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

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample953.0ms (23.3%)

Memory

42.9MiB live, 1 441.4MiB allocated; 271ms collecting garbage

Samples

648.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 443.0ms

ival-mult: 299.0ms (67.5% of total)

ival-add: 127.0ms (28.7% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.1% of total)

adjust: 3.0ms (0.7% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain163.0ms (4%)

Memory

-78.0MiB live, 316.1MiB allocated; 101ms 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))`
9	-	-	`(+.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 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`	nan-rescue	9	0
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	overflow	81
↳	`(*.f64 x x)`	overflow	69
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	33
↳	`(*.f64 y y)`	overflow	58
`+.f64`	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	nan-rescue	9	0
↳	`(*.f64 x x)`	overflow	69
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	33

Confusion

	Predicted +	Predicted -
+	15	0
-	0	241

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	0
-	0	0	241

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	241
1	12
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions

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

ival-mult: 13.0ms (56.6% of total)

ival-add: 9.0ms (39.2% 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)

preprocess266.0ms (6.5%)

Memory

26.2MiB live, 247.5MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	84
1	107	68
2	350	68
3	798	66
4	1657	66
5	4280	66
6	7443	66
0	9	13
0	15	13
1	38	11
2	132	11
3	393	11
4	886	11
5	2753	11
6	6453	11
0	8165	9

Stop Event

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

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(+.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)

simplify214.0ms (5.2%)

Memory

12.7MiB live, 152.8MiB allocated; 50ms 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	1	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
cost-diff	3	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	15	39
1	38	35
2	132	35
3	393	35
4	886	35
5	2753	35
6	6453	35
0	8165	32

Stop Event

1×	iter limit
1×	node limit
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))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(+.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)

localize33.0ms (0.8%)

Memory

5.1MiB live, 48.2MiB allocated; 7ms 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	1.0976521216604118	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))
accuracy	2.3906250000000004	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Samples

26.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-mult: 6.0ms (66.8% of total)

ival-add: 2.0ms (22.3% 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)

series35.0ms (0.9%)

Memory

-23.0MiB live, 32.5MiB allocated; 23ms collecting garbage

Counts

5 → 22

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	y	@	-inf	((+ (* x x) (* (* x 2) y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (* (* x 2) y) (* x 2))
2.0ms	x	@	inf	((+ (* x x) (* (* x 2) y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (* (* x 2) y) (* x 2))
1.0ms	x	@	0	((+ (* x x) (* (* x 2) y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (* (* x 2) y) (* x 2))
1.0ms	y	@	0	((+ (* x x) (* (* x 2) y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (* (* x 2) y) (* x 2))
1.0ms	x	@	-inf	((+ (* x x) (* (* x 2) y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (* (* x 2) y) (* x 2))

simplify208.0ms (5.1%)

Memory

35.4MiB live, 222.1MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	420
1	253	412
2	1070	400
3	6663	400
0	8304	354

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite60.0ms (1.5%)

Memory

2.0MiB live, 95.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	15	33
1	65	29
0	581	26

Stop Event

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

Counts

5 → 129

Calls

Call 1

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

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

eval47.0ms (1.1%)

Memory: -42.7MiB live, 56.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 2 473 to 396 computations (84% saved)

prune4.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	141	5	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	5	147

Accuracy

100.0%

Counts

147 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
▶	52.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
▶	63.9%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	61.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
▶	52.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 166 to 108 computations (34.9% saved)

simplify151.0ms (3.7%)

Memory

1.3MiB live, 236.5MiB allocated; 22ms collecting garbage

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	127
0	30	111
1	65	111
2	184	111
3	560	111
4	1112	101
5	3104	101
6	5994	101
0	8059	101

Stop Event

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

Calls

Call 1

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

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

localize50.0ms (1.2%)

Memory

15.5MiB live, 107.5MiB allocated; 8ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 2 binary64) y x)
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
accuracy	30.656986367709802	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
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	23.116517929720118	#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	24.460465118496394	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
accuracy	0.0	(*.f64 x x)
accuracy	30.661593516050928	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
accuracy	0.0	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.0	(*.f64 x x)

Samples

39.0ms

256×

valid

Compiler

Compiled 114 to 19 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 19.0ms (74.6% of total)

ival-add: 6.0ms (23.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series16.0ms (0.4%)

Memory

-22.5MiB live, 29.1MiB allocated; 13ms collecting garbage

Counts

11 → 54

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	((+ (* y (+ (* 2 x) y)) (* x x)) (+ (* 2 x) y) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))
2.0ms	y	@	inf	((+ (* y (+ (* 2 x) y)) (* x x)) (+ (* 2 x) y) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))
1.0ms	x	@	-inf	((+ (* y (+ (* 2 x) y)) (* x x)) (+ (* 2 x) y) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))
1.0ms	y	@	-inf	((+ (* y (+ (* 2 x) y)) (* x x)) (+ (* 2 x) y) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))
1.0ms	x	@	inf	((+ (* y (+ (* 2 x) y)) (* x x)) (+ (* 2 x) y) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))

simplify266.0ms (6.5%)

Memory

15.7MiB live, 297.8MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	976
1	399	960
2	1402	936
3	5815	936
0	8256	826

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

Calls

Call 1

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

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

rewrite72.0ms (1.8%)

Memory

19.5MiB live, 64.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	109
0	30	93
1	124	93
0	1043	93

Stop Event

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

Counts

11 → 236

Calls

Call 1

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

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

eval64.0ms (1.6%)

Memory: -29.5MiB live, 64.5MiB allocated; 30ms collecting garbage
Compiler: Compiled 6 636 to 741 computations (88.8% saved)

prune8.0ms (0.2%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	307	1	308
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	307	6	313

Accuracy

100.0%

Counts

313 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
▶	52.9%	(fma.f64 y #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) (.f64 x x))
✓	52.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	63.9%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	61.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	52.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 97 to 64 computations (34% saved)

simplify138.0ms (3.4%)

Memory

-22.8MiB live, 130.5MiB allocated; 25ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	13	32
1	26	32
2	69	32
3	135	32
4	242	32
5	661	32
6	3156	32
0	8062	30

Stop Event

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

Calls

Call 1

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

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

localize39.0ms (1%)

Memory

-11.5MiB live, 34.2MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) (.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	33.98058808833351	#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))

Samples

33.0ms

256×

valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 24.0ms (90.9% of total)

ival-add: 2.0ms (7.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

4 → 21

Calls

Call 1

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

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

Calls

6 calls:

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

simplify316.0ms (7.7%)

Memory

22.4MiB live, 410.1MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	384
1	248	374
2	910	366
3	4801	366
0	8070	321

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

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

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

rewrite60.0ms (1.5%)

Memory

-24.6MiB live, 165.0MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	13	29
1	52	29
0	416	27

Stop Event

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

Counts

4 → 53

Calls

Call 1

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

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

eval7.0ms (0.2%)

Memory: 20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 472 to 195 computations (86.8% saved)

prune3.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	69	6	75

Accuracy

100.0%

Counts

75 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
▶	52.9%	(fma.f64 y #s(approx (+ (* 2 x) y) (+.f64 x x)) (*.f64 x x))
✓	52.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	63.9%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	61.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	52.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 97 to 63 computations (35.1% saved)

simplify190.0ms (4.6%)

Memory

-2.3MiB live, 187.0MiB allocated; 46ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	13	31
1	26	31
2	69	31
3	135	31
4	242	31
5	663	31
6	3157	31
0	8063	29

Stop Event

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

Calls

Call 1

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

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

localize30.0ms (0.7%)

Memory

-31.8MiB live, 55.9MiB allocated; 12ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y #s(approx (+ (* 2 x) y) (+.f64 x x)) (*.f64 x x))
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 x x)
accuracy	33.98058808833351	#s(approx (+ (* 2 x) y) (+.f64 x x))

Samples

20.0ms

256×

valid

Compiler

Compiled 26 to 11 computations (57.7% saved)

Precisions

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

ival-mult: 10.0ms (73.8% of total)

ival-add: 3.0ms (22.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

4 → 21

Calls

Call 1

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

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

Calls

6 calls:

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

simplify304.0ms (7.4%)

Memory

22.7MiB live, 318.6MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	384
1	249	374
2	913	366
3	4788	366
0	8057	321

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

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

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

rewrite24.0ms (0.6%)

Memory

-6.7MiB live, 37.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	13	29
0	59	27

Stop Event

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

Counts

4 → 20

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 704 to 112 computations (84.1% saved)

prune7.0ms (0.2%)

Memory

-32.8MiB live, 11.7MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	36	6	42

Accuracy

100.0%

Counts

42 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
✓	52.9%	(fma.f64 y #s(approx (+ (* 2 x) y) (+.f64 x x)) (*.f64 x x))
✓	52.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	63.9%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	61.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	52.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 221 to 96 computations (56.6% saved)

regimes8.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
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)

regimes7.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Counts

6 → 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))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(fma.f64 y #s(approx (+ (* 2 x) y) (+.f64 x x)) (*.f64 x x))
(fma.f64 y #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) (.f64 x x))

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

Calls

3 calls:

2.0ms	y
2.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
2.0ms	x

Results

Accuracy	Segments	Branch
67.1%	3	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
87.6%	2	`x`
90.5%	2	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes10.0ms (0.2%)

Memory

-49.7MiB live, 8.6MiB allocated; 10ms collecting garbage

Counts

4 → 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))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
90.5%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

3 → 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))

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
90.2%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB 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	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
52.1%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
52.1%	1	`x`
52.1%	1	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch12.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.1336598900482857e-52	1.0072679809455709e-50

Samples

7.0ms

112×

valid

Compiler

Compiled 233 to 168 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (73% of total)

ival-add: 1.0ms (24.3% 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)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1336598900482857e-52	1.0072679809455709e-50

Compiler

Compiled 275 to 196 computations (28.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1336598900482857e-52	1.0072679809455709e-50

Compiler

Compiled 254 to 182 computations (28.3% saved)

simplify52.0ms (1.3%)

Memory

-6.7MiB live, 38.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	140
1	54	128
2	155	128
3	479	128
4	1074	104
5	4817	104

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
(if (<=.f64 y #s(literal 6402987333448277/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (fma.f64 y #s(approx (+ (* 2 x) y) (+.f64 x x)) (.f64 x x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 6402987333448277/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 6402987333448277/1684996666696914987166688442938726917102321526408785780068975640576 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
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
(if (<=.f64 y #s(literal 6402987333448277/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (fma.f64 y #s(approx (+ (* 2 x) y) (+.f64 x x)) (.f64 x x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 6402987333448277/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 6402987333448277/1684996666696914987166688442938726917102321526408785780068975640576 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))

derivations209.0ms (5.1%)

Memory

-7.4MiB live, 131.8MiB allocated; 30ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 140 to 29 computations (79.3% saved)

preprocess45.0ms (1.1%)

Memory: 4.6MiB live, 91.1MiB allocated; 21ms collecting garbage
Compiler: Compiled 350 to 106 computations (69.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample953.0ms (23.3%)

explain163.0ms (4%)

preprocess266.0ms (6.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify214.0ms (5.2%)

localize33.0ms (0.8%)

series35.0ms (0.9%)

simplify208.0ms (5.1%)

rewrite60.0ms (1.5%)

eval47.0ms (1.1%)

prune4.0ms (0.1%)

simplify151.0ms (3.7%)

localize50.0ms (1.2%)

series16.0ms (0.4%)

simplify266.0ms (6.5%)

rewrite72.0ms (1.8%)

eval64.0ms (1.6%)

prune8.0ms (0.2%)

simplify138.0ms (3.4%)

localize39.0ms (1%)

series3.0ms (0.1%)

simplify316.0ms (7.7%)

rewrite60.0ms (1.5%)

eval7.0ms (0.2%)

prune3.0ms (0.1%)

simplify190.0ms (4.6%)

localize30.0ms (0.7%)

series3.0ms (0.1%)

simplify304.0ms (7.4%)

rewrite24.0ms (0.6%)

eval4.0ms (0.1%)

prune7.0ms (0.2%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch12.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify52.0ms (1.3%)

derivations209.0ms (5.1%)

preprocess45.0ms (1.1%)

end0.0ms (0%)

Profiling