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

start0.0ms (0%)

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

analyze23.0ms (0.4%)

Memory

-15.7MiB live, 31.8MiB allocated; 6ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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
79.7%	79.6%	20.3%	0.1%	0%	0%	0%	7
83.6%	83.5%	16.4%	0.1%	0%	0%	0%	8
90.2%	90.1%	9.8%	0.1%	0%	0%	0%	9
92%	91.9%	8%	0.1%	0%	0%	0%	10
95.2%	95.1%	4.8%	0.1%	0%	0%	0%	11
96%	96%	4%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample884.0ms (15.6%)

Memory

37.4MiB live, 1 248.2MiB allocated; 284ms collecting garbage

Samples

545.0ms

8 256×

valid

Precisions

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

ival-sub: 133.0ms (47.7% of total)

ival-add: 76.0ms (27.2% of total)

ival-div: 53.0ms (19% of total)

ival-true: 6.0ms (2.1% of total)

exact: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain75.0ms (1.3%)

Memory

50.5MiB live, 138.9MiB allocated; 16ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(-.f64 x y)`
-	-	`(+.f64 x y)`
-	-	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`
-	-	`(-.f64 #s(literal 2 binary64) (+.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

25.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 5.0ms (40.9% of total)

ival-div: 3.0ms (24.5% of total)

ival-add: 3.0ms (24.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess20.0ms (0.4%)

Memory

-11.1MiB live, 33.8MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	47	55
2	63	55
3	71	55
4	83	55
5	95	55
6	117	55
7	129	55
8	142	55
9	149	55
10	151	55
11	155	55
12	159	55
13	163	55
0	7	9
0	11	9
1	19	9
2	23	9
0	23	9

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	19	23
2	23	23
0	23	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (1%)

Memory

-26.5MiB live, 31.7MiB allocated; 56ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy	0.0	(+.f64 x y)
accuracy	0.03125	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-sub: 3.0ms (50.9% of total)

ival-div: 2.0ms (33.9% of total)

ival-add: 1.0ms (17% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

4 → 44

Calls

Call 1

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

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

Calls

6 calls:

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

simplify158.0ms (2.8%)

Memory

-19.6MiB live, 211.5MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	709
1	572	677
2	1927	594
0	8256	570

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 42

Calls

Call 1

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

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

rewrite194.0ms (3.4%)

Memory

39.3MiB live, 315.0MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	53	20
2	404	20
3	6675	20
0	8155	20

Stop Event

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

Counts

4 → 333

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 y y))) (-.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 #s(literal 2 binary64) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(.f64 (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (+.f64 y x) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(.f64 (.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 (-.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))))
(*.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))))
(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))))
(/.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) x) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 y x)))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 y x)))
(/.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))))
(/.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) (-.f64 (.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) x) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) y))) (neg.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 x y) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(/.f64 (.f64 (-.f64 x y) (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)))))
(/.f64 (.f64 (-.f64 x y) (+.f64 (pow.f64 (.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) #s(literal 3 binary64)) #s(literal 64 binary64))) (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) (-.f64 (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) #s(literal 4 binary64)) #s(literal 16 binary64))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 x y) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)))) (.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))) (neg.f64 y))) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))) y)) (*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(/.f64 (-.f64 (.f64 x (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)))) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (neg.f64 y))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)))))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64))) (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))))
(/.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (.f64 (+.f64 y x) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)))))
(/.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (.f64 (neg.f64 (+.f64 y x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(/.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))))
(/.f64 (neg.f64 (-.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)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) x) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) y)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (neg.f64 (+.f64 y x)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)))))
(/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)))))
(/.f64 (-.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)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(fma.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64)) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (+.f64 (+.f64 y x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64)) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (+.f64 (+.f64 y x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 y y))) (-.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (+.f64 (+.f64 y x) #s(literal 2 binary64))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 y y))) (-.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 #s(literal 2 binary64) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (+.f64 (+.f64 y x) #s(literal 2 binary64))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 #s(literal 2 binary64) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))))
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(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x) (/.f64 (*.f64 (neg.f64 y) 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)) (/.f64 (*.f64 (neg.f64 y) 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 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y 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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 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 y y) (/.f64 y (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(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 y (/.f64 (.f64 y y) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) 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 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))) #s(literal 1 binary64)))
(+.f64 (.f64 y #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (/.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 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y)))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(+.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (/.f64 (.f64 (neg.f64 y) y) (-.f64 x y)))
(+.f64 y x)
(+.f64 x y)

eval84.0ms (1.5%)

Memory: -28.5MiB live, 75.5MiB allocated; 23ms collecting garbage
Compiler: Compiled 11 393 to 1 327 computations (88.4% saved)

prune12.0ms (0.2%)

Memory

32.5MiB live, 32.5MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	358	13	371
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	358	14	372

Accuracy

100.0%

Counts

372 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.0%	(/.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))) y)) (*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	88.6%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))))
	87.8%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))
	87.7%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y))))
	60.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
	41.0%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
▶	58.2%	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))))
▶	50.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
	51.6%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	41.3%	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
▶	34.6%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)))
	34.4%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
▶	40.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 433 to 289 computations (33.3% saved)

simplify397.0ms (7%)

Memory

-31.4MiB live, 262.5MiB allocated; 224ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))
cost-diff	0	(+.f64 y x)
cost-diff	8	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))))
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y)
cost-diff	0	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)))
cost-diff	0	(+.f64 #s(literal -2 binary64) y)
cost-diff	0	(/.f64 y (+.f64 #s(literal -2 binary64) y))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
cost-diff	0	(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))))
cost-diff	3	(fma.f64 (/.f64 y x) x x)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	184
0	46	187
1	91	187
2	161	176
3	306	164
4	688	164
5	3803	164
0	8135	164

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (1.4%)

Memory

-25.8MiB live, 226.1MiB allocated; 28ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.01953125	(*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))
accuracy	0.140625	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))))
accuracy	25.61884961964593	(/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))
accuracy	0.0	(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
accuracy	0.0	(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y)
accuracy	0.0	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64))
accuracy	41.850169249091714	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)))
accuracy	0.0	(+.f64 #s(literal -2 binary64) y)
accuracy	0.01171875	(/.f64 y (+.f64 #s(literal -2 binary64) y))
accuracy	31.755439645385984	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
accuracy	37.85159853681068	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
accuracy	0.0	(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
accuracy	0.0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
accuracy	0.03125	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))))
accuracy	7.022862097958119	(fma.f64 (/.f64 y x) x x)

Samples

57.0ms

256×

valid

Compiler

Compiled 152 to 26 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sub: 13.0ms (34.5% of total)

ival-add: 10.0ms (26.5% of total)

ival-div: 8.0ms (21.2% of total)

ival-mult: 6.0ms (15.9% of total)

exact: 1.0ms (2.7% of total)

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

adjust: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

40.3MiB live, 40.3MiB allocated; 0ms collecting garbage

Counts

17 → 109

Calls

Call 1

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

Outputs
y
(+ x y)
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 y)
(- x y)
(- 2 y)
(- (+ 2 (* -1 x)) y)
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(/ 2 y)
(+ (* -2 (/ x y)) (* 2 (/ 1 y)))
2
(+ 2 (* -2 x))
(/ -1 (- 2 y))
(- (* x (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (/ 1 (- 2 y)))
(- (* x (- (+ (* -1 (* x (+ (/ 1 (* y (pow (- 2 y) 2))) (/ (* (- (+ 2 (* -1 y)) y) (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (* y (- 2 y)))))) (/ 1 (* y (- 2 y)))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (/ 1 (- 2 y)))
(- (* x (- (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (/ 1 (* y (pow (- 2 y) 2))) (/ (* (- (+ 2 (* -1 y)) y) (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (* y (- 2 y)))) (- (+ 2 (* -1 y)) y)) (* y (- 2 y)))) (* -1 (/ (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2))))) (* y (- 2 y))))))) (+ (/ 1 (* y (pow (- 2 y) 2))) (/ (* (- (+ 2 (* -1 y)) y) (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (* y (- 2 y)))))) (/ 1 (* y (- 2 y)))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (/ 1 (- 2 y)))
(* y (- 2 y))
(+ (* x (- (+ 2 (* -1 y)) y)) (* y (- 2 y)))
(+ (* x (- (+ 2 (+ (* -1 x) (* -1 y))) y)) (* y (- 2 y)))
x
(* x (+ 1 (/ y x)))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -2 (/ x y))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(/ -1 x)
(/ (- (* 2 (/ y x)) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ 1 x))))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (* (- (* 2 y) (+ 2 (* -1 y))) (- (+ 2 (* -1 y)) y))) (* y (- 2 y))) (pow x 2))) (* 2 (/ y x))) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ 1 x))))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (* y (* (- 2 y) (- (* 2 y) (+ 2 (* -1 y)))))) (* (+ (* -1 (* (- (* 2 y) (+ 2 (* -1 y))) (- (+ 2 (* -1 y)) y))) (* y (- 2 y))) (- (+ 2 (* -1 y)) y))) (pow x 3))) (* 2 (/ y x))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (- (* 2 y) (+ 2 (* -1 y))) (- (+ 2 (* -1 y)) y)) (pow x 2))) (+ (* 2 (/ 1 x)) (/ (* y (- 2 y)) (pow x 2))))))) x)
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* 2 (/ 1 x))) (+ 1 (/ y x))))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (* 2 (/ 1 x)) (/ (* y (- 2 y)) (pow x 2)))) (+ 1 (/ y x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (/ (- (+ 1 (* -1 (/ y x))) (+ (* -1 (/ (- 2 y) x)) (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) (+ y (* -1 (- 2 y))))) (* -1 (/ (+ (* -1 (* (+ y (* -1 (- 2 y))) (- (* -1 y) (+ y (* -1 (- 2 y)))))) (* y (- 2 y))) x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) (+ y (* -1 (- 2 y))))) (* -1 (/ (+ (* -1 (* (+ y (* -1 (- 2 y))) (- (* -1 y) (+ y (* -1 (- 2 y)))))) (+ (* -1 (/ (+ (* -1 (* y (* (- 2 y) (- (* -1 y) (+ y (* -1 (- 2 y))))))) (* (+ y (* -1 (- 2 y))) (+ (* -1 (* (+ y (* -1 (- 2 y))) (- (* -1 y) (+ y (* -1 (- 2 y)))))) (* y (- 2 y))))) x)) (* y (- 2 y)))) x))) x))) x))
(* (pow x 2) (- (* -1 (/ (+ y (* -1 (- 2 y))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 (- 2 y)) (* -1 (/ (* y (- 2 y)) x)))) x)) 1))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ x (* -1 y))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
-2
(- y 2)
(/ (+ 2 (* -2 x)) y)
(/ (+ 2 (+ y (* -2 x))) y)
(/ 1 (- 2 x))
(+ (* y (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x)))))) (/ 1 (- 2 x)))
(+ (* y (- (+ (* 2 (/ 1 (pow (- 2 x) 2))) (* y (- (/ 1 (* x (pow (- 2 x) 2))) (/ (* (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (- (+ 2 (* -1 x)) x)) (* x (- 2 x)))))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x)))))) (/ 1 (- 2 x)))
(+ (* y (- (+ (* 2 (/ 1 (pow (- 2 x) 2))) (* y (- (+ (* -1 (* y (+ (* -1 (/ (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (* x (- 2 x)))) (/ (* (- (+ 2 (* -1 x)) x) (- (/ 1 (* x (pow (- 2 x) 2))) (/ (* (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (- (+ 2 (* -1 x)) x)) (* x (- 2 x))))) (* x (- 2 x)))))) (/ 1 (* x (pow (- 2 x) 2)))) (/ (* (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (- (+ 2 (* -1 x)) x)) (* x (- 2 x)))))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x)))))) (/ 1 (- 2 x)))
(* x (- 2 x))
(+ (* x (- 2 x)) (* y (- (+ 2 (* -1 x)) x)))
(+ (* x (- 2 x)) (* y (- (+ 2 (+ (* -1 x) (* -1 y))) x)))
(* y (+ 1 (/ x y)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* y (- (/ x y) 1))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
(* y (- 1 (* 2 (/ 1 y))))
(/ 1 y)
(/ (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (- 2 x))) (* -1 (* (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x))) (- (+ 2 (* -1 x)) x)))) (pow y 2))))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (* (- 2 x) (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x)))))) (* (+ (* -1 (* x (- 2 x))) (* -1 (* (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x))) (- (+ 2 (* -1 x)) x)))) (- (+ 2 (* -1 x)) x))) (pow y 3))))) (+ (* -1 (/ (* x (- 2 x)) (pow y 2))) (+ (* -1 (/ (* (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x))) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))))) y)
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* 2 (/ 1 y))) (+ 1 (/ x y))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* x (- 2 x)) (pow y 2)))) (+ 1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (/ (- (* -1 (/ (- (* -1 x) (+ x (* -1 (- 2 x)))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (* (+ x (* -1 (- 2 x))) (- (* -1 x) (+ x (* -1 (- 2 x))))) y)) (/ (* x (- 2 x)) y))) (+ x (* -1 (- 2 x)))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (* x (* (- 2 x) (- (* -1 x) (+ x (* -1 (- 2 x)))))) y)) (/ (* (+ x (* -1 (- 2 x))) (+ (* -1 (* (+ x (* -1 (- 2 x))) (- (* -1 x) (+ x (* -1 (- 2 x)))))) (* x (- 2 x)))) y)) (+ (* -1 (* (+ x (* -1 (- 2 x))) (- (* -1 x) (+ x (* -1 (- 2 x)))))) (* x (- 2 x)))) y))) (+ x (* -1 (- 2 x)))) y)) 1) y))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 (- 2 x))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 (- 2 x)) (* -1 (/ (* x (- 2 x)) y)))) y)) 1))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (+ (/ (+ (* -2 x) 2) y) 1) (/ (+ (* -2 x) 2) y) (+ (* -2 x) 2) (* (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x)))) (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (+ x y) (* (- 2 (+ y x)) (+ y x)))
3.0ms	x	@	0	((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (+ (/ (+ (* -2 x) 2) y) 1) (/ (+ (* -2 x) 2) y) (+ (* -2 x) 2) (* (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x)))) (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (+ x y) (* (- 2 (+ y x)) (+ y x)))
3.0ms	x	@	inf	((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (+ (/ (+ (* -2 x) 2) y) 1) (/ (+ (* -2 x) 2) y) (+ (* -2 x) 2) (* (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x)))) (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (+ x y) (* (- 2 (+ y x)) (+ y x)))
2.0ms	y	@	inf	((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (+ (/ (+ (* -2 x) 2) y) 1) (/ (+ (* -2 x) 2) y) (+ (* -2 x) 2) (* (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x)))) (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (+ x y) (* (- 2 (+ y x)) (+ y x)))
2.0ms	x	@	-inf	((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (+ (/ (+ (* -2 x) 2) y) 1) (/ (+ (* -2 x) 2) y) (+ (* -2 x) 2) (* (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x)))) (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (+ x y) (* (- 2 (+ y x)) (+ y x)))

simplify216.0ms (3.8%)

Memory

9.0MiB live, 194.3MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	2428
1	1672	2235
2	6578	2155
0	8149	2059

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 107

Calls

Call 1

Inputs
y
(+ x y)
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 y)
(- x y)
(- 2 y)
(- (+ 2 (* -1 x)) y)
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(/ 2 y)
(+ (* -2 (/ x y)) (* 2 (/ 1 y)))
2
(+ 2 (* -2 x))
(/ -1 (- 2 y))
(- (* x (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (/ 1 (- 2 y)))
(- (* x (- (+ (* -1 (* x (+ (/ 1 (* y (pow (- 2 y) 2))) (/ (* (- (+ 2 (* -1 y)) y) (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (* y (- 2 y)))))) (/ 1 (* y (- 2 y)))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (/ 1 (- 2 y)))
(- (* x (- (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (/ 1 (* y (pow (- 2 y) 2))) (/ (* (- (+ 2 (* -1 y)) y) (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (* y (- 2 y)))) (- (+ 2 (* -1 y)) y)) (* y (- 2 y)))) (* -1 (/ (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2))))) (* y (- 2 y))))))) (+ (/ 1 (* y (pow (- 2 y) 2))) (/ (* (- (+ 2 (* -1 y)) y) (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (* y (- 2 y)))))) (/ 1 (* y (- 2 y)))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (/ 1 (- 2 y)))
(* y (- 2 y))
(+ (* x (- (+ 2 (* -1 y)) y)) (* y (- 2 y)))
(+ (* x (- (+ 2 (+ (* -1 x) (* -1 y))) y)) (* y (- 2 y)))
x
(* x (+ 1 (/ y x)))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -2 (/ x y))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(/ -1 x)
(/ (- (* 2 (/ y x)) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ 1 x))))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (* (- (* 2 y) (+ 2 (* -1 y))) (- (+ 2 (* -1 y)) y))) (* y (- 2 y))) (pow x 2))) (* 2 (/ y x))) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ 1 x))))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (* y (* (- 2 y) (- (* 2 y) (+ 2 (* -1 y)))))) (* (+ (* -1 (* (- (* 2 y) (+ 2 (* -1 y))) (- (+ 2 (* -1 y)) y))) (* y (- 2 y))) (- (+ 2 (* -1 y)) y))) (pow x 3))) (* 2 (/ y x))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (- (* 2 y) (+ 2 (* -1 y))) (- (+ 2 (* -1 y)) y)) (pow x 2))) (+ (* 2 (/ 1 x)) (/ (* y (- 2 y)) (pow x 2))))))) x)
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* 2 (/ 1 x))) (+ 1 (/ y x))))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (* 2 (/ 1 x)) (/ (* y (- 2 y)) (pow x 2)))) (+ 1 (/ y x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (/ (- (+ 1 (* -1 (/ y x))) (+ (* -1 (/ (- 2 y) x)) (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) (+ y (* -1 (- 2 y))))) (* -1 (/ (+ (* -1 (* (+ y (* -1 (- 2 y))) (- (* -1 y) (+ y (* -1 (- 2 y)))))) (* y (- 2 y))) x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) (+ y (* -1 (- 2 y))))) (* -1 (/ (+ (* -1 (* (+ y (* -1 (- 2 y))) (- (* -1 y) (+ y (* -1 (- 2 y)))))) (+ (* -1 (/ (+ (* -1 (* y (* (- 2 y) (- (* -1 y) (+ y (* -1 (- 2 y))))))) (* (+ y (* -1 (- 2 y))) (+ (* -1 (* (+ y (* -1 (- 2 y))) (- (* -1 y) (+ y (* -1 (- 2 y)))))) (* y (- 2 y))))) x)) (* y (- 2 y)))) x))) x))) x))
(* (pow x 2) (- (* -1 (/ (+ y (* -1 (- 2 y))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 (- 2 y)) (* -1 (/ (* y (- 2 y)) x)))) x)) 1))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ x (* -1 y))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
-2
(- y 2)
(/ (+ 2 (* -2 x)) y)
(/ (+ 2 (+ y (* -2 x))) y)
(/ 1 (- 2 x))
(+ (* y (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x)))))) (/ 1 (- 2 x)))
(+ (* y (- (+ (* 2 (/ 1 (pow (- 2 x) 2))) (* y (- (/ 1 (* x (pow (- 2 x) 2))) (/ (* (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (- (+ 2 (* -1 x)) x)) (* x (- 2 x)))))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x)))))) (/ 1 (- 2 x)))
(+ (* y (- (+ (* 2 (/ 1 (pow (- 2 x) 2))) (* y (- (+ (* -1 (* y (+ (* -1 (/ (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (* x (- 2 x)))) (/ (* (- (+ 2 (* -1 x)) x) (- (/ 1 (* x (pow (- 2 x) 2))) (/ (* (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (- (+ 2 (* -1 x)) x)) (* x (- 2 x))))) (* x (- 2 x)))))) (/ 1 (* x (pow (- 2 x) 2)))) (/ (* (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (- (+ 2 (* -1 x)) x)) (* x (- 2 x)))))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x)))))) (/ 1 (- 2 x)))
(* x (- 2 x))
(+ (* x (- 2 x)) (* y (- (+ 2 (* -1 x)) x)))
(+ (* x (- 2 x)) (* y (- (+ 2 (+ (* -1 x) (* -1 y))) x)))
(* y (+ 1 (/ x y)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* y (- (/ x y) 1))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
(* y (- 1 (* 2 (/ 1 y))))
(/ 1 y)
(/ (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (- 2 x))) (* -1 (* (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x))) (- (+ 2 (* -1 x)) x)))) (pow y 2))))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (* (- 2 x) (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x)))))) (* (+ (* -1 (* x (- 2 x))) (* -1 (* (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x))) (- (+ 2 (* -1 x)) x)))) (- (+ 2 (* -1 x)) x))) (pow y 3))))) (+ (* -1 (/ (* x (- 2 x)) (pow y 2))) (+ (* -1 (/ (* (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x))) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))))) y)
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* 2 (/ 1 y))) (+ 1 (/ x y))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* x (- 2 x)) (pow y 2)))) (+ 1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (/ (- (* -1 (/ (- (* -1 x) (+ x (* -1 (- 2 x)))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (* (+ x (* -1 (- 2 x))) (- (* -1 x) (+ x (* -1 (- 2 x))))) y)) (/ (* x (- 2 x)) y))) (+ x (* -1 (- 2 x)))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (* x (* (- 2 x) (- (* -1 x) (+ x (* -1 (- 2 x)))))) y)) (/ (* (+ x (* -1 (- 2 x))) (+ (* -1 (* (+ x (* -1 (- 2 x))) (- (* -1 x) (+ x (* -1 (- 2 x)))))) (* x (- 2 x)))) y)) (+ (* -1 (* (+ x (* -1 (- 2 x))) (- (* -1 x) (+ x (* -1 (- 2 x)))))) (* x (- 2 x)))) y))) (+ x (* -1 (- 2 x)))) y)) 1) y))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 (- 2 x))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 (- 2 x)) (* -1 (/ (* x (- 2 x)) y)))) y)) 1))

Outputs
y
(+ x y)
(+.f64 x y)
(* -1 (/ y (- 2 y)))
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) y))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) y)) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) y)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(+ 1 (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(+ (* -2 (/ x y)) (* 2 (/ 1 y)))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(/ -1 (- 2 y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))
(- (* x (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (/ 1 (- 2 y)))
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) y)) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)))
(- (* x (- (+ (* -1 (* x (+ (/ 1 (* y (pow (- 2 y) 2))) (/ (* (- (+ 2 (* -1 y)) y) (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (* y (- 2 y)))))) (/ 1 (* y (- 2 y)))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (/ 1 (- 2 y)))
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) y) (neg.f64 x) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) y))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)))
(- (* x (- (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (/ 1 (* y (pow (- 2 y) 2))) (/ (* (- (+ 2 (* -1 y)) y) (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (* y (- 2 y)))) (- (+ 2 (* -1 y)) y)) (* y (- 2 y)))) (* -1 (/ (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2))))) (* y (- 2 y))))))) (+ (/ 1 (* y (pow (- 2 y) 2))) (/ (* (- (+ 2 (* -1 y)) y) (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (* y (- 2 y)))))) (/ 1 (* y (- 2 y)))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (/ 1 (- 2 y)))
(-.f64 (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) y) (-.f64 (-.f64 #s(literal 2 binary64) y) y) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) y))) y) (neg.f64 (-.f64 #s(literal 2 binary64) y))) (neg.f64 x)) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) y)) x (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) y))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)))
(* y (- 2 y))
(*.f64 (-.f64 #s(literal 2 binary64) y) y)
(+ (* x (- (+ 2 (* -1 y)) y)) (* y (- 2 y)))
(fma.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x (*.f64 (-.f64 #s(literal 2 binary64) y) y))
(+ (* x (- (+ 2 (+ (* -1 x) (* -1 y))) y)) (* y (- 2 y)))
(fma.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x) y) x (*.f64 (-.f64 #s(literal 2 binary64) y) y))
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(-.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x)
(* -2 (/ x y))
(*.f64 (/.f64 x y) #s(literal -2 binary64))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) y)) x)
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) y) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 2 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 2 (/ y x)) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ 1 x))))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) x)
(/ (- (+ (* -1 (/ (+ (* -1 (* (- (* 2 y) (+ 2 (* -1 y))) (- (+ 2 (* -1 y)) y))) (* y (- 2 y))) (pow x 2))) (* 2 (/ y x))) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ 1 x))))) x)
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (neg.f64 (fma.f64 (neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y)) (+.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y) (.f64 (-.f64 #s(literal 2 binary64) y) y))) x)) x) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (* y (* (- 2 y) (- (* 2 y) (+ 2 (* -1 y)))))) (* (+ (* -1 (* (- (* 2 y) (+ 2 (* -1 y))) (- (+ 2 (* -1 y)) y))) (* y (- 2 y))) (- (+ 2 (* -1 y)) y))) (pow x 3))) (* 2 (/ y x))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (- (* 2 y) (+ 2 (* -1 y))) (- (+ 2 (* -1 y)) y)) (pow x 2))) (+ (* 2 (/ 1 x)) (/ (* y (- 2 y)) (pow x 2))))))) x)
(/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 y) (+.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y)) (-.f64 #s(literal 2 binary64) y) (.f64 (fma.f64 (neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y)) (+.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y) (.f64 (-.f64 #s(literal 2 binary64) y) y)) (-.f64 (-.f64 #s(literal 2 binary64) y) y))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y)) (+.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y) (*.f64 (-.f64 #s(literal 2 binary64) y) y)) x) #s(literal 2 binary64)) x)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (+ (* -1 (/ y x)) (* 2 (/ 1 x))) (+ 1 (/ y x))))
(.f64 (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (* 2 (/ 1 x)) (/ (* y (- 2 y)) (pow x 2)))) (+ 1 (/ y x))))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) y (-.f64 #s(literal 2 binary64) y)) x) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (.f64 x x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (neg.f64 x)) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(-.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) y))) x)) (neg.f64 x)) #s(literal 1 binary64))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))))
(*.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) y) (neg.f64 x))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x))
(* -1 (/ (- (+ 1 (* -1 (/ y x))) (+ (* -1 (/ (- 2 y) x)) (/ y x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) (+ y (* -1 (- 2 y))))) (* -1 (/ (+ (* -1 (* (+ y (* -1 (- 2 y))) (- (* -1 y) (+ y (* -1 (- 2 y)))))) (* y (- 2 y))) x))) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (neg.f64 y) (-.f64 y (-.f64 #s(literal 2 binary64) y)))) (/.f64 (fma.f64 (neg.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y))) (-.f64 (neg.f64 y) (-.f64 y (-.f64 #s(literal 2 binary64) y))) (*.f64 (-.f64 #s(literal 2 binary64) y) y)) x)) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) (+ y (* -1 (- 2 y))))) (* -1 (/ (+ (* -1 (* (+ y (* -1 (- 2 y))) (- (* -1 y) (+ y (* -1 (- 2 y)))))) (+ (* -1 (/ (+ (* -1 (* y (* (- 2 y) (- (* -1 y) (+ y (* -1 (- 2 y))))))) (* (+ y (* -1 (- 2 y))) (+ (* -1 (* (+ y (* -1 (- 2 y))) (- (* -1 y) (+ y (* -1 (- 2 y)))))) (* y (- 2 y))))) x)) (* y (- 2 y)))) x))) x))) x))
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(.f64 (-.f64 (/.f64 (neg.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y))) x) #s(literal 1 binary64)) (.f64 x x))
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(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (-.f64 (*.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ x (* -1 y))
(-.f64 x y)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* -1/4 y) 1/2))
(.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y)
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) y) #s(literal 1/8 binary64)) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)
-2
#s(literal -2 binary64)
(- y 2)
(-.f64 y #s(literal 2 binary64))
(/ (+ 2 (* -2 x)) y)
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y)
(/ (+ 2 (+ y (* -2 x))) y)
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) x y) #s(literal 2 binary64)) y)
(/ 1 (- 2 x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))
(+ (* y (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x)))))) (/ 1 (- 2 x)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) x)) y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (+ (* 2 (/ 1 (pow (- 2 x) 2))) (* y (- (/ 1 (* x (pow (- 2 x) 2))) (/ (* (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (- (+ 2 (* -1 x)) x)) (* x (- 2 x)))))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x)))))) (/ 1 (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) x) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) x)))) y (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) x))) y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (+ (* 2 (/ 1 (pow (- 2 x) 2))) (* y (- (+ (* -1 (* y (+ (* -1 (/ (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (* x (- 2 x)))) (/ (* (- (+ 2 (* -1 x)) x) (- (/ 1 (* x (pow (- 2 x) 2))) (/ (* (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (- (+ 2 (* -1 x)) x)) (* x (- 2 x))))) (* x (- 2 x)))))) (/ 1 (* x (pow (- 2 x) 2)))) (/ (* (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (- (+ 2 (* -1 x)) x)) (* x (- 2 x)))))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x)))))) (/ 1 (- 2 x)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) x) (.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) x)))) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) x) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) x))))) y (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) x))) y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(* x (- 2 x))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(+ (* x (- 2 x)) (* y (- (+ 2 (* -1 x)) x)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(+ (* x (- 2 x)) (* y (- (+ 2 (+ (* -1 x) (* -1 y))) x)))
(fma.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x) x) y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x)) y) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) y) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x)) y) (-.f64 #s(literal 2 binary64) x)) y)))
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y)
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
(+.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal 4 binary64)) y) y) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(* y (- 1 (* 2 (/ 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) y) #s(literal 1 binary64)) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (- 2 x))) (* -1 (* (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x))) (- (+ 2 (* -1 x)) x)))) (pow y 2))))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))) y)
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) x))) y) x) y) #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64))) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (* (- 2 x) (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x)))))) (* (+ (* -1 (* x (- 2 x))) (* -1 (* (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x))) (- (+ 2 (* -1 x)) x)))) (- (+ 2 (* -1 x)) x))) (pow y 3))))) (+ (* -1 (/ (* x (- 2 x)) (pow y 2))) (+ (* -1 (/ (* (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x))) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))))) y)
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (fma.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 2 binary64) x) x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 2 binary64) x) x))) y) (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) y)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (* 2 (/ 1 y))) (+ 1 (/ x y))))
(.f64 (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)) y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* x (- 2 x)) (pow y 2)))) (+ 1 (/ x y))))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) x (-.f64 #s(literal 2 binary64) x)) y) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (.f64 y y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (-.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)))) (neg.f64 y)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal 4 binary64)) y) #s(literal -1 binary64) #s(literal -2 binary64)) y))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 x) (+ x (* -1 (- 2 x)))) y)) 1) y))
(/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (* (+ x (* -1 (- 2 x))) (- (* -1 x) (+ x (* -1 (- 2 x))))) y)) (/ (* x (- 2 x)) y))) (+ x (* -1 (- 2 x)))) y)) 1) y))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) y) (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x)) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (* x (* (- 2 x) (- (* -1 x) (+ x (* -1 (- 2 x)))))) y)) (/ (* (+ x (* -1 (- 2 x))) (+ (* -1 (* (+ x (* -1 (- 2 x))) (- (* -1 x) (+ x (* -1 (- 2 x)))))) (* x (- 2 x)))) y)) (+ (* -1 (* (+ x (* -1 (- 2 x))) (- (* -1 x) (+ x (* -1 (- 2 x)))))) (* x (- 2 x)))) y))) (+ x (* -1 (- 2 x)))) y)) 1) y))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (-.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x)) x) (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x))) y) (fma.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 2 binary64) x) x))) (neg.f64 y)) (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x)) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 (- 2 x))) y)) 1))
(.f64 (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)) y) y)
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 (- 2 x)) (* -1 (/ (* x (- 2 x)) y)))) y)) 1))
(.f64 (-.f64 (/.f64 (-.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) x (-.f64 #s(literal 2 binary64) x))) (neg.f64 y)) #s(literal 1 binary64)) (.f64 y y))

rewrite468.0ms (8.3%)

Memory

-8.2MiB live, 424.1MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	159
0	46	159
1	212	151
2	1658	151
0	8886	151

Stop Event

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

Counts

17 → 630

Calls

Call 1

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

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

eval226.0ms (4%)

Memory: 18.8MiB live, 296.8MiB allocated; 31ms collecting garbage
Compiler: Compiled 32 318 to 3 416 computations (89.4% saved)

prune89.0ms (1.6%)

Memory

-38.7MiB live, 59.0MiB allocated; 15ms collecting garbage

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	860	5	865
Fresh	2	6	8
Picked	2	3	5
Done	0	1	1
Total	864	15	879

Accuracy

100.0%

Counts

879 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	88.6%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))))
▶	87.8%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))
	60.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
▶	41.0%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
	50.2%	(.f64 (+.f64 y x) #s(approx (/ (- x y) ( (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))))
✓	50.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
	51.6%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	41.3%	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
▶	35.1%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 1 binary64)))
	18.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)))
▶	17.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y)))
	17.7%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)))
▶	34.4%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
✓	40.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 453 to 329 computations (27.4% saved)

simplify168.0ms (3%)

Memory

14.6MiB live, 206.7MiB allocated; 48ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(/.f64 #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) y)
cost-diff	0	(+.f64 (/.f64 #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 2 (+ x y)) (neg.f64 x))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
cost-diff	0	(-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y)
cost-diff	0	#s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y)))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))
cost-diff	3	(fma.f64 (/.f64 x y) y y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	209
0	49	209
1	76	209
2	95	205
3	127	197
4	195	197
5	538	197
6	2491	197
7	5732	197
8	7415	197
0	8044	193

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (2.5%)

Memory

14.4MiB live, 205.3MiB allocated; 71ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (/.f64 #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	29.908133690016733	#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))
accuracy	41.850169249091714	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 1 binary64)))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(neg.f64 x)
accuracy	0.03125	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
accuracy	37.68995095816061	#s(approx (- 2 (+ x y)) (neg.f64 x))
accuracy	0.0	(*.f64 #s(literal -1/4 binary64) y)
accuracy	0.015625	(.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y)
accuracy	31.043551283128046	#s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))
accuracy	31.755439645385984	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y)))
accuracy	41.987973621147816	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
accuracy	0.0	(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
accuracy	0.0	#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
accuracy	0.03125	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))
accuracy	7.5357920756660635	(fma.f64 (/.f64 x y) y y)

Samples

88.0ms

256×

valid

Compiler

Compiled 135 to 26 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 30.0ms (42.7% of total)

ival-sub: 18.0ms (25.6% of total)

ival-add: 11.0ms (15.7% of total)

ival-div: 8.0ms (11.4% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

series17.0ms (0.3%)

Memory

8.9MiB live, 53.6MiB allocated; 3ms collecting garbage

Counts

19 → 73

Calls

Call 1

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

Outputs
y
(+ x y)
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 y)
(- x y)
(- 2 y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(/ 2 y)
(+ (* -2 (/ x y)) (* 2 (/ 1 y)))
2
(+ 2 (* -2 x))
(* -2 x)
x
(* x (+ 1 (/ y x)))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(* x (+ 1 (* -1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -2 (/ x y))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))
(* x (- (* 2 (/ 1 x)) 2))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ x (* -1 y))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
-1/2
(- (* -1/4 y) 1/2)
(/ (+ 2 (* -2 x)) y)
(/ (+ 2 (+ y (* -2 x))) y)
(* -1/4 y)
(* y (+ 1 (/ x y)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* y (- (/ x y) 1))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
(* -1/4 (pow y 2))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((+ (* (/ x y) y) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (+ (/ (+ (* -2 x) 2) y) 1) (/ (+ (* -2 x) 2) y) (+ (* -2 x) 2) (+ x y) (* -1/4 y) (* -2 x))
2.0ms	x	@	-inf	((+ (* (/ x y) y) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (+ (/ (+ (* -2 x) 2) y) 1) (/ (+ (* -2 x) 2) y) (+ (* -2 x) 2) (+ x y) (* -1/4 y) (* -2 x))
2.0ms	y	@	0	((+ (* (/ x y) y) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (+ (/ (+ (* -2 x) 2) y) 1) (/ (+ (* -2 x) 2) y) (+ (* -2 x) 2) (+ x y) (* -1/4 y) (* -2 x))
2.0ms	y	@	inf	((+ (* (/ x y) y) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (+ (/ (+ (* -2 x) 2) y) 1) (/ (+ (* -2 x) 2) y) (+ (* -2 x) 2) (+ x y) (* -1/4 y) (* -2 x))
2.0ms	x	@	0	((+ (* (/ x y) y) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (+ (/ (+ (* -2 x) 2) y) 1) (/ (+ (* -2 x) 2) y) (+ (* -2 x) 2) (+ x y) (* -1/4 y) (* -2 x))

simplify193.0ms (3.4%)

Memory

-2.1MiB live, 227.1MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	928
1	798	895
2	2670	804
0	8495	770

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 71

Calls

Call 1

Inputs
y
(+ x y)
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 y)
(- x y)
(- 2 y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(/ 2 y)
(+ (* -2 (/ x y)) (* 2 (/ 1 y)))
2
(+ 2 (* -2 x))
(* -2 x)
x
(* x (+ 1 (/ y x)))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(* x (+ 1 (* -1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -2 (/ x y))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))
(* x (- (* 2 (/ 1 x)) 2))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ x (* -1 y))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
-1/2
(- (* -1/4 y) 1/2)
(/ (+ 2 (* -2 x)) y)
(/ (+ 2 (+ y (* -2 x))) y)
(* -1/4 y)
(* y (+ 1 (/ x y)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* y (- (/ x y) 1))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
(* -1/4 (pow y 2))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))

Outputs
y
(+ x y)
(+.f64 y x)
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 #s(literal -2 binary64) y))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
(* -1 x)
(neg.f64 x)
(+ 1 (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) x y) #s(literal 2 binary64)) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(+ (* -2 (/ x y)) (* 2 (/ 1 y)))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x)
(* -2 (/ x y))
(*.f64 (/.f64 x y) #s(literal -2 binary64))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) y) x #s(literal 1 binary64))
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) y) x)
(* x (- (* 2 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) x) #s(literal 1 binary64))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) y) x #s(literal 1 binary64))
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))))
(*.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) y) (neg.f64 x))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64) #s(literal -2 binary64)) x)
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (neg.f64 y)) (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y (-.f64 (/.f64 y (pow.f64 (+.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ x (* -1 y))
(-.f64 x y)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* -1/4 y) 1/2))
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) y) #s(literal 1/8 binary64)) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)
-1/2
#s(literal -1/2 binary64)
(- (* -1/4 y) 1/2)
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64))
(/ (+ 2 (* -2 x)) y)
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y)
(/ (+ 2 (+ y (* -2 x))) y)
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) x y) #s(literal 2 binary64)) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) x y) #s(literal 2 binary64)) y)
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) x y) #s(literal 2 binary64)) y) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (+.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y)
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal 4 binary64)) y) y) (-.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(* -1/4 (pow y 2))
(.f64 (.f64 #s(literal -1/4 binary64) y) y)
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) x y) #s(literal 2 binary64)) y)
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+.f64 (/.f64 (fma.f64 (+.f64 #s(literal -2 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) y) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 y)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal 4 binary64)) y) #s(literal -1 binary64) #s(literal -2 binary64)) y))

rewrite269.0ms (4.8%)

Memory

-27.9MiB live, 306.5MiB allocated; 90ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	190
0	49	190
1	187	190
2	1240	190
0	8822	186

Stop Event

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

Counts

19 → 215

Calls

Call 1

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

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

eval55.0ms (1%)

Memory: 33.2MiB live, 175.2MiB allocated; 16ms collecting garbage
Compiler: Compiled 12 653 to 1 281 computations (89.9% saved)

prune12.0ms (0.2%)

Memory

-2.3MiB live, 44.0MiB allocated; 2ms collecting garbage

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	311	3	314
Fresh	1	5	6
Picked	1	4	5
Done	0	4	4
Total	313	16	329

Accuracy

100.0%

Counts

329 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	88.6%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))))
✓	87.8%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))
▶	60.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
✓	41.0%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
▶	50.2%	(.f64 (+.f64 y x) #s(approx (/ (- x y) ( (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))))
✓	50.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
	51.6%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	41.3%	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
✓	35.1%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 1 binary64)))
▶	17.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
▶	18.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)))
▶	17.7%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y)))
	3.3%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) #s(approx (* (- (* -1/4 y) 1/2) y) (.f64 (.f64 #s(literal -1/4 binary64) y) y))))
✓	34.4%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
✓	40.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 459 to 334 computations (27.2% saved)

simplify31.0ms (0.5%)

Memory

-5.9MiB live, 39.8MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))
cost-diff	0	#s(approx (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) #s(approx (/ (- x y) ( (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))))
cost-diff	0	(-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)
cost-diff	0	#s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)))
cost-diff	0	(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)
cost-diff	0	#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
cost-diff	0	#s(approx (- (* -1/4 y) 1/2) #s(literal -1/2 binary64))
cost-diff	0	(.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y)
cost-diff	0	#s(approx (/ y (+ -2 y)) (.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y)))
cost-diff	0	(-.f64 #s(literal 2 binary64) y)
cost-diff	0	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	276
0	59	276
1	95	276
2	139	276
3	192	276
4	274	276
5	421	276
6	663	276
7	881	276
8	1029	276
9	1114	276
10	1177	276
11	1190	276
0	1190	276

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y)))
#s(approx (/ y (+ -2 y)) (.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y))
(.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y)
#s(approx (- (* -1/4 y) 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64))
#s(literal -1/4 binary64)
y
#s(literal -1/2 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)))
#s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)
(-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64))
(.f64 (-.f64 (.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y)
(-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64))
(*.f64 #s(literal -1/8 binary64) y)
#s(literal -1/8 binary64)
y
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(.f64 (+.f64 y x) #s(approx (/ (- x y) ( (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))))
(+.f64 y x)
y
x
#s(approx (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))
#s(literal -1 binary64)
(-.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

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

localize76.0ms (1.3%)

Memory

25.5MiB live, 169.8MiB allocated; 12ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))
accuracy	0.140625	(.f64 (+.f64 y x) #s(approx (/ (- x y) ( (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))))
accuracy	31.652843728152288	#s(approx (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)))
accuracy	0.01953125	(.f64 (-.f64 (.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y)
accuracy	0.03125	(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)
accuracy	30.411451032835526	#s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y))
accuracy	31.755439645385984	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)))
accuracy	0.0	(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64))
accuracy	0.015625	(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)
accuracy	31.043551283128046	#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))
accuracy	31.755439645385984	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
accuracy	0.015625	(.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y)
accuracy	30.967440666509557	#s(approx (- (* -1/4 y) 1/2) #s(literal -1/2 binary64))
accuracy	31.043551283128046	#s(approx (/ y (+ -2 y)) (.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y))
accuracy	31.755439645385984	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y)))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(-.f64 #s(literal 2 binary64) y)
accuracy	0.03125	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
accuracy	25.34314257029547	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))

Samples

53.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 180 to 35 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sub: 13.0ms (34.6% of total)

ival-mult: 12.0ms (31.9% of total)

ival-div: 6.0ms (16% of total)

ival-add: 5.0ms (13.3% of total)

exact: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

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

series13.0ms (0.2%)

Memory

-18.7MiB live, 26.8MiB allocated; 5ms collecting garbage

Counts

21 → 99

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
(-.f64 x y)
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 2 binary64) y)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y)))
#s(approx (/ y (+ -2 y)) (.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y))
(.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y)
#s(approx (- (* -1/4 y) 1/2) #s(literal -1/2 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)))
#s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)
(-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64))
(.f64 (+.f64 y x) #s(approx (/ (- x y) ( (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))))
(+.f64 y x)
#s(approx (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))
(.f64 (-.f64 (.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y)

Outputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 y)
(- x y)
(- 2 y)
(- (+ 2 (* -1 x)) y)
y
(+ x y)
(/ -1 (- 2 y))
(- (* x (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (/ 1 (- 2 y)))
(- (* x (- (+ (* -1 (* x (+ (/ 1 (* y (pow (- 2 y) 2))) (/ (* (- (+ 2 (* -1 y)) y) (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (* y (- 2 y)))))) (/ 1 (* y (- 2 y)))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (/ 1 (- 2 y)))
(- (* x (- (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (/ 1 (* y (pow (- 2 y) 2))) (/ (* (- (+ 2 (* -1 y)) y) (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (* y (- 2 y)))) (- (+ 2 (* -1 y)) y)) (* y (- 2 y)))) (* -1 (/ (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2))))) (* y (- 2 y))))))) (+ (/ 1 (* y (pow (- 2 y) 2))) (/ (* (- (+ 2 (* -1 y)) y) (- (/ 1 (* y (- 2 y))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (* y (- 2 y)))))) (/ 1 (* y (- 2 y)))) (* -1 (/ (- (+ 2 (* -1 y)) y) (* y (pow (- 2 y) 2)))))) (/ 1 (- 2 y)))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (+ 1 (/ y x)))
(/ -1 x)
(/ (- (* 2 (/ y x)) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ 1 x))))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (* (- (* 2 y) (+ 2 (* -1 y))) (- (+ 2 (* -1 y)) y))) (* y (- 2 y))) (pow x 2))) (* 2 (/ y x))) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ 1 x))))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (* y (* (- 2 y) (- (* 2 y) (+ 2 (* -1 y)))))) (* (+ (* -1 (* (- (* 2 y) (+ 2 (* -1 y))) (- (+ 2 (* -1 y)) y))) (* y (- 2 y))) (- (+ 2 (* -1 y)) y))) (pow x 3))) (* 2 (/ y x))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (- (* 2 y) (+ 2 (* -1 y))) (- (+ 2 (* -1 y)) y)) (pow x 2))) (+ (* 2 (/ 1 x)) (/ (* y (- 2 y)) (pow x 2))))))) x)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (- (+ 1 (* -1 (/ y x))) (+ (* -1 (/ (- 2 y) x)) (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) (+ y (* -1 (- 2 y))))) (* -1 (/ (+ (* -1 (* (+ y (* -1 (- 2 y))) (- (* -1 y) (+ y (* -1 (- 2 y)))))) (* y (- 2 y))) x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) (+ y (* -1 (- 2 y))))) (* -1 (/ (+ (* -1 (* (+ y (* -1 (- 2 y))) (- (* -1 y) (+ y (* -1 (- 2 y)))))) (+ (* -1 (/ (+ (* -1 (* y (* (- 2 y) (- (* -1 y) (+ y (* -1 (- 2 y))))))) (* (+ y (* -1 (- 2 y))) (+ (* -1 (* (+ y (* -1 (- 2 y))) (- (* -1 y) (+ y (* -1 (- 2 y)))))) (* y (- 2 y))))) x)) (* y (- 2 y)))) x))) x))) x))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ x (* -1 y))
(- 2 x)
(- (+ 2 (* -1 y)) x)
2
(+ 2 (* -1 y))
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
-1/2
(- (* -1/4 y) 1/2)
(- (* y (- (* -1/8 y) 1/4)) 1/2)
(/ 1 (- 2 x))
(+ (* y (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x)))))) (/ 1 (- 2 x)))
(+ (* y (- (+ (* 2 (/ 1 (pow (- 2 x) 2))) (* y (- (/ 1 (* x (pow (- 2 x) 2))) (/ (* (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (- (+ 2 (* -1 x)) x)) (* x (- 2 x)))))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x)))))) (/ 1 (- 2 x)))
(+ (* y (- (+ (* 2 (/ 1 (pow (- 2 x) 2))) (* y (- (+ (* -1 (* y (+ (* -1 (/ (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (* x (- 2 x)))) (/ (* (- (+ 2 (* -1 x)) x) (- (/ 1 (* x (pow (- 2 x) 2))) (/ (* (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (- (+ 2 (* -1 x)) x)) (* x (- 2 x))))) (* x (- 2 x)))))) (/ 1 (* x (pow (- 2 x) 2)))) (/ (* (- (* 2 (/ 1 (pow (- 2 x) 2))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x))))) (- (+ 2 (* -1 x)) x)) (* x (- 2 x)))))) (+ (* 2 (/ 1 (* x (pow (- 2 x) 2)))) (/ 1 (* x (- 2 x)))))) (/ 1 (- 2 x)))
(- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)
(* -1/4 y)
(* y (- (* -1/8 y) 1/4))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* y (- (/ x y) 1))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) 1))
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
(* -1/4 (pow y 2))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1/8 (pow y 3))
(* -1 (* (pow y 3) (+ 1/8 (* 1/4 (/ 1 y)))))
(* (pow y 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 y))) y)) 1/8))
(* -1/8 (pow y 2))
(* -1 (* (pow y 2) (+ 1/8 (* 1/4 (/ 1 y)))))
(* (pow y 2) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 y))) y)) 1/8))
(* y (+ 1 (/ x y)))
(/ 1 y)
(/ (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (- 2 x))) (* -1 (* (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x))) (- (+ 2 (* -1 x)) x)))) (pow y 2))))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (* (- 2 x) (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x)))))) (* (+ (* -1 (* x (- 2 x))) (* -1 (* (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x))) (- (+ 2 (* -1 x)) x)))) (- (+ 2 (* -1 x)) x))) (pow y 3))))) (+ (* -1 (/ (* x (- 2 x)) (pow y 2))) (+ (* -1 (/ (* (- (* -1 x) (* -1 (- (+ 2 (* -1 x)) x))) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))))) y)
(/ (+ 1 (* 2 (/ 1 y))) y)
(/ (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) y)
(/ (+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) y)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
(* -1 (* (pow y 3) (+ 1/8 (+ (/ 1/2 (pow y 2)) (* 1/4 (/ 1 y))))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (- (* -1 (/ (- (* -1 x) (+ x (* -1 (- 2 x)))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (* (+ x (* -1 (- 2 x))) (- (* -1 x) (+ x (* -1 (- 2 x))))) y)) (/ (* x (- 2 x)) y))) (+ x (* -1 (- 2 x)))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (* x (* (- 2 x) (- (* -1 x) (+ x (* -1 (- 2 x)))))) y)) (/ (* (+ x (* -1 (- 2 x))) (+ (* -1 (* (+ x (* -1 (- 2 x))) (- (* -1 x) (+ x (* -1 (- 2 x)))))) (* x (- 2 x)))) y)) (+ (* -1 (* (+ x (* -1 (- 2 x))) (- (* -1 x) (+ x (* -1 (- 2 x)))))) (* x (- 2 x)))) y))) (+ x (* -1 (- 2 x)))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 y)) (/ 8 (pow y 2)))) y)) 1) y))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* (- (* -1/8 y) 1/4) y) 1/2) y) (- (* (- (* -1/8 y) 1/4) y) 1/2) (* (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x)))) (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (/ -1 (- 2 y)) (* (- (* -1/8 y) 1/4) y))
2.0ms	x	@	inf	((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* (- (* -1/8 y) 1/4) y) 1/2) y) (- (* (- (* -1/8 y) 1/4) y) 1/2) (* (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x)))) (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (/ -1 (- 2 y)) (* (- (* -1/8 y) 1/4) y))
2.0ms	y	@	-inf	((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* (- (* -1/8 y) 1/4) y) 1/2) y) (- (* (- (* -1/8 y) 1/4) y) 1/2) (* (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x)))) (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (/ -1 (- 2 y)) (* (- (* -1/8 y) 1/4) y))
2.0ms	y	@	inf	((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* (- (* -1/8 y) 1/4) y) 1/2) y) (- (* (- (* -1/8 y) 1/4) y) 1/2) (* (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x)))) (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (/ -1 (- 2 y)) (* (- (* -1/8 y) 1/4) y))
1.0ms	x	@	0	((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* (- (* -1/8 y) 1/4) y) 1/2) y) (- (* (- (* -1/8 y) 1/4) y) 1/2) (* (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x)))) (+ y x) (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (/ -1 (- 2 y)) (* (- (* -1/8 y) 1/4) y))

simplify214.0ms (3.8%)

Memory

4.1MiB live, 183.6MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	2270
1	1586	2089
2	6348	2011
0	8191	1967

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 97

Calls

Call 1

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

rewrite228.0ms (4%)

Memory

-15.9MiB live, 287.6MiB allocated; 97ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	249
0	59	249
1	226	249
2	1507	249
0	8326	249

Stop Event

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

Counts

21 → 271

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
(-.f64 x y)
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 2 binary64) y)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y)))
#s(approx (/ y (+ -2 y)) (.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y))
(.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y)
#s(approx (- (* -1/4 y) 1/2) #s(literal -1/2 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)))
#s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)
(-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64))
(.f64 (+.f64 y x) #s(approx (/ (- x y) ( (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))))
(+.f64 y x)
#s(approx (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))
(.f64 (-.f64 (.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y)

Outputs
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(.f64 (/.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y))) (neg.f64 (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (neg.f64 y))) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (.f64 x (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (neg.f64 y))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y)) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))))))
(-.f64 (/.f64 (.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 y y) (.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 (neg.f64 y) y) (.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(.f64 (/.f64 (+.f64 y x) (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (/.f64 (+.f64 y x) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(.f64 (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(.f64 (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)) (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 y (+.f64 y x) (*.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 y (+.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(fma.f64 (/.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 x) (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 x) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fabs.f64 x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 x (+.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 x y)
(+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x)) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (-.f64 x y))) (.f64 (fma.f64 y y (.f64 x (-.f64 x y))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y y (.f64 x (-.f64 x y))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.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 y y (*.f64 x (-.f64 x y)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(fma.f64 (/.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x)))) (/.f64 (neg.f64 x) (-.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 y y (.f64 x (-.f64 x y)))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (fabs.f64 x) (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x)))) (/.f64 (fabs.f64 x) (-.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (fabs.f64 x) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fabs.f64 x) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (fabs.f64 x) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fabs.f64 x) (fma.f64 y y (.f64 x (-.f64 x y)))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 x (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x)))) (/.f64 x (-.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 x (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 x (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 y y (.f64 x (-.f64 x y)))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (fabs.f64 x) (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 x (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 x (-.f64 x y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 x y)))
(-.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 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (-.f64 x y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (-.f64 x y)))))
(+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 x y)))
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 y x)))
(+.f64 y x)
(+.f64 x y)
#s(approx (/ (- x y) (* (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4 binary64) (.f64 y y))) (+.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)))
(pow.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))
(neg.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y)
(.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (*.f64 y y)) #s(literal 1/16 binary64)) y)) (neg.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/64 binary64)) y)) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 y y) (fma.f64 y #s(literal -1/32 binary64) #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (.f64 y (-.f64 (.f64 #s(literal 1/64 binary64) (*.f64 y y)) #s(literal 1/16 binary64)))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 y (-.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/64 binary64)))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 y y) (fma.f64 y #s(literal -1/32 binary64) #s(literal 1/16 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (*.f64 y y)) #s(literal 1/16 binary64)) y) (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/64 binary64)) y) (fma.f64 #s(literal 1/64 binary64) (*.f64 y y) (fma.f64 y #s(literal -1/32 binary64) #s(literal 1/16 binary64))))
(/.f64 (.f64 y (-.f64 (.f64 #s(literal 1/64 binary64) (*.f64 y y)) #s(literal 1/16 binary64))) (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/4 binary64)))
(/.f64 (.f64 y (-.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 y y) (fma.f64 y #s(literal -1/32 binary64) #s(literal 1/16 binary64))))

eval47.0ms (0.8%)

Memory: 36.6MiB live, 81.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 16 371 to 1 728 computations (89.4% saved)

prune60.0ms (1.1%)

Memory

-2.0MiB live, 41.9MiB allocated; 5ms collecting garbage

Pruning

18 alts after pruning (5 fresh and 13 done)

	Pruned	Kept	Total
New	377	3	380
Fresh	1	2	3
Picked	0	5	5
Done	0	8	8
Total	378	18	396

Accuracy

100.0%

Counts

396 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	88.6%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))))
✓	87.8%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))
✓	60.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
✓	41.0%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
	27.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	50.2%	(.f64 (+.f64 y x) #s(approx (/ (- x y) ( (- 2 (+ y x)) (+ y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))))
✓	50.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
	51.6%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	41.3%	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
✓	35.1%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 1 binary64)))
	17.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (fma.f64 (.f64 #s(literal -1/4 binary64) y) y (.f64 #s(literal -1/2 binary64) y))))
✓	17.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
✓	18.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y)))
✓	17.7%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (- ( -1/4 y) 1/2) #s(literal -1/2 binary64)) y)))
	3.3%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) #s(approx (* (- (* -1/4 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/4 binary64)))))
✓	34.4%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
✓	40.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 805 to 366 computations (54.5% saved)

regimes30.0ms (0.5%)

Memory

-8.3MiB live, 43.2MiB allocated; 12ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	y
7.0ms	x
6.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes19.0ms (0.3%)

Memory

-16.0MiB live, 28.1MiB allocated; 8ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
5.0ms	y
4.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`
89.5%	3	`x`
74.3%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.1%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

10 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
92.1%	4	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes10.0ms (0.2%)

Memory

-28.0MiB live, 15.6MiB allocated; 6ms collecting garbage

Counts

9 → 5

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
2.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
70.1%	5	`x`
91.5%	5	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes3.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
87.7%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
86.9%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes1.0ms (0%)

Memory

4.2MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
73.6%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
40.9%	1	`x`
40.9%	1	`y`
40.9%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999758272689364	-7.2699926127226645e-6

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.2622090417619754e-58	6.268589353967501e-52
0.0ms	-2.9836852125387973e-7	-5.723960893996386e-12

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-3.672654091960579e-153	-2.962015721183933e-162
0.0ms	-1.0285871475715289e-54	-3.8189644191329542e-59
0.0ms	-2.9836852125387973e-7	-5.723960893996386e-12

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.2529332578720349	0.9978499186546262
0.0ms	-3.672654091960579e-153	-2.962015721183933e-162
0.0ms	-1.0285871475715289e-54	-3.8189644191329542e-59
0.0ms	-2.9836852125387973e-7	-5.723960893996386e-12

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2529332578720349	0.9978499186546262
0.0ms	-0.9999758272689364	-7.2699926127226645e-6

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2529332578720349	0.9978499186546262
0.0ms	-0.9999758272689364	-7.2699926127226645e-6

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch34.0ms (0.6%)

Memory

-30.5MiB live, 16.6MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-2.7429437542630585e-275	6.475972464754339e-265

Samples

26.0ms

208×

valid

Compiler

Compiled 298 to 272 computations (8.7% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	511
1	87	497
2	101	497
3	105	497

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1725436586697641/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1725436586697641/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1725436586697641/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))))
(if (or (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) (not (or (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1725436586697641/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (not (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)))))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1725436586697641/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

derivations918.0ms (16.2%)

Memory

-9.5MiB live, 664.9MiB allocated; 112ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	2428
1	1672	2235
2	6578	2155
0	8149	2059
0	186	709
1	572	677
2	1927	594
0	8256	570
0	267	928
1	798	895
2	2670	804
0	8495	770
0	480	2270
1	1586	2089
2	6348	2011
0	8191	1967

Stop Event

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

Compiler

Compiled 497 to 71 computations (85.7% saved)

preprocess79.0ms (1.4%)

Memory: 17.3MiB live, 107.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 042 to 172 computations (83.5% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	19	55
1	47	55
2	63	55
3	71	55
4	83	55
5	95	55
6	117	55
7	129	55
8	142	55
9	149	55
10	151	55
11	155	55
12	159	55
13	163	55
0	7	9
0	11	9
1	19	9
2	23	9
0	23	9

Iter	Nodes	Cost
0	19	55
1	47	55
2	63	55
3	71	55
4	83	55
5	95	55
6	117	55
7	129	55
8	142	55
9	149	55
10	151	55
11	155	55
12	159	55
13	163	55
0	7	9
0	11	9
1	19	9
2	23	9
0	23	9

start0.0ms (0%)

analyze23.0ms (0.4%)

sample884.0ms (15.6%)

explain75.0ms (1.3%)

preprocess20.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize58.0ms (1%)

series5.0ms (0.1%)

simplify158.0ms (2.8%)

rewrite194.0ms (3.4%)

eval84.0ms (1.5%)

prune12.0ms (0.2%)

simplify397.0ms (7%)

localize79.0ms (1.4%)

series17.0ms (0.3%)

simplify216.0ms (3.8%)

rewrite468.0ms (8.3%)

eval226.0ms (4%)

prune89.0ms (1.6%)

simplify168.0ms (3%)

localize140.0ms (2.5%)

series17.0ms (0.3%)

simplify193.0ms (3.4%)

rewrite269.0ms (4.8%)

eval55.0ms (1%)

prune12.0ms (0.2%)

simplify31.0ms (0.5%)

localize76.0ms (1.3%)

series13.0ms (0.2%)

simplify214.0ms (3.8%)

rewrite228.0ms (4%)

eval47.0ms (0.8%)

prune60.0ms (1.1%)

regimes30.0ms (0.5%)

regimes19.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes10.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch34.0ms (0.6%)

simplify13.0ms (0.2%)

derivations918.0ms (16.2%)

preprocess79.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	55
1	47	55
2	63	55
3	71	55
4	83	55
5	95	55
6	117	55
7	129	55
8	142	55
9	149	55
10	151	55
11	155	55
12	159	55
13	163	55
0	7	9
0	11	9
1	19	9
2	23	9
0	23	9