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

1.0MiB live, 1.0MiB 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)

sample895.0ms (45%)

Memory

66.3MiB live, 1 238.7MiB allocated; 390ms collecting garbage

Samples

476.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-mult!: 176.0ms (75.3% of total)

ival-add!: 57.0ms (24.4% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain121.0ms (6.1%)

Memory

-6.3MiB live, 138.1MiB allocated; 29ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	nan-rescue	13	0
↳	`(*.f64 x x)`	overflow	65
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	30
`+.f64`	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`	nan-rescue	6	0
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	overflow	71
↳	`(*.f64 x x)`	overflow	65
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	30
↳	`(*.f64 y y)`	overflow	65

Confusion

	Predicted +	Predicted -
+	18	0
-	0	238

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	18	0	0
-	0	0	238

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	238
1	17
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult!: 9.0ms (78.6% of total)

ival-add!: 2.0ms (17.5% of total)

adjust: 0.0ms (0% of total)

preprocess60.0ms (3%)

Memory

-39.2MiB live, 11.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 3 (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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.0%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Symmetry

(sort x y)

Compiler

Compiled 26 to 18 computations (30.8% saved)

series9.0ms (0.5%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Counts

9 → 25

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

Calls

6 calls:

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

rewrite145.0ms (7.3%)

Memory

35.6MiB live, 170.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	524
0	102	470
1	505	461
0	4885	414

Stop Event

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

Counts

34 → 303

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

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

eval40.0ms (2%)

Memory: -27.5MiB live, 72.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 5 200 to 767 computations (85.3% saved)

prune5.0ms (0.3%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	303	4	307
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	304	4	308

Accuracy

100.0%

Counts

308 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
▶	58.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	59.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
▶	54.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 63 to 41 computations (34.9% saved)

series13.0ms (0.6%)

Memory

-28.3MiB live, 17.4MiB allocated; 5ms collecting garbage

Counts

12 → 49

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) y (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) 2 (+ (* (+ (* y 2) x) x) (* y y)) (+ (* y 2) x))
1.0ms	x	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) y (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) 2 (+ (* (+ (* y 2) x) x) (* y y)) (+ (* y 2) x))
1.0ms	y	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) y (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) 2 (+ (* (+ (* y 2) x) x) (* y y)) (+ (* y 2) x))
1.0ms	x	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) y (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) 2 (+ (* (+ (* y 2) x) x) (* y y)) (+ (* y 2) x))
1.0ms	x	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) y (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) 2 (+ (* (+ (* y 2) x) x) (* y y)) (+ (* y 2) x))

rewrite166.0ms (8.4%)

Memory

13.2MiB live, 199.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	964
0	154	862
1	716	845
0	6324	826

Stop Event

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

Counts

61 → 296

Calls

Call 1

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

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

eval34.0ms (1.7%)

Memory: 3.8MiB live, 48.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 656 to 783 computations (88.2% saved)

prune8.0ms (0.4%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	326	2	328
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	327	5	332

Accuracy

100.0%

Counts

332 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
▶	59.5%	(fma.f64 #s(approx (+ (* y 2) x) (.f64 y #s(literal 2 binary64))) x (.f64 y y))
▶	58.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 (+.f64 y x) x) y))
✓	59.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	54.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 78 to 51 computations (34.6% saved)

series6.0ms (0.3%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

11 → 56

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite230.0ms (11.6%)

Memory

-25.3MiB live, 219.5MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	1060
0	174	1004
1	821	987
0	7391	874

Stop Event

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

Counts

67 → 227

Calls

Call 1

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

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

eval24.0ms (1.2%)

Memory: 18.1MiB live, 63.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 578 to 695 computations (87.5% saved)

prune8.0ms (0.4%)

Memory

-28.0MiB live, 18.9MiB allocated; 2ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	219	2	221
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	220	6	226

Accuracy

100.0%

Counts

226 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
▶	59.5%	(fma.f64 #s(approx (+ (* y 2) x) (+.f64 y y)) x (*.f64 y y))
✓	58.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 (+.f64 y x) x) y))
▶	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 #s(approx (+ y x) y) x) y))
✓	59.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	54.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 101 to 64 computations (36.6% saved)

series6.0ms (0.3%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Counts

10 → 56

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite44.0ms (2.2%)

Memory

23.1MiB live, 68.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	1067
0	172	1011
0	836	905

Stop Event

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

Counts

66 → 89

Calls

Call 1

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

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

eval15.0ms (0.7%)

Memory: -31.1MiB live, 23.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 905 to 281 computations (85.2% saved)

prune5.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	85	6	91

Accuracy

100.0%

Counts

91 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
✓	59.5%	(fma.f64 #s(approx (+ (* y 2) x) (+.f64 y y)) x (*.f64 y y))
✓	58.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 (+.f64 y x) x) y))
✓	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 #s(approx (+ y x) y) x) y))
✓	59.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	54.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 249 to 104 computations (58.2% saved)

regimes9.0ms (0.5%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

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)

regimes8.0ms (0.4%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.6%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
87.7%	2	`x`
88.2%	2	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes35.0ms (1.8%)

Memory

-39.7MiB live, 7.3MiB allocated; 2ms 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:

32.0ms	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
54.8%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
54.8%	1	`x`
54.8%	1	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch10.0ms (0.5%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	9.699963326376298e-151	2.4703599112549005e-148

Samples

5.0ms

112×

valid

Compiler

Compiled 254 to 182 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 2.0ms (81.9% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations68.0ms (3.4%)

Memory

15.0MiB live, 61.6MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 64 to 19 computations (70.3% saved)

preprocess25.0ms (1.2%)

Memory: 0.6MiB live, 44.0MiB allocated; 5ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 308 to 140 computations (54.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample895.0ms (45%)

explain121.0ms (6.1%)

preprocess60.0ms (3%)

series9.0ms (0.5%)

rewrite145.0ms (7.3%)

eval40.0ms (2%)

prune5.0ms (0.3%)

series13.0ms (0.6%)

rewrite166.0ms (8.4%)

eval34.0ms (1.7%)

prune8.0ms (0.4%)

series6.0ms (0.3%)

rewrite230.0ms (11.6%)

eval24.0ms (1.2%)

prune8.0ms (0.4%)

series6.0ms (0.3%)

rewrite44.0ms (2.2%)

eval15.0ms (0.7%)

prune5.0ms (0.2%)

regimes9.0ms (0.5%)

regimes8.0ms (0.4%)

regimes35.0ms (1.8%)

bsearch10.0ms (0.5%)

derivations68.0ms (3.4%)

preprocess25.0ms (1.2%)

end0.0ms (0%)

Profiling