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

start0.0ms (0%)

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

analyze12.0ms (0.6%)

Memory

20.2MiB live, 20.2MiB 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)

sample822.0ms (38.8%)

Memory

-23.1MiB live, 951.2MiB allocated; 266ms collecting garbage

Samples

536.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 279.0ms

ival-add: 134.0ms (48.1% of total)

ival-div: 95.0ms (34.1% of total)

ival-sub: 45.0ms (16.2% of total)

adjust: 2.0ms (0.7% of total)

ival-assert: 2.0ms (0.7% of total)

Bogosity

explain94.0ms (4.4%)

Memory

-5.0MiB live, 105.5MiB allocated; 41ms 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

48.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 3.0ms (30.9% of total)

ival-div: 3.0ms (30.9% of total)

ival-add: 3.0ms (30.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess36.0ms (1.7%)

Memory

-20.4MiB live, 25.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (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
0	5	7
0	8	7
1	12	7
2	13	7
0	13	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series5.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms 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
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))
1.0ms	y	@	0	((/ (+ x y) (- x y)) (+ x y) x y (- x y))

rewrite207.0ms (9.8%)

Memory

-9.9MiB live, 171.9MiB allocated; 34ms 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 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 y x))))
(/.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 (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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 y y (.f64 (neg.f64 x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (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 (-.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 x y)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.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 x y))))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 y y (.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (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 (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 -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 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x) (/.f64 y x)) #s(literal -1 binary64)) (/.f64 y x)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y 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) (- x y)) (fma.f64 (/.f64 (fma.f64 (.f64 y (.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64) (neg.f64 (-.f64 y (neg.f64 y)))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 y (neg.f64 y)) y (.f64 (.f64 y y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (neg.f64 (-.f64 y (neg.f64 y)))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #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 (*.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 1 binary64)))
#s(approx y y)
#s(approx (- x y) (fma.f64 #s(literal -1 binary64) y x))
#s(approx (/ (+ x y) (- x y)) (-.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 x y)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 x) x) y) (/.f64 x y) (/.f64 (neg.f64 x) y)) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
#s(approx (/ (+ x y) (- x y)) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 x) x) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (-.f64 (neg.f64 x) x) x) 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)) (fma.f64 (/.f64 (-.f64 x (neg.f64 x)) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (-.f64 (fma.f64 x (/.f64 (-.f64 x (neg.f64 x)) y) x) (neg.f64 x)) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (.f64 (.f64 x x) (/.f64 (-.f64 x (neg.f64 x)) y))) (*.f64 (-.f64 x (neg.f64 x)) x)) y) #s(literal -1 binary64) x) (neg.f64 x)) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #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: 14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 170 to 255 computations (78.2% saved)

prune6.0ms (0.3%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	58	8	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	9	67

Accuracy

100.0%

Counts

67 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	86.3%	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
▶	51.0%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
	51.6%	(/.f64 #s(approx (+ x y) y) (-.f64 x y))
▶	51.0%	(/.f64 #s(approx (+ x y) x) (-.f64 x y))
▶	50.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)))
	51.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
	49.7%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
▶	50.3%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 185 to 131 computations (29.2% saved)

series9.0ms (0.4%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

20 → 56

Calls

Call 1

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

Calls

6 calls:

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

rewrite211.0ms (9.9%)

Memory

-3.2MiB live, 190.9MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	1055
0	240	980
1	1282	971
0	8255	957

Stop Event

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

Counts

76 → 167

Calls

Call 1

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

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

eval69.0ms (3.3%)

Memory: -12.4MiB live, 34.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 706 to 744 computations (84.2% saved)

prune8.0ms (0.4%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	1	2	3
Picked	0	5	5
Done	0	1	1
Total	213	9	222

Accuracy

100.0%

Counts

222 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	86.3%	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
✓	51.0%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
▶	51.6%	(/.f64 #s(approx (+ x y) y) (-.f64 x y))
✓	51.0%	(/.f64 #s(approx (+ x y) x) (-.f64 x y))
✓	50.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)))
▶	51.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
▶	49.7%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) 2) 1) #s(literal 1 binary64)))
✓	50.3%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 104 to 74 computations (28.8% saved)

series29.0ms (1.4%)

Memory

-44.2MiB live, 12.9MiB allocated; 6ms collecting garbage

Counts

13 → 48

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)) (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)
x
y
#s(literal -2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
#s(approx (+ x y) 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 (+ (* (/ 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 (+ (* (/ 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 #s(hole binary64 x))
#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) (- 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 (+ (* (/ 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) (- 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) -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) (- 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 (+ (* (/ x y) -2) -1) #s(hole binary64 (/ (+ (* -2 x) (* -1 y)) y)))
#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 (+ (* (/ y x) 2) 1) #s(hole binary64 (* y (+ (* 2 (/ 1 x)) (/ 1 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
22.0ms	y	@	0	((/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) 1 (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) x y -2 -1 (/ (+ x y) (- x y)) (+ x y) (- x y))
2.0ms	x	@	0	((/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) 1 (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) x y -2 -1 (/ (+ x y) (- x y)) (+ x y) (- x y))
1.0ms	x	@	-inf	((/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) 1 (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) x y -2 -1 (/ (+ x y) (- x y)) (+ x y) (- x y))
1.0ms	y	@	-inf	((/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) 1 (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) x y -2 -1 (/ (+ x y) (- x y)) (+ x y) (- x y))
1.0ms	x	@	inf	((/ (+ x y) (- x y)) (+ (* (/ y x) 2) 1) 1 (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) x y -2 -1 (/ (+ x y) (- x y)) (+ x y) (- x y))

rewrite192.0ms (9.1%)

Memory

42.1MiB live, 172.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	927
0	217	858
1	1288	847
0	8345	821

Stop Event

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

Counts

61 → 90

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

eval57.0ms (2.7%)

Memory: -45.8MiB live, 17.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 1 803 to 344 computations (80.9% saved)

prune5.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	93	9	102

Accuracy

100.0%

Counts

102 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	86.3%	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
✓	51.0%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	51.6%	(/.f64 #s(approx (+ x y) y) (-.f64 x y))
✓	51.0%	(/.f64 #s(approx (+ x y) x) (-.f64 x y))
✓	50.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)))
✓	51.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	49.7%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) 2) 1) #s(literal 1 binary64)))
✓	50.3%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 217 to 112 computations (48.4% saved)

regimes10.0ms (0.5%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(/.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)

regimes26.0ms (1.2%)

Memory

-29.3MiB live, 17.1MiB allocated; 3ms 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) x) (-.f64 x y))
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#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:

19.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.2%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`
76.2%	3	`x`
74.6%	3	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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) x) (-.f64 x y))
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#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)))
(/.f64 #s(approx (+ x y) x) (-.f64 x y))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.8%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB 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) x) (-.f64 x y))
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.5%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.5%	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) x) (-.f64 x y))

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.5%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes1.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB 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
98.5%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory

10.3MiB live, 10.2MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
50.3%	1	`y`
50.3%	1	`x`
50.3%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 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	-0.9818157009087102	1.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9818157009087102	1.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9818157009087102	1.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9818157009087102	1.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9818157009087102	1.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch17.0ms (0.8%)

Memory

-14.8MiB live, 30.2MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-0.9818157009087102	1.0

Samples

8.0ms

240×

valid

Compiler

Compiled 280 to 250 computations (10.7% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

simplify33.0ms (1.5%)

Memory

-18.5MiB live, 25.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	200
1	48	200
2	54	200
3	74	200
4	224	200
5	2152	200

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 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 y x) #s(literal 2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) (/.f64 #s(approx (+ x y) x) (-.f64 x y)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (/.f64 #s(approx (+ x y) x) (-.f64 x y)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (+ x y) y) (-.f64 x y)) (/.f64 #s(approx (+ x y) x) (-.f64 x y)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (/.f64 #s(approx (+ x y) x) (-.f64 x y)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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(literal -1 binary64))

Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 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 y x) #s(literal 2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) (/.f64 #s(approx (+ x y) x) (-.f64 x y)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (/.f64 #s(approx (+ x y) x) (-.f64 x y)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (+ x y) y) (-.f64 x y)) (/.f64 #s(approx (+ x y) x) (-.f64 x y)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (/.f64 #s(approx (+ x y) x) (-.f64 x y)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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(literal -1 binary64))

derivations191.0ms (9%)

Memory

-2.5MiB live, 241.1MiB allocated; 19ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 200 to 37 computations (81.5% saved)

preprocess60.0ms (2.8%)

Memory: 43.0MiB live, 88.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 440 to 100 computations (77.3% saved)

end0.0ms (0%)

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

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
0	5	7
0	8	7
1	12	7
2	13	7
0	13	7

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
0	5	7
0	8	7
1	12	7
2	13	7
0	13	7

start0.0ms (0%)

analyze12.0ms (0.6%)

sample822.0ms (38.8%)

explain94.0ms (4.4%)

preprocess36.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.2%)

rewrite207.0ms (9.8%)

eval7.0ms (0.4%)

prune6.0ms (0.3%)

series9.0ms (0.4%)

rewrite211.0ms (9.9%)

eval69.0ms (3.3%)

prune8.0ms (0.4%)

series29.0ms (1.4%)

rewrite192.0ms (9.1%)

eval57.0ms (2.7%)

prune5.0ms (0.3%)

regimes10.0ms (0.5%)

regimes26.0ms (1.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.8%)

simplify33.0ms (1.5%)

derivations191.0ms (9%)

preprocess60.0ms (2.8%)

end0.0ms (0%)

Profiling

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
0	5	7
0	8	7
1	12	7
2	13	7
0	13	7