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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample956.0ms (26.2%)

Memory

33.3MiB live, 1 217.4MiB allocated; 450ms collecting garbage

Samples

565.0ms

8 256×

valid

Precisions

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

ival-mult: 243.0ms (75.1% of total)

ival-sub: 65.0ms (20.1% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.5% of total)

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

adjust: 2.0ms (0.6% of total)

Bogosity

explain112.0ms (3.1%)

Memory

-27.8MiB live, 168.7MiB allocated; 28ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
12	-	-	`(-.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	12	0
↳	`(*.f64 x x)`	overflow	56
↳	`(*.f64 x y)`	overflow	28

Confusion

	Predicted +	Predicted -
+	12	0
-	0	244

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	12	0	0
-	0	0	244

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	244
1	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 14.0ms (76.5% of total)

ival-sub: 3.0ms (16.4% of total)

exact: 1.0ms (5.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess249.0ms (6.8%)

Memory

-6.2MiB live, 226.1MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	67	35
2	234	35
3	890	35
4	3805	35
5	7009	35
0	7	9
0	11	7
1	24	7
2	78	7
3	307	7
4	1275	7
5	4106	7
0	8191	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 #s(literal -2 binary64) x) (-.f64 y x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify180.0ms (4.9%)

Memory

-25.4MiB live, 279.8MiB allocated; 42ms 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	24	21
2	78	21
3	307	21
4	1275	21
5	4106	21
0	8191	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 #s(literal -2 binary64) x) (-.f64 y x))
#s(literal 2 binary64)
(-.f64 (.f64 x x) (.f64 x y))
(*.f64 (-.f64 x y) x)
(*.f64 x x)
x
(*.f64 x y)
(*.f64 y x)
y

localize18.0ms (0.5%)

Memory

38.6MiB live, 38.6MiB allocated; 0ms 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	2.4414041858302062	(-.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 (77.7% of total)

ival-sub: 1.0ms (15.5% 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)

series9.0ms (0.3%)

Memory

-30.3MiB live, 15.2MiB allocated; 4ms collecting garbage

Counts

4 → 15

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	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))
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))

simplify238.0ms (6.5%)

Memory

25.5MiB live, 253.5MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	97
1	140	88
2	488	88
3	1763	88
4	6628	88
0	8335	87

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite55.0ms (1.5%)

Memory

17.3MiB live, 75.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	38	18
0	322	18

Stop Event

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

Counts

4 → 93

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

eval52.0ms (1.4%)

Memory: -31.8MiB live, 13.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 601 to 268 computations (83.3% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	3	103

Accuracy

100.0%

Counts

103 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
▶	62.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	54.3%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 37 to 27 computations (27% saved)

simplify110.0ms (3%)

Memory

25.4MiB live, 111.1MiB allocated; 17ms collecting garbage

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	24	62
1	47	62
2	127	62
3	433	62
4	1492	62
5	4835	62
0	8523	62

Stop Event

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

Calls

Call 1

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

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

localize70.0ms (1.9%)

Memory

-2.4MiB live, 99.7MiB allocated; 18ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (-.f64 x y) (+.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	23.936347095729325	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	0.0078125	(.f64 #s(literal -2 binary64) (.f64 y x))
accuracy	29.276499933849305	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Samples

60.0ms

256×

valid

Compiler

Compiled 56 to 16 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 28.0ms (85.3% of total)

ival-sub: 3.0ms (9.1% of total)

ival-add: 1.0ms (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)

series44.0ms (1.2%)

Memory

-24.4MiB live, 19.9MiB allocated; 9ms collecting garbage

Counts

9 → 18

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	y	@	0	((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (* (- x y) (+ x x)) (- x y) (+ x x))
2.0ms	x	@	-inf	((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (* (- x y) (+ x x)) (- x y) (+ x x))
2.0ms	x	@	inf	((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (* (- x y) (+ x x)) (- x y) (+ x x))
1.0ms	x	@	0	((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (* (- x y) (+ x x)) (- x y) (+ x x))
1.0ms	y	@	-inf	((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (* (- x y) (+ x x)) (- x y) (+ x x))

simplify159.0ms (4.3%)

Memory

36.3MiB live, 278.3MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	85
1	148	75
2	511	75
3	1897	75
4	7949	75
0	8003	75

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 17

Calls

Call 1

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

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

rewrite95.0ms (2.6%)

Memory

-20.4MiB live, 123.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	59
0	24	57
1	78	39
0	630	39

Stop Event

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

Counts

9 → 93

Calls

Call 1

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

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

eval11.0ms (0.3%)

Memory: -10.0MiB live, 34.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 727 to 273 computations (84.2% saved)

prune5.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	97	5	102

Accuracy

100.0%

Counts

102 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
▶	4.7%	(*.f64 (-.f64 x y) #s(literal 2 binary64))
✓	62.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	54.3%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
▶	3.7%	#s(approx (* 2 (- (* x x) (* x y))) #s(literal 2 binary64))

Compiler

Compiled 53 to 41 computations (22.6% saved)

simplify119.0ms (3.2%)

Memory

-10.4MiB live, 138.6MiB allocated; 14ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 (-.f64 x y) #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	10	23
0	12	21
1	25	21
2	81	21
3	320	21
4	1227	21
5	4061	21
0	8143	21

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

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

localize23.0ms (0.6%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 (-.f64 x y) #s(literal 2 binary64))
accuracy	61.649744848003024	#s(approx (* 2 (- (* x x) (* x y))) #s(literal 2 binary64))

Samples

17.0ms

256×

valid

Compiler

Compiled 23 to 11 computations (52.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (71.2% of total)

ival-sub: 2.0ms (20.4% 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)

series55.0ms (1.5%)

Memory

-39.3MiB live, 5.2MiB allocated; 7ms collecting garbage

Counts

3 → 22

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	y	@	inf	((* 2 (- (* x x) (* x y))) (* (- x y) 2) (- x y))
1.0ms	y	@	-inf	((* 2 (- (* x x) (* x y))) (* (- x y) 2) (- x y))
1.0ms	x	@	-inf	((* 2 (- (* x x) (* x y))) (* (- x y) 2) (- x y))
1.0ms	x	@	inf	((* 2 (- (* x x) (* x y))) (* (- x y) 2) (- x y))
0.0ms	x	@	0	((* 2 (- (* x x) (* x y))) (* (- x y) 2) (- x y))

simplify184.0ms (5%)

Memory

37.3MiB live, 172.1MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	117
1	190	97
2	650	97
3	2341	97
4	6477	97
0	8351	97

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

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

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

rewrite61.0ms (1.7%)

Memory

-5.0MiB live, 38.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
0	12	17
1	49	17
0	422	17

Stop Event

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

Counts

3 → 19

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 340 to 80 computations (76.5% saved)

prune3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	26	6	32

Accuracy

100.0%

Counts

32 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
▶	4.7%	#s(approx (* (- x y) 2) (*.f64 x #s(literal 2 binary64)))
▶	3.9%	#s(approx (* (- x y) 2) (*.f64 #s(literal -2 binary64) y))
✓	62.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	54.3%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
✓	3.7%	#s(approx (* 2 (- (* x x) (* x y))) #s(literal 2 binary64))

Compiler

Compiled 66 to 52 computations (21.2% saved)

simplify204.0ms (5.6%)

Memory

-8.9MiB live, 193.0MiB allocated; 26ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	12	28
1	17	28
2	30	28
3	63	28
4	131	28
5	512	28
6	3765	28
0	8593	28

Stop Event

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

Calls

Call 1

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

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

localize36.0ms (1%)

Memory

6.0MiB live, 106.6MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	29.25344997850568	#s(approx (* (- x y) 2) (*.f64 x #s(literal 2 binary64)))
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	33.264421217304225	#s(approx (* (- x y) 2) (*.f64 #s(literal -2 binary64) y))

Samples

30.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 8.0ms (76.9% of total)

ival-sub: 1.0ms (9.6% 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)

series4.0ms (0.1%)

Memory

-41.1MiB live, 5.1MiB allocated; 2ms collecting garbage

Counts

4 → 7

Calls

Call 1

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

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

Calls

6 calls:

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

simplify120.0ms (3.3%)

Memory

43.5MiB live, 188.5MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	41
1	71	31
2	246	31
3	751	31
4	2543	31
5	5725	31
0	8042	31

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite75.0ms (2%)

Memory

-34.2MiB live, 56.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
0	12	24
1	30	24
0	156	24

Stop Event

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

Counts

4 → 11

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 137 to 34 computations (75.2% saved)

prune3.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	13	6	19

Accuracy

100.0%

Counts

19 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
	4.7%	#s(approx (* (- x y) 2) (+.f64 x x))
✓	3.9%	#s(approx (* (- x y) 2) (*.f64 #s(literal -2 binary64) y))
✓	62.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	54.3%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
✓	3.7%	#s(approx (* 2 (- (* x x) (* x y))) #s(literal 2 binary64))

Compiler

Compiled 155 to 81 computations (47.7% saved)

regimes13.0ms (0.4%)

Memory

25.8MiB live, 25.8MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
3.0ms	x
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
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)

regimes53.0ms (1.4%)

Memory

-32.3MiB live, 20.9MiB allocated; 10ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	y
3.0ms	x
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
2.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
84.5%	2	`(-.f64 (.f64 x x) (.f64 x y))`
84.5%	2	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
81.5%	3	`x`
84.0%	3	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes10.0ms (0.3%)

Memory

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

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.3%	1	`x`
54.3%	1	`y`
54.3%	1	`(-.f64 (.f64 x x) (.f64 x y))`
54.3%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes46.0ms (1.3%)

Memory

-25.3MiB live, 19.4MiB allocated; 7ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

39.0ms	(-.f64 (.f64 x x) (.f64 x y))
2.0ms	y
2.0ms	x
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Results

Accuracy	Segments	Branch
4.7%	1	`y`
4.7%	1	`(-.f64 (.f64 x x) (.f64 x y))`
4.7%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
4.7%	1	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB 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	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	x
1.0ms	y
1.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
3.7%	1	`y`
3.7%	1	`x`
3.7%	1	`(-.f64 (.f64 x x) (.f64 x y))`
3.7%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.2574465005527207e-257	0.0

Compiler

Compiled 12 to 12 computations (0% saved)

simplify45.0ms (1.2%)

Memory

3.4MiB live, 93.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	76
1	47	76
2	114	76
3	355	76
4	1294	76
5	6198	76

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (-.f64 x y) (+.f64 x x))
(if (<=.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (.f64 x y))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) #s(approx ( 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.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 #s(literal -2 binary64) (.f64 y x)))
#s(approx (* (- x y) 2) (+.f64 x x))
#s(approx (* 2 (- (* x x) (* x y))) #s(literal 2 binary64))

Outputs
(*.f64 (-.f64 x y) (+.f64 x x))
(if (<=.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (.f64 x y))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) #s(approx ( 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.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 #s(literal -2 binary64) (.f64 y x)))
#s(approx (* (- x y) 2) (+.f64 x x))
#s(approx (* 2 (- (* x x) (* x y))) #s(literal 2 binary64))

derivations198.0ms (5.4%)

Memory

-23.1MiB live, 139.6MiB allocated; 47ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 84 to 28 computations (66.7% saved)

preprocess30.0ms (0.8%)

Memory: -6.9MiB live, 93.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 200 to 82 computations (59% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample956.0ms (26.2%)

explain112.0ms (3.1%)

preprocess249.0ms (6.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify180.0ms (4.9%)

localize18.0ms (0.5%)

series9.0ms (0.3%)

simplify238.0ms (6.5%)

rewrite55.0ms (1.5%)

eval52.0ms (1.4%)

prune4.0ms (0.1%)

simplify110.0ms (3%)

localize70.0ms (1.9%)

series44.0ms (1.2%)

simplify159.0ms (4.3%)

rewrite95.0ms (2.6%)

eval11.0ms (0.3%)

prune5.0ms (0.1%)

simplify119.0ms (3.2%)

localize23.0ms (0.6%)

series55.0ms (1.5%)

simplify184.0ms (5%)

rewrite61.0ms (1.7%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

simplify204.0ms (5.6%)

localize36.0ms (1%)

series4.0ms (0.1%)

simplify120.0ms (3.3%)

rewrite75.0ms (2%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes13.0ms (0.4%)

regimes53.0ms (1.4%)

regimes10.0ms (0.3%)

regimes46.0ms (1.3%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify45.0ms (1.2%)

derivations198.0ms (5.4%)

preprocess30.0ms (0.8%)

end0.0ms (0%)

Profiling