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

8.5MiB live, 8.5MiB 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)

sample887.0ms (17.8%)

Memory

-8.0MiB live, 628.3MiB allocated

Samples

672.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-add: 140.0ms (44.1% of total)

ival-div: 130.0ms (40.9% of total)

ival-sub: 39.0ms (12.3% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain126.0ms (2.5%)

Memory

-3.2MiB live, 89.6MiB 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

21.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 3.0ms (31.8% of total)

ival-div: 3.0ms (31.8% of total)

ival-add: 3.0ms (31.8% of total)

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

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

preprocess56.0ms (1.1%)

Memory

-1.4MiB live, 37.5MiB 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: 0.1MiB live, 0.1MiB 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
▶	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify43.0ms (0.9%)

Memory

-19.6MiB live, 17.6MiB 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)

localize15.0ms (0.3%)

Memory

21.5MiB live, 21.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x y)
accuracy	0.017910009768442016	(/.f64 (+.f64 x y) (-.f64 x y))

Samples

11.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (42.9% of total)

ival-sub: 1.0ms (21.4% of total)

ival-add: 1.0ms (21.4% of total)

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

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

series4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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))

simplify190.0ms (3.8%)

Memory

-28.9MiB live, 125.3MiB 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)

rewrite290.0ms (5.8%)

Memory

20.9MiB live, 171.6MiB 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

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 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))

eval65.0ms (1.3%)

Memory: -16.7MiB live, 109.0MiB allocated
Compiler: Compiled 11 591 to 1 303 computations (88.8% saved)

prune9.0ms (0.2%)

Memory

32.9MiB live, 32.9MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	469	7	476
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	469	8	477

Accuracy

100.0%

Counts

477 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	49.6%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
▶	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
	55.5%	(.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
	51.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
▶	50.0%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
▶	50.8%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
▶	48.9%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 169 to 117 computations (30.8% saved)

simplify71.0ms (1.4%)

Memory

-13.7MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
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	(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	#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	21	95
0	31	95
1	48	95
2	70	93
3	101	93
4	189	93
5	361	93
6	603	93
7	985	93
8	1520	93
9	1930	93
10	2168	93
11	2286	93
12	2422	93
13	2429	93
14	2429	93
0	2429	93

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)
#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) 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)

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)
#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) 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)

localize51.0ms (1%)

Memory

-11.1MiB live, 76.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -2 binary64) y)
accuracy	0.10546875	(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
accuracy	31.990266119384874	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(neg.f64 y)
accuracy	0.017910009768442016	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
accuracy	32.12394681090423	#s(approx (- x y) (neg.f64 y))
accuracy	31.465513241773795	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
accuracy	32.674342120776274	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
accuracy	0.0	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 y x)
accuracy	0.01171875	(/.f64 (-.f64 x y) (+.f64 y x))

Samples

38.0ms

256×

valid

Compiler

Compiled 81 to 17 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 17.0ms (65.1% of total)

ival-add: 4.0ms (15.3% of total)

ival-sub: 2.0ms (7.7% of total)

ival-mult: 2.0ms (7.7% of total)

ival-neg: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

13 → 55

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))
#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) 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)

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)
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)))
(* -2 (/ x y))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 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 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
(+ 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)))))
(+ 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))
(/ (+ (* -2 x) (* -1 y)) 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))))
(- (/ 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)))
(- (* -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
1.0ms	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)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y))
1.0ms	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)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y))
1.0ms	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)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y))
1.0ms	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)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y))
1.0ms	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)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y))

simplify140.0ms (2.8%)

Memory

-5.5MiB live, 189.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	748
1	734	658
2	2264	561
3	6895	556
0	8108	494

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

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

rewrite146.0ms (2.9%)

Memory

-2.7MiB live, 238.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	84
0	31	82
1	123	82
2	845	82
0	8597	82

Stop Event

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

Counts

13 → 973

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))
#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) 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)

Outputs
(.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 y x))
(.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 y 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)))
(.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 y 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)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y x))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (-.f64 (neg.f64 y) x))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y (.f64 x (-.f64 x y)))))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (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 x y) (+.f64 y x)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 y x) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 y x) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y)))
(.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 y x)))
(.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(.f64 (/.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)) (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (/.f64 (+.f64 y x) (-.f64 x y)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (+.f64 y x) (-.f64 y x)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (fma.f64 y y (.f64 x (-.f64 x y)))))
(.f64 (/.f64 (fma.f64 y y (.f64 x (-.f64 x y))) (-.f64 x y)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (+.f64 y x) (-.f64 y x)))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 y x)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.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)))) (/.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))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 x y)))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))) #s(literal -1 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 9 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) y) x))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) y) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) (.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) y) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -2 binary64) y) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -2 binary64) y) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x)))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -2 binary64) y) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))))))
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal -2 binary64) y)) (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (neg.f64 (*.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -2 binary64) y) x))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))
(.f64 (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (neg.f64 y))
(/.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))

eval120.0ms (2.4%)

Memory: -1.0MiB live, 184.6MiB allocated
Compiler: Compiled 21 187 to 2 673 computations (87.4% saved)

prune13.0ms (0.3%)

Memory

4.5MiB live, 43.4MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	879	0	879
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	879	8	887

Accuracy

100.0%

Counts

887 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	49.6%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
▶	55.5%	(.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
▶	51.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
✓	50.0%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
✓	50.8%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	48.9%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 88 to 61 computations (30.7% saved)

simplify107.0ms (2.1%)

Memory

16.5MiB live, 97.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 y x) (-.f64 y x))
cost-diff	0	(+.f64 y x)
cost-diff	3	(.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
cost-diff	6	(/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))
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)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	73
0	25	73
1	48	61
2	137	59
3	456	58
4	1492	58
5	5880	58
0	8391	58

Stop Event

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

Calls

Call 1

Inputs
#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)
(.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))
(+.f64 y x)
y
x
(*.f64 (+.f64 y x) (-.f64 y x))
(-.f64 y x)
(neg.f64 (+.f64 y x))

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

localize40.0ms (0.8%)

Memory

-12.4MiB live, 63.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (+.f64 y x) (-.f64 y x))
accuracy	0.0	(neg.f64 (+.f64 y x))
accuracy	0.15625	(.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
accuracy	27.463683848362415	(/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.3298534689687757	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
accuracy	30.791073347099076	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))

Samples

30.0ms

256×

valid

Compiler

Compiled 69 to 18 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sub: 5.0ms (24.6% of total)

ival-div: 5.0ms (24.6% of total)

ival-mult: 5.0ms (24.6% of total)

ival-add: 4.0ms (19.7% of total)

ival-neg: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

8 → 80

Calls

Call 1

Inputs
#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)
(/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))
(.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(+.f64 y x)
(*.f64 (+.f64 y x) (-.f64 y x))
(neg.f64 (+.f64 y x))

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

Calls

6 calls:

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

simplify143.0ms (2.9%)

Memory

-20.7MiB live, 173.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	1117
1	1046	964
2	3225	833
0	8415	764

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 78

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

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

rewrite196.0ms (3.9%)

Memory

15.9MiB live, 227.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	64
0	25	64
1	113	50
2	1067	49
0	8605	49

Stop Event

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

Counts

8 → 1 024

Calls

Call 1

Inputs
#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)
(/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))
(.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(+.f64 y x)
(*.f64 (+.f64 y x) (-.f64 y x))
(neg.f64 (+.f64 y x))

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

eval314.0ms (6.3%)

Memory: -7.5MiB live, 253.4MiB allocated
Compiler: Compiled 42 353 to 4 214 computations (90.1% saved)

prune24.0ms (0.5%)

Memory

23.5MiB live, 71.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 409	1	1 410
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	1 410	8	1 418

Accuracy

100.0%

Counts

1 418 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	49.6%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x)))
✓	51.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
✓	50.0%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
✓	50.8%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	48.9%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 82 to 61 computations (25.6% saved)

simplify20.0ms (0.4%)

Memory

-20.6MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (+.f64 y x))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 y x))
cost-diff	3	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	28	26
2	79	26
3	265	26
4	407	25
5	591	25
6	845	25
7	913	25
8	917	25
0	917	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (0.9%)

Memory

0.8MiB live, 39.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(neg.f64 (+.f64 y x))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (-.f64 y x))
accuracy	0.15625	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x)))

Samples

40.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 26.0ms (80.5% of total)

ival-sub: 2.0ms (6.2% of total)

ival-div: 2.0ms (6.2% of total)

ival-mult: 2.0ms (6.2% of total)

ival-neg: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	((* (/ 1 (- y x)) (neg (+ y x))) (/ 1 (- y x)) (- y x) (neg (+ y x)) (+ y x))
0.0ms	x	@	-inf	((* (/ 1 (- y x)) (neg (+ y x))) (/ 1 (- y x)) (- y x) (neg (+ y x)) (+ y x))
0.0ms	x	@	inf	((* (/ 1 (- y x)) (neg (+ y x))) (/ 1 (- y x)) (- y x) (neg (+ y x)) (+ y x))
0.0ms	y	@	inf	((* (/ 1 (- y x)) (neg (+ y x))) (/ 1 (- y x)) (- y x) (neg (+ y x)) (+ y x))
0.0ms	x	@	0	((* (/ 1 (- y x)) (neg (+ y x))) (/ 1 (- y x)) (- y x) (neg (+ y x)) (+ y x))

simplify215.0ms (4.3%)

Memory

28.3MiB live, 181.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	743
1	735	693
2	2131	607
3	7138	601
0	8174	554

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

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

rewrite472.0ms (9.5%)

Memory

-167.3MiB live, 167.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	13	25
1	52	23
2	374	22
0	5884	22

Stop Event

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

Counts

5 → 737

Calls

Call 1

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

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

eval207.0ms (4.2%)

Memory: 13.4MiB live, 143.6MiB allocated
Compiler: Compiled 18 881 to 2 359 computations (87.5% saved)

prune25.0ms (0.5%)

Memory

10.0MiB live, 45.6MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	770	0	770
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	770	8	778

Accuracy

100.0%

Counts

778 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	49.6%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x)))
✓	51.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
✓	50.0%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
✓	50.8%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	48.9%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 180 to 94 computations (47.8% saved)

regimes15.0ms (0.3%)

Memory

-28.6MiB live, 16.8MiB allocated

Counts

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

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

Calls

3 calls:

9.0ms	y
3.0ms	x
3.0ms	(/.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)

regimes8.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB 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 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB 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:

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

Results

Accuracy	Segments	Branch
77.0%	3	`x`
77.3%	3	`y`
98.9%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes13.0ms (0.3%)

Memory

-30.1MiB live, 5.6MiB 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:

13.0ms

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

Results

Accuracy	Segments	Branch
98.7%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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
98.2%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes1.0ms (0%)

Memory

4.3MiB live, 4.3MiB 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
98.2%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB 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	y
1.0ms	x
1.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
48.9%	1	`x`
48.9%	1	`y`
48.9%	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	-0.8664048117777121	1.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.8664048117777121	1.0

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	-0.8664048117777121	1.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch20.0ms (0.4%)

Memory

-18.0MiB live, 20.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-0.8664048117777121	1.0

Samples

5.0ms

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)

simplify73.0ms (1.5%)

Memory

11.8MiB live, 49.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	153
1	43	153
2	47	153
3	53	153
4	64	153
5	88	153
6	149	153
7	410	153
8	3367	153
9	7697	153

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 #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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness675.0ms (13.6%)

Memory

-9.9MiB live, 356.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	382
1	432	339
2	1267	298
3	5358	280
0	8369	246
0	5	13
0	8	13
1	36	13
2	275	13
3	4537	13
0	9104	13

Stop Event

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

Compiler

Compiled 207 to 83 computations (59.9% saved)

preprocess94.0ms (1.9%)

Memory: 31.2MiB live, 68.8MiB allocated
Compiler: Compiled 346 to 94 computations (72.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	28
0	13	28
1	28	26
2	79	26
3	265	26
4	407	25
5	591	25
6	845	25
7	913	25
8	917	25
0	917	25

Iter	Nodes	Cost
0	8	28
0	13	28
1	28	26
2	79	26
3	265	26
4	407	25
5	591	25
6	845	25
7	913	25
8	917	25
0	917	25

start0.0ms (0%)

analyze11.0ms (0.2%)

sample887.0ms (17.8%)

explain126.0ms (2.5%)

preprocess56.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify43.0ms (0.9%)

localize15.0ms (0.3%)

series4.0ms (0.1%)

simplify190.0ms (3.8%)

rewrite290.0ms (5.8%)

eval65.0ms (1.3%)

prune9.0ms (0.2%)

simplify71.0ms (1.4%)

localize51.0ms (1%)

series7.0ms (0.1%)

simplify140.0ms (2.8%)

rewrite146.0ms (2.9%)

eval120.0ms (2.4%)

prune13.0ms (0.3%)

simplify107.0ms (2.1%)

localize40.0ms (0.8%)

series9.0ms (0.2%)

simplify143.0ms (2.9%)

rewrite196.0ms (3.9%)

eval314.0ms (6.3%)

prune24.0ms (0.5%)

simplify20.0ms (0.4%)

localize46.0ms (0.9%)

series2.0ms (0%)

simplify215.0ms (4.3%)

rewrite472.0ms (9.5%)

eval207.0ms (4.2%)

prune25.0ms (0.5%)

regimes15.0ms (0.3%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

regimes13.0ms (0.3%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.4%)

simplify73.0ms (1.5%)

soundness675.0ms (13.6%)

preprocess94.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	28
0	13	28
1	28	26
2	79	26
3	265	26
4	407	25
5	591	25
6	845	25
7	913	25
8	917	25
0	917	25