Metrics for Examples.Basics.ProofTests:f4 from sbv-4.4

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (22.8%)

Memory

22.5MiB live, 1 505.6MiB allocated; 340ms collecting garbage

Samples

946.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 579.0ms

ival-mult: 325.0ms (56.1% of total)

ival-add: 237.0ms (40.9% of total)

exact: 6.0ms (1% of total)

ival-true: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain148.0ms (2.6%)

Memory

-40.5MiB live, 263.7MiB allocated; 30ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
9	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`
6	-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
0	-	-	`(*.f64 x #s(literal 2 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	nan-rescue	9	0
↳	`(*.f64 x x)`	overflow	59
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	29
`+.f64`	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`	nan-rescue	6	0
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	overflow	65
↳	`(*.f64 x x)`	overflow	59
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	29
↳	`(*.f64 y y)`	overflow	55

Confusion

	Predicted +	Predicted -
+	12	0
-	0	244

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	12	0	0
-	0	0	244

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	244
1	9
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions

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

ival-mult: 13.0ms (70% of total)

ival-add: 4.0ms (21.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess172.0ms (3.1%)

Memory

26.8MiB live, 121.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	71
1	95	57
2	314	57
3	611	55
4	1031	55
5	1555	35
6	2248	35
7	3008	35
8	3674	35
9	3996	35
10	4004	35
11	4004	35
12	4046	35
13	4088	35
14	4102	35
0	9	13
0	15	13
1	38	11
2	127	11
3	330	11
4	634	11
5	971	7
6	1297	7
7	1855	7
8	2503	7
9	2794	7
10	3048	7
11	3066	7
0	3066	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify78.0ms (1.4%)

Memory

-11.1MiB live, 65.3MiB allocated; 27ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	15	39
1	38	35
2	127	35
3	330	35
4	634	35
5	971	31
6	1297	31
7	1855	31
8	2503	31
9	2794	31
10	3048	31
11	3066	31
0	3066	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (1.1%)

Memory

-2.5MiB live, 98.5MiB allocated; 37ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	1.1992187500000002	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
accuracy	1.6992146216604118	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Samples

37.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 19.0ms (87.9% of total)

ival-add: 2.0ms (9.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

5 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

simplify175.0ms (3.1%)

Memory

-3.4MiB live, 179.9MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	177
1	194	169
2	746	157
3	3571	149
0	8118	140

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite224.0ms (4%)

Memory

16.0MiB live, 302.4MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	15	33
1	65	29
2	568	29
0	9286	26

Stop Event

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

Counts

5 → 255

Calls

Call 1

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

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

eval72.0ms (1.3%)

Memory: 10.6MiB live, 108.0MiB allocated; 13ms collecting garbage
Compiler: Compiled 8 056 to 793 computations (90.2% saved)

prune8.0ms (0.1%)

Memory

-14.3MiB live, 30.1MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	263	5	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	264	5	269

Accuracy

100.0%

Counts

269 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
▶	97.7%	(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
▶	54.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	100.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
▶	54.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 152 to 96 computations (36.8% saved)

simplify61.0ms (1.1%)

Memory

14.3MiB live, 60.6MiB allocated; 3ms collecting garbage

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	131
0	34	115
1	87	115
2	250	109
3	666	109
4	1084	109
5	1379	109
6	1892	109
7	2514	109
8	2847	109
9	3099	109
10	3185	109
0	3185	109

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize62.0ms (1.1%)

Memory

-13.3MiB live, 130.9MiB allocated; 15ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y #s(literal 2 binary64) x)
accuracy	0.0078125	(*.f64 x (fma.f64 y #s(literal 2 binary64) x))
accuracy	1.4999834856333614	(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.00390625	(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
accuracy	1.4999834856333614	(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
accuracy	29.350630068486694	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
accuracy	0.0	(*.f64 y y)
accuracy	29.22738397532703	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
accuracy	0.015625	(*.f64 (+.f64 y x) (+.f64 y x))

Samples

50.0ms

256×

valid

Compiler

Compiled 124 to 22 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 21.0ms (64.8% of total)

ival-add: 11.0ms (33.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Counts

13 → 38

Calls

Call 1

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

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

Calls

6 calls:

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

simplify266.0ms (4.8%)

Memory

-7.4MiB live, 287.2MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	326
1	317	318
2	1075	302
3	4184	302
0	8302	282

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 36

Calls

Call 1

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

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

rewrite356.0ms (6.4%)

Memory

-19.9MiB live, 255.2MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
0	34	99
1	169	99
2	1429	99
0	8715	99

Stop Event

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

Counts

13 → 872

Calls

Call 1

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

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

eval168.0ms (3%)

Memory: 3.5MiB live, 189.4MiB allocated; 40ms collecting garbage
Compiler: Compiled 28 074 to 2 601 computations (90.7% saved)

prune16.0ms (0.3%)

Memory

13.0MiB live, 56.8MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	808	3	811
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	809	7	816

Accuracy

100.0%

Counts

816 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.7%	(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
▶	51.8%	(fma.f64 y y (.f64 x #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64)))))
▶	56.5%	(fma.f64 x x (.f64 y #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x))))
✓	54.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	100.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
✓	54.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
▶	59.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 112 to 73 computations (34.8% saved)

simplify70.0ms (1.3%)

Memory

-6.5MiB live, 51.0MiB allocated; 16ms collecting garbage

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	101
0	30	101
1	66	99
2	185	99
3	480	99
4	851	95
5	1200	95
6	1581	95
7	2206	95
8	2808	95
9	3072	95
10	3256	95
0	3256	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (1.5%)

Memory

24.0MiB live, 113.3MiB allocated; 9ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	0.0078125	(.f64 x #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))))
accuracy	1.4999834856333614	(fma.f64 y y (.f64 x #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64)))))
accuracy	33.15882431154781	#s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64)))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(.f64 y #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)))
accuracy	1.4999834856333614	(fma.f64 x x (.f64 y #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x))))
accuracy	29.743357149936713	#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	26.2004645741582	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Samples

73.0ms

256×

valid

Compiler

Compiled 77 to 19 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 32.0ms (53.5% of total)

ival-mult: 27.0ms (45.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

-21.7MiB live, 23.1MiB allocated; 4ms collecting garbage

Counts

10 → 33

Calls

Call 1

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

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

Calls

6 calls:

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

simplify345.0ms (6.2%)

Memory

-14.5MiB live, 345.7MiB allocated; 116ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	291
1	289	283
2	1014	267
3	4112	267
0	8173	249

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

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

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

rewrite285.0ms (5.1%)

Memory

0.8MiB live, 340.1MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	94
0	30	94
1	135	92
2	1144	92
0	8721	84

Stop Event

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

Counts

10 → 172

Calls

Call 1

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

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

eval36.0ms (0.6%)

Memory: 11.5MiB live, 57.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 7 680 to 671 computations (91.3% saved)

prune35.0ms (0.6%)

Memory

-29.0MiB live, 15.9MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	197	7	204

Accuracy

100.0%

Counts

204 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.7%	(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
▶	51.8%	(fma.f64 y y (.f64 x #s(approx (+ ( y 2) x) (+.f64 y y))))
▶	56.5%	(fma.f64 x x (.f64 y #s(approx (+ ( 2 x) y) (+.f64 x x))))
✓	54.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	100.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
✓	54.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	59.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 112 to 71 computations (36.6% saved)

simplify9.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	78
0	23	78
1	47	78
2	117	78
3	206	78
4	282	78
5	309	78
6	313	78
7	317	78
0	317	72

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize116.0ms (2.1%)

Memory

-1.5MiB live, 103.3MiB allocated; 28ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y y)
accuracy	0.0078125	(.f64 x #s(approx (+ ( y 2) x) (+.f64 y y)))
accuracy	1.4999834856333614	(fma.f64 y y (.f64 x #s(approx (+ ( y 2) x) (+.f64 y y))))
accuracy	33.15882431154781	#s(approx (+ (* y 2) x) (+.f64 y y))
accuracy	0.0	(+.f64 x x)
accuracy	0.00390625	(.f64 y #s(approx (+ ( 2 x) y) (+.f64 x x)))
accuracy	1.4999834856333614	(fma.f64 x x (.f64 y #s(approx (+ ( 2 x) y) (+.f64 x x))))
accuracy	29.743357149936713	#s(approx (+ (* 2 x) y) (+.f64 x x))

Samples

107.0ms

256×

valid

Compiler

Compiled 58 to 17 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 80.0ms (81.9% of total)

ival-add: 17.0ms (17.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

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

Counts

8 → 33

Calls

Call 1

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

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

Calls

6 calls:

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

simplify284.0ms (5.1%)

Memory

-14.9MiB live, 264.3MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	291
1	289	283
2	1014	267
3	4109	267
0	8819	249

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

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

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

rewrite501.0ms (9%)

Memory

11.4MiB live, 649.9MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
0	23	74
1	108	74
2	1091	74
0	8413	68

Stop Event

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

Counts

8 → 1 240

Calls

Call 1

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

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

eval118.0ms (2.1%)

Memory: 25.4MiB live, 153.3MiB allocated; 23ms collecting garbage
Compiler: Compiled 23 596 to 3 420 computations (85.5% saved)

prune41.0ms (0.7%)

Memory

-10.7MiB live, 43.9MiB allocated; 14ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	704	0	704
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	704	7	711

Accuracy

100.0%

Counts

711 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.7%	(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
✓	51.8%	(fma.f64 y y (.f64 x #s(approx (+ ( y 2) x) (+.f64 y y))))
✓	56.5%	(fma.f64 x x (.f64 y #s(approx (+ ( 2 x) y) (+.f64 x x))))
✓	54.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	100.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
✓	54.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	59.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 274 to 120 computations (56.2% saved)

regimes26.0ms (0.5%)

Memory

-22.4MiB live, 23.3MiB allocated; 5ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Results

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.8%	2	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
88.4%	2	`x`
88.4%	2	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes3.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.1%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
59.1%	1	`y`
59.1%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch17.0ms (0.3%)

Memory

-17.8MiB live, 28.4MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-4.187165419719317e-80	-5.163396968826731e-83

Samples

10.0ms

128×

valid

Compiler

Compiled 288 to 206 computations (28.5% saved)

Precisions

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

ival-mult: 3.0ms (63.5% of total)

ival-add: 1.0ms (21.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify73.0ms (1.3%)

Memory

9.6MiB live, 53.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	76
1	42	68
2	130	68
3	338	68
4	661	68
5	1019	52
6	1497	52
7	3848	52
8	6120	52

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -450559765389567/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))

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

Outputs

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

(if (<=.f64 x #s(literal -450559765389567/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))

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

derivations318.0ms (5.7%)

Memory

-27.3MiB live, 365.4MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	326
1	317	318
2	1075	302
3	4184	302
0	8302	282
0	56	177
1	194	169
2	746	157
3	3571	149
0	8118	140

Stop Event

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

Compiler

Compiled 76 to 19 computations (75% saved)

preprocess47.0ms (0.8%)

Memory: 11.2MiB live, 106.7MiB allocated; 9ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 246 to 98 computations (60.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (22.8%)

explain148.0ms (2.6%)

preprocess172.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify78.0ms (1.4%)

localize63.0ms (1.1%)

series7.0ms (0.1%)

simplify175.0ms (3.1%)

rewrite224.0ms (4%)

eval72.0ms (1.3%)

prune8.0ms (0.1%)

simplify61.0ms (1.1%)

localize62.0ms (1.1%)

series9.0ms (0.2%)

simplify266.0ms (4.8%)

rewrite356.0ms (6.4%)

eval168.0ms (3%)

prune16.0ms (0.3%)

simplify70.0ms (1.3%)

localize83.0ms (1.5%)

series8.0ms (0.2%)

simplify345.0ms (6.2%)

rewrite285.0ms (5.1%)

eval36.0ms (0.6%)

prune35.0ms (0.6%)

simplify9.0ms (0.2%)

localize116.0ms (2.1%)

series5.0ms (0.1%)

simplify284.0ms (5.1%)

rewrite501.0ms (9%)

eval118.0ms (2.1%)

prune41.0ms (0.7%)

regimes26.0ms (0.5%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch17.0ms (0.3%)

simplify73.0ms (1.3%)

derivations318.0ms (5.7%)

preprocess47.0ms (0.8%)

end0.0ms (0%)

Profiling