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

start0.0ms (0%)

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

analyze10.0ms (0.6%)

Memory

25.4MiB live, 25.4MiB 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 9 to 7 computations (22.2% saved)

sample564.0ms (34.1%)

Memory

-1.5MiB live, 1 012.4MiB allocated; 116ms collecting garbage

Samples

367.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-div!: 99.0ms (48.5% of total)

ival-add!: 67.0ms (32.8% of total)

ival-sub!: 37.0ms (18.1% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

explain47.0ms (2.8%)

Memory

-27.0MiB live, 114.9MiB allocated; 7ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

19.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

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

ival-div!: 3.0ms (52.3% of total)

ival-sub!: 2.0ms (34.8% of total)

ival-add!: 2.0ms (34.8% of total)

adjust: 0.0ms (0% of total)

preprocess8.0ms (0.5%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	52
1	41	52
2	69	50
3	87	50
4	117	50
5	158	50
6	176	50
7	194	50

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 14 to 10 computations (28.6% saved)

series7.0ms (0.4%)

Memory

-38.4MiB live, 12.6MiB allocated; 4ms collecting garbage

Counts

5 → 36

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite165.0ms (10%)

Memory

46.5MiB live, 279.2MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	703
0	181	646
1	1122	629
0	8307	615

Stop Event

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

Counts

41 → 63

Calls

Call 1

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

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

eval7.0ms (0.4%)

Memory: -30.0MiB live, 17.1MiB allocated; 1ms collecting garbage
Compiler: Compiled 1 166 to 267 computations (77.1% saved)

prune5.0ms (0.3%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	10	61

Accuracy

100.0%

Counts

61 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	88.2%	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
▶	51.3%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
	49.5%	(/.f64 (+.f64 x y) #s(approx (- x y) x))
	88.2%	(/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)) (-.f64 x y))
▶	51.6%	(/.f64 #s(approx (+ x y) y) (-.f64 x y))
▶	50.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)))
	52.0%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
	48.5%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
▶	50.5%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 215 to 151 computations (29.8% saved)

series13.0ms (0.8%)

Memory

-15.2MiB live, 32.1MiB allocated; 2ms collecting garbage

Counts

21 → 57

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite172.0ms (10.4%)

Memory

19.6MiB live, 271.7MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	1063
0	241	990
1	1280	981
0	8232	967

Stop Event

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

Counts

78 → 160

Calls

Call 1

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

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

eval17.0ms (1%)

Memory: 0.8MiB live, 47.8MiB allocated; 1ms collecting garbage
Compiler: Compiled 3 928 to 652 computations (83.4% saved)

prune6.0ms (0.4%)

Memory

-33.5MiB live, 13.7MiB allocated; 3ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	3	1	4
Picked	0	5	5
Done	0	1	1
Total	160	10	170

Accuracy

100.0%

Counts

170 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	88.2%	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
✓	51.3%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
▶	49.5%	(/.f64 (+.f64 x y) #s(approx (- x y) #s(approx (* (- (/ x y) 1) y) x)))
✓	51.6%	(/.f64 #s(approx (+ x y) y) (-.f64 x y))
✓	50.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)))
▶	52.0%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
▶	50.2%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) y x) x)))
▶	48.5%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) 2) 1) #s(literal 1 binary64)))
✓	50.5%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 134 to 94 computations (29.9% saved)

series10.0ms (0.6%)

Memory

26.5MiB live, 26.5MiB allocated; 0ms collecting garbage

Counts

19 → 67

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) 1 (/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) (/ (+ (* 2 y) x) x) (+ (* 2 y) x) 2 y x (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) -2 -1 (/ (+ x y) (- x y)) (+ x y) (- x y) (* (- (/ x y) 1) y))
2.0ms	y	@	-inf	((/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) 1 (/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) (/ (+ (* 2 y) x) x) (+ (* 2 y) x) 2 y x (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) -2 -1 (/ (+ x y) (- x y)) (+ x y) (- x y) (* (- (/ x y) 1) y))
1.0ms	x	@	inf	((/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) 1 (/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) (/ (+ (* 2 y) x) x) (+ (* 2 y) x) 2 y x (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) -2 -1 (/ (+ x y) (- x y)) (+ x y) (- x y) (* (- (/ x y) 1) y))
1.0ms	y	@	inf	((/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) 1 (/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) (/ (+ (* 2 y) x) x) (+ (* 2 y) x) 2 y x (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) -2 -1 (/ (+ x y) (- x y)) (+ x y) (- x y) (* (- (/ x y) 1) y))
1.0ms	x	@	0	((/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) 1 (/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) (/ (+ (* 2 y) x) x) (+ (* 2 y) x) 2 y x (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) -2 -1 (/ (+ x y) (- x y)) (+ x y) (- x y) (* (- (/ x y) 1) y))

rewrite185.0ms (11.2%)

Memory

-19.3MiB live, 301.9MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	250	1248
0	257	1165
1	1397	1150
0	8337	1120

Stop Event

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

Counts

86 → 153

Calls

Call 1

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

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

eval23.0ms (1.4%)

Memory: 9.2MiB live, 52.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 907 to 627 computations (84% saved)

prune6.0ms (0.3%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	134	10	144

Accuracy

100.0%

Counts

144 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	88.2%	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
✓	51.3%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	49.5%	(/.f64 (+.f64 x y) #s(approx (- x y) #s(approx (* (- (/ x y) 1) y) x)))
✓	51.6%	(/.f64 #s(approx (+ x y) y) (-.f64 x y))
✓	50.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)))
✓	52.0%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	50.2%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) y x) x)))
✓	48.5%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) 2) 1) #s(literal 1 binary64)))
✓	50.5%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 301 to 146 computations (51.5% saved)

regimes18.0ms (1.1%)

Memory

-8.7MiB live, 36.8MiB allocated; 6ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs
(/.f64 (+.f64 x y) (-.f64 x y))

Calls

3 calls:

10.0ms	x
4.0ms	y
3.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes10.0ms (0.6%)

Memory

26.3MiB live, 26.3MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
99.0%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`
74.3%	3	`x`
80.9%	3	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes37.0ms (2.3%)

Memory

-38.7MiB live, 14.1MiB allocated; 40ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

37.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
99.0%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
98.2%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
97.6%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
97.6%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0.1%)

Memory

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

Counts

4 → 2

Calls

Call 1

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

Outputs
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))

Calls

1 calls:

1.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
97.5%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes1.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))

Calls

1 calls:

1.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
97.5%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0.3%)

Memory

-40.3MiB live, 9.5MiB allocated; 6ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Outputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Calls

3 calls:

4.0ms	x
1.0ms	y
1.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
50.5%	1	`x`
50.5%	1	`y`
50.5%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.960331471599514	0.9999999996095985

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.960331471599514	0.9999999996095985

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.960331471599514	0.9999999996095985

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.960331471599514	0.9999999996095985

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.960331471599514	0.9999999996095985

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.960331471599514	0.9999999996095985

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch23.0ms (1.4%)

Memory

4.3MiB live, 45.8MiB allocated; 12ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-0.960331471599514	0.9999999996095985

Samples

4.0ms

240×

valid

Compiler

Compiled 280 to 250 computations (10.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

derivations247.0ms (14.9%)

Memory

32.3MiB live, 222.2MiB allocated; 55ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 255 to 47 computations (81.6% saved)

preprocess59.0ms (3.5%)

Memory: 3.3MiB live, 143.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 524 to 104 computations (80.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze10.0ms (0.6%)

sample564.0ms (34.1%)

explain47.0ms (2.8%)

preprocess8.0ms (0.5%)

series7.0ms (0.4%)

rewrite165.0ms (10%)

eval7.0ms (0.4%)

prune5.0ms (0.3%)

series13.0ms (0.8%)

rewrite172.0ms (10.4%)

eval17.0ms (1%)

prune6.0ms (0.4%)

series10.0ms (0.6%)

rewrite185.0ms (11.2%)

eval23.0ms (1.4%)

prune6.0ms (0.3%)

regimes18.0ms (1.1%)

regimes10.0ms (0.6%)

regimes37.0ms (2.3%)

regimes3.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0.1%)

regimes6.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch23.0ms (1.4%)

derivations247.0ms (14.9%)

preprocess59.0ms (3.5%)

end0.0ms (0%)

Profiling