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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated

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)

sample1.3s (19.4%)

Memory

-29.0MiB live, 783.6MiB allocated

Samples

912.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

ival-sub: 176.0ms (46.5% of total)

ival-add: 123.0ms (32.5% of total)

ival-div: 69.0ms (18.2% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain233.0ms (3.4%)

Memory

-0.6MiB live, 86.2MiB allocated

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

45.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 27.0ms (80.6% of total)

ival-sub: 3.0ms (9% of total)

ival-add: 3.0ms (9% of total)

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

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

preprocess66.0ms (0.9%)

Memory

-1.1MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	41	37
2	96	35
3	255	35
4	656	35
5	1397	35
6	1434	35
7	1438	35
8	1506	35
9	1563	35
0	5	7
0	8	7
1	11	7
2	16	7
3	22	7
4	31	7
5	54	7
6	90	7
7	132	7
8	221	7
9	448	7
10	852	7
11	979	7
12	981	7
13	1019	7
14	1048	7
0	1048	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify21.0ms (0.3%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) (-.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	11	15
2	16	15
3	22	15
4	31	15
5	54	15
6	90	15
7	132	15
8	221	15
9	448	15
10	852	15
11	979	15
12	981	15
13	1019	15
14	1048	15
0	1048	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (0.8%)

Memory

-19.4MiB live, 16.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x y)
accuracy	0.03972626953688403	(/.f64 (+.f64 x y) (-.f64 x y))

Samples

53.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sub: 41.0ms (92.8% of total)

ival-div: 2.0ms (4.5% of total)

ival-add: 1.0ms (2.3% of total)

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

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

series4.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

3 → 33

Calls

Call 1

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

Outputs
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
y
(+ x y)
(* -1 y)
(- x y)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ x (* -1 y))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(* y (- (/ x y) 1))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -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))
1.0ms	y	@	inf	((/ (+ x y) (- x y)) (+ x y) (- x y))
1.0ms	y	@	-inf	((/ (+ x y) (- x y)) (+ x y) (- x y))
1.0ms	x	@	-inf	((/ (+ x y) (- x y)) (+ x y) (- x y))
0.0ms	x	@	0	((/ (+ x y) (- x y)) (+ x y) (- x y))

simplify145.0ms (2.1%)

Memory

15.2MiB live, 98.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	382
1	432	339
2	1267	298
3	5358	280
0	8369	246

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

Inputs
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
y
(+ x y)
(* -1 y)
(- x y)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ x (* -1 y))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(* y (- (/ x y) 1))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite169.0ms (2.4%)

Memory

-1.1MiB live, 271.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	36	13
2	275	13
3	4537	13
0	9104	13

Stop Event

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

Counts

3 → 463

Calls

Call 1

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

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

eval50.0ms (0.7%)

Memory: 6.3MiB live, 130.5MiB allocated
Compiler: Compiled 11 591 to 1 303 computations (88.8% saved)

prune17.0ms (0.2%)

Memory

-37.6MiB live, 44.4MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	464	12	476
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	464	13	477

Accuracy

100.0%

Counts

477 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.6%	(/.f64 (+.f64 x y) (fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x))))))
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
	99.9%	(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
▶	52.3%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
	56.2%	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 x y)))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
	55.9%	(.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 x y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
▶	48.6%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (/.f64 y x) y y) #s(literal 1 binary64)))
▶	49.4%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
	52.6%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
	46.9%	#s(approx (/ (+ x y) (- x y)) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 y x) y y)) x)) x) #s(literal 1 binary64)))
	47.9%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
▶	51.4%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 393 to 235 computations (40.2% saved)

simplify289.0ms (4.2%)

Memory

13.2MiB live, 126.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 y x) y y)
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (/.f64 y x) y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (/.f64 y x) y y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
cost-diff	0	(+.f64 y x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (+.f64 y x))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	131
0	39	131
1	71	131
2	131	129
3	231	129
4	353	129
5	650	129
6	1087	129
7	1987	129
8	3546	129
9	4396	129
10	4891	129
11	4966	129
12	4975	129
13	4980	129
14	5366	129
15	5558	129
16	5564	129
17	5566	129
18	5568	129
19	5572	129
20	5574	129
21	5574	129
22	5582	129
23	5630	129
24	5750	129
25	5750	129
0	5750	129

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize128.0ms (1.8%)

Memory

1.2MiB live, 85.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.0625	(fma.f64 (/.f64 y x) y y)
accuracy	1.2350546309710826	(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (/.f64 y x) y y) #s(literal 1 binary64))
accuracy	32.907825713246666	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (/.f64 y x) y y) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.11328125	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
accuracy	32.38297757532657	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(neg.f64 y)
accuracy	0.03972626953688403	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
accuracy	30.462713996121263	#s(approx (- x y) (neg.f64 y))
accuracy	31.079897066624923	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 y x)
accuracy	0.01953125	(/.f64 (-.f64 x y) (+.f64 y x))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))

Samples

115.0ms

256×

valid

Compiler

Compiled 110 to 22 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-add: 46.0ms (45% of total)

ival-div: 43.0ms (42.1% of total)

ival-mult: 10.0ms (9.8% of total)

ival-sub: 2.0ms (2% of total)

ival-neg: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

15 → 66

Calls

Call 1

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

Outputs
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* -1 y)
(- x y)
y
(+ x y)
(* 2 (/ y x))
(/ (+ x (* 2 y)) x)
(/ 2 x)
(* 2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) (pow x 2))
(/ (+ (* 2 (pow y 2)) (* x (+ x (* 2 y)))) (pow x 2))
(/ (pow y 2) x)
(/ (+ (* x y) (pow y 2)) x)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(+ 1 (* 2 (/ y x)))
(+ 1 (+ (* 2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))
(+ y (/ (pow y 2) x))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ x (* -1 y))
(* y (+ 1 (/ y x)))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* (pow y 2) (+ (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* 2 (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 2 (* x y)))))
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

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

simplify178.0ms (2.6%)

Memory

1.3MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	914
1	823	789
2	2424	686
0	8103	614

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 64

Calls

Call 1

Inputs
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* -1 y)
(- x y)
y
(+ x y)
(* 2 (/ y x))
(/ (+ x (* 2 y)) x)
(/ 2 x)
(* 2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) (pow x 2))
(/ (+ (* 2 (pow y 2)) (* x (+ x (* 2 y)))) (pow x 2))
(/ (pow y 2) x)
(/ (+ (* x y) (pow y 2)) x)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(+ 1 (* 2 (/ y x)))
(+ 1 (+ (* 2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))
(+ y (/ (pow y 2) x))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ x (* -1 y))
(* y (+ 1 (/ y x)))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* (pow y 2) (+ (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* 2 (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 2 (* x y)))))
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite195.0ms (2.8%)

Memory

15.4MiB live, 295.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	111
0	39	109
1	170	109
2	1329	109
0	8403	109

Stop Event

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

Counts

15 → 828

Calls

Call 1

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

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

eval204.0ms (2.9%)

Memory: -16.7MiB live, 219.5MiB allocated
Compiler: Compiled 24 987 to 2 727 computations (89.1% saved)

prune19.0ms (0.3%)

Memory

16.9MiB live, 55.7MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	837	1	838
Fresh	1	6	7
Picked	0	5	5
Done	0	1	1
Total	838	13	851

Accuracy

100.0%

Counts

851 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.6%	(/.f64 (+.f64 x y) (fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x))))))
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	99.9%	(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
✓	52.3%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
▶	56.2%	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 x y)))
▶	56.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (neg.f64 (+.f64 y x)) y)) (*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x))))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
	55.9%	(.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 x y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
✓	48.6%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (/.f64 y x) y y) #s(literal 1 binary64)))
✓	49.4%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
▶	52.6%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
▶	47.9%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	51.4%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 326 to 184 computations (43.6% saved)

simplify134.0ms (1.9%)

Memory

-35.0MiB live, 90.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 x) (+.f64 y x))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (neg.f64 (+.f64 y x)) y)) (*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x))))
cost-diff	6	(-.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (neg.f64 (+.f64 y x)) y))
cost-diff	9	(/.f64 (-.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (neg.f64 (+.f64 y x)) y)) (*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x)))
cost-diff	0	(-.f64 y x)
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) (-.f64 y x))
cost-diff	8	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 x y)))
cost-diff	0	(/.f64 #s(literal -2 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
cost-diff	0	(+.f64 y x)
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
cost-diff	8	(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	212
0	50	174
1	118	156
2	363	150
3	1715	150
4	7394	150
0	8311	150

Stop Event

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

Calls

Call 1

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

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

localize97.0ms (1.4%)

Memory

38.6MiB live, 117.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (neg.f64 (+.f64 y x)) y)) (*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x))))
accuracy	0.0234375	(*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x))
accuracy	2.511706364981235	(-.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (neg.f64 (+.f64 y x)) y))
accuracy	27.481149594341716	(/.f64 (-.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (neg.f64 (+.f64 y x)) y)) (*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x)))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (+.f64 y x) (-.f64 y x))
accuracy	0.02734375	(*.f64 (-.f64 y x) (-.f64 x y))
accuracy	27.469431202734363	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 x y)))
accuracy	0.0	(/.f64 #s(literal -2 binary64) y)
accuracy	0.125	(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
accuracy	30.32269320999537	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
accuracy	33.31367872156173	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
accuracy	0.0	(+.f64 x y)
accuracy	0.01953125	(/.f64 (-.f64 x y) (+.f64 y x))
accuracy	0.0234375	(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
accuracy	0.03972626953688403	(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))

Samples

60.0ms

256×

valid

Compiler

Compiled 206 to 29 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 21.0ms (47% of total)

ival-div: 13.0ms (29.1% of total)

ival-add: 4.0ms (8.9% of total)

ival-sub: 3.0ms (6.7% of total)

ival-neg: 2.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series85.0ms (1.2%)

Memory

-23.7MiB live, 14.3MiB allocated

Counts

18 → 122

Calls

Call 1

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

Outputs
(* -1 y)
(- x y)
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
y
(+ x y)
(pow y 2)
(+ (* x (+ y (* -1 y))) (pow y 2))
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))
(+ y (* -1 x))
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(- (* -1 (pow x 2)) (* -1 (pow y 2)))
(* -1 (* x y))
(* x (+ (* -1 x) (* -1 y)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* 2 (* x y)))
(+ (* -1 (pow y 2)) (* x (+ (* -1 x) (* 2 y))))
(+ (* -2 (* x y)) (* -1 (pow y 2)))
(+ (* -1 (pow y 2)) (* x (+ (* -2 y) (* -1 x))))
x
(* x (+ 1 (* -1 (/ y x))))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(* x (+ 1 (/ y x)))
(* -2 (/ x y))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(* -1 x)
(* x (- (/ y x) 1))
(+ 1 (* -2 (/ y x)))
(+ 1 (+ (* -2 (/ y x)) (* -1 (/ (- (pow y 2) (+ (* -1 (pow y 2)) (* 4 (pow y 2)))) (pow x 2)))))
(+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ (- (pow y 2) (+ (* -1 (pow y 2)) (* 4 (pow y 2)))) (pow x 2))) (+ (* 2 (/ (* y (- (pow y 2) (+ (* -1 (pow y 2)) (* 4 (pow y 2))))) (pow x 3))) (* 2 (/ (pow y 3) (pow x 3)))))))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(+ 1 (* 2 (/ y x)))
(+ 1 (+ (* -1 (/ (- (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (* 2 (/ y x))))
(+ 1 (+ (* -1 (/ (- (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (+ (* 2 (/ y x)) (* 2 (/ (pow y 3) (pow x 3))))))
(* (pow x 2) (- (* -1 (/ y x)) 1))
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(* (pow x 2) (- (* 2 (/ y x)) 1))
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))) 1))
(* (pow x 2) (- (* -2 (/ y x)) 1))
(* (pow x 2) (- (+ (* -2 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))) 1))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2))) x)) (* -2 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2)))) x)) (+ (* -1 (pow y 2)) (* 2 (/ (pow y 3) x)))) (+ (* -4 (pow y 2)) (pow y 2))) x)) (* -2 y)) x)))
(+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) x)))
(+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (- (+ (* 2 (/ (pow y 3) x)) (pow y 2)) (* -1 (pow y 2))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ (pow y 2) x)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ (* 2 y) (/ (pow y 2) x)) x)) 1))
(+ x (* -1 y))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(/ (+ (* -2 x) (* -1 y)) y)
(/ -2 y)
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x))))
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))
(- y x)
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (* x y)) (* -1 (pow x 2)))
(+ (* -1 (pow x 2)) (* 2 (* x y)))
(+ (* -1 (pow x 2)) (* y (+ (* -1 y) (* 2 x))))
(+ (* -2 (* x y)) (* -1 (pow x 2)))
(+ (* -1 (pow x 2)) (* y (+ (* -2 x) (* -1 y))))
(* y (- (/ x y) 1))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(* y (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (- (* -1 (pow x 2)) (+ (* -4 (pow x 2)) (pow x 2))) (pow y 2))) (* 2 (/ x y))) 1)
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ (- (* -1 (pow x 2)) (+ (* -4 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* 2 (/ x y)) (* 2 (/ (* x (- (* -1 (pow x 2)) (+ (* -4 (pow x 2)) (pow x 2)))) (pow y 3)))))) 1)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -2 (/ x y)) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) (pow y 2)))) 1)
(- (+ (* -2 (/ x y)) (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) (pow y 2))))) 1)
(* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* (pow y 2) (- (* 2 (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1))
(* (pow y 2) (- (* -2 (/ x y)) 1))
(* (pow y 2) (- (+ (* -2 (/ x y)) (* -1 (/ (pow x 2) (pow y 2)))) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))
(* -1 (* y (- (/ x y) 1)))
(- (* -1 (/ (- (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* 2 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y)) (+ (* -2 (/ (pow x 3) y)) (pow x 2))) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* 2 x)) y)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ (pow x 3) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1)
(* -1 (* y (+ x (/ (pow x 2) y))))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ (pow x 2) y)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1))

Calls

6 calls:

Time	Variable		Point	Expression
68.0ms	x	@	0	((* (+ y x) (/ (- x y) (+ y x))) (/ (+ x y) (* (+ y x) (/ (- x y) (+ y x)))) (+ x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (- y x) (/ (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (* (neg (+ y x)) (+ y x))) (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (/ 1 (/ (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (* (neg (+ y x)) (+ y x)))) (* (neg x) (+ y x)) (/ (- x y) (+ y x)) (* (- y x) (- x y)) (* (neg (+ y x)) (+ y x)))
4.0ms	x	@	-inf	((* (+ y x) (/ (- x y) (+ y x))) (/ (+ x y) (* (+ y x) (/ (- x y) (+ y x)))) (+ x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (- y x) (/ (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (* (neg (+ y x)) (+ y x))) (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (/ 1 (/ (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (* (neg (+ y x)) (+ y x)))) (* (neg x) (+ y x)) (/ (- x y) (+ y x)) (* (- y x) (- x y)) (* (neg (+ y x)) (+ y x)))
3.0ms	y	@	inf	((* (+ y x) (/ (- x y) (+ y x))) (/ (+ x y) (* (+ y x) (/ (- x y) (+ y x)))) (+ x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (- y x) (/ (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (* (neg (+ y x)) (+ y x))) (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (/ 1 (/ (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (* (neg (+ y x)) (+ y x)))) (* (neg x) (+ y x)) (/ (- x y) (+ y x)) (* (- y x) (- x y)) (* (neg (+ y x)) (+ y x)))
3.0ms	x	@	inf	((* (+ y x) (/ (- x y) (+ y x))) (/ (+ x y) (* (+ y x) (/ (- x y) (+ y x)))) (+ x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (- y x) (/ (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (* (neg (+ y x)) (+ y x))) (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (/ 1 (/ (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (* (neg (+ y x)) (+ y x)))) (* (neg x) (+ y x)) (/ (- x y) (+ y x)) (* (- y x) (- x y)) (* (neg (+ y x)) (+ y x)))
3.0ms	y	@	-inf	((* (+ y x) (/ (- x y) (+ y x))) (/ (+ x y) (* (+ y x) (/ (- x y) (+ y x)))) (+ x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (- y x) (/ (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (* (neg (+ y x)) (+ y x))) (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (/ 1 (/ (- (* (neg x) (+ y x)) (* (neg (+ y x)) y)) (* (neg (+ y x)) (+ y x)))) (* (neg x) (+ y x)) (/ (- x y) (+ y x)) (* (- y x) (- x y)) (* (neg (+ y x)) (+ y x)))

simplify176.0ms (2.5%)

Memory

24.1MiB live, 213.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	1799
1	1540	1529
2	4914	1344
0	8314	1235

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 120

Calls

Call 1

Inputs
(* -1 y)
(- x y)
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
y
(+ x y)
(pow y 2)
(+ (* x (+ y (* -1 y))) (pow y 2))
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))
(+ y (* -1 x))
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(- (* -1 (pow x 2)) (* -1 (pow y 2)))
(* -1 (* x y))
(* x (+ (* -1 x) (* -1 y)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* 2 (* x y)))
(+ (* -1 (pow y 2)) (* x (+ (* -1 x) (* 2 y))))
(+ (* -2 (* x y)) (* -1 (pow y 2)))
(+ (* -1 (pow y 2)) (* x (+ (* -2 y) (* -1 x))))
x
(* x (+ 1 (* -1 (/ y x))))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(* x (+ 1 (/ y x)))
(* -2 (/ x y))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(* -1 x)
(* x (- (/ y x) 1))
(+ 1 (* -2 (/ y x)))
(+ 1 (+ (* -2 (/ y x)) (* -1 (/ (- (pow y 2) (+ (* -1 (pow y 2)) (* 4 (pow y 2)))) (pow x 2)))))
(+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ (- (pow y 2) (+ (* -1 (pow y 2)) (* 4 (pow y 2)))) (pow x 2))) (+ (* 2 (/ (* y (- (pow y 2) (+ (* -1 (pow y 2)) (* 4 (pow y 2))))) (pow x 3))) (* 2 (/ (pow y 3) (pow x 3)))))))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(+ 1 (* 2 (/ y x)))
(+ 1 (+ (* -1 (/ (- (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (* 2 (/ y x))))
(+ 1 (+ (* -1 (/ (- (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (+ (* 2 (/ y x)) (* 2 (/ (pow y 3) (pow x 3))))))
(* (pow x 2) (- (* -1 (/ y x)) 1))
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(* (pow x 2) (- (* 2 (/ y x)) 1))
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))) 1))
(* (pow x 2) (- (* -2 (/ y x)) 1))
(* (pow x 2) (- (+ (* -2 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))) 1))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2))) x)) (* -2 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2)))) x)) (+ (* -1 (pow y 2)) (* 2 (/ (pow y 3) x)))) (+ (* -4 (pow y 2)) (pow y 2))) x)) (* -2 y)) x)))
(+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) x)))
(+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (- (+ (* 2 (/ (pow y 3) x)) (pow y 2)) (* -1 (pow y 2))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ (pow y 2) x)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ (* 2 y) (/ (pow y 2) x)) x)) 1))
(+ x (* -1 y))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(/ (+ (* -2 x) (* -1 y)) y)
(/ -2 y)
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x))))
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))
(- y x)
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (* x y)) (* -1 (pow x 2)))
(+ (* -1 (pow x 2)) (* 2 (* x y)))
(+ (* -1 (pow x 2)) (* y (+ (* -1 y) (* 2 x))))
(+ (* -2 (* x y)) (* -1 (pow x 2)))
(+ (* -1 (pow x 2)) (* y (+ (* -2 x) (* -1 y))))
(* y (- (/ x y) 1))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(* y (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (- (* -1 (pow x 2)) (+ (* -4 (pow x 2)) (pow x 2))) (pow y 2))) (* 2 (/ x y))) 1)
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ (- (* -1 (pow x 2)) (+ (* -4 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* 2 (/ x y)) (* 2 (/ (* x (- (* -1 (pow x 2)) (+ (* -4 (pow x 2)) (pow x 2)))) (pow y 3)))))) 1)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -2 (/ x y)) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) (pow y 2)))) 1)
(- (+ (* -2 (/ x y)) (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) (pow y 2))))) 1)
(* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* (pow y 2) (- (* 2 (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1))
(* (pow y 2) (- (* -2 (/ x y)) 1))
(* (pow y 2) (- (+ (* -2 (/ x y)) (* -1 (/ (pow x 2) (pow y 2)))) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))
(* -1 (* y (- (/ x y) 1)))
(- (* -1 (/ (- (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* 2 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y)) (+ (* -2 (/ (pow x 3) y)) (pow x 2))) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* 2 x)) y)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ (pow x 3) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1)
(* -1 (* y (+ x (/ (pow x 2) y))))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ (pow x 2) y)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1))

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

rewrite344.0ms (5%)

Memory

-3.3MiB live, 368.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	176
0	50	146
1	224	112
2	2193	112
0	8704	112

Stop Event

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

Counts

18 → 2 043

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 x y) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 x y)) (-.f64 y x))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (+.f64 x y))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) y (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) y (.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) y (.f64 x x))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) y (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y)) (fma.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.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 (/.f64 (.f64 (-.f64 (neg.f64 x) y) x) (-.f64 (neg.f64 x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 x y) y) (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (-.f64 (neg.f64 x) y) x) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 (-.f64 (neg.f64 x) y) x) (-.f64 (neg.f64 x) y)) (fma.f64 (/.f64 (.f64 (+.f64 x y) y) (+.f64 x y)) (/.f64 (.f64 (+.f64 x y) y) (+.f64 x y)) (.f64 (/.f64 (.f64 (-.f64 (neg.f64 x) y) x) (-.f64 (neg.f64 x) y)) (/.f64 (*.f64 (+.f64 x y) y) (+.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 (-.f64 x y) (+.f64 x y))) (.f64 x (/.f64 (-.f64 x y) (+.f64 x y))) (-.f64 (.f64 (.f64 y (/.f64 (-.f64 x y) (+.f64 x y))) (.f64 y (/.f64 (-.f64 x y) (+.f64 x y)))) (.f64 (.f64 x (/.f64 (-.f64 x y) (+.f64 x y))) (.f64 y (/.f64 (-.f64 x y) (+.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (.f64 y (/.f64 (-.f64 x y) (+.f64 x y))) (.f64 y (/.f64 (-.f64 x y) (+.f64 x y))) (-.f64 (.f64 (.f64 x (/.f64 (-.f64 x y) (+.f64 x y))) (.f64 x (/.f64 (-.f64 x y) (+.f64 x y)))) (.f64 (.f64 y (/.f64 (-.f64 x y) (+.f64 x y))) (.f64 x (/.f64 (-.f64 x y) (+.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) y) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) x) (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) x) (-.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) y) (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) y)) (.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) x) (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) y) (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) y) (-.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) x) (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) x)) (.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) y) (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64))) (-.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y)))) (-.f64 y x))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y)))) (-.f64 x y))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y)))) (-.f64 y x))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (.f64 (-.f64 y x) (+.f64 x y)))) (-.f64 x y))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (neg.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (+.f64 x y)))) (*.f64 (-.f64 y x) (+.f64 x y)))
(/.f64 (neg.f64 (.f64 (-.f64 y x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (.f64 (-.f64 (neg.f64 x) y) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (.f64 (-.f64 y x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (.f64 (-.f64 (neg.f64 x) y) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (-.f64 y x))) (*.f64 (-.f64 y x) (+.f64 x y)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x))) (neg.f64 (.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (neg.f64 x) y))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x))) (neg.f64 (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (neg.f64 x) y))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 y x) (+.f64 x y)))) (neg.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (-.f64 y x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (+.f64 x y)))) (*.f64 (-.f64 y x) (+.f64 x y)))
(/.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (neg.f64 (.f64 (-.f64 y x) (.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (-.f64 y x))) (neg.f64 (*.f64 (-.f64 x y) (-.f64 (neg.f64 x) y))))
(/.f64 (neg.f64 (.f64 (-.f64 x y) (.f64 (-.f64 y x) (+.f64 x y)))) (*.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) y (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))) (*.f64 (-.f64 y x) (+.f64 x y)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (-.f64 x y))) (*.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) y (.f64 x x))) (.f64 (fma.f64 (+.f64 x y) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 x y) y (.f64 x x)) (fma.f64 (+.f64 x y) y (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 y y))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (neg.f64 x) y) x) (-.f64 (neg.f64 x) y)) (.f64 (-.f64 (neg.f64 x) y) (.f64 (-.f64 (neg.f64 x) y) y))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (-.f64 y x))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 x y) (+.f64 x y))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 x y) (+.f64 x y))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
(/.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x))
(/.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (*.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (-.f64 y x) (.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y)))
(/.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (+.f64 x y))) (*.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (.f64 (-.f64 y x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 (neg.f64 x) y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (-.f64 y x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 (neg.f64 x) y) (fma.f64 x (-.f64 x y) (*.f64 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 (-.f64 (.f64 y y) (.f64 x (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x y) y (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (.f64 (-.f64 y x) (+.f64 x y)))) (neg.f64 (*.f64 (-.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 x y) y) #s(literal 3 binary64)))) (neg.f64 (.f64 (-.f64 (neg.f64 x) y) (fma.f64 (.f64 (-.f64 (neg.f64 x) y) y) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (-.f64 y x)) (*.f64 (-.f64 x y) (-.f64 (neg.f64 x) y)))
(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (-.f64 y x)) (*.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x)) (.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (neg.f64 x) y)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x)) (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (neg.f64 x) y)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 y x) (+.f64 x y))) (*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (-.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (.f64 (-.f64 x y) (.f64 (-.f64 y x) (+.f64 x y))) (*.f64 (-.f64 y x) (+.f64 x y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (-.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (-.f64 x y))))
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(/.f64 (.f64 (-.f64 (neg.f64 x) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 (neg.f64 x) y) y) (.f64 (-.f64 (neg.f64 x) y) x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (neg.f64 x) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (neg.f64 x) y) y) (*.f64 (-.f64 (neg.f64 x) y) x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 (+.f64 x y) y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (neg.f64 x) y) y) (*.f64 (-.f64 (neg.f64 x) y) x)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (.f64 (-.f64 y x) (+.f64 x y)))) (*.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (.f64 (-.f64 y x) (+.f64 x y))) (*.f64 (-.f64 y x) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (-.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (.f64 (-.f64 (neg.f64 x) y) (.f64 (-.f64 x y) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 (-.f64 (neg.f64 x) y) (.f64 (-.f64 y x) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (-.f64 (neg.f64 x) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (-.f64 (neg.f64 x) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (-.f64 (neg.f64 x) y) y) (.f64 (-.f64 (neg.f64 x) y) x)) (-.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (neg.f64 x) y) y) (.f64 (-.f64 (neg.f64 x) y) x)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (neg.f64 x) y) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (neg.f64 x) y) y) (.f64 (-.f64 (neg.f64 x) y) x)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 (+.f64 x y) y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 y x) (+.f64 x y)) (.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 y x) (+.f64 x y)))))
(neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(fma.f64 (.f64 y #s(literal -1 binary64)) (+.f64 x y) (.f64 (-.f64 (neg.f64 x) y) x))
(fma.f64 (.f64 y #s(literal -1 binary64)) x (fma.f64 (neg.f64 x) x (.f64 (-.f64 (neg.f64 x) y) y)))
(fma.f64 (neg.f64 y) (+.f64 x y) (*.f64 (-.f64 (neg.f64 x) y) x))
(fma.f64 (-.f64 (neg.f64 x) y) x (*.f64 (-.f64 (neg.f64 x) y) y))
(fma.f64 (-.f64 (neg.f64 x) y) y (*.f64 (-.f64 (neg.f64 x) y) x))
(fma.f64 (neg.f64 x) (+.f64 x y) (*.f64 (-.f64 (neg.f64 x) y) y))
(fma.f64 (neg.f64 x) y (fma.f64 (neg.f64 x) x (*.f64 (-.f64 (neg.f64 x) y) y)))
(fma.f64 #s(literal -1 binary64) (.f64 (+.f64 x y) x) (.f64 (-.f64 (neg.f64 x) y) y))
(fma.f64 #s(literal -1 binary64) (.f64 (+.f64 x y) y) (.f64 (-.f64 (neg.f64 x) y) x))
(fma.f64 #s(literal -1 binary64) (.f64 x y) (fma.f64 (neg.f64 x) x (.f64 (-.f64 (neg.f64 x) y) y)))
(fma.f64 (+.f64 x y) (neg.f64 y) (*.f64 (-.f64 (neg.f64 x) y) x))
(fma.f64 (+.f64 x y) (neg.f64 x) (*.f64 (-.f64 (neg.f64 x) y) y))
(fma.f64 x (-.f64 (neg.f64 x) y) (*.f64 (-.f64 (neg.f64 x) y) y))
(fma.f64 y (-.f64 (neg.f64 x) y) (*.f64 (-.f64 (neg.f64 x) y) x))
(fma.f64 y (neg.f64 x) (fma.f64 (neg.f64 x) x (*.f64 (-.f64 (neg.f64 x) y) y)))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (neg.f64 x) y) y) (.f64 (-.f64 (neg.f64 x) y) x))) (/.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (neg.f64 x) y) y) (.f64 (-.f64 (neg.f64 x) y) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (.f64 (-.f64 y x) (+.f64 x y))) (/.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (.f64 (-.f64 y x) (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(-.f64 (.f64 (-.f64 (neg.f64 x) y) x) (.f64 (+.f64 x y) y))
(+.f64 (.f64 (neg.f64 y) (+.f64 x y)) (.f64 (-.f64 (neg.f64 x) y) x))
(+.f64 (.f64 (neg.f64 x) y) (fma.f64 (neg.f64 x) x (.f64 (-.f64 (neg.f64 x) y) y)))
(+.f64 (.f64 (-.f64 (neg.f64 x) y) y) (.f64 (-.f64 (neg.f64 x) y) x))
(+.f64 (.f64 (-.f64 (neg.f64 x) y) x) (.f64 (-.f64 (neg.f64 x) y) y))

eval510.0ms (7.4%)

Memory: -7.8MiB live, 188.3MiB allocated
Compiler: Compiled 45 804 to 4 750 computations (89.6% saved)

prune41.0ms (0.6%)

Memory

14.5MiB live, 52.1MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1 358	2	1 360
Fresh	2	0	2
Picked	2	3	5
Done	1	5	6
Total	1 363	10	1 373

Accuracy

100.0%

Counts

1 373 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	99.9%	(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
✓	52.3%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
▶	87.8%	(/.f64 (+.f64 x y) #s(approx (* (+ y x) (/ (- x y) (+ y x))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
▶	100.0%	(-.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 y x)))
✓	49.4%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
✓	52.6%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
✓	47.9%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	51.4%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 121 to 81 computations (33.1% saved)

simplify247.0ms (3.6%)

Memory

-36.8MiB live, 127.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (+ y x) (/ (- x y) (+ y x))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) #s(approx (* (+ y x) (/ (- x y) (+ y x))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
cost-diff	4	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
cost-diff	0	(/.f64 x (-.f64 y x))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 y (-.f64 x y))
cost-diff	4	(-.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 y x)))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	92
0	28	88
1	48	88
2	84	88
3	175	76
4	428	64
5	1199	64
6	4737	60
0	8349	60

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.8%)

Memory

14.7MiB live, 54.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.0	#s(approx (* (+ y x) (/ (- x y) (+ y x))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
accuracy	0.03972626953688403	(/.f64 (+.f64 x y) #s(approx (* (+ y x) (/ (- x y) (+ y x))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
accuracy	7.540656326154547	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
accuracy	0.0	(-.f64 x y)
accuracy	0.01171875	(/.f64 y (-.f64 x y))
accuracy	0.015625	(-.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 y x)))
accuracy	0.01953125	(/.f64 x (-.f64 y x))

Samples

28.0ms

256×

valid

Compiler

Compiled 78 to 18 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 8.0ms (43.6% of total)

ival-sub: 5.0ms (27.3% of total)

ival-mult: 3.0ms (16.4% of total)

ival-add: 2.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

8 → 76

Calls

Call 1

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

Outputs
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(- (* -1 (/ x y)) 1)
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(* -1 y)
(- x y)
(/ x y)
(* x (+ (/ 1 y) (/ x (pow y 2))))
(* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))
(* x (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(+ x (* -1 y))
y
(+ x y)
1
(+ 1 (* 2 (/ y x)))
(- (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))) (* -1 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* 2 (/ y x)) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* -1 (/ (pow y 3) (pow x 3)))))
(/ y x)
(/ (+ y (/ (pow y 2) x)) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)
x
(* x (+ 1 (* -1 (/ y x))))
(- (* -1 (/ y x)) 1)
(- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x)))
(- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 y) y) x)))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x)))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
(* -1 (* x (- (/ y x) 1)))
(- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1)
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(* y (+ (/ 1 x) (/ y (pow x 2))))
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1)
(- (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) 1)
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* -1 (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* 2 (/ x y)) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(/ (+ x (/ (pow x 2) y)) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 4) (pow y 3))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2))))) y)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y))) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y))) (* -1 x)) y)) 1)
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

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

simplify249.0ms (3.6%)

Memory

-8.2MiB live, 113.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	1246
1	1190	1159
2	3440	950
0	8231	852

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 74

Calls

Call 1

Inputs
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(- (* -1 (/ x y)) 1)
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(* -1 y)
(- x y)
(/ x y)
(* x (+ (/ 1 y) (/ x (pow y 2))))
(* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))
(* x (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(+ x (* -1 y))
y
(+ x y)
1
(+ 1 (* 2 (/ y x)))
(- (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))) (* -1 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* 2 (/ y x)) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* -1 (/ (pow y 3) (pow x 3)))))
(/ y x)
(/ (+ y (/ (pow y 2) x)) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)
x
(* x (+ 1 (* -1 (/ y x))))
(- (* -1 (/ y x)) 1)
(- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x)))
(- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 y) y) x)))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x)))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
(* -1 (* x (- (/ y x) 1)))
(- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1)
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(* y (+ (/ 1 x) (/ y (pow x 2))))
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1)
(- (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) 1)
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* -1 (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* 2 (/ x y)) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(/ (+ x (/ (pow x 2) y)) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 4) (pow y 3))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2))))) y)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y))) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y))) (* -1 x)) y)) 1)
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite456.0ms (6.6%)

Memory

17.1MiB live, 214.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	76
0	28	76
1	140	60
2	1412	60
0	8168	60

Stop Event

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

Counts

8 → 539

Calls

Call 1

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

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

eval77.0ms (1.1%)

Memory: -26.1MiB live, 168.6MiB allocated
Compiler: Compiled 17 914 to 2 012 computations (88.8% saved)

prune114.0ms (1.6%)

Memory

-3.2MiB live, 85.7MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	587	0	587
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	587	10	597

Accuracy

100.0%

Counts

597 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	99.9%	(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
✓	52.3%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	87.8%	(/.f64 (+.f64 x y) #s(approx (* (+ y x) (/ (- x y) (+ y x))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
✓	100.0%	(-.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 y x)))
✓	49.4%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
✓	52.6%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
✓	47.9%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	51.4%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 379 to 154 computations (59.4% saved)

regimes14.0ms (0.2%)

Memory

27.3MiB live, 27.3MiB allocated

Counts

16 → 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))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
(-.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 y x)))
(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 x y)))
(/.f64 (+.f64 x y) #s(approx (* (+ y x) (/ (- x y) (+ y x))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (/.f64 y x) y y) #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
#s(approx (/ (+ x y) (- x y)) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 y x) y y)) x)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (neg.f64 (+.f64 y x)) y)) (*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x))))
(.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 x y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (+.f64 x y) (fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x))))))

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

Calls

3 calls:

5.0ms	x
5.0ms	y
4.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes10.0ms (0.1%)

Memory

-18.5MiB live, 21.0MiB allocated

Counts

7 → 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))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))

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

Calls

3 calls:

5.0ms	y
3.0ms	x
2.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

6 → 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))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes9.0ms (0.1%)

Memory

-20.8MiB live, 17.2MiB allocated

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

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

Calls

3 calls:

5.0ms	y
2.0ms	x
2.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
78.6%	3	`x`
77.7%	3	`y`
98.9%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

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

Outputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #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
98.2%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

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

Outputs
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 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
97.8%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

2 → 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))

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
97.8%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

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
51.4%	1	`y`
51.4%	1	`x`
51.4%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999589698281	0.964747444476563

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999589698281	0.964747444476563

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999589698281	0.964747444476563

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch25.0ms (0.4%)

Memory

-25.0MiB live, 17.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-0.9999999589698281	0.964747444476563

Samples

16.0ms

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)

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

simplify50.0ms (0.7%)

Memory

7.2MiB live, 44.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	164
1	51	164
2	64	164
3	81	164
4	108	164
5	171	164
6	290	164
7	747	164
8	2980	164

Stop Event

1×	node limit

Calls

Call 1

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

soundness853.0ms (12.3%)

Memory

2.3MiB live, 552.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	36	13
2	275	13
3	4537	13
0	9104	13
0	30	176
0	50	146
1	224	112
2	2193	112
0	8704	112
0	140	382
1	432	339
2	1267	298
3	5358	280
0	8369	246

Stop Event

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

Compiler

Compiled 255 to 99 computations (61.2% saved)

preprocess205.0ms (3%)

Memory: 10.2MiB live, 94.6MiB allocated
Compiler: Compiled 368 to 102 computations (72.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze11.0ms (0.2%)

sample1.3s (19.4%)

explain233.0ms (3.4%)

preprocess66.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.3%)

localize57.0ms (0.8%)

series4.0ms (0.1%)

simplify145.0ms (2.1%)

rewrite169.0ms (2.4%)

eval50.0ms (0.7%)

prune17.0ms (0.2%)

simplify289.0ms (4.2%)

localize128.0ms (1.8%)

series11.0ms (0.2%)

simplify178.0ms (2.6%)

rewrite195.0ms (2.8%)

eval204.0ms (2.9%)

prune19.0ms (0.3%)

simplify134.0ms (1.9%)

localize97.0ms (1.4%)

series85.0ms (1.2%)

simplify176.0ms (2.5%)

rewrite344.0ms (5%)

eval510.0ms (7.4%)

prune41.0ms (0.6%)

simplify247.0ms (3.6%)

localize53.0ms (0.8%)

series8.0ms (0.1%)

simplify249.0ms (3.6%)

rewrite456.0ms (6.6%)

eval77.0ms (1.1%)

prune114.0ms (1.6%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch25.0ms (0.4%)

simplify50.0ms (0.7%)

soundness853.0ms (12.3%)

preprocess205.0ms (3%)

end0.0ms (0%)

Profiling