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

0.8MiB live, 0.8MiB 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)

sample905.0ms (23.9%)

Memory

5.2MiB live, 1 418.6MiB allocated; 250ms collecting garbage

Samples

587.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-mult: 202.0ms (78.7% of total)

ival-sub: 44.0ms (17.1% of total)

exact: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain156.0ms (4.1%)

Memory

1.2MiB live, 191.8MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(-.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	13	0
↳	`(*.f64 x x)`	overflow	51
↳	`(*.f64 x y)`	overflow	28

Confusion

	Predicted +	Predicted -
+	13	0
-	0	243

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	0	0	243

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

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

ival-mult: 10.0ms (74% of total)

ival-sub: 2.0ms (14.8% 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)

preprocess226.0ms (6%)

Memory

4.2MiB live, 199.4MiB allocated; 34ms 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
▶	94.9%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify125.0ms (3.3%)

Memory

-11.5MiB live, 136.3MiB allocated; 26ms 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

localize28.0ms (0.7%)

Memory

-5.1MiB live, 41.1MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
accuracy	2.8085854933208236	(-.f64 (.f64 x x) (.f64 x y))

Samples

22.0ms

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 (72.5% of total)

ival-sub: 1.0ms (14.5% 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)

series6.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB 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))

simplify213.0ms (5.6%)

Memory

-4.1MiB live, 290.8MiB allocated; 44ms 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)))

rewrite180.0ms (4.8%)

Memory

-10.1MiB live, 157.0MiB allocated; 71ms 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)

eval27.0ms (0.7%)

Memory: -13.1MiB live, 35.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 614 to 273 computations (83.1% saved)

prune3.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	0	0	0
Picked	1	0	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))
▶	96.5%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
▶	58.4%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
▶	57.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify95.0ms (2.5%)

Memory

-3.5MiB live, 85.7MiB allocated; 10ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
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	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
cost-diff	2	(fma.f64 x x (*.f64 (neg.f64 y) 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	21	95
0	32	85
1	71	85
2	206	85
3	676	85
4	2821	85
5	6617	85
0	8059	85

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

localize82.0ms (2.2%)

Memory

7.9MiB live, 103.4MiB allocated; 16ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.01953125	(*.f64 (-.f64 x y) (+.f64 x x))
accuracy	0.0	(*.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	0.01171875	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
accuracy	2.249975228450042	(fma.f64 x x (*.f64 (neg.f64 y) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
accuracy	26.58820120335533	#s(approx (- (* x x) (* x y)) (*.f64 x x))
accuracy	0.0	(*.f64 y x)
accuracy	0.0078125	(.f64 #s(literal -2 binary64) (.f64 y x))
accuracy	27.147488549147212	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Samples

66.0ms

256×

valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-add: 27.0ms (49.5% of total)

ival-mult: 24.0ms (44% of total)

ival-sub: 2.0ms (3.7% of total)

ival-neg: 1.0ms (1.8% 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)

series22.0ms (0.6%)

Memory

-19.6MiB live, 26.2MiB allocated; 4ms collecting garbage

Counts

13 → 49

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)
(fma.f64 x x (*.f64 (neg.f64 y) x))
(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(*.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 x) (* (neg y) x)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* x x) (* (neg y) x)) #s(hole binary64 (* x (+ x (* -1 y)))))
#s(approx (* 2 (+ (* x x) (* (neg y) x))) #s(hole binary64 (* -2 (* x y))))
#s(approx (* 2 (+ (* x x) (* (neg y) x))) #s(hole binary64 (* x (+ (* -2 y) (* 2 x)))))
#s(approx (* (neg y) x) #s(hole binary64 (* -1 (* x y))))
#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 x) (* (neg y) x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (neg y) x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ y x))))))
#s(approx (* 2 (+ (* x x) (* (neg y) x))) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* 2 (+ (* x x) (* (neg y) x))) #s(hole binary64 (* (pow x 2) (+ 2 (* -2 (/ 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 x) (* (neg y) x)) #s(hole binary64 (+ (* -1 (* x y)) (pow x 2))))
#s(approx (* 2 (+ (* x x) (* (neg y) x))) #s(hole binary64 (+ (* -2 (* x y)) (* 2 (pow x 2)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#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 x) (* (neg y) x)) #s(hole binary64 (* y (+ (* -1 x) (/ (pow x 2) y)))))
#s(approx (* 2 (+ (* x x) (* (neg y) x))) #s(hole binary64 (* y (+ (* -2 x) (* 2 (/ (pow x 2) 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 (* 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 x) (* (neg y) x)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (pow x 2) y)))))))
#s(approx (* 2 (+ (* x x) (* (neg y) x))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 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
12.0ms	y	@	inf	((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (* (- x y) (+ x x)) (- x y) (+ x x))
2.0ms	y	@	0	((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (* (- 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 x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (* (- 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 x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (* (- x y) (+ x x)) (- x y) (+ x x))
2.0ms	x	@	0	((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (* (- x y) (+ x x)) (- x y) (+ x x))

simplify158.0ms (4.2%)

Memory

19.8MiB live, 164.4MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	121	580
1	317	550
2	961	550
3	3589	550
4	6576	550
0	8021	550

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 49

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

rewrite53.0ms (1.4%)

Memory

18.1MiB live, 61.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	85
0	32	75
1	114	67
0	980	67

Stop Event

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

Counts

13 → 272

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

eval21.0ms (0.6%)

Memory: -4.3MiB live, 39.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 547 to 503 computations (85.8% saved)

prune23.0ms (0.6%)

Memory

-31.6MiB live, 24.9MiB allocated; 11ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	192	4	196
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	194	6	200

Accuracy

100.0%

Counts

200 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.9%	(fma.f64 (neg.f64 y) #s(literal 2 binary64) #s(literal 2 binary64))
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
▶	3.9%	(*.f64 (-.f64 x y) #s(literal 2 binary64))
▶	57.6%	(*.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x x))
▶	58.4%	(*.f64 #s(approx (- x y) x) (+.f64 x x))
✓	96.5%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))

Compiler

Compiled 45 to 35 computations (22.2% saved)

simplify153.0ms (4%)

Memory

13.4MiB live, 146.4MiB allocated; 20ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	1	(fma.f64 (neg.f64 y) #s(literal 2 binary64) #s(literal 2 binary64))
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	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(*.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x x))
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	13	61
0	21	61
1	41	61
2	105	61
3	252	61
4	596	61
5	2343	61
6	5414	61
0	8067	60

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

localize62.0ms (1.6%)

Memory

8.6MiB live, 118.4MiB allocated; 23ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (neg.f64 y) #s(literal 2 binary64) #s(literal 2 binary64))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 (-.f64 x y) #s(literal 2 binary64))
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(neg.f64 y)
accuracy	0.01953125	(*.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x x))
accuracy	31.405939220045607	#s(approx (- x y) (neg.f64 y))
accuracy	0.0	(+.f64 x x)
accuracy	0.01953125	(*.f64 #s(approx (- x y) x) (+.f64 x x))
accuracy	31.425377177881778	#s(approx (- x y) x)

Samples

54.0ms

256×

valid

Compiler

Compiled 54 to 12 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 34.0ms (85.9% of total)

ival-sub: 2.0ms (5.1% of total)

ival-add: 2.0ms (5.1% of total)

ival-neg: 1.0ms (2.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-29.1MiB live, 16.0MiB allocated; 4ms collecting garbage

Counts

9 → 29

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((* (- x y) (+ x x)) (- x y) (+ x x) (* (- x y) (+ x x)) (- x y) (neg y) (* (- x y) 2) (- x y) (+ (* (neg y) 2) 2))
1.0ms	x	@	-inf	((* (- x y) (+ x x)) (- x y) (+ x x) (* (- x y) (+ x x)) (- x y) (neg y) (* (- x y) 2) (- x y) (+ (* (neg y) 2) 2))
1.0ms	x	@	inf	((* (- x y) (+ x x)) (- x y) (+ x x) (* (- x y) (+ x x)) (- x y) (neg y) (* (- x y) 2) (- x y) (+ (* (neg y) 2) 2))
1.0ms	y	@	inf	((* (- x y) (+ x x)) (- x y) (+ x x) (* (- x y) (+ x x)) (- x y) (neg y) (* (- x y) 2) (- x y) (+ (* (neg y) 2) 2))
1.0ms	x	@	0	((* (- x y) (+ x x)) (- x y) (+ x x) (* (- x y) (+ x x)) (- x y) (neg y) (* (- x y) 2) (- x y) (+ (* (neg y) 2) 2))

simplify185.0ms (4.9%)

Memory

14.7MiB live, 203.9MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	313
1	260	288
2	852	288
3	3196	288
4	7126	288
0	8425	280

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

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

rewrite53.0ms (1.4%)

Memory

6.9MiB live, 107.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
0	21	48
1	74	42
0	514	41

Stop Event

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

Counts

9 → 78

Calls

Call 1

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

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

eval8.0ms (0.2%)

Memory: 16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 309 to 216 computations (83.5% saved)

prune29.0ms (0.8%)

Memory

-35.3MiB live, 10.9MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	0	0	0
Picked	2	2	4
Done	0	2	2
Total	92	8	100

Accuracy

100.0%

Counts

100 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.9%	(fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64))
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
✓	57.6%	(*.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x x))
✓	58.4%	(*.f64 #s(approx (- x y) x) (+.f64 x x))
▶	4.1%	(*.f64 #s(approx (- x y) x) #s(literal 2 binary64))
✓	96.5%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
▶	3.6%	#s(approx (+ (* (neg y) 2) 2) (*.f64 #s(literal -2 binary64) y))
▶	3.6%	#s(approx (+ (* (neg y) 2) 2) #s(literal 2 binary64))

Compiler

Compiled 64 to 53 computations (17.2% saved)

simplify154.0ms (4.1%)

Memory

27.0MiB live, 204.9MiB allocated; 38ms collecting garbage

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	45
0	18	45
1	29	41
2	69	41
3	172	41
4	376	41
5	1254	41
6	3809	41
0	8121	41

Stop Event

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

Calls

Call 1

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

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

localize38.0ms (1%)

Memory

31.2MiB live, 74.6MiB allocated; 11ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64))
accuracy	0.0	(*.f64 #s(approx (- x y) x) #s(literal 2 binary64))
accuracy	31.425377177881778	#s(approx (- x y) x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	30.620530330355095	#s(approx (+ (* (neg y) 2) 2) (*.f64 #s(literal -2 binary64) y))
accuracy	32.633045234869776	#s(approx (+ (* (neg y) 2) 2) #s(literal 2 binary64))

Samples

30.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (56.4% of total)

ival-add: 3.0ms (24.2% of total)

ival-sub: 1.0ms (8.1% of total)

ival-neg: 1.0ms (8.1% 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 (0.2%)

Memory

-40.0MiB live, 6.7MiB allocated; 5ms collecting garbage

Counts

6 → 26

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((+ (* (neg y) 2) 2) (+ (* (neg y) 2) 2) (* -2 y) (* (- x y) 2) (- x y) (+ (* y -2) 2))
1.0ms	y	@	-inf	((+ (* (neg y) 2) 2) (+ (* (neg y) 2) 2) (* -2 y) (* (- x y) 2) (- x y) (+ (* y -2) 2))
0.0ms	y	@	0	((+ (* (neg y) 2) 2) (+ (* (neg y) 2) 2) (* -2 y) (* (- x y) 2) (- x y) (+ (* y -2) 2))
0.0ms	x	@	inf	((+ (* (neg y) 2) 2) (+ (* (neg y) 2) 2) (* -2 y) (* (- x y) 2) (- x y) (+ (* y -2) 2))
0.0ms	x	@	-inf	((+ (* (neg y) 2) 2) (+ (* (neg y) 2) 2) (* -2 y) (* (- x y) 2) (- x y) (+ (* y -2) 2))

simplify179.0ms (4.7%)

Memory

30.3MiB live, 233.6MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	251
1	188	231
2	587	231
3	2043	231
4	5321	231
5	7661	231
0	8466	215

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

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

rewrite90.0ms (2.4%)

Memory

-19.1MiB live, 123.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	37
0	18	37
1	66	33
0	482	33

Stop Event

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

Counts

6 → 46

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 589 to 127 computations (78.4% saved)

prune8.0ms (0.2%)

Memory

-29.0MiB live, 15.7MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	55	8	63

Accuracy

100.0%

Counts

63 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.9%	(fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64))
	4.1%	(+.f64 #s(approx (- x y) x) #s(approx (- x y) x))
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
✓	57.6%	(*.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x x))
✓	58.4%	(*.f64 #s(approx (- x y) x) (+.f64 x x))
✓	96.5%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
✓	3.6%	#s(approx (+ (* (neg y) 2) 2) (*.f64 #s(literal -2 binary64) y))
✓	3.6%	#s(approx (+ (* (neg y) 2) 2) #s(literal 2 binary64))

Compiler

Compiled 190 to 93 computations (51.1% saved)

regimes21.0ms (0.5%)

Memory

-9.3MiB live, 44.0MiB allocated; 8ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes18.0ms (0.5%)

Memory

30.7MiB live, 30.7MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
83.3%	2	`(-.f64 (.f64 x x) (.f64 x y))`
83.3%	2	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
83.9%	3	`x`
82.8%	3	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Calls

2 calls:

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
83.3%	2	`(-.f64 (.f64 x x) (.f64 x y))`
83.3%	2	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes16.0ms (0.4%)

Memory

-15.0MiB live, 30.1MiB allocated; 6ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
3.0ms	x
3.0ms	y
3.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
58.4%	1	`y`
58.4%	1	`x`
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)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes27.0ms (0.7%)

Memory

-23.6MiB live, 22.6MiB allocated; 5ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	x
2.0ms	y
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
2.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes5.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
3.6%	1	`y`
3.6%	1	`(-.f64 (.f64 x x) (.f64 x y))`
3.6%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
3.6%	1	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.9841236470182645e-170	6.335963491401338e-161

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.9841236470182645e-170	6.335963491401338e-161

Compiler

Compiled 12 to 12 computations (0% saved)

simplify88.0ms (2.3%)

Memory

7.3MiB live, 51.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	100
1	63	99
2	152	99
3	459	99
4	1556	99
5	7445	99

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (-.f64 x y) (+.f64 x x))
(if (<=.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (.f64 x y))) #s(literal 6798566308054619/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768 binary64)) (.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x x)) (*.f64 #s(approx (- x y) x) (+.f64 x x)))
(if (<=.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (.f64 x y))) #s(literal 6798566308054619/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768 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))
#s(approx (+ (* (neg y) 2) 2) #s(literal 2 binary64))

Outputs
(*.f64 (-.f64 x y) (+.f64 x x))
(if (<=.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (.f64 x y))) #s(literal 6798566308054619/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768 binary64)) (.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x x)) (*.f64 #s(approx (- x y) x) (+.f64 x x)))
(if (<=.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (.f64 x y))) #s(literal 6798566308054619/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768 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))
#s(approx (+ (* (neg y) 2) 2) #s(literal 2 binary64))

derivations249.0ms (6.6%)

Memory

-9.2MiB live, 176.5MiB allocated; 30ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 102 to 34 computations (66.7% saved)

preprocess50.0ms (1.3%)

Memory: 33.7MiB live, 87.0MiB allocated; 36ms collecting garbage
Compiler: Compiled 236 to 94 computations (60.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample905.0ms (23.9%)

explain156.0ms (4.1%)

preprocess226.0ms (6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify125.0ms (3.3%)

localize28.0ms (0.7%)

series6.0ms (0.2%)

simplify213.0ms (5.6%)

rewrite180.0ms (4.8%)

eval27.0ms (0.7%)

prune3.0ms (0.1%)

simplify95.0ms (2.5%)

localize82.0ms (2.2%)

series22.0ms (0.6%)

simplify158.0ms (4.2%)

rewrite53.0ms (1.4%)

eval21.0ms (0.6%)

prune23.0ms (0.6%)

simplify153.0ms (4%)

localize62.0ms (1.6%)

series9.0ms (0.2%)

simplify185.0ms (4.9%)

rewrite53.0ms (1.4%)

eval8.0ms (0.2%)

prune29.0ms (0.8%)

simplify154.0ms (4.1%)

localize38.0ms (1%)

series6.0ms (0.2%)

simplify179.0ms (4.7%)

rewrite90.0ms (2.4%)

eval5.0ms (0.1%)

prune8.0ms (0.2%)

regimes21.0ms (0.5%)

regimes18.0ms (0.5%)

regimes7.0ms (0.2%)

regimes16.0ms (0.4%)

regimes27.0ms (0.7%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify88.0ms (2.3%)

derivations249.0ms (6.6%)

preprocess50.0ms (1.3%)

end0.0ms (0%)

Profiling