Metrics for System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

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 9 to 8 computations (11.1% saved)

sample591.0ms (15.6%)

Memory

11.0MiB live, 729.5MiB allocated

Samples

349.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 135.0ms (71% of total)

ival-sub: 41.0ms (21.6% of total)

ival-true: 6.0ms (3.2% of total)

exact: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain66.0ms (1.7%)

Memory

-1.5MiB live, 85.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
0	-	-	`y`
0	-	-	`(-.f64 (*.f64 x x) y)`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-mult: 11.0ms (78% of total)

ival-sub: 2.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess288.0ms (7.6%)

Memory

7.2MiB live, 121.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	58	35
2	177	35
3	686	35
4	1820	35
5	2356	35
6	2690	35
7	4602	35
8	5192	35
9	5638	35
10	6156	35
11	7690	35
0	6	7
0	9	7
1	17	7
2	44	7
3	185	7
4	654	7
5	1067	7
6	1479	7
7	2875	7
8	3373	7
9	4004	7
10	4359	7
11	4737	7
12	5278	7
13	6728	7
14	7883	7
0	8024	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

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

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify183.0ms (4.8%)

Memory

15.8MiB live, 124.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) y)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	17	18
2	44	18
3	185	18
4	654	18
5	1067	18
6	1479	18
7	2875	18
8	3373	18
9	4004	18
10	4359	18
11	4737	18
12	5278	18
13	6728	18
14	7883	18
0	8024	18

Stop Event

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

Calls

Call 1

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

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

localize18.0ms (0.5%)

Memory

0.6MiB live, 37.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(-.f64 (*.f64 x x) y)
accuracy	0.19692727122262535	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Samples

14.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (60.9% of total)

ival-sub: 1.0ms (20.3% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

3 → 13

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* 1/2 (- (* x x) y)) (- (* x x) y) (* x x))
1.0ms	x	@	0	((* 1/2 (- (* x x) y)) (- (* x x) y) (* x x))
1.0ms	y	@	0	((* 1/2 (- (* x x) y)) (- (* x x) y) (* x x))
0.0ms	x	@	-inf	((* 1/2 (- (* x x) y)) (- (* x x) y) (* x x))
0.0ms	y	@	-inf	((* 1/2 (- (* x x) y)) (- (* x x) y) (* x x))

simplify112.0ms (3%)

Memory

-4.5MiB live, 123.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	74
1	113	66
2	371	66
3	1550	66
4	4638	66
5	7178	66
0	8106	66

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite261.0ms (6.9%)

Memory

-25.2MiB live, 100.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	32	15
2	234	15
3	2554	15
0	9186	13

Stop Event

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

Counts

3 → 313

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (fma.f64 x x y))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 x x y) y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x x y)))
(.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x y))
(pow.f64 (/.f64 (fma.f64 x x y) (*.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (fma.f64 x x y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x y))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x y) (*.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x y) (*.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/2 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x y)) (/.f64 (.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)) (fma.f64 x x y)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x y)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) y)) (fma.f64 x x y)))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
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eval73.0ms (1.9%)

Memory: 14.5MiB live, 51.0MiB allocated
Compiler: Compiled 7 690 to 987 computations (87.2% saved)

prune6.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	315	4	319
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	316	4	320

Accuracy

100.0%

Counts

320 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal -1/2 binary64) y))
▶	99.7%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
▶	51.0%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
▶	51.2%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify184.0ms (4.9%)

Memory

-21.7MiB live, 63.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	192	(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 x x (neg.f64 y))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	74
0	26	73
1	53	73
2	120	73
3	315	73
4	833	73
5	1177	73
6	1550	73
7	2943	73
8	3441	73
9	4072	73
10	4427	73
11	4805	73
12	5346	73
13	6796	73
14	7951	73
0	8029	73

Stop Event

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

Calls

Call 1

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

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

localize42.0ms (1.1%)

Memory

0.1MiB live, 71.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal -1/2 binary64) y))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0	(fma.f64 x x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	0.19692727122262535	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
accuracy	0	(*.f64 x x)
accuracy	0.20083352122262535	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	31.144438834950027	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	31.251935217372523	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Samples

30.0ms

256×

valid

Compiler

Compiled 143 to 35 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 14.0ms (73.2% of total)

ival-add: 2.0ms (10.5% of total)

ival-sub: 1.0ms (5.2% of total)

ival-neg: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

10 → 14

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* 1/2 (- (* x x) y)) (* -1/2 y) (* 1/2 (- (* x x) y)) (* (* x x) 1/2) (* x x) (* 1/2 (+ (* x x) (neg y))) (+ (* x x) (neg y)) (neg y) (+ (* (* 1/2 x) x) (* -1/2 y)) (* 1/2 x))
1.0ms	x	@	inf	((* 1/2 (- (* x x) y)) (* -1/2 y) (* 1/2 (- (* x x) y)) (* (* x x) 1/2) (* x x) (* 1/2 (+ (* x x) (neg y))) (+ (* x x) (neg y)) (neg y) (+ (* (* 1/2 x) x) (* -1/2 y)) (* 1/2 x))
1.0ms	x	@	0	((* 1/2 (- (* x x) y)) (* -1/2 y) (* 1/2 (- (* x x) y)) (* (* x x) 1/2) (* x x) (* 1/2 (+ (* x x) (neg y))) (+ (* x x) (neg y)) (neg y) (+ (* (* 1/2 x) x) (* -1/2 y)) (* 1/2 x))
1.0ms	y	@	inf	((* 1/2 (- (* x x) y)) (* -1/2 y) (* 1/2 (- (* x x) y)) (* (* x x) 1/2) (* x x) (* 1/2 (+ (* x x) (neg y))) (+ (* x x) (neg y)) (neg y) (+ (* (* 1/2 x) x) (* -1/2 y)) (* 1/2 x))
1.0ms	y	@	-inf	((* 1/2 (- (* x x) y)) (* -1/2 y) (* 1/2 (- (* x x) y)) (* (* x x) 1/2) (* x x) (* 1/2 (+ (* x x) (neg y))) (+ (* x x) (neg y)) (neg y) (+ (* (* 1/2 x) x) (* -1/2 y)) (* 1/2 x))

simplify95.0ms (2.5%)

Memory

-7.0MiB live, 118.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	77
1	115	69
2	371	69
3	1542	69
4	4641	69
5	7193	69
0	8124	69

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite489.0ms (12.9%)

Memory

17.3MiB live, 171.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
0	26	59
1	90	59
2	680	53
0	8282	53

Stop Event

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

Counts

10 → 574

Calls

Call 1

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

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

eval114.0ms (3%)

Memory: -32.8MiB live, 101.8MiB allocated
Compiler: Compiled 9 101 to 1 038 computations (88.6% saved)

prune8.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	417	2	419
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	419	4	423

Accuracy

100.0%

Counts

423 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
▶	51.3%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
▶	2.3%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))
✓	51.2%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 42 to 34 computations (19% saved)

simplify234.0ms (6.2%)

Memory

8.0MiB live, 87.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	14	39
1	26	39
2	55	39
3	189	39
4	628	39
5	1040	39
6	1453	39
7	2851	39
8	3349	39
9	3980	39
10	4335	39
11	4713	39
12	5254	39
13	6704	39
14	7859	39
0	8003	39

Stop Event

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

Calls

Call 1

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

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

localize49.0ms (1.3%)

Memory

-18.6MiB live, 63.3MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 x #s(literal 1/2 binary64)) x)
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	31.144438834950027	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	62.53583323328798	#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))

Samples

43.0ms

256×

valid

Compiler

Compiled 70 to 23 computations (67.1% saved)

Precisions

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

ival-mult: 7.0ms (77.8% of total)

ival-sub: 1.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

5 → 8

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* 1/2 (- (* x x) y)) (* y 1/2) (* 1/2 (- (* x x) y)) (* (* x 1/2) x) (* x 1/2))
1.0ms	x	@	-inf	((* 1/2 (- (* x x) y)) (* y 1/2) (* 1/2 (- (* x x) y)) (* (* x 1/2) x) (* x 1/2))
1.0ms	x	@	0	((* 1/2 (- (* x x) y)) (* y 1/2) (* 1/2 (- (* x x) y)) (* (* x 1/2) x) (* x 1/2))
0.0ms	y	@	-inf	((* 1/2 (- (* x x) y)) (* y 1/2) (* 1/2 (- (* x x) y)) (* (* x 1/2) x) (* x 1/2))
0.0ms	y	@	inf	((* 1/2 (- (* x x) y)) (* y 1/2) (* 1/2 (- (* x x) y)) (* (* x 1/2) x) (* x 1/2))

simplify123.0ms (3.2%)

Memory

1.6MiB live, 75.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	50
1	65	42
2	197	42
3	723	42
4	3785	42
5	7936	42
0	8030	42

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

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

rewrite113.0ms (3%)

Memory

-6.3MiB live, 109.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	14	35
1	41	35
2	245	35
3	2563	35
0	9201	33

Stop Event

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

Counts

5 → 11

Calls

Call 1

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

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

eval2.0ms (0%)

Memory: 3.7MiB live, 3.7MiB allocated
Compiler: Compiled 215 to 43 computations (80% saved)

prune4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	16	4	20

Accuracy

100.0%

Counts

20 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
✓	51.3%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
✓	2.3%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))
✓	51.2%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 112 to 59 computations (47.3% saved)

regimes17.0ms (0.5%)

Memory

-9.8MiB live, 27.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	y
3.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
3.0ms	x
3.0ms	(-.f64 (*.f64 x x) y)
3.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 17 to 17 computations (0% saved)

regimes13.0ms (0.3%)

Memory

25.0MiB live, 25.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
3.0ms	y
3.0ms	(-.f64 (*.f64 x x) y)
3.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
99.7%	1	`(-.f64 (*.f64 x x) y)`
99.7%	1	`(*.f64 x x)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes15.0ms (0.4%)

Memory

1.6MiB live, 38.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(*.f64 x x)
2.0ms	y
2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	x
2.0ms	(-.f64 (*.f64 x x) y)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
99.7%	1	`(-.f64 (*.f64 x x) y)`
99.7%	1	`(*.f64 x x)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes19.0ms (0.5%)

Memory

-28.8MiB live, 23.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	(-.f64 (*.f64 x x) y)
2.0ms	x
2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	y
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
89.0%	2	`x`
68.5%	3	`y`
81.5%	2	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
81.5%	2	`(-.f64 (*.f64 x x) y)`
89.0%	2	`(*.f64 x x)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes8.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Accuracy

Total -31.8b remaining (-101.6%)

Threshold costs -31.8b (-101.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
1.0ms	(-.f64 (*.f64 x x) y)
1.0ms	y
1.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
51.2%	1	`y`
51.2%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
51.2%	1	`(-.f64 (*.f64 x x) y)`
51.2%	1	`x`
51.2%	1	`(*.f64 x x)`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1811186100581732e+39	6.827397036413624e+39

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify38.0ms (1%)

Memory

3.4MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	33	63
2	39	63
3	56	63
4	84	63
5	114	63
6	173	63
7	239	63
8	293	63
9	339	63
10	388	63
11	425	63
12	426	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(if (<=.f64 (.f64 x x) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx ( 1/2 (- (* x x) y)) (.f64 #s(literal -1/2 binary64) y)) #s(approx ( 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Outputs
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx ( 1/2 (- (* x x) y)) (.f64 #s(literal -1/2 binary64) y)) #s(approx ( 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
(if (<=.f64 (.f64 x x) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx ( 1/2 (- (* x x) y)) (.f64 y #s(literal -1/2 binary64))) #s(approx ( 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal -1/2 binary64)))

soundness543.0ms (14.3%)

Memory

-19.5MiB live, 300.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	60
0	26	59
1	90	59
2	680	53
0	8282	53
0	6	15
0	9	15
1	32	15
2	234	15
3	2554	15
0	9186	13
0	35	74
1	113	66
2	371	66
3	1550	66
4	4638	66
5	7178	66
0	8106	66

Stop Event

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

Compiler

Compiled 108 to 61 computations (43.5% saved)

preprocess73.0ms (1.9%)

Memory: 14.1MiB live, 52.6MiB allocated
Remove: (abs x)
Compiler: Compiled 220 to 128 computations (41.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	63
1	33	63
2	39	63
3	56	63
4	84	63
5	114	63
6	173	63
7	239	63
8	293	63
9	339	63
10	388	63
11	425	63
12	426	63

Iter	Nodes	Cost
0	23	63
1	33	63
2	39	63
3	56	63
4	84	63
5	114	63
6	173	63
7	239	63
8	293	63
9	339	63
10	388	63
11	425	63
12	426	63

start0.0ms (0%)

analyze0.0ms (0%)

sample591.0ms (15.6%)

explain66.0ms (1.7%)

preprocess288.0ms (7.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify183.0ms (4.8%)

localize18.0ms (0.5%)

series3.0ms (0.1%)

simplify112.0ms (3%)

rewrite261.0ms (6.9%)

eval73.0ms (1.9%)

prune6.0ms (0.1%)

simplify184.0ms (4.9%)

localize42.0ms (1.1%)

series6.0ms (0.2%)

simplify95.0ms (2.5%)

rewrite489.0ms (12.9%)

eval114.0ms (3%)

prune8.0ms (0.2%)

simplify234.0ms (6.2%)

localize49.0ms (1.3%)

series3.0ms (0.1%)

simplify123.0ms (3.2%)

rewrite113.0ms (3%)

eval2.0ms (0%)

prune4.0ms (0.1%)

regimes17.0ms (0.5%)

regimes13.0ms (0.3%)

regimes15.0ms (0.4%)

regimes19.0ms (0.5%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

simplify38.0ms (1%)

soundness543.0ms (14.3%)

preprocess73.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	63
1	33	63
2	39	63
3	56	63
4	84	63
5	114	63
6	173	63
7	239	63
8	293	63
9	339	63
10	388	63
11	425	63
12	426	63