Metrics for Linear.Projection:perspective from linear-1.19.1.3, B

start0.0ms (0%)

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

analyze11.0ms (0.7%)

Memory

19.0MiB live, 19.0MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample758.0ms (47.8%)

Memory

3.6MiB live, 1 032.3MiB allocated; 278ms collecting garbage

Samples

558.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

ival-mult!: 133.0ms (50.2% of total)

ival-sub!: 96.0ms (36.2% of total)

ival-div!: 35.0ms (13.2% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

explain106.0ms (6.7%)

Memory

16.2MiB live, 114.4MiB allocated; 7ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
62	-	2	(5.73047818915577e-180 -1.3934020041724853e-133)	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	33	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	33
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	27	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	27

Confusion

	Predicted +	Predicted -
+	60	2
-	0	194

Precision

1.0

Recall

0.967741935483871

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	2
-	0	0	194

Precision?

1.0

Recall?

0.967741935483871

Freqs

test

number	freq
0	196
1	60

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult!: 4.0ms (48.8% of total)

ival-sub!: 2.0ms (24.4% of total)

ival-div!: 2.0ms (24.4% of total)

adjust: 0.0ms (0% of total)

preprocess40.0ms (2.5%)

Memory

-33.4MiB live, 13.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	56	58
2	186	58
3	783	58
4	1977	54
5	6162	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.6%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series9.0ms (0.5%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Counts

7 → 30

Calls

Call 1

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

Outputs
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* -2 x)))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* x (- (* -2 (/ x y)) 2))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* 2 y)))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* y (+ 2 (* 2 (/ y x))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))

Calls

6 calls:

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

rewrite165.0ms (10.4%)

Memory

34.3MiB live, 260.2MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	657
0	178	607
1	997	588
0	8215	574

Stop Event

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

Counts

37 → 74

Calls

Call 1

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

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

eval9.0ms (0.6%)

Memory: -26.3MiB live, 19.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 191 to 275 computations (76.9% saved)

prune4.0ms (0.2%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Accuracy

100.0%

Counts

71 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.6%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
▶	51.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
▶	49.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
▶	52.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
▶	50.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 142 to 100 computations (29.6% saved)

series23.0ms (1.5%)

Memory

-18.3MiB live, 41.8MiB allocated; 16ms collecting garbage

Counts

20 → 75

Calls

Call 1

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

Outputs
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (* -2 x)))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (* x (- (* -2 (/ x y)) 2))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))))
#s(approx (* (+ x x) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* -2 x)))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* x (- (* -2 (/ x y)) 2))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (* (+ (* (/ x y) -2) -2) x) #s(hole binary64 (* -2 x)))
#s(approx (* (+ (* (/ x y) -2) -2) x) #s(hole binary64 (* x (- (* -2 (/ x y)) 2))))
#s(approx (+ (* (/ x y) -2) -2) #s(hole binary64 -2))
#s(approx (+ (* (/ x y) -2) -2) #s(hole binary64 (- (* -2 (/ x y)) 2)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* (+ (* (/ y x) 2) 2) y) #s(hole binary64 (* 2 (/ (pow y 2) x))))
#s(approx (* (+ (* (/ y x) 2) 2) y) #s(hole binary64 (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)))
#s(approx (+ (* (/ y x) 2) 2) #s(hole binary64 (* 2 (/ y x))))
#s(approx (+ (* (/ y x) 2) 2) #s(hole binary64 (/ (+ (* 2 x) (* 2 y)) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (* 2 y)))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* 2 y)))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))))
#s(approx (* (+ (* (/ x y) -2) -2) x) #s(hole binary64 (* -2 (/ (pow x 2) y))))
#s(approx (* (+ (* (/ x y) -2) -2) x) #s(hole binary64 (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))))
#s(approx (+ (* (/ x y) -2) -2) #s(hole binary64 (* -2 (/ x y))))
#s(approx (+ (* (/ x y) -2) -2) #s(hole binary64 (* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))))
#s(approx (* (+ (* (/ y x) 2) 2) y) #s(hole binary64 (* 2 y)))
#s(approx (* (+ (* (/ y x) 2) 2) y) #s(hole binary64 (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
#s(approx (+ (* (/ y x) 2) 2) #s(hole binary64 2))
#s(approx (+ (* (/ y x) 2) 2) #s(hole binary64 (+ 2 (* 2 (/ y x)))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))))
#s(approx (+ (* (/ x y) -2) -2) #s(hole binary64 (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (* y (+ 2 (* 2 (/ y x))))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* y (+ 2 (* 2 (/ y x))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (* (+ (* (/ x y) -2) -2) x) #s(hole binary64 (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)))
#s(approx (+ (* (/ x y) -2) -2) #s(hole binary64 (/ (+ (* -2 x) (* -2 y)) y)))
#s(approx (* (+ (* (/ y x) 2) 2) y) #s(hole binary64 (* y (+ 2 (* 2 (/ y x))))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))))
#s(approx (* (+ (* (/ x y) -2) -2) x) #s(hole binary64 (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
#s(approx (* (+ (* (/ y x) 2) 2) y) #s(hole binary64 (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))))
#s(approx (+ (* (/ y x) 2) 2) #s(hole binary64 (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))))
#s(approx (/ (* (+ x x) y) (- x y)) #s(hole binary64 (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	y	@	0	((/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) x y (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) -2 (/ (* (* x 2) y) (- x y)) (* y 2) 2 (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) 2) 2) y) (+ (* (/ y x) 2) 2) (/ y x))
3.0ms	x	@	0	((/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) x y (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) -2 (/ (* (* x 2) y) (- x y)) (* y 2) 2 (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) 2) 2) y) (+ (* (/ y x) 2) 2) (/ y x))
3.0ms	x	@	-inf	((/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) x y (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) -2 (/ (* (* x 2) y) (- x y)) (* y 2) 2 (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) 2) 2) y) (+ (* (/ y x) 2) 2) (/ y x))
2.0ms	y	@	-inf	((/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) x y (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) -2 (/ (* (* x 2) y) (- x y)) (* y 2) 2 (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) 2) 2) y) (+ (* (/ y x) 2) 2) (/ y x))
2.0ms	x	@	inf	((/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) x y (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) -2 (/ (* (* x 2) y) (- x y)) (* y 2) 2 (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) 2) 2) y) (+ (* (/ y x) 2) 2) (/ y x))

rewrite168.0ms (10.6%)

Memory

23.6MiB live, 254.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	1708
0	275	1573
1	1291	1571
0	8327	1535

Stop Event

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

Counts

95 → 191

Calls

Call 1

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

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

eval18.0ms (1.1%)

Memory: -9.2MiB live, 37.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 916 to 699 computations (82.2% saved)

prune5.0ms (0.3%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	165	5	170

Accuracy

100.0%

Counts

170 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.6%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
▶	52.2%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	51.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
✓	49.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	50.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 71 to 49 computations (31% saved)

series2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

3 → 20

Calls

Call 1

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

Outputs
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* -2 x)))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* x (- (* -2 (/ x y)) 2))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* 2 y)))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* y (+ 2 (* 2 (/ y x))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))))
#s(approx (/ (* (* x 2) y) (- x y)) #s(hole binary64 (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))))

Calls

6 calls:

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

rewrite44.0ms (2.8%)

Memory

1.7MiB live, 48.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	557
0	146	513
0	870	497

Stop Event

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

Counts

23 → 27

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 559 to 135 computations (75.8% saved)

prune5.0ms (0.3%)

Memory

-47.1MiB live, 6.5MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	23	5	28

Accuracy

100.0%

Counts

28 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.6%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
✓	52.2%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	51.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
✓	49.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	50.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 164 to 79 computations (51.8% saved)

regimes11.0ms (0.7%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Counts

7 → 5

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
2.0ms	x
2.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
89.0%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
88.2%	5	`x`
89.3%	5	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.4%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
78.3%	3	`x`
60.8%	4	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
78.5%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.3%)

Memory

-37.2MiB live, 9.9MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
1.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
1.0ms	y

Results

Accuracy	Segments	Branch
52.2%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
52.2%	1	`x`
52.2%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch43.0ms (2.7%)

Memory

32.6MiB live, 79.1MiB allocated; 2ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.9648754457975708e+203	2.248748821104788e+213
9.0ms	4.064558150042731e-197	4.585145304475532e-195
10.0ms	-1.3934020041724853e-133	-1.5958396572579033e-139
9.0ms	-1.8368926987308766e+133	-8.022205803278464e+129

Samples

19.0ms

544×

valid

Compiler

Compiled 760 to 608 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult!: 5.0ms (59.6% of total)

ival-div!: 2.0ms (23.8% of total)

ival-sub!: 1.0ms (11.9% of total)

adjust: 0.0ms (0% of total)

bsearch20.0ms (1.3%)

Memory

-13.3MiB live, 33.3MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	9.998655254060429e-88	7.663632037168243e-84
9.0ms	-8.840416872160363e+88	-4.416836334876691e+87

Samples

10.0ms

240×

valid

Compiler

Compiled 402 to 327 computations (18.7% saved)

Precisions

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

ival-mult!: 3.0ms (61.9% of total)

ival-sub!: 1.0ms (20.6% of total)

ival-div!: 1.0ms (20.6% of total)

adjust: 0.0ms (0% of total)

derivations109.0ms (6.9%)

Memory

22.5MiB live, 118.3MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 133 to 34 computations (74.4% saved)

preprocess25.0ms (1.6%)

Memory: -37.0MiB live, 56.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 284 to 82 computations (71.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze11.0ms (0.7%)

sample758.0ms (47.8%)

explain106.0ms (6.7%)

preprocess40.0ms (2.5%)

series9.0ms (0.5%)

rewrite165.0ms (10.4%)

eval9.0ms (0.6%)

prune4.0ms (0.2%)

series23.0ms (1.5%)

rewrite168.0ms (10.6%)

eval18.0ms (1.1%)

prune5.0ms (0.3%)

series2.0ms (0.1%)

rewrite44.0ms (2.8%)

eval3.0ms (0.2%)

prune5.0ms (0.3%)

regimes11.0ms (0.7%)

regimes6.0ms (0.4%)

regimes4.0ms (0.3%)

bsearch43.0ms (2.7%)

bsearch20.0ms (1.3%)

derivations109.0ms (6.9%)

preprocess25.0ms (1.6%)

end0.0ms (0%)

Profiling