Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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 17 to 9 computations (47.1% saved)

sample723.0ms (12.4%)

Memory

50.7MiB live, 995.7MiB allocated

Samples

494.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 309.0ms

ival-mult: 200.0ms (64.8% of total)

ival-add: 99.0ms (32.1% of total)

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

ival-assert: 3.0ms (1% of total)

Bogosity

explain136.0ms (2.3%)

Memory

-8.6MiB live, 155.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))`
-	-	`(+.f64 (.f64 x x) (.f64 y y))`
-	-	`y`
-	-	`(*.f64 y y)`
-	-	`(*.f64 x x)`
-	-	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

33.0ms

512×

valid

Compiler

Compiled 142 to 32 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 10.0ms (50.3% of total)

ival-add: 9.0ms (45.3% of total)

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

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

preprocess51.0ms (0.9%)

Memory

-30.9MiB live, 54.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	64	67
2	171	47
3	531	45
4	1121	45
5	1337	45
6	1348	45
0	7	15
0	12	15
1	18	13
2	28	9
3	40	9
4	48	9
5	51	9
0	51	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (.f64 x x) (.f64 y y))
cost-diff	192	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
cost-diff	512	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	41
0	12	41
1	18	37
2	28	33
3	40	33
4	48	33
5	51	33
0	51	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y

localize35.0ms (0.6%)

Memory

-6.4MiB live, 32.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	0.06640625	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Samples

29.0ms

256×

valid

Compiler

Compiled 84 to 16 computations (81% saved)

Precisions

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

ival-mult: 20.0ms (85.9% of total)

ival-add: 3.0ms (12.9% of total)

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

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

series4.0ms (0.1%)

Memory

6.5MiB live, 6.4MiB allocated

Counts

4 → 15

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)

Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))

Calls

6 calls:

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

simplify156.0ms (2.7%)

Memory

21.7MiB live, 172.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	121
1	86	105
2	215	105
3	851	105
4	2006	105
5	2640	105
6	4156	105
7	5632	105
8	6621	105
9	7899	105
0	8020	95

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))

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

rewrite252.0ms (4.3%)

Memory

-6.9MiB live, 311.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	36
0	12	36
1	54	32
2	517	26
3	7670	26
0	8277	23

Stop Event

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

Counts

4 → 331

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)

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

eval74.0ms (1.3%)

Memory: -23.0MiB live, 113.8MiB allocated
Compiler: Compiled 9 737 to 1 043 computations (89.3% saved)

prune5.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	334	4	338
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	335	4	339

Accuracy

100.0%

Counts

339 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
▶	99.9%	(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
▶	99.9%	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
▶	57.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 49 to 30 computations (38.8% saved)

simplify4.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	384	(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
cost-diff	64	(fma.f64 #s(literal 2 binary64) y y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 y y))
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	93
0	32	87
1	53	81
2	64	81
3	68	81
0	68	81

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
#s(literal 3 binary64)
(*.f64 y y)
y
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
#s(literal 3 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
y
(fma.f64 #s(literal 2 binary64) y y)
#s(literal 2 binary64)
(*.f64 x x)
x
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(.f64 #s(literal 3 binary64) (.f64 y y))
(.f64 (.f64 #s(literal 3 binary64) y) y)
#s(literal 3 binary64)
(*.f64 y y)
y
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
#s(literal 3 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
y
(fma.f64 #s(literal 2 binary64) y y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 2 binary64)
(*.f64 x x)
x
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
x

localize59.0ms (1%)

Memory

-0.8MiB live, 77.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.02734375	(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.06640625	(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.06640625	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.16796875	(.f64 #s(literal 3 binary64) (.f64 y y))
accuracy	27.374295797263212	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Samples

39.0ms

256×

valid

Compiler

Compiled 189 to 39 computations (79.4% saved)

Precisions

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

ival-add: 19.0ms (67.2% of total)

ival-mult: 9.0ms (31.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-26.3MiB live, 16.5MiB allocated

Counts

10 → 17

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 y y)
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) y y)
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y y (*.f64 x x))

Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(* y (+ y (* 2 y)))
(+ (* y (+ y (* 2 y))) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 3 y)
(* 2 y)
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (* x x) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)))
2.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (* x x) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)))
1.0ms	y	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (* x x) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)))
1.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (* x x) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)))
1.0ms	x	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (* x x) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)))

simplify179.0ms (3.1%)

Memory

8.7MiB live, 240.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	139
1	105	111
2	259	111
3	926	111
4	2097	111
5	2829	111
6	5239	111
7	6618	111
8	7460	111
0	8003	101

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(* y (+ y (* 2 y)))
(+ (* y (+ y (* 2 y))) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 3 y)
(* 2 y)
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))

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

rewrite235.0ms (4%)

Memory

27.6MiB live, 219.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	73
0	32	67
1	145	61
2	1166	61
0	8396	61

Stop Event

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

Counts

10 → 670

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 y y)
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) y y)
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y y (*.f64 x x))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) y)) y) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))
(.f64 (.f64 y (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) y))) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1 binary64)))
(.f64 (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 y y))))
(.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y))))))
(.f64 (.f64 #s(literal 3 binary64) y) y)
(.f64 #s(literal 3 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 y (.f64 #s(literal 3 binary64) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) y)) y)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) y)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (.f64 y (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) y)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) y)))
(/.f64 (neg.f64 (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 y y))))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) y)) y) (-.f64 (*.f64 #s(literal 2 binary64) y) y))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 y (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) y))) (-.f64 (*.f64 #s(literal 2 binary64) y) y))
(/.f64 (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) y))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y)))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) y)))) (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (.f64 y (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) y)))) (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y)) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 y y)))) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 y y))
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 18 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y y))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 y x)) (/.f64 y (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (/.f64 y (+.f64 y x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))

eval149.0ms (2.6%)

Memory: -20.4MiB live, 69.5MiB allocated
Compiler: Compiled 9 603 to 1 001 computations (89.6% saved)

prune40.0ms (0.7%)

Memory

-9.4MiB live, 30.0MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	353	4	357
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	355	6	361

Accuracy

100.0%

Counts

361 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.2%	(fma.f64 y (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) y) y)))) (.f64 x x))
▶	37.0%	(fma.f64 y (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (.f64 y y))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (-.f64 (.f64 #s(literal 2 binary64) y) y))) (*.f64 x x))
✓	99.9%	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
▶	57.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
▶	57.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	57.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 140 to 69 computations (50.7% saved)

simplify211.0ms (3.6%)

Memory

-2.2MiB live, 152.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) y) y)))) (.f64 x x))
cost-diff	512	(-.f64 (*.f64 #s(literal 2 binary64) y) y)
cost-diff	1024	(/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) y) y))
cost-diff	7296	(fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (*.f64 #s(literal 2 binary64) y) y))))
cost-diff	0	(fma.f64 y (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (.f64 y y))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (-.f64 (.f64 #s(literal 2 binary64) y) y))) (*.f64 x x))
cost-diff	512	(-.f64 (*.f64 #s(literal 2 binary64) y) y)
cost-diff	6656	(-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (*.f64 y y)))
cost-diff	7488	(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (.f64 y y))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (-.f64 (.f64 #s(literal 2 binary64) y) y)))
cost-diff	-128	(+.f64 y y)
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
cost-diff	384	(fma.f64 y (+.f64 y y) (*.f64 y y))
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) y) y)
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	317
0	58	243
1	123	217
2	315	133
3	1284	133
4	4698	133
0	8282	133

Stop Event

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

Calls

Call 1

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

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

localize282.0ms (4.8%)

Memory

7.6MiB live, 162.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.006191259768442017	(.f64 #s(literal 4 binary64) (.f64 y y))
accuracy	0.01171875	(fma.f64 y (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) y) y)))) (.f64 x x))
accuracy	20.68049809393216	(/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) y) y))
accuracy	20.93220977143019	(fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (*.f64 #s(literal 2 binary64) y) y))))
accuracy	0.05859375	(.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (*.f64 y y))
accuracy	0.05859375	(.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) y))
accuracy	11.820312500000002	(-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (*.f64 y y)))
accuracy	29.061345463856718	(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (.f64 y y))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (-.f64 (.f64 #s(literal 2 binary64) y) y)))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 y y)
accuracy	0.02734375	(fma.f64 y (+.f64 y y) (*.f64 y y))
accuracy	19.16817769678141	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
accuracy	0.0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.04296875	(.f64 (.f64 #s(literal 3 binary64) y) y)
accuracy	19.16817769678141	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))

Samples

171.0ms	87×	5	exit
63.0ms	169×	0	valid

Compiler

Compiled 626 to 68 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

adjust: 92.0ms (45.6% of total)

ival-mult: 55.0ms (27.2% of total)

ival-add: 41.0ms (20.3% of total)

ival-pow: 7.0ms (3.5% of total)

ival-div: 3.0ms (1.5% of total)

ival-sub: 2.0ms (1% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

17 → 21

Calls

Call 1

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

Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2))
(+ (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2)) (pow x 2))
(* y (- (* 4 (/ (pow y 2) (- (* 2 y) y))) (/ (pow y 2) (- (* 2 y) y))))
(+ (* y (- (* 4 (/ (pow y 2) (- (* 2 y) y))) (/ (pow y 2) (- (* 2 y) y)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (* (pow x 2) (pow (- (* 2 y) y) 2)))))
(* (pow x 2) (+ 1 (/ (* y (- (* 4 (/ (pow y 2) (- (* 2 y) y))) (/ (pow y 2) (- (* 2 y) y)))) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* 3 y)
(pow y 2)
(* 2 y)
(* 3 (pow y 3))
y
(* 4 (pow y 3))
(pow y 3)
(* 4 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (/ (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (* (- (* 2 y) y) (- (* 2 y) y))) (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (- (* 2 y) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (* (- (* 2 y) y) (- (* 2 y) y)))) (* x x)) (+ (* (* 4 (* y y)) (pow (- (* 2 y) y) -1)) (neg (/ (* y y) (- (* 2 y) y)))) (/ (* y y) (- (* 2 y) y)) (+ (* y (+ (* (* 4 (* y y)) (pow (- (* 2 y) y) -1)) (neg (/ (* y y) (- (* 2 y) y))))) (* x x)) (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y)) (* 4 (* y y)))
3.0ms	y	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (/ (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (* (- (* 2 y) y) (- (* 2 y) y))) (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (- (* 2 y) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (* (- (* 2 y) y) (- (* 2 y) y)))) (* x x)) (+ (* (* 4 (* y y)) (pow (- (* 2 y) y) -1)) (neg (/ (* y y) (- (* 2 y) y)))) (/ (* y y) (- (* 2 y) y)) (+ (* y (+ (* (* 4 (* y y)) (pow (- (* 2 y) y) -1)) (neg (/ (* y y) (- (* 2 y) y))))) (* x x)) (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y)) (* 4 (* y y)))
3.0ms	x	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (/ (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (* (- (* 2 y) y) (- (* 2 y) y))) (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (- (* 2 y) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (* (- (* 2 y) y) (- (* 2 y) y)))) (* x x)) (+ (* (* 4 (* y y)) (pow (- (* 2 y) y) -1)) (neg (/ (* y y) (- (* 2 y) y)))) (/ (* y y) (- (* 2 y) y)) (+ (* y (+ (* (* 4 (* y y)) (pow (- (* 2 y) y) -1)) (neg (/ (* y y) (- (* 2 y) y))))) (* x x)) (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y)) (* 4 (* y y)))
2.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (/ (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (* (- (* 2 y) y) (- (* 2 y) y))) (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (- (* 2 y) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (* (- (* 2 y) y) (- (* 2 y) y)))) (* x x)) (+ (* (* 4 (* y y)) (pow (- (* 2 y) y) -1)) (neg (/ (* y y) (- (* 2 y) y)))) (/ (* y y) (- (* 2 y) y)) (+ (* y (+ (* (* 4 (* y y)) (pow (- (* 2 y) y) -1)) (neg (/ (* y y) (- (* 2 y) y))))) (* x x)) (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y)) (* 4 (* y y)))
1.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (/ (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (* (- (* 2 y) y) (- (* 2 y) y))) (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (- (* 2 y) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y))) (* (- (* 2 y) y) (- (* 2 y) y)))) (* x x)) (+ (* (* 4 (* y y)) (pow (- (* 2 y) y) -1)) (neg (/ (* y y) (- (* 2 y) y)))) (/ (* y y) (- (* 2 y) y)) (+ (* y (+ (* (* 4 (* y y)) (pow (- (* 2 y) y) -1)) (neg (/ (* y y) (- (* 2 y) y))))) (* x x)) (* (* 4 (* y y)) (- (* 2 y) y)) (* (- (* 2 y) y) (* y y)) (* 4 (* y y)))

simplify161.0ms (2.8%)

Memory

-20.6MiB live, 62.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	155
1	131	123
2	417	123
3	2284	123
0	8709	115

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 20

Calls

Call 1

Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2))
(+ (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2)) (pow x 2))
(* y (- (* 4 (/ (pow y 2) (- (* 2 y) y))) (/ (pow y 2) (- (* 2 y) y))))
(+ (* y (- (* 4 (/ (pow y 2) (- (* 2 y) y))) (/ (pow y 2) (- (* 2 y) y)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (* (pow x 2) (pow (- (* 2 y) y) 2)))))
(* (pow x 2) (+ 1 (/ (* y (- (* 4 (/ (pow y 2) (- (* 2 y) y))) (/ (pow y 2) (- (* 2 y) y)))) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* 3 y)
(pow y 2)
(* 2 y)
(* 3 (pow y 3))
y
(* 4 (pow y 3))
(pow y 3)
(* 4 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))

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

rewrite238.0ms (4.1%)

Memory

-1.0MiB live, 160.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	249
0	58	163
1	246	123
2	2348	64
0	13241	60

Stop Event

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

Counts

17 → 2 404

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
(.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 y y)) (/.f64 (pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (pow.f64 y #s(literal 6 binary64)))) (/.f64 y (pow.f64 y #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (pow.f64 y #s(literal 9 binary64)))) (/.f64 y (pow.f64 y #s(literal 6 binary64))))
(.f64 (/.f64 y (/.f64 (.f64 y y) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (neg.f64 y) #s(literal -3 binary64)))
(.f64 (/.f64 y (/.f64 (.f64 y y) (pow.f64 y #s(literal 9 binary64)))) (pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (neg.f64 y) #s(literal -3 binary64)) y))
(*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) y) (/.f64 (pow.f64 (neg.f64 y) #s(literal -3 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) y) (/.f64 (pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 y y) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 y y) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 y y) #s(literal 3 binary64)) (/.f64 y y))
(.f64 (/.f64 (.f64 y y) #s(literal 3 binary64)) (/.f64 (neg.f64 y) y))
(.f64 (/.f64 (.f64 y y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) y))
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(.f64 (/.f64 y #s(literal 3 binary64)) (/.f64 (.f64 y y) y))
(.f64 (/.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (.f64 y y) y))
(*.f64 (/.f64 (neg.f64 y) #s(literal 3 binary64)) (neg.f64 y))
(.f64 (/.f64 (.f64 y y) y) (/.f64 y #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 y y) y) (/.f64 (neg.f64 y) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 y y) y) (neg.f64 y))
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 (neg.f64 y) y))
(.f64 (/.f64 y y) (/.f64 (.f64 y y) #s(literal 3 binary64)))
(.f64 (/.f64 y y) (.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (pow.f64 (/.f64 (neg.f64 y) y) #s(literal 2 binary64)) (.f64 y y))
(.f64 (.f64 y #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 y (pow.f64 (neg.f64 y) #s(literal -3 binary64))))
(.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 y (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (neg.f64 y) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 (pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) y) (/.f64 (neg.f64 y) (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 y) y) (/.f64 (.f64 y y) #s(literal 3 binary64)))
(*.f64 (/.f64 (neg.f64 y) y) (/.f64 (pow.f64 y #s(literal 3 binary64)) y))
(.f64 (/.f64 (neg.f64 y) y) (/.f64 (.f64 y y) #s(literal 5 binary64)))
(.f64 (/.f64 (neg.f64 y) y) (.f64 y y))
(.f64 (.f64 y y) (/.f64 y y))
(.f64 (.f64 y y) (pow.f64 (neg.f64 (/.f64 (neg.f64 y) y)) #s(literal 2 binary64)))
(.f64 (.f64 y y) (pow.f64 (/.f64 (neg.f64 y) y) #s(literal 2 binary64)))
(.f64 (.f64 y y) (/.f64 (neg.f64 y) y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 (.f64 y y) #s(literal 3 binary64))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (pow.f64 (neg.f64 y) #s(literal -3 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64))) #s(literal 2 binary64)))
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(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))
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(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))
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#s(literal 0 binary64)

eval131.0ms (2.2%)

Memory: 7.9MiB live, 163.6MiB allocated
Compiler: Compiled 19 588 to 2 129 computations (89.1% saved)

prune53.0ms (0.9%)

Memory

6.8MiB live, 46.0MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	810	3	813
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	810	9	819

Accuracy

100.0%

Counts

819 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.2%	(fma.f64 y (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) y) y)))) (.f64 x x))
✓	37.0%	(fma.f64 y (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (.f64 y y))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (-.f64 (.f64 #s(literal 2 binary64) y) y))) (*.f64 x x))
▶	79.6%	(fma.f64 x x (*.f64 y y))
✓	99.9%	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
✓	57.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
✓	57.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
▶	37.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
▶	55.5%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
✓	57.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 184 to 91 computations (50.5% saved)

simplify4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
0	15	55
1	21	51
2	31	45
3	43	45
4	51	45
5	54	45
0	54	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
(fma.f64 x x (*.f64 y y))
x
(*.f64 y y)
y

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

localize36.0ms (0.6%)

Memory

-13.9MiB live, 24.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 y y)
accuracy	40.17271593094949	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
accuracy	0.0	(*.f64 x x)
accuracy	28.453561572332482	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Samples

13.0ms

256×

valid

Compiler

Compiled 109 to 21 computations (80.7% saved)

Precisions

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

ival-add: 3.0ms (46.8% of total)

ival-mult: 3.0ms (46.8% of total)

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

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

series3.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

5 → 11

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
(*.f64 y y)
(fma.f64 x x (*.f64 y y))

Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow x 2)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))

Calls

6 calls:

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

simplify138.0ms (2.4%)

Memory

0.6MiB live, 155.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	89
1	71	73
2	186	73
3	735	73
4	2372	73
5	3465	73
6	4926	73
7	6388	73
8	7546	73
0	8229	66

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow x 2)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))

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

rewrite467.0ms (8%)

Memory

-225.8MiB live, 278.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	15	48
1	57	44
2	520	38
3	7646	38
0	8253	36

Stop Event

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

Counts

5 → 77

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
(*.f64 y y)
(fma.f64 x x (*.f64 y y))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 x x (*.f64 y y)) y) y (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 y y)))
(.f64 (/.f64 (fma.f64 x x (.f64 y y)) (+.f64 y x)) (+.f64 y x))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))))
(.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y y)))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (-.f64 x y) (+.f64 y x)))))
(.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x (.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 x x (.f64 y y)) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 x x (.f64 y y)) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))))
(.f64 (fma.f64 x x (.f64 y y)) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 18 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 18 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (neg.f64 (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 x x (.f64 y y)) y) y (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 y y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))

eval8.0ms (0.1%)

Memory: 22.5MiB live, 22.5MiB allocated
Compiler: Compiled 1 920 to 235 computations (87.8% saved)

prune8.0ms (0.1%)

Memory

-22.2MiB live, 16.8MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	88	9	97

Accuracy

100.0%

Counts

97 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.2%	(fma.f64 y (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) y) y)))) (.f64 x x))
✓	37.0%	(fma.f64 y (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (.f64 y y))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) y) (-.f64 (.f64 #s(literal 2 binary64) y) y))) (*.f64 x x))
✓	79.6%	(fma.f64 x x (*.f64 y y))
✓	99.9%	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
✓	57.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
✓	57.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	37.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
✓	55.5%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
✓	57.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 403 to 137 computations (66% saved)

regimes21.0ms (0.4%)

Memory

11.2MiB live, 50.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	x
4.0ms	y
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
4.0ms	(*.f64 x x)
4.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes17.0ms (0.3%)

Memory

-4.0MiB live, 41.6MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 x x (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))

Outputs
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))

Calls

5 calls:

4.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	(*.f64 x x)
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes63.0ms (1.1%)

Memory

-7.1MiB live, 32.3MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 x x (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))

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

Calls

5 calls:

53.0ms	x
2.0ms	y
2.0ms	(*.f64 x x)
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
90.8%	2	`x`
87.0%	2	`y`
79.6%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
90.8%	2	`(*.f64 x x)`
87.0%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 x x (*.f64 y y))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 x x (*.f64 y y))

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
90.7%	2	`x`
90.7%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))

Calls

4 calls:

2.0ms	x
2.0ms	y
2.0ms	(*.f64 x x)
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
86.3%	2	`y`
86.3%	2	`(*.f64 y y)`
80.5%	2	`x`
80.5%	2	`(*.f64 x x)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes23.0ms (0.4%)

Memory

-32.6MiB live, 7.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Calls

2 calls:

21.0ms	y
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
86.3%	2	`y`
86.3%	2	`(*.f64 y y)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))

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

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
1.0ms	(*.f64 y y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
64.3%	2	`x`
64.3%	2	`(*.f64 x x)`
55.5%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
76.4%	2	`y`
76.4%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

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

Calls

5 calls:

1.0ms	y
1.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
55.5%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
55.5%	1	`x`
55.5%	1	`(*.f64 x x)`
55.5%	1	`y`
55.5%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.418940424948554e-239	8.576058945395527e-237

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.418940424948554e-239	8.576058945395527e-237

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.596735942756729e-53	3.3568347731389904e-50

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch26.0ms (0.4%)

Memory

-22.3MiB live, 17.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	5.596735942756729e-53	3.3568347731389904e-50

Samples

19.0ms	120×	0	valid
1.0ms	4×	3	valid
0.0ms	2×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 318 to 180 computations (43.4% saved)

Precisions

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

ival-add: 16.0ms (94.3% of total)

ival-mult: 1.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch14.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.0838097945686331e+304	9.84111050174733e+305

Samples

3.0ms	68×	0	valid
2.0ms	10×	4	valid
2.0ms	11×	3	valid
1.0ms	11×	2	valid
1.0ms	12×	1	valid

Compiler

Compiled 266 to 145 computations (45.5% saved)

Precisions

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

ival-add: 3.0ms (53.3% of total)

adjust: 2.0ms (35.5% of total)

ival-mult: 1.0ms (17.8% of total)

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

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

simplify197.0ms (3.4%)

Memory

-0.3MiB live, 79.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	243
1	45	225
2	54	207
3	65	207
4	74	207
5	83	207
6	91	207
7	109	207
8	123	207
9	131	207
10	144	207
11	215	207
12	1154	207
13	2186	207
14	2858	207
15	3723	207
16	4935	207
17	6809	207
18	7266	207
19	7555	207
20	7770	207
21	7948	207

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (fma.f64 x x (.f64 y y)))
(if (<=.f64 (.f64 x x) #s(literal 733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))) (fma.f64 x x (*.f64 y y)))
(if (<=.f64 (.f64 y y) #s(literal 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)))
(if (<=.f64 (.f64 y y) #s(literal 8635607916821689/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))))
(if (<=.f64 (.f64 y y) #s(literal 959999999999999941683410405315003698563867573131263195506314070847027638049270454672957688714288743849938187333391568567556850599293058930902636688723220746398780938401473059942500184303594326960997101044660953511357409524878895935316714777882363181313219352191606951015130020561212146759190817421261799424 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (fma.f64 x x (.f64 y y)))
(if (<=.f64 (.f64 x x) #s(literal 733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))) (fma.f64 x x (*.f64 y y)))
(if (<=.f64 (.f64 y y) #s(literal 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)))
(if (<=.f64 (.f64 y y) #s(literal 8635607916821689/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))))
(if (<=.f64 (.f64 y y) #s(literal 959999999999999941683410405315003698563867573131263195506314070847027638049270454672957688714288743849938187333391568567556850599293058930902636688723220746398780938401473059942500184303594326960997101044660953511357409524878895935316714777882363181313219352191606951015130020561212146759190817421261799424 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

soundness1.4s (24.6%)

Memory

-17.5MiB live, 549.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	155
1	131	123
2	417	123
3	2284	123
0	8709	115
0	7	36
0	12	36
1	54	32
2	517	26
3	7670	26
0	8277	23
0	19	73
0	32	67
1	145	61
2	1166	61
0	8396	61
0	33	249
0	58	163
1	246	123
2	2348	64
0	13241	60
0	30	121
1	86	105
2	215	105
3	851	105
4	2006	105
5	2640	105
6	4156	105
7	5632	105
8	6621	105
9	7899	105
0	8020	95

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

Compiler

Compiled 574 to 226 computations (60.6% saved)

preprocess141.0ms (2.4%)

Memory

0.6MiB live, 113.2MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 582 to 134 computations (77% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample723.0ms (12.4%)

explain136.0ms (2.3%)

preprocess51.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize35.0ms (0.6%)

series4.0ms (0.1%)

simplify156.0ms (2.7%)

rewrite252.0ms (4.3%)

eval74.0ms (1.3%)

prune5.0ms (0.1%)

simplify4.0ms (0.1%)

localize59.0ms (1%)

series10.0ms (0.2%)

simplify179.0ms (3.1%)

rewrite235.0ms (4%)

eval149.0ms (2.6%)

prune40.0ms (0.7%)

simplify211.0ms (3.6%)

localize282.0ms (4.8%)

series15.0ms (0.3%)

simplify161.0ms (2.8%)

rewrite238.0ms (4.1%)

eval131.0ms (2.2%)

prune53.0ms (0.9%)

simplify4.0ms (0.1%)

localize36.0ms (0.6%)

series3.0ms (0.1%)

simplify138.0ms (2.4%)

rewrite467.0ms (8%)

eval8.0ms (0.1%)

prune8.0ms (0.1%)

regimes21.0ms (0.4%)

regimes17.0ms (0.3%)

regimes63.0ms (1.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes23.0ms (0.4%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch26.0ms (0.4%)

bsearch14.0ms (0.2%)

simplify197.0ms (3.4%)

soundness1.4s (24.6%)

preprocess141.0ms (2.4%)

end0.0ms (0%)

Profiling