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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.7MiB 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)

sample3.5s (58.3%)

Memory

-240.4MiB live, 1 526.4MiB allocated; 2.9s collecting garbage

Samples

2.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-sub: 2.0s (78.7% of total)

exact: 308.0ms (11.9% of total)

ival-mult: 238.0ms (9.2% of total)

adjust: 3.0ms (0.1% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain113.0ms (1.9%)

Memory

20.2MiB live, 212.0MiB allocated; 26ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
10	-	-	`(-.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	10	0
↳	`(*.f64 x x)`	overflow	60
↳	`(*.f64 x y)`	overflow	29

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

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

ival-mult: 13.0ms (78.5% of total)

ival-sub: 2.0ms (12.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess206.0ms (3.4%)

Memory

-24.4MiB live, 267.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	46
1	74	42
2	277	42
3	1112	42
4	4746	42
5	7674	42
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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify115.0ms (1.9%)

Memory

31.7MiB live, 123.2MiB allocated; 11ms 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

localize71.0ms (1.2%)

Memory

-37.6MiB live, 66.9MiB allocated; 30ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
accuracy	2.1992104933208236	(-.f64 (.f64 x x) (.f64 x y))

Samples

65.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-mult: 31.0ms (94.6% of total)

ival-sub: 1.0ms (3.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.6MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

4 → 16

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

simplify219.0ms (3.6%)

Memory

-14.6MiB live, 129.2MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	206
1	168	197
2	635	197
3	2655	197
4	6921	197
0	8156	196

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite87.0ms (1.4%)

Memory

13.4MiB live, 103.3MiB allocated; 11ms 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)

eval10.0ms (0.2%)

Memory: 24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 614 to 273 computations (83.1% saved)

prune29.0ms (0.5%)

Memory

-35.8MiB live, 10.2MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	4	104

Accuracy

100.0%

Counts

104 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
✓	96.1%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
▶	58.4%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
▶	58.4%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify141.0ms (2.3%)

Memory

26.4MiB live, 174.7MiB allocated; 14ms 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	#s(approx (- (* x x) (* x y)) (*.f64 x x))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
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	70
0	24	64
1	46	64
2	113	64
3	357	64
4	1386	64
5	4330	64
0	8232	64

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

localize49.0ms (0.8%)

Memory

-20.4MiB live, 80.2MiB allocated; 15ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
accuracy	26.629501778672857	#s(approx (- (* x x) (* x y)) (*.f64 x x))
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(.f64 #s(literal -2 binary64) (.f64 y x))
accuracy	26.638039534443408	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Samples

37.0ms

256×

valid

Compiler

Compiled 58 to 15 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sub: 16.0ms (58% of total)

ival-mult: 10.0ms (36.2% of total)

ival-add: 1.0ms (3.6% 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)

series9.0ms (0.2%)

Memory

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

Counts

9 → 33

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

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

Calls

6 calls:

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

simplify149.0ms (2.5%)

Memory

9.4MiB live, 136.3MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	381
1	239	361
2	785	361
3	3133	361
4	6492	361
0	8039	361

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

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

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

rewrite58.0ms (1%)

Memory

4.7MiB live, 62.5MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	24	57
1	77	51
0	619	51

Stop Event

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

Counts

9 → 103

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

eval15.0ms (0.3%)

Memory: -6.0MiB live, 36.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 098 to 301 computations (85.7% saved)

prune5.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	113	5	118

Accuracy

100.0%

Counts

118 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
▶	3.6%	(*.f64 (-.f64 x y) #s(literal 2 binary64))
▶	58.4%	(*.f64 #s(approx (- x y) x) (+.f64 x x))
✓	96.1%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	58.4%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 45 to 34 computations (24.4% saved)

simplify201.0ms (3.3%)

Memory

-39.4MiB live, 199.9MiB allocated; 29ms collecting garbage

Localize:

Found 5 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	(+.f64 x x)
cost-diff	0	#s(approx (- x y) x)
cost-diff	0	(*.f64 #s(approx (- x y) x) (+.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	13	29
1	22	29
2	44	29
3	96	29
4	221	29
5	869	29
6	4624	29
0	9216	29

Stop Event

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

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

28.4MiB live, 72.8MiB allocated; 5ms collecting garbage

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 (-.f64 x y) #s(literal 2 binary64))
accuracy	0.0	(+.f64 x x)
accuracy	0.00390625	(*.f64 #s(approx (- x y) x) (+.f64 x x))
accuracy	32.05479331720543	#s(approx (- x y) x)

Samples

17.0ms

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: 3.0ms (43.7% of total)

ival-sub: 2.0ms (29.1% of total)

ival-add: 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)

series4.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

5 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

simplify186.0ms (3.1%)

Memory

-19.1MiB live, 221.3MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	82	254
1	223	234
2	706	234
3	2479	234
4	6429	234
0	8154	234

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

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

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

rewrite67.0ms (1.1%)

Memory

6.7MiB live, 86.8MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	13	25
1	41	21
0	264	21

Stop Event

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

Counts

5 → 36

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 15.9MiB live, 16.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 639 to 116 computations (81.8% saved)

prune3.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	44	6	50

Accuracy

100.0%

Counts

50 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
✓	58.4%	(*.f64 #s(approx (- x y) x) (+.f64 x x))
▶	3.8%	(*.f64 #s(approx (- x y) x) #s(literal 2 binary64))
✓	96.1%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
▶	3.4%	#s(approx (* (- x y) 2) (*.f64 #s(literal -2 binary64) y))
✓	58.4%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 56 to 43 computations (23.2% saved)

simplify185.0ms (3.1%)

Memory

-58.3MiB live, 157.2MiB allocated; 64ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- x y) x)
cost-diff	0	(*.f64 #s(approx (- x y) 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	127	28
5	484	28
6	3514	28
0	8217	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
(*.f64 #s(approx (- x y) x) #s(literal 2 binary64))
#s(approx (- x y) x)
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
(*.f64 #s(approx (- x y) x) #s(literal 2 binary64))
#s(approx (- x y) x)
x
#s(literal 2 binary64)

localize20.0ms (0.3%)

Memory

5.3MiB live, 51.0MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(approx (- x y) x) #s(literal 2 binary64))
accuracy	32.05479331720543	#s(approx (- x y) x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	31.02532369976096	#s(approx (* (- x y) 2) (*.f64 #s(literal -2 binary64) y))

Samples

15.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

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

ival-mult: 3.0ms (53.2% of total)

ival-sub: 2.0ms (35.5% 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)

series2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

4 → 16

Calls

Call 1

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

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

Calls

6 calls:

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

simplify164.0ms (2.7%)

Memory

25.4MiB live, 168.2MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	143
1	144	133
2	436	133
3	1396	133
4	5731	133
0	8163	133

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite60.0ms (1%)

Memory

-20.6MiB live, 23.3MiB allocated; 7ms 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)
(*.f64 #s(approx (- x y) x) #s(literal 2 binary64))
#s(approx (- x y) x)

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

eval2.0ms (0%)

Memory: 3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 167 to 36 computations (78.4% saved)

prune3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	16	6	22

Accuracy

100.0%

Counts

22 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.8%	(+.f64 #s(approx (- x y) x) #s(approx (- x y) x))
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
✓	58.4%	(*.f64 #s(approx (- x y) x) (+.f64 x x))
✓	96.1%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	3.4%	#s(approx (* (- x y) 2) (*.f64 #s(literal -2 binary64) y))
✓	58.4%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 145 to 72 computations (50.3% saved)

regimes12.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

regimes37.0ms (0.6%)

Memory

-18.0MiB live, 34.0MiB allocated; 12ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	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
81.5%	2	`(-.f64 (.f64 x x) (.f64 x y))`
81.5%	2	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
84.2%	3	`x`
86.2%	3	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes12.0ms (0.2%)

Memory

-20.9MiB live, 23.5MiB allocated; 7ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.4%	1	`(-.f64 (.f64 x x) (.f64 x y))`
58.4%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
58.4%	1	`x`
58.4%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Accuracy

Total -1.1b remaining (-1.7%)

Threshold costs -1.1b (-1.7%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
1.0ms	x
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
3.8%	1	`x`
3.8%	1	`(-.f64 (.f64 x x) (.f64 x y))`
3.8%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
3.8%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch31.0ms (0.5%)

Memory

20.0MiB live, 64.5MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.006229499371052224	38133.571463955464
16.0ms	-4.40936373431324e+62	-4.7957643851990985e+53

Samples

17.0ms

288×

valid

Compiler

Compiled 444 to 354 computations (20.3% saved)

Precisions

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

ival-mult: 6.0ms (78.3% of total)

ival-sub: 1.0ms (13.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify51.0ms (0.9%)

Memory

-25.5MiB live, 75.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	58
1	41	58
2	98	58
3	325	58
4	1317	58
5	6084	58

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (-.f64 x y) (+.f64 x x))
(if (<=.f64 y #s(literal -660000000000000038061121990195982397386553500654108672 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 56 binary64)) (.f64 #s(approx (- x y) x) (+.f64 x x)) #s(approx ( 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))))
(*.f64 #s(approx (- x y) x) (+.f64 x x))
(+.f64 #s(approx (- x y) x) #s(approx (- x y) x))

Outputs
(*.f64 (-.f64 x y) (+.f64 x x))
(if (<=.f64 y #s(literal -660000000000000038061121990195982397386553500654108672 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 56 binary64)) (.f64 #s(approx (- x y) x) (+.f64 x x)) #s(approx ( 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))))
(if (or (<=.f64 y #s(literal -660000000000000038061121990195982397386553500654108672 binary64)) (not (<=.f64 y #s(literal 56 binary64)))) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (*.f64 #s(approx (- x y) x) (+.f64 x x)))
(*.f64 #s(approx (- x y) x) (+.f64 x x))
(+.f64 #s(approx (- x y) x) #s(approx (- x y) x))

derivations113.0ms (1.9%)

Memory

-14.9MiB live, 77.3MiB allocated; 11ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 60 to 25 computations (58.3% saved)

preprocess46.0ms (0.8%)

Memory: 16.1MiB live, 61.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 152 to 76 computations (50% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample3.5s (58.3%)

explain113.0ms (1.9%)

preprocess206.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify115.0ms (1.9%)

localize71.0ms (1.2%)

series6.0ms (0.1%)

simplify219.0ms (3.6%)

rewrite87.0ms (1.4%)

eval10.0ms (0.2%)

prune29.0ms (0.5%)

simplify141.0ms (2.3%)

localize49.0ms (0.8%)

series9.0ms (0.2%)

simplify149.0ms (2.5%)

rewrite58.0ms (1%)

eval15.0ms (0.3%)

prune5.0ms (0.1%)

simplify201.0ms (3.3%)

localize23.0ms (0.4%)

series4.0ms (0.1%)

simplify186.0ms (3.1%)

rewrite67.0ms (1.1%)

eval4.0ms (0.1%)

prune3.0ms (0%)

simplify185.0ms (3.1%)

localize20.0ms (0.3%)

series2.0ms (0%)

simplify164.0ms (2.7%)

rewrite60.0ms (1%)

eval2.0ms (0%)

prune3.0ms (0.1%)

regimes12.0ms (0.2%)

regimes37.0ms (0.6%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch31.0ms (0.5%)

simplify51.0ms (0.9%)

derivations113.0ms (1.9%)

preprocess46.0ms (0.8%)

end0.0ms (0%)

Profiling