Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, D

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze37.0ms (0.7%)

Memory

-26.9MiB live, 11.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.3s (23.2%)

Memory

-7.4MiB live, 873.1MiB allocated

Samples

829.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 660.0ms

ival-sub: 315.0ms (47.8% of total)

ival-add: 284.0ms (43.1% of total)

ival-div: 52.0ms (7.9% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain51.0ms (0.9%)

Memory

12.0MiB live, 88.5MiB allocated

FPErrors

Click to see full error table

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

26.0ms

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 (33.2% of total)

ival-div: 3.0ms (33.2% of total)

ival-add: 3.0ms (33.2% of total)

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

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

preprocess58.0ms (1%)

Memory

26.7MiB live, 64.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	50	37
2	122	35
3	327	35
4	843	35
5	1373	35
6	1422	35
7	1462	35
8	1505	35
9	1517	35
0	5	7
0	8	7
1	14	7
2	21	7
3	33	7
4	60	7
5	104	7
6	171	7
7	282	7
8	475	7
9	808	7
10	817	7
11	855	7
12	884	7
0	884	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 x y) (+.f64 y x))

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

0.7MiB live, 0.7MiB 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)

simplify27.0ms (0.5%)

Memory

-25.3MiB live, 18.2MiB 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	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	282	15
8	475	15
9	808	15
10	817	15
11	855	15
12	884	15
0	884	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 x y) (+.f64 y x))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 y x)

localize20.0ms (0.4%)

Memory

-10.1MiB live, 26.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x y)
accuracy	0.0234375	(/.f64 (-.f64 x y) (+.f64 x y))

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (46.2% of total)

ival-sub: 1.0ms (23.1% of total)

ival-add: 1.0ms (23.1% of total)

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

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

series5.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB 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)
(* -1 y)
(- x y)
y
(+ x y)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y 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 (* -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))
(- (/ 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 (/ (- (* -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	@	0	((/ (- x y) (+ x y)) (- x y) (+ x y))
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))

simplify147.0ms (2.6%)

Memory

18.2MiB live, 215.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	362
1	439	335
2	1238	290
3	4833	278
0	8359	255

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

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

rewrite227.0ms (4.1%)

Memory

-7.3MiB live, 244.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	39	13
2	309	13
3	5194	13
0	8715	13

Stop Event

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

Counts

3 → 497

Calls

Call 1

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

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

eval75.0ms (1.3%)

Memory: -2.2MiB live, 111.0MiB allocated
Compiler: Compiled 11 952 to 1 251 computations (89.5% saved)

prune13.0ms (0.2%)

Memory

-6.7MiB live, 35.8MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	499	9	508
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	499	10	509

Accuracy

100.0%

Counts

509 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x)))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
▶	52.2%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
▶	52.3%	(.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
▶	49.7%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
	52.7%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
	51.8%	#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
	48.5%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
▶	51.3%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 231 to 159 computations (31.2% saved)

simplify165.0ms (3%)

Memory

8.2MiB live, 163.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 y x) (-.f64 y x))
cost-diff	0	(-.f64 x y)
cost-diff	2	(.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
cost-diff	6	(/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 y x)))
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
cost-diff	0	(+.f64 x y)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 y x))
cost-diff	5	(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	132
0	41	123
1	73	123
2	140	113
3	318	113
4	1049	113
5	4230	113
0	8090	113

Stop Event

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

Calls

Call 1

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

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

localize55.0ms (1%)

Memory

15.5MiB live, 87.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (+.f64 y x) (-.f64 y x))
accuracy	0.16796875	(.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
accuracy	29.204448349534125	(/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 y x)))
accuracy	0.0	(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
accuracy	0.0	(/.f64 y x)
accuracy	32.18005385244193	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(neg.f64 y)
accuracy	0.0234375	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
accuracy	30.7590374623156	#s(approx (- x y) (neg.f64 y))
accuracy	31.164195195738007	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
accuracy	0.0	(+.f64 y x)
accuracy	0.0078125	(/.f64 #s(literal -1 binary64) (+.f64 y x))
accuracy	0.01171875	(/.f64 x (+.f64 y x))
accuracy	0.1015625	(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x)))

Samples

41.0ms

256×

valid

Compiler

Compiled 121 to 23 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 10.0ms (40% of total)

ival-mult: 6.0ms (24% of total)

ival-add: 5.0ms (20% of total)

ival-sub: 2.0ms (8% of total)

ival-neg: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.4%)

Memory

-7.5MiB live, 29.0MiB allocated

Counts

16 → 106

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((+ (* y (/ -1 (+ y x))) (/ x (+ y x))) (/ -1 (+ y x)) (+ y x) (/ x (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (- x y) (* (+ y x) (- y x))) (* (/ (- x y) (* (+ y x) (- y x))) (- y x)) (- x y) (* (+ y x) (- y x)))
3.0ms	y	@	inf	((+ (* y (/ -1 (+ y x))) (/ x (+ y x))) (/ -1 (+ y x)) (+ y x) (/ x (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (- x y) (* (+ y x) (- y x))) (* (/ (- x y) (* (+ y x) (- y x))) (- y x)) (- x y) (* (+ y x) (- y x)))
3.0ms	x	@	0	((+ (* y (/ -1 (+ y x))) (/ x (+ y x))) (/ -1 (+ y x)) (+ y x) (/ x (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (- x y) (* (+ y x) (- y x))) (* (/ (- x y) (* (+ y x) (- y x))) (- y x)) (- x y) (* (+ y x) (- y x)))
3.0ms	y	@	-inf	((+ (* y (/ -1 (+ y x))) (/ x (+ y x))) (/ -1 (+ y x)) (+ y x) (/ x (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (- x y) (* (+ y x) (- y x))) (* (/ (- x y) (* (+ y x) (- y x))) (- y x)) (- x y) (* (+ y x) (- y x)))
2.0ms	y	@	0	((+ (* y (/ -1 (+ y x))) (/ x (+ y x))) (/ -1 (+ y x)) (+ y x) (/ x (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (- x y) (* (+ y x) (- y x))) (* (/ (- x y) (* (+ y x) (- y x))) (- y x)) (- x y) (* (+ y x) (- y x)))

simplify153.0ms (2.8%)

Memory

-2.1MiB live, 156.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	482	1668
1	1566	1426
2	5315	1258
0	8492	1185

Stop Event

1×	iter limit
1×	node limit

Counts

106 → 104

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

rewrite195.0ms (3.5%)

Memory

-11.8MiB live, 269.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	114
0	41	114
1	167	106
2	1482	106
0	8583	106

Stop Event

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

Counts

16 → 971

Calls

Call 1

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

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

eval304.0ms (5.5%)

Memory: -125.5MiB live, 210.7MiB allocated
Compiler: Compiled 28 413 to 3 433 computations (87.9% saved)

prune21.0ms (0.4%)

Memory

8.1MiB live, 56.7MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 086	2	1 088
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	1 088	10	1 098

Accuracy

100.0%

Counts

1 098 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
▶	85.2%	(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y))
✓	52.2%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	52.3%	(.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
▶	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
✓	49.7%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
▶	52.7%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
▶	51.8%	#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
▶	48.5%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	51.3%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 189 to 133 computations (29.6% saved)

simplify176.0ms (3.2%)

Memory

-7.9MiB live, 67.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))
cost-diff	0	(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)
cost-diff	0	#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
cost-diff	1	(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))
cost-diff	0	(-.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff	0	#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff	0	(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y))
cost-diff	4	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #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 y x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 y x))
cost-diff	2	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	171
0	45	171
1	82	170
2	136	169
3	233	169
4	451	157
5	1188	157
6	2599	157
7	4264	157
8	5309	157
9	5951	157
10	6066	157
11	6167	157
12	7068	157
13	7731	157
14	7838	157
0	8006	155

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (1.5%)

Memory

17.0MiB live, 130.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))
accuracy	0.09765625	(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))
accuracy	0.7535084027095118	(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)
accuracy	30.830340760747532	#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
accuracy	0.0234375	(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y))
accuracy	9.122106282052721	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
accuracy	0.0	(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
accuracy	0.0	(/.f64 x y)
accuracy	30.267190268909154	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
accuracy	32.9669215897864	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(+.f64 y x)
accuracy	0.0078125	(/.f64 #s(literal -1 binary64) (+.f64 y x))
accuracy	0.16796875	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))

Samples

65.0ms

256×

valid

Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sub: 22.0ms (50.8% of total)

ival-div: 8.0ms (18.5% of total)

ival-mult: 7.0ms (16.2% of total)

ival-add: 5.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.4%)

Memory

-4.1MiB live, 33.1MiB allocated

Counts

18 → 100

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (- (/ x y) 1) y) (/ (- x y) (+ x y)) (- x y) (- (/ x y) 1) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (- x y) (+ x y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (* x (+ (* (/ 2 y) x) -2)) (+ x y) (+ (* (/ 2 y) x) -2))
4.0ms	x	@	inf	((* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (- (/ x y) 1) y) (/ (- x y) (+ x y)) (- x y) (- (/ x y) 1) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (- x y) (+ x y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (* x (+ (* (/ 2 y) x) -2)) (+ x y) (+ (* (/ 2 y) x) -2))
2.0ms	y	@	-inf	((* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (- (/ x y) 1) y) (/ (- x y) (+ x y)) (- x y) (- (/ x y) 1) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (- x y) (+ x y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (* x (+ (* (/ 2 y) x) -2)) (+ x y) (+ (* (/ 2 y) x) -2))
2.0ms	y	@	inf	((* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (- (/ x y) 1) y) (/ (- x y) (+ x y)) (- x y) (- (/ x y) 1) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (- x y) (+ x y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (* x (+ (* (/ 2 y) x) -2)) (+ x y) (+ (* (/ 2 y) x) -2))
2.0ms	x	@	0	((* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (- (/ x y) 1) y) (/ (- x y) (+ x y)) (- x y) (- (/ x y) 1) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (- x y) (+ x y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (* x (+ (* (/ 2 y) x) -2)) (+ x y) (+ (* (/ 2 y) x) -2))

simplify142.0ms (2.5%)

Memory

6.0MiB live, 199.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	331	1181
1	1014	1060
2	3080	981
0	8216	920

Stop Event

1×	iter limit
1×	node limit

Counts

100 → 98

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

rewrite280.0ms (5%)

Memory

-22.0MiB live, 239.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	149
0	45	149
1	197	148
2	1535	148
0	8376	148

Stop Event

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

Counts

18 → 541

Calls

Call 1

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

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

eval159.0ms (2.8%)

Memory: -8.3MiB live, 109.9MiB allocated
Compiler: Compiled 15 255 to 2 193 computations (85.6% saved)

prune26.0ms (0.5%)

Memory

-2.4MiB live, 35.5MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	577	2	579
Fresh	0	0	0
Picked	2	3	5
Done	0	5	5
Total	579	10	589

Accuracy

100.0%

Counts

589 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	52.2%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	52.3%	(.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
✓	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
✓	49.7%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
▶	51.8%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)))
✓	52.7%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
▶	43.6%	#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))
✓	48.5%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	51.3%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 139 to 96 computations (30.9% saved)

simplify133.0ms (2.4%)

Memory

37.7MiB live, 108.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	159
0	38	159
1	84	159
2	201	159
3	375	159
4	654	159
5	1503	159
6	3400	159
7	6112	159
8	7374	159
0	8121	152

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (1.5%)

Memory

-10.7MiB live, 111.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -2 binary64) y)
accuracy	0.078125	(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64))
accuracy	0.09765625	(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64))
accuracy	30.830340760747532	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)))
accuracy	0.0	#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))
accuracy	0.00390625	(.f64 (.f64 #s(literal -2 binary64) x) (-.f64 y x))
accuracy	16.35978413884902	(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))
accuracy	30.830340760747532	#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))

Samples

64.0ms

256×

valid

Compiler

Compiled 102 to 27 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sub: 11.0ms (28.3% of total)

ival-div: 10.0ms (25.8% of total)

ival-mult: 10.0ms (25.8% of total)

ival-add: 7.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.6%)

Memory

-9.0MiB live, 28.9MiB allocated

Counts

10 → 52

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	y	@	0	((/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ (- x y) (+ x y)) (+ (* (/ x y) (+ (* (/ -2 y) x) 2)) -1) (/ x y) (+ (* (/ -2 y) x) 2) (* (* -2 x) (- y x)) (/ -2 y))
2.0ms	x	@	-inf	((/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ (- x y) (+ x y)) (+ (* (/ x y) (+ (* (/ -2 y) x) 2)) -1) (/ x y) (+ (* (/ -2 y) x) 2) (* (* -2 x) (- y x)) (/ -2 y))
2.0ms	x	@	inf	((/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ (- x y) (+ x y)) (+ (* (/ x y) (+ (* (/ -2 y) x) 2)) -1) (/ x y) (+ (* (/ -2 y) x) 2) (* (* -2 x) (- y x)) (/ -2 y))
2.0ms	y	@	-inf	((/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ (- x y) (+ x y)) (+ (* (/ x y) (+ (* (/ -2 y) x) 2)) -1) (/ x y) (+ (* (/ -2 y) x) 2) (* (* -2 x) (- y x)) (/ -2 y))
2.0ms	y	@	inf	((/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ (- x y) (+ x y)) (+ (* (/ x y) (+ (* (/ -2 y) x) 2)) -1) (/ x y) (+ (* (/ -2 y) x) 2) (* (* -2 x) (- y x)) (/ -2 y))

simplify282.0ms (5.1%)

Memory

-8.8MiB live, 204.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	692
1	614	649
2	1812	576
3	6056	568
0	8084	533

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

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

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

rewrite206.0ms (3.7%)

Memory

24.9MiB live, 214.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	141
0	38	141
1	193	141
2	1503	141
0	8608	138

Stop Event

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

Counts

10 → 312

Calls

Call 1

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

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

eval98.0ms (1.8%)

Memory: 14.4MiB live, 85.4MiB allocated
Compiler: Compiled 13 581 to 1 529 computations (88.7% saved)

prune15.0ms (0.3%)

Memory

-24.2MiB live, 24.4MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	343	0	343
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	343	10	353

Accuracy

100.0%

Counts

353 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	52.2%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	52.3%	(.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
✓	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
✓	49.7%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	51.8%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)))
✓	52.7%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
✓	43.6%	#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))
✓	48.5%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	51.3%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 339 to 158 computations (53.4% saved)

regimes16.0ms (0.3%)

Memory

-7.5MiB live, 28.6MiB allocated

Counts

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

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

Calls

3 calls:

7.0ms	x
4.0ms	y
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)

regimes7.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
82.0%	3	`x`
78.8%	3	`y`
99.4%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0%)

Memory

5.4MiB live, 5.4MiB 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 #s(approx (- x y) (neg.f64 y)) (+.f64 x 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 x y) #s(literal 2 binary64) #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:

2.0ms

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

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.0MiB 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 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.3%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory

-32.1MiB live, 3.9MiB 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:

3.0ms

(/.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)

regimes4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.3%	1	`y`
51.3%	1	`x`
51.3%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9991791464223874	0.9999948977822709

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9991791464223874	0.9999948977822709

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9991791464223874	0.9999948977822709

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch15.0ms (0.3%)

Memory

-5.4MiB live, 32.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-0.9991791464223874	0.9999948977822709

Samples

6.0ms

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)

simplify67.0ms (1.2%)

Memory

19.0MiB live, 67.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	144
1	42	144
2	48	144
3	60	144
4	89	144
5	142	144
6	264	144
7	740	144
8	2390	144
9	6943	144

Stop Event

1×	node limit

Calls

Call 1

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

soundness724.0ms (13%)

Memory

0.3MiB live, 279.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	362
1	439	335
2	1238	290
3	4833	278
0	8359	255

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 173 to 69 computations (60.1% saved)

preprocess124.0ms (2.2%)

Memory: -25.6MiB live, 63.0MiB allocated
Compiler: Compiled 324 to 84 computations (74.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	282	15
8	475	15
9	808	15
10	817	15
11	855	15
12	884	15
0	884	15

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	282	15
8	475	15
9	808	15
10	817	15
11	855	15
12	884	15
0	884	15

start0.0ms (0%)

analyze37.0ms (0.7%)

sample1.3s (23.2%)

explain51.0ms (0.9%)

preprocess58.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify27.0ms (0.5%)

localize20.0ms (0.4%)

series5.0ms (0.1%)

simplify147.0ms (2.6%)

rewrite227.0ms (4.1%)

eval75.0ms (1.3%)

prune13.0ms (0.2%)

simplify165.0ms (3%)

localize55.0ms (1%)

series20.0ms (0.4%)

simplify153.0ms (2.8%)

rewrite195.0ms (3.5%)

eval304.0ms (5.5%)

prune21.0ms (0.4%)

simplify176.0ms (3.2%)

localize84.0ms (1.5%)

series20.0ms (0.4%)

simplify142.0ms (2.5%)

rewrite280.0ms (5%)

eval159.0ms (2.8%)

prune26.0ms (0.5%)

simplify133.0ms (2.4%)

localize81.0ms (1.5%)

series35.0ms (0.6%)

simplify282.0ms (5.1%)

rewrite206.0ms (3.7%)

eval98.0ms (1.8%)

prune15.0ms (0.3%)

regimes16.0ms (0.3%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.3%)

simplify67.0ms (1.2%)

soundness724.0ms (13%)

preprocess124.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	282	15
8	475	15
9	808	15
10	817	15
11	855	15
12	884	15
0	884	15