms (2% of total)

exact: 6.0ms (1.7% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain90.0ms (2.4%)

Memory

-20.8MiB live, 101.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
73	-	2	(-7.361190294843834e-207 -1.7283655982526084e-117)	`(/.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	39	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	39
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	32	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	32

Confusion

	Predicted +	Predicted -
+	71	2
-	0	183

Precision

1.0

Recall

0.9726027397260274

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	2
-	0	0	183

Precision?

1.0

Recall?

0.9726027397260274

Freqs

test

number	freq
0	185
1	71

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 9.0ms (55.8% of total)

ival-div: 3.0ms (18.6% of total)

ival-add: 3.0ms (18.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess47.0ms (1.3%)

Memory

17.8MiB live, 53.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	62	45
2	206	45
3	858	45
4	2833	37
5	6520	37
0	7	9
0	11	9
1	18	9
2	32	9
3	46	9
4	48	9
0	48	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

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 9 to 7 computations (22.2% saved)

simplify3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	18	23
2	32	23
3	46	23
4	48	23
0	48	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize23.0ms (0.6%)

Memory

4.8MiB live, 41.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	17.10564999645267	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

18.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (53.1% of total)

ival-div: 2.0ms (26.6% of total)

ival-add: 2.0ms (26.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series23.0ms (0.6%)

Memory

-34.1MiB live, 21.7MiB allocated

Counts

4 → 14

Calls

Call 1

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

Outputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
y
(+ x y)
(* 2 (* x y))
(* 2 x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	y	@	-inf	((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
2.0ms	x	@	-inf	((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
2.0ms	x	@	inf	((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
1.0ms	x	@	0	((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
1.0ms	y	@	inf	((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))

simplify123.0ms (3.3%)

Memory

14.6MiB live, 127.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	56
1	93	56
2	175	56
3	486	56
4	1337	56
5	2726	56
6	4403	56
7	5557	56
8	6474	56
9	7137	56
10	7594	56
0	8069	54

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 12

Calls

Call 1

Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
y
(+ x y)
(* 2 (* x y))
(* 2 x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite300.0ms (8.1%)

Memory

4.4MiB live, 274.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	39	20
2	251	20
3	2947	20
0	8983	20

Stop Event

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

Counts

4 → 590

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 y (.f64 (+.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 y x) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y x) x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y x))))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y))) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) x) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) x) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (+.f64 y x) x) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (neg.f64 y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 y x)) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))
(.f64 (pow.f64 (.f64 (/.f64 y (.f64 (+.f64 y x) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 #s(literal 2 binary64) y)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 y x)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) y)) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 y x)) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
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(.f64 (.f64 y x) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 y)))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (/.f64 (.f64 y x) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 y x))
(.f64 y (/.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(.f64 y (neg.f64 (.f64 #s(literal -2 binary64) x)))
(.f64 y (.f64 #s(literal 2 binary64) x))
(.f64 x (/.f64 (.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))
(.f64 x (neg.f64 (.f64 #s(literal -2 binary64) y)))
(.f64 x (.f64 #s(literal 2 binary64) y))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))
(neg.f64 (.f64 #s(literal -2 binary64) (.f64 y x)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (.f64 y x)))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))

eval94.0ms (2.5%)

Memory: 9.4MiB live, 88.5MiB allocated
Compiler: Compiled 13 013 to 1 684 computations (87.1% saved)

prune11.0ms (0.3%)

Memory

-0.1MiB live, 36.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	594	4	598
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	594	5	599

Accuracy

100.0%

Counts

599 → 5

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))
▶	89.3%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
▶	53.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	47.2%	#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 70 to 52 computations (25.7% saved)

simplify561.0ms (15.2%)

Memory

-116.9MiB live, 181.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
cost-diff	1	(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	108
0	28	106
1	44	106
2	74	106
3	109	106
4	158	106
5	272	106
6	483	106
7	869	106
8	1747	106
9	3451	106
10	5251	106
11	6517	106
12	7178	106
13	7329	106
14	7417	106
0	8513	106

Stop Event

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

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

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

localize61.0ms (1.7%)

Memory

-39.4MiB live, 90.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
accuracy	6.868106533819429	(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	29.619894512166933	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	33.76165556859388	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	0.0	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))

Samples

33.0ms

256×

valid

Compiler

Compiled 87 to 19 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 10.0ms (45.7% of total)

ival-mult: 7.0ms (32% of total)

ival-add: 3.0ms (13.7% of total)

ival-sub: 1.0ms (4.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

11 → 13

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

Outputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ -1/2 x)
1/2
(+ 1/2 (* 1/2 (/ x y)))
(/ x y)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ (* 1/2 x) (* 1/2 y)) 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 x) (/ (+ x y) (* (* x 2) y)) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (/ (+ x y) (* (* x 2) y)) (+ (* (/ x y) 1/2) 1/2) (/ x y))
2.0ms	x	@	-inf	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 y) (/ -1/2 x)) (/ 1/2 y) (/ -1/2 x) (/ (+ x y) (* (* x 2) y)) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (/ (+ x y) (* (* x 2) y)) (+ (* (/ x y) 1/2) 1/2) (/ x y))
2.0ms	x	@	inf	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 y) (/ -1/2 x)) (/ 1/2 y) (/ -1/2 x) (/ (+ x y) (* (* x 2) y)) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (/ (+ x y) (* (* x 2) y)) (+ (* (/ x y) 1/2) 1/2) (/ x y))
1.0ms	y	@	-inf	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 y) (/ -1/2 x)) (/ 1/2 y) (/ -1/2 x) (/ (+ x y) (* (* x 2) y)) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (/ (+ x y) (* (* x 2) y)) (+ (* (/ x y) 1/2) 1/2) (/ x y))
1.0ms	y	@	0	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 y) (/ -1/2 x)) (/ 1/2 y) (/ -1/2 x) (/ (+ x y) (* (* x 2) y)) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (/ (+ x y) (* (* x 2) y)) (+ (* (/ x y) 1/2) 1/2) (/ x y))

simplify233.0ms (6.3%)

Memory

7.2MiB live, 198.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	73
1	57	73
2	92	73
3	135	67
4	174	67
5	379	67
6	932	67
7	2322	67
8	3170	67
9	4110	67
10	5032	67
11	5888	67
12	7291	67
0	8405	63

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ -1/2 x)
1/2
(+ 1/2 (* 1/2 (/ x y)))
(/ x y)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)

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

rewrite260.0ms (7%)

Memory

12.6MiB live, 171.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	94
0	28	94
1	122	94
2	938	94
0	8310	94

Stop Event

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

Counts

11 → 319

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)
(/.f64 #s(literal -1/2 binary64) x)
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #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))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 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 (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))) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 y x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (neg.f64 y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #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 y x) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #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 (neg.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 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (/.f64 (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 (/.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 (/.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 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))

eval120.0ms (3.3%)

Memory: -3.5MiB live, 70.3MiB allocated
Compiler: Compiled 8 897 to 1 266 computations (85.8% saved)

prune6.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	339	0	339
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	339	5	344

Accuracy

100.0%

Counts

344 → 5

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))
✓	89.3%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
✓	53.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	47.2%	#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 140 to 77 computations (45% saved)

regimes140.0ms (3.8%)

Memory

-36.1MiB live, 54.4MiB allocated

Counts

5 → 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 (+.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:

135.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated

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 (+.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) y))

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
90.2%	3	`x`
91.3%	4	`y`
88.5%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

2 → 2

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))

Outputs
#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

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
82.3%	2	`y`
84.5%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

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	x
1.0ms	y

Results

Accuracy	Segments	Branch
47.2%	1	`y`
47.2%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
47.2%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch119.0ms (3.2%)

Memory

0.8MiB live, 39.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-8.093530993915377e-236	-1.1825826529366975e-241
104.0ms	-2.0221147217693659e+149	-4.059929110015151e+146

Samples

106.0ms

272×

valid

Compiler

Compiled 386 to 335 computations (13.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (41.2% of total)

ival-div: 2.0ms (27.5% of total)

ival-add: 2.0ms (27.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch37.0ms (1%)

Memory

-25.2MiB live, 13.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-1.0818986618941495e-167	-3.93024028999074e-179

Samples

29.0ms

160×

valid

Compiler

Compiled 272 to 232 computations (14.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add: 22.0ms (86.8% of total)

ival-mult: 2.0ms (7.9% of total)

ival-div: 1.0ms (3.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify79.0ms (2.1%)

Memory

-0.2MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	103
1	38	103
2	61	103
3	84	103
4	93	103
5	101	103
6	106	103
7	126	103
8	233	103
9	3667	103

Stop Event

1×	node limit

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)))
(if (<=.f64 x #s(literal -47500000000000000906787628929792519425532720386451478555933730200614906033400230642972388042765313033705974647052274160333238051397844021377589313536 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -2291112313477997/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -5630062723857731/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128 binary64)) #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)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #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)))
(if (<=.f64 x #s(literal -47500000000000000906787628929792519425532720386451478555933730200614906033400230642972388042765313033705974647052274160333238051397844021377589313536 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -2291112313477997/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -5630062723857731/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128 binary64)) #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)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

soundness426.0ms (11.5%)

Memory

-7.2MiB live, 151.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	56
1	93	56
2	175	56
3	486	56
4	1337	56
5	2726	56
6	4403	56
7	5557	56
8	6474	56
9	7137	56
10	7594	56
0	8069	54

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 125 to 57 computations (54.4% saved)

preprocess33.0ms (0.9%)

Memory: 37.6MiB live, 75.8MiB allocated
Remove: (sort x y)
Compiler: Compiled 272 to 112 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze24.0ms (0.7%)

sample858.0ms (23.2%)

explain90.0ms (2.4%)

preprocess47.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize23.0ms (0.6%)

series23.0ms (0.6%)

simplify123.0ms (3.3%)

rewrite300.0ms (8.1%)

eval94.0ms (2.5%)

prune11.0ms (0.3%)

simplify561.0ms (15.2%)

localize61.0ms (1.7%)

series10.0ms (0.3%)

simplify233.0ms (6.3%)

rewrite260.0ms (7%)

eval120.0ms (3.3%)

prune6.0ms (0.2%)

regimes140.0ms (3.8%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch119.0ms (3.2%)

bsearch37.0ms (1%)

simplify79.0ms (2.1%)

soundness426.0ms (11.5%)

preprocess33.0ms (0.9%)

end0.0ms (0%)

Profiling