Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample886.0ms (24%)

Memory

66.1MiB live, 1 321.1MiB allocated; 272ms collecting garbage

Samples

601.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 343.0ms

ival-mult: 266.0ms (77.6% of total)

ival-add: 61.0ms (17.8% of total)

ival-true: 5.0ms (1.5% of total)

exact: 5.0ms (1.5% of total)

adjust: 3.0ms (0.9% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain110.0ms (3%)

Memory

12.7MiB live, 144.4MiB allocated; 28ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
9	-	-	`(+.f64 (.f64 x x) (.f64 x y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x x) (.f64 x y))`	nan-rescue	9	0
↳	`(*.f64 x x)`	overflow	56
↳	`(*.f64 x y)`	overflow	28

Confusion

	Predicted +	Predicted -
+	9	0
-	0	247

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	9	0	0
-	0	0	247

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	247
1	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 21.0ms (86.8% of total)

ival-add: 2.0ms (8.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess234.0ms (6.3%)

Memory

-27.2MiB live, 179.5MiB allocated; 220ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	83	35
2	340	35
3	1301	35
4	5913	35
0	7	9
0	11	7
1	31	7
2	127	7
3	529	7
4	2020	7
5	5331	7
0	8021	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify104.0ms (2.8%)

Memory

10.3MiB live, 162.0MiB allocated; 20ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	11	21
1	31	21
2	127	21
3	529	21
4	2020	21
5	5331	21
0	8021	21

Stop Event

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

Calls

Call 1

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

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

localize58.0ms (1.6%)

Memory

-1.8MiB live, 42.9MiB allocated; 12ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
accuracy	1.9062458716604116	(+.f64 (.f64 x x) (.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (79.4% of total)

ival-add: 1.0ms (15.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

4 → 14

Calls

Call 1

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

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

Calls

6 calls:

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

simplify322.0ms (8.7%)

Memory

4.9MiB live, 371.6MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	84
1	153	84
2	562	84
3	1890	84
4	7232	84
0	8404	82

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite73.0ms (2%)

Memory

-40.7MiB live, 130.8MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	45	18
0	407	18

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 119

Calls

Call 1

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

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

eval38.0ms (1%)

Memory: -17.7MiB live, 28.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 975 to 321 computations (83.7% saved)

prune2.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	3	128

Accuracy

100.0%

Counts

128 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 y x) (+.f64 x x))
▶	55.8%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
▶	62.4%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify170.0ms (4.6%)

Memory

19.9MiB live, 160.6MiB allocated; 21ms collecting garbage

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	70
0	23	64
1	53	64
2	161	64
3	583	64
4	1769	64
5	5217	64
0	8045	64

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (1.6%)

Memory

-14.3MiB live, 85.1MiB allocated; 24ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 y x) (+.f64 x x))
accuracy	0.0	(*.f64 y x)
accuracy	0.0078125	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
accuracy	28.272452739148406	#s(approx (+ (* x x) (* x y)) (*.f64 y x))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	24.070222585622233	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))

Samples

27.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 10.0ms (71.4% of total)

ival-add: 3.0ms (21.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

9 → 22

Calls

Call 1

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

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

Calls

6 calls:

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

simplify149.0ms (4%)

Memory

-20.2MiB live, 110.7MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	96
1	194	96
2	644	96
3	2140	96
4	6428	96
0	8070	96

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 20

Calls

Call 1

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

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

rewrite71.0ms (1.9%)

Memory

21.6MiB live, 79.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
0	23	59
1	84	43
0	705	41

Stop Event

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

Counts

9 → 113

Calls

Call 1

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

Outputs
#s(approx (* 2 (+ (* x x) (* x y))) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 #s(approx (+ ( x x) (* x y)) (*.f64 y x)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
(/.f64 (-.f64 (.f64 #s(approx (+ ( x x) (* x y)) (.f64 y x)) #s(approx (+ ( x x) (* x y)) (.f64 y x))) (.f64 #s(approx (+ (* x x) (* x y)) (.f64 y x)) #s(approx (+ ( x x) (* x y)) (.f64 y x)))) (-.f64 #s(approx (+ ( x x) (* x y)) (.f64 y x)) #s(approx (+ ( x x) (* x y)) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* x x) (* x y)) (.f64 y x)) #s(literal 3 binary64)) (pow.f64 #s(approx (+ ( x x) (* x y)) (.f64 y x)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ ( x x) (* x y)) (.f64 y x)) #s(approx (+ ( x x) (* x y)) (.f64 y x)) (-.f64 (.f64 #s(approx (+ (* x x) (* x y)) (.f64 y x)) #s(approx (+ ( x x) (* x y)) (.f64 y x))) (.f64 #s(approx (+ (* x x) (* x y)) (.f64 y x)) #s(approx (+ ( x x) (* x y)) (*.f64 y x))))))
(fma.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* x y)) (.f64 y x)) (.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))))
(fma.f64 #s(approx (+ (* x x) (* x y)) (.f64 y x)) #s(literal 1 binary64) (.f64 #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) (.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))))
(+.f64 (.f64 #s(approx (+ ( x x) (* x y)) (.f64 y x)) #s(literal 1 binary64)) (.f64 #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (* x x) (* x y)) (.f64 y x)) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64)) x)
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 x (+.f64 (+.f64 y x) (+.f64 y x)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 y x)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 2 binary64)) (-.f64 y x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 x y)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (*.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (*.f64 x (-.f64 x y)))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 y #s(literal 2 binary64)) (.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) x)) (.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) x))) (-.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) x) (-.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) x)) (.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) x)))))
(/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (*.f64 x (-.f64 x y)))
(/.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (*.f64 #s(literal 0 binary64) (-.f64 y x)))
(/.f64 (.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 y x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 0 binary64)) (*.f64 (-.f64 y x) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 y x) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 0 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 x (-.f64 x y)) (.f64 (.f64 x (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y))))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x (-.f64 x y)) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (.f64 x (-.f64 x y)) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (-.f64 x y)) (.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (.f64 x (-.f64 x y))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 y x (*.f64 (+.f64 y x) x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 y x (*.f64 (+.f64 y x) x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (fma.f64 y x (*.f64 (+.f64 y x) x)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (fma.f64 y x (*.f64 (+.f64 y x) x)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x (fma.f64 y x (*.f64 (+.f64 y x) x)))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) x) (.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x)))
(fma.f64 (*.f64 y #s(literal 2 binary64)) x #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (*.f64 (+.f64 y x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y x (*.f64 (+.f64 y x) x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y x (*.f64 (+.f64 y x) x)))
(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) x))
(fma.f64 (.f64 (+.f64 y x) x) #s(literal 1 binary64) (.f64 (*.f64 (+.f64 y x) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 y x (fma.f64 x x (*.f64 (+.f64 y x) x)))
(fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 x (+.f64 y x) (*.f64 (+.f64 y x) x))
(fma.f64 x y (fma.f64 x x (*.f64 (+.f64 y x) x)))
(fma.f64 x x (fma.f64 y x (*.f64 (+.f64 y x) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))
(-.f64 (fma.f64 (+.f64 y x) x (.f64 x x)) (.f64 (neg.f64 x) y))
(-.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 x) y) (*.f64 (+.f64 y x) x)))
(-.f64 (.f64 (+.f64 y x) x) (.f64 (neg.f64 (+.f64 y x)) x))
(-.f64 (.f64 (+.f64 y x) x) (.f64 (neg.f64 x) (+.f64 y x)))
(-.f64 #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 y x)))
(+.f64 (fma.f64 (+.f64 y x) x (.f64 x x)) (.f64 y x))
(+.f64 (fma.f64 (+.f64 y x) x (.f64 y x)) (.f64 x x))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) x)) (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) x)))
(+.f64 (.f64 (.f64 (+.f64 y x) x) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 y x) x) #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (.f64 x x) (fma.f64 y x (.f64 (+.f64 y x) x)))
(+.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) x))
(+.f64 (.f64 y x) (fma.f64 x x (.f64 (+.f64 y x) x)))
(+.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))))
(+.f64 y x)
(+.f64 x y)
#s(literal 2 binary64)

eval16.0ms (0.4%)

Memory: -11.7MiB live, 32.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 137 to 308 computations (85.6% saved)

prune5.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	116	6	122

Accuracy

100.0%

Counts

122 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.0%	(fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))
✓	100.0%	(*.f64 (+.f64 y x) (+.f64 x x))
▶	4.7%	(*.f64 (+.f64 y x) #s(literal 2 binary64))
✓	55.8%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
✓	62.4%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	4.1%	#s(approx (* 2 (+ (* x x) (* x y))) #s(literal 2 binary64))

Compiler

Compiled 55 to 43 computations (21.8% saved)

simplify150.0ms (4.1%)

Memory

0.7MiB live, 149.6MiB allocated; 34ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
0	15	27
1	41	27
2	158	27
3	620	27
4	2231	27
5	5238	27
0	8254	27

Stop Event

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

Calls

Call 1

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

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

localize34.0ms (0.9%)

Memory

6.5MiB live, 97.4MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (+.f64 y x) #s(literal 2 binary64))
accuracy	61.347578845974674	#s(approx (* 2 (+ (* x x) (* x y))) #s(literal 2 binary64))

Samples

27.0ms

256×

valid

Compiler

Compiled 30 to 13 computations (56.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 13.0ms (77.4% of total)

ival-add: 3.0ms (17.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

-33.0MiB live, 13.5MiB allocated; 2ms collecting garbage

Counts

4 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((* 2 (+ (* x x) (* x y))) (* (+ y x) 2) (+ y x) (+ (* y 2) 2))
1.0ms	x	@	-inf	((* 2 (+ (* x x) (* x y))) (* (+ y x) 2) (+ y x) (+ (* y 2) 2))
1.0ms	y	@	inf	((* 2 (+ (* x x) (* x y))) (* (+ y x) 2) (+ y x) (+ (* y 2) 2))
1.0ms	x	@	inf	((* 2 (+ (* x x) (* x y))) (* (+ y x) 2) (+ y x) (+ (* y 2) 2))
0.0ms	x	@	0	((* 2 (+ (* x x) (* x y))) (* (+ y x) 2) (+ y x) (+ (* y 2) 2))

simplify170.0ms (4.6%)

Memory

7.2MiB live, 252.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	104
1	209	104
2	734	104
3	2773	104
4	7079	104
0	8710	102

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 22

Calls

Call 1

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

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

rewrite51.0ms (1.4%)

Memory

21.5MiB live, 67.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
0	15	21
1	80	21
0	672	21

Stop Event

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

Counts

4 → 54

Calls

Call 1

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

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

eval6.0ms (0.2%)

Memory: 12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 686 to 153 computations (77.7% saved)

prune11.0ms (0.3%)

Memory

-36.3MiB live, 9.2MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	61	8	69

Accuracy

100.0%

Counts

69 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	4.0%	(fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))
✓	100.0%	(*.f64 (+.f64 y x) (+.f64 x x))
✓	4.7%	(*.f64 (+.f64 y x) #s(literal 2 binary64))
✓	55.8%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
▶	3.9%	#s(approx (* (+ y x) 2) (*.f64 y #s(literal 2 binary64)))
▶	4.8%	#s(approx (* (+ y x) 2) (*.f64 x #s(literal 2 binary64)))
✓	62.4%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	4.1%	#s(approx (* 2 (+ (* x x) (* x y))) #s(literal 2 binary64))

Compiler

Compiled 73 to 59 computations (19.2% saved)

simplify213.0ms (5.8%)

Memory

34.1MiB live, 169.1MiB allocated; 34ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	11	28
1	17	28
2	37	28
3	107	28
4	311	28
5	1208	28
6	5735	28
0	8027	28

Stop Event

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

Calls

Call 1

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

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

localize49.0ms (1.3%)

Memory

-15.3MiB live, 29.1MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	33.183919031944576	#s(approx (* (+ y x) 2) (*.f64 y #s(literal 2 binary64)))
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	29.171284818564303	#s(approx (* (+ y x) 2) (*.f64 x #s(literal 2 binary64)))

Samples

44.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (64.6% of total)

ival-add: 1.0ms (16.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

4 → 7

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* (+ y x) 2) (* x 2) (* (+ y x) 2) (* y 2))
0.0ms	x	@	inf	((* (+ y x) 2) (* x 2) (* (+ y x) 2) (* y 2))
0.0ms	y	@	inf	((* (+ y x) 2) (* x 2) (* (+ y x) 2) (* y 2))
0.0ms	y	@	-inf	((* (+ y x) 2) (* x 2) (* (+ y x) 2) (* y 2))
0.0ms	x	@	0	((* (+ y x) 2) (* x 2) (* (+ y x) 2) (* y 2))

simplify225.0ms (6.1%)

Memory

-5.6MiB live, 196.1MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	31
1	73	31
2	234	31
3	793	31
4	2234	31
5	5957	31
0	8277	31

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite50.0ms (1.4%)

Memory

18.3MiB live, 62.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	11	24
1	30	24
0	169	24

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 16

Calls

Call 1

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

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

eval2.0ms (0%)

Memory: 7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 196 to 45 computations (77% saved)

prune10.0ms (0.3%)

Memory

-39.6MiB live, 14.4MiB allocated; 7ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	2	0	2
Done	0	6	6
Total	18	8	26

Accuracy

100.0%

Counts

26 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	4.0%	(fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))
✓	100.0%	(*.f64 (+.f64 y x) (+.f64 x x))
✓	4.7%	(*.f64 (+.f64 y x) #s(literal 2 binary64))
✓	55.8%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
	3.9%	#s(approx (* (+ y x) 2) (+.f64 y y))
	4.8%	#s(approx (* (+ y x) 2) (+.f64 x x))
✓	62.4%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	4.1%	#s(approx (* 2 (+ (* x x) (* x y))) #s(literal 2 binary64))

Compiler

Compiled 173 to 89 computations (48.6% saved)

regimes16.0ms (0.4%)

Memory

9.6MiB live, 56.2MiB allocated; 3ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs
(*.f64 (+.f64 y x) (+.f64 x x))

Calls

4 calls:

5.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
4.0ms	x
4.0ms	y
3.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes14.0ms (0.4%)

Memory

-9.6MiB live, 36.6MiB allocated; 2ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

4.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
3.0ms	(+.f64 (.f64 x x) (.f64 x y))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
81.6%	4	`(+.f64 (.f64 x x) (.f64 x y))`
81.6%	4	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
81.2%	3	`x`
85.5%	3	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes12.0ms (0.3%)

Memory

31.6MiB live, 31.6MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
3.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
62.4%	1	`(+.f64 (.f64 x x) (.f64 x y))`
62.4%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
62.4%	1	`x`
62.4%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes44.0ms (1.2%)

Memory

-20.8MiB live, 25.3MiB allocated; 3ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(approx (* (+ y x) 2) (+.f64 x x))

Calls

4 calls:

36.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
2.0ms	x
2.0ms	y
2.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
4.8%	1	`x`
4.8%	1	`(+.f64 (.f64 x x) (.f64 x y))`
4.8%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
4.8%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* 2 (+ (* x x) (* x y))) #s(literal 2 binary64))

Outputs
#s(approx (* 2 (+ (* x x) (* x y))) #s(literal 2 binary64))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
4.1%	1	`y`
4.1%	1	`x`
4.1%	1	`(+.f64 (.f64 x x) (.f64 x y))`
4.1%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch31.0ms (0.9%)

Memory

0.1MiB live, 54.5MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3096.1348867288857	31288.949553310547
21.0ms	-4.535793645864619e-71	-4.552568996280161e-75

Samples

21.0ms

224×

valid

Compiler

Compiled 404 to 320 computations (20.8% saved)

Precisions

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

ival-mult: 4.0ms (73.1% of total)

ival-add: 1.0ms (18.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify48.0ms (1.3%)

Memory

-8.8MiB live, 81.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	71
1	51	71
2	151	71
3	576	71
4	2202	71
5	5099	71

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (+.f64 y x) (+.f64 x x))
(if (<=.f64 y #s(literal -1398721602402525/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) (if (<=.f64 y #s(literal 8500 binary64)) #s(approx ( 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (+ y x) 2) (+.f64 x x))
#s(approx (* 2 (+ (* x x) (* x y))) #s(literal 2 binary64))

Outputs
(*.f64 (+.f64 y x) (+.f64 x x))
(if (<=.f64 y #s(literal -1398721602402525/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) (if (<=.f64 y #s(literal 8500 binary64)) #s(approx ( 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))))
(if (or (<=.f64 y #s(literal -1398721602402525/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (not (<=.f64 y #s(literal 8500 binary64)))) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) #s(approx ( 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64))))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (+ y x) 2) (+.f64 x x))
#s(approx (* 2 (+ (* x x) (* x y))) #s(literal 2 binary64))

derivations179.0ms (4.9%)

Memory

-8.2MiB live, 134.6MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 79 to 28 computations (64.6% saved)

preprocess45.0ms (1.2%)

Memory: 3.9MiB live, 94.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 190 to 82 computations (56.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample886.0ms (24%)

explain110.0ms (3%)

preprocess234.0ms (6.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify104.0ms (2.8%)

localize58.0ms (1.6%)

series6.0ms (0.2%)

simplify322.0ms (8.7%)

rewrite73.0ms (2%)

eval38.0ms (1%)

prune2.0ms (0.1%)

simplify170.0ms (4.6%)

localize61.0ms (1.6%)

series6.0ms (0.2%)

simplify149.0ms (4%)

rewrite71.0ms (1.9%)

eval16.0ms (0.4%)

prune5.0ms (0.1%)

simplify150.0ms (4.1%)

localize34.0ms (0.9%)

series5.0ms (0.1%)

simplify170.0ms (4.6%)

rewrite51.0ms (1.4%)

eval6.0ms (0.2%)

prune11.0ms (0.3%)

simplify213.0ms (5.8%)

localize49.0ms (1.3%)

series3.0ms (0.1%)

simplify225.0ms (6.1%)

rewrite50.0ms (1.4%)

eval2.0ms (0%)

prune10.0ms (0.3%)

regimes16.0ms (0.4%)

regimes14.0ms (0.4%)

regimes12.0ms (0.3%)

regimes44.0ms (1.2%)

regimes4.0ms (0.1%)

bsearch31.0ms (0.9%)

simplify48.0ms (1.3%)

derivations179.0ms (4.9%)

preprocess45.0ms (1.2%)

end0.0ms (0%)

Profiling