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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

sample993.0ms (23.3%)

Memory

17.4MiB live, 1 386.6MiB allocated; 366ms collecting garbage

Samples

657.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 327.0ms

ival-mult: 273.0ms (83.5% of total)

ival-sub: 38.0ms (11.6% of total)

ival-true: 6.0ms (1.8% 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

explain308.0ms (7.2%)

Memory

-40.1MiB live, 264.3MiB allocated; 40ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
11	-	-	`(-.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	11	0
↳	`(*.f64 x x)`	overflow	61
↳	`(*.f64 x y)`	overflow	26

Confusion

	Predicted +	Predicted -
+	11	0
-	0	245

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	11	0	0
-	0	0	245

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	245
1	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 20.0ms (86.8% of total)

ival-sub: 2.0ms (8.7% 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)

preprocess316.0ms (7.4%)

Memory

7.9MiB live, 152.2MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	67	35
2	222	35
3	743	35
4	2045	35
5	3714	35
6	4645	35
7	5213	35
8	5659	35
9	6019	35
10	6285	35
11	7296	35
0	7	9
0	11	7
1	24	7
2	73	7
3	254	7
4	672	7
5	1366	7
6	2683	7
7	4206	7
8	5329	7
9	5725	7
10	5806	7
11	5923	7
12	5926	7
13	5926	7
14	6212	7
15	6492	7
16	6692	7
0	6692	7

Stop Event

1×	iter limit
1×	saturated
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 (-.f64 y x) #s(literal -2 binary64)) x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify174.0ms (4.1%)

Memory

9.4MiB live, 95.5MiB allocated; 16ms 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	73	21
3	254	21
4	672	21
5	1366	21
6	2683	21
7	4206	21
8	5329	21
9	5725	21
10	5806	21
11	5923	21
12	5926	21
13	5926	21
14	6212	21
15	6492	21
16	6692	21
0	6692	21

Stop Event

1×	iter limit
1×	saturated
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 (-.f64 y x) #s(literal -2 binary64)) 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

localize22.0ms (0.5%)

Memory

-3.3MiB live, 40.2MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
accuracy	2.347650057490618	(-.f64 (.f64 x x) (.f64 x y))

Samples

14.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-mult: 5.0ms (73.1% of total)

ival-sub: 1.0ms (14.6% 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)

series6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms 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
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))

simplify161.0ms (3.8%)

Memory

-16.2MiB live, 180.2MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	90
1	140	80
2	446	80
3	1533	80
4	4242	80
5	6798	80
0	8078	80

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

rewrite134.0ms (3.1%)

Memory

26.3MiB live, 169.2MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	38	18
2	310	12
3	4592	12
0	8219	12

Stop Event

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

Counts

4 → 100

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 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y x) x) (-.f64 y x)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (.f64 (+.f64 y x) x) (-.f64 x y)) (/.f64 (*.f64 (+.f64 y x) x) x))
(.f64 (/.f64 (.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (+.f64 y x) x) (-.f64 x y)))
(.f64 (/.f64 (.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (+.f64 y x) x) (+.f64 y x)))
(*.f64 (+.f64 y x) x)
(.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) x))
(*.f64 (-.f64 x y) x)
(.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (+.f64 y x) x) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (.f64 (+.f64 y x) x) (/.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) x)))
(*.f64 x (-.f64 x (neg.f64 y)))
(*.f64 x (+.f64 x (neg.f64 y)))
(*.f64 x (neg.f64 (+.f64 y x)))
(*.f64 x (+.f64 y x))
(*.f64 x (-.f64 x y))
(/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (-.f64 x y)) x)
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) x) (+.f64 y x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (.f64 x (.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 y x))) #s(literal 2 binary64))) (*.f64 (+.f64 y x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 (+.f64 y x) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 y x) x))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 y x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (.f64 x (/.f64 (*.f64 y y) (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) x) (+.f64 y x))
(/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) x) (-.f64 x y))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) x)) (.f64 (.f64 (+.f64 y x) x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 y x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (.f64 (+.f64 y x) x)))
(/.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)) (.f64 (+.f64 y x) x))
(neg.f64 (*.f64 (+.f64 y x) x))
(fma.f64 (exp.f64 (log.f64 y)) x (*.f64 x x))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) x (*.f64 x x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y x) x) (-.f64 y x)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64))) (.f64 (+.f64 y x) x) (.f64 x (/.f64 (.f64 y y) (+.f64 y x))))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (.f64 (+.f64 y x) x)) (.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (.f64 x (/.f64 (.f64 y y) (+.f64 y x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 y x (*.f64 x x))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (+.f64 y x) x)) (.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 (.f64 x x) (/.f64 x (+.f64 y x)) (.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 x (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (+.f64 y x) x)) (.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 x (/.f64 (.f64 x x) (+.f64 y x)) (.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 x (neg.f64 y) (*.f64 x x))
(fma.f64 x y (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 x x (*.f64 y x))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (.f64 x (/.f64 (.f64 y y) (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (.f64 y x) (.f64 x x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) x))
(-.f64 (.f64 x x) (.f64 y x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (.f64 x (/.f64 (.f64 y y) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 y x) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (.f64 x x) (.f64 y x))
#s(literal 0 binary64)
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 (neg.f64 y) x)
(*.f64 y x)
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(neg.f64 (*.f64 y x))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (.f64 y x))) (sinh.f64 (log.f64 (.f64 y x))))

eval11.0ms (0.2%)

Memory: 8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 073 to 383 computations (81.5% saved)

prune5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	5	108

Accuracy

100.0%

Counts

108 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
▶	100.0%	(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
▶	59.7%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	52.8%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
▶	11.0%	#s(literal 0 binary64)

Compiler

Compiled 94 to 76 computations (19.1% saved)

simplify282.0ms (6.6%)

Memory

-30.2MiB live, 74.0MiB allocated; 23ms collecting garbage

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	94
0	32	86
1	68	86
2	187	86
3	588	86
4	1329	86
5	2293	86
6	3759	86
7	5162	86
8	5686	86
9	5782	86
10	5954	86
11	5958	86
12	5958	86
13	6311	86
14	6656	86
15	6876	86
16	6876	86
0	6876	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
#s(literal 2 binary64)
(*.f64 (-.f64 x y) x)
(-.f64 x y)
x
y
#s(literal 0 binary64)
#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 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
#s(literal 2 binary64)
(fma.f64 (neg.f64 y) x (*.f64 x x))
(neg.f64 y)
y
x
(*.f64 x x)

Outputs
(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (-.f64 x y) x)
(-.f64 x y)
x
y
#s(literal 0 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 #s(literal -2 binary64) x) y))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 #s(literal -2 binary64) x) y)
#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 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 (-.f64 x y) x)
(neg.f64 y)
y
x
(*.f64 x x)

localize85.0ms (2%)

Memory

10.4MiB live, 96.4MiB allocated; 12ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 y)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
accuracy	0.7499917428166807	(fma.f64 (neg.f64 y) x (*.f64 x x))
accuracy	0.0	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	25.775527596061007	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(.f64 #s(literal -2 binary64) (.f64 y x))
accuracy	30.1973651438376	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
accuracy	0.0	(-.f64 x y)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
accuracy	0.01171875	(*.f64 (-.f64 x y) x)

Samples

74.0ms

256×

valid

Compiler

Compiled 86 to 21 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-add: 36.0ms (62.8% of total)

ival-mult: 17.0ms (29.6% of total)

ival-sub: 3.0ms (5.2% of total)

ival-neg: 1.0ms (1.7% 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)

series10.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Counts

12 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

simplify148.0ms (3.5%)

Memory

-15.2MiB live, 136.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	122
1	200	101
2	614	101
3	2012	101
4	4931	101
5	7103	101
0	8075	101

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

rewrite158.0ms (3.7%)

Memory

9.7MiB live, 199.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	79
0	31	71
1	102	71
2	741	47
0	10848	47

Stop Event

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

Counts

12 → 348

Calls

Call 1

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

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

eval29.0ms (0.7%)

Memory: -32.9MiB live, 57.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 5 043 to 762 computations (84.9% saved)

prune7.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	247	1	248
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	248	5	253

Accuracy

100.0%

Counts

253 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
✓	59.7%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	52.8%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x #s(literal -2 binary64)) y))
✓	11.0%	#s(literal 0 binary64)

Compiler

Compiled 47 to 38 computations (19.1% saved)

simplify156.0ms (3.7%)

Memory

4.9MiB live, 59.4MiB allocated; 9ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
0	13	24
1	30	24
2	84	24
3	261	24
4	679	24
5	1369	24
6	2689	24
7	4218	24
8	5341	24
9	5737	24
10	5818	24
11	5935	24
12	5938	24
13	5938	24
14	6224	24
15	6504	24
16	6704	24
0	6704	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.5%)

Memory

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

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 x #s(literal -2 binary64)) y)
accuracy	0.0	(*.f64 x #s(literal -2 binary64))
accuracy	30.1973651438376	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x #s(literal -2 binary64)) y))

Samples

16.0ms

256×

valid

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

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

ival-mult: 8.0ms (87% of total)

ival-sub: 1.0ms (10.9% 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)

series48.0ms (1.1%)

Memory

-40.4MiB live, 6.6MiB allocated; 5ms collecting garbage

Counts

3 → 8

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
45.0ms	y	@	-inf	((* 2 (- (* x x) (* x y))) (* (* x -2) y) (* x -2))
1.0ms	x	@	inf	((* 2 (- (* x x) (* x y))) (* (* x -2) y) (* x -2))
1.0ms	x	@	-inf	((* 2 (- (* x x) (* x y))) (* (* x -2) y) (* x -2))
1.0ms	x	@	0	((* 2 (- (* x x) (* x y))) (* (* x -2) y) (* x -2))
0.0ms	y	@	inf	((* 2 (- (* x x) (* x y))) (* (* x -2) y) (* x -2))

simplify199.0ms (4.7%)

Memory

24.9MiB live, 115.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	58
1	91	48
2	296	48
3	985	48
4	3816	48
5	7776	48
0	9130	48

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

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

rewrite133.0ms (3.1%)

Memory

4.9MiB live, 63.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	23
0	13	21
1	44	21
2	321	15
3	4585	15
0	8223	15

Stop Event

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

Counts

3 → 9

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 201 to 39 computations (80.6% saved)

prune35.0ms (0.8%)

Memory

-37.1MiB live, 8.9MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	13	5	18

Accuracy

100.0%

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
✓	59.7%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	52.8%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x #s(literal -2 binary64)) y))
✓	11.0%	#s(literal 0 binary64)

Compiler

Compiled 118 to 66 computations (44.1% saved)

regimes11.0ms (0.3%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 0 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 #s(literal -2 binary64)) y))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))

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

regimes8.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 0 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 #s(literal -2 binary64)) y))
#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)))

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

Calls

4 calls:

2.0ms	y
2.0ms	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
78.0%	2	`(-.f64 (.f64 x x) (.f64 x y))`
78.0%	2	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
80.7%	3	`x`
84.1%	3	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes12.0ms (0.3%)

Memory

-29.1MiB live, 17.0MiB allocated; 3ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 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 #s(literal -2 binary64)) y))

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

Calls

4 calls:

6.0ms	y
2.0ms	(-.f64 (.f64 x x) (.f64 x y))
2.0ms	x
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Results

Accuracy	Segments	Branch
52.8%	1	`(-.f64 (.f64 x x) (.f64 x y))`
52.8%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
52.8%	1	`x`
52.8%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 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:

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

Results

Accuracy	Segments	Branch
52.8%	1	`(-.f64 (.f64 x x) (.f64 x y))`
52.8%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
52.8%	1	`x`
52.8%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
11.0%	1	`(-.f64 (.f64 x x) (.f64 x y))`
11.0%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
11.0%	1	`x`
11.0%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch40.0ms (0.9%)

Memory

0.2MiB live, 46.2MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.875959230220219e+72	4.277003975045784e+82
24.0ms	-0.000405884925185404	-8.399262424459265e-5

Samples

12.0ms

256×

valid

Compiler

Compiled 492 to 396 computations (19.5% saved)

Precisions

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

ival-mult: 5.0ms (76.2% of total)

ival-sub: 1.0ms (15.2% 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)

simplify102.0ms (2.4%)

Memory

-9.6MiB live, 77.7MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	69
1	45	69
2	96	69
3	278	69
4	703	69
5	1422	69
6	2900	69
7	5989	69

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
(if (<=.f64 y #s(literal -1936908127739503/9223372036854775808 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 739999999999999989830234287718319780800471918629577805934940679664271076884480 binary64)) #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 (* 2 (- (* x x) (* x y))) (.f64 (.f64 x #s(literal -2 binary64)) y))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
#s(literal 0 binary64)

Outputs
(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
(if (<=.f64 y #s(literal -1936908127739503/9223372036854775808 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 739999999999999989830234287718319780800471918629577805934940679664271076884480 binary64)) #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)))))
(if (or (<=.f64 y #s(literal -1936908127739503/9223372036854775808 binary64)) (not (<=.f64 y #s(literal 739999999999999989830234287718319780800471918629577805934940679664271076884480 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 (.f64 x #s(literal -2 binary64)) y))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
#s(literal 0 binary64)

derivations588.0ms (13.8%)

Memory

7.7MiB live, 292.4MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	79
0	31	71
1	102	71
2	741	47
0	10848	47
0	7	22
0	11	18
1	38	18
2	310	12
3	4592	12
0	8219	12
0	42	90
1	140	80
2	446	80
3	1533	80
4	4242	80
5	6798	80
0	8078	80

Stop Event

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

Compiler

Compiled 77 to 29 computations (62.3% saved)

preprocess52.0ms (1.2%)

Memory: -14.9MiB live, 76.7MiB allocated; 20ms collecting garbage
Compiler: Compiled 186 to 84 computations (54.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample993.0ms (23.3%)

explain308.0ms (7.2%)

preprocess316.0ms (7.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify174.0ms (4.1%)

localize22.0ms (0.5%)

series6.0ms (0.1%)

simplify161.0ms (3.8%)

rewrite134.0ms (3.1%)

eval11.0ms (0.2%)

prune5.0ms (0.1%)

simplify282.0ms (6.6%)

localize85.0ms (2%)

series10.0ms (0.2%)

simplify148.0ms (3.5%)

rewrite158.0ms (3.7%)

eval29.0ms (0.7%)

prune7.0ms (0.2%)

simplify156.0ms (3.7%)

localize21.0ms (0.5%)

series48.0ms (1.1%)

simplify199.0ms (4.7%)

rewrite133.0ms (3.1%)

eval1.0ms (0%)

prune35.0ms (0.8%)

regimes11.0ms (0.3%)

regimes8.0ms (0.2%)

regimes12.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch40.0ms (0.9%)

simplify102.0ms (2.4%)

derivations588.0ms (13.8%)

preprocess52.0ms (1.2%)

end0.0ms (0%)

Profiling