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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze33.0ms (0.6%)

Memory

-24.3MiB live, 14.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (19.3%)

Memory

4.0MiB live, 910.7MiB allocated

Samples

780.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 407.0ms

ival-mult: 235.0ms (57.8% of total)

ival-div: 116.0ms (28.5% of total)

ival-sub: 41.0ms (10.1% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain187.0ms (3.4%)

Memory

43.3MiB live, 117.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
61	-	7	(6.027036386087661e-285 6.464487948656028e-32)	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	29	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	29
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	25	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	25

Confusion

	Predicted +	Predicted -
+	54	7
-	0	195

Precision

1.0

Recall

0.8852459016393442

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	7
-	0	0	195

Precision?

1.0

Recall?

0.8852459016393442

Freqs

test

number	freq
0	202
1	54

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (51.3% of total)

ival-sub: 3.0ms (22% of total)

ival-div: 3.0ms (22% of total)

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

exact: 0.0ms (0% of total)

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

preprocess202.0ms (3.7%)

Memory

-12.0MiB live, 74.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	62	45
2	212	45
3	780	45
4	2705	45
5	3395	45
6	3579	45
7	3593	45
8	3608	45
9	3613	45
10	3613	45
11	3817	45
12	3913	45
13	3913	45
14	4017	45
15	4614	45
0	7	9
0	11	9
1	19	9
2	40	9
3	64	9
4	84	9
5	148	9
6	322	9
7	708	9
8	1610	9
9	2525	9
10	2542	9
11	2556	9
12	2568	9
13	2568	9
0	2568	9

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.0%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify55.0ms (1%)

Memory

4.7MiB live, 39.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	19	23
2	40	23
3	64	23
4	84	23
5	148	23
6	322	23
7	708	23
8	1610	23
9	2525	23
10	2542	23
11	2556	23
12	2568	23
13	2568	23
0	2568	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.5%)

Memory

-20.6MiB live, 51.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	13.40881374663404	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

19.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

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

ival-div: 4.0ms (41% of total)

ival-mult: 4.0ms (41% of total)

ival-sub: 1.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

4 → 28

Calls

Call 1

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

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

Calls

6 calls:

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

simplify256.0ms (4.7%)

Memory

-4.5MiB live, 213.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	337
1	378	323
2	1027	303
3	3113	297
4	6493	297
0	8219	268

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

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

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

rewrite349.0ms (6.4%)

Memory

-4.6MiB live, 105.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	40	20
2	250	20
3	2753	20
0	9283	20

Stop Event

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

Counts

4 → 405

Calls

Call 1

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

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

eval122.0ms (2.2%)

Memory: 21.0MiB live, 99.9MiB allocated
Compiler: Compiled 10 640 to 1 340 computations (87.4% saved)

prune11.0ms (0.2%)

Memory

2.7MiB live, 39.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	414	7	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	415	7	422

Accuracy

100.0%

Counts

422 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.2%	(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
	78.8%	(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
▶	89.6%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
▶	47.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
▶	53.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
▶	53.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
▶	47.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 178 to 130 computations (27% saved)

simplify268.0ms (4.9%)

Memory

-34.1MiB live, 92.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	135
0	38	135
1	66	135
2	114	135
3	171	135
4	224	135
5	447	135
6	741	135
7	1618	135
8	2948	135
9	3653	135
10	3897	135
11	3991	135
12	4013	135
13	4015	135
14	4207	135
15	4279	135
16	4279	135
17	4279	135
18	4279	135
19	4351	135
20	4820	135
0	4820	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (1.6%)

Memory

-20.8MiB live, 116.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
accuracy	0.0	(/.f64 x y)
accuracy	0.05859375	(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
accuracy	33.84105930107428	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.06640625	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy	0.08203125	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy	29.811410299992797	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	29.525038010210622	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	33.42834199115779	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	0.00390625	(/.f64 x (-.f64 x y))
accuracy	6.64144350055355	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))

Samples

41.0ms

256×

valid

Compiler

Compiled 250 to 48 computations (80.8% saved)

Precisions

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

ival-mult: 15.0ms (58.2% of total)

ival-div: 7.0ms (27.1% of total)

ival-add: 2.0ms (7.8% of total)

ival-sub: 1.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

16 → 63

Calls

Call 1

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

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

Calls

6 calls:

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

simplify227.0ms (4.2%)

Memory

-6.9MiB live, 179.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	753
1	716	709
2	2023	659
3	5905	651
0	8153	602

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

Calls

Call 1

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

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

rewrite140.0ms (2.6%)

Memory

9.3MiB live, 171.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	38	122
1	129	122
2	745	122
0	8354	122

Stop Event

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

Counts

16 → 648

Calls

Call 1

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

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

eval129.0ms (2.4%)

Memory: 18.1MiB live, 136.2MiB allocated
Compiler: Compiled 18 304 to 2 357 computations (87.1% saved)

prune46.0ms (0.8%)

Memory

8.7MiB live, 46.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	681	2	683
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	683	7	690

Accuracy

100.0%

Counts

690 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.2%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
▶	78.8%	(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
✓	89.6%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
▶	47.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	53.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	53.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
✓	47.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 89 to 65 computations (27% saved)

simplify175.0ms (3.2%)

Memory

-10.7MiB live, 68.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) y)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	384	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 #s(literal -2 binary64) (-.f64 y x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) x x)
cost-diff	0	(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
0	32	84
1	62	84
2	123	84
3	192	84
4	247	84
5	581	84
6	1381	84
7	2945	84
8	3567	84
9	3876	84
10	3915	84
11	3917	84
12	3917	84
13	3926	84
14	3958	84
15	3962	84
16	3962	84
17	3962	84
0	3962	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize382.0ms (7%)

Memory

-21.3MiB live, 72.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.01171875	(/.f64 (-.f64 x y) y)
accuracy	10.099195990688742	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(*.f64 y x)
accuracy	0.0078125	(/.f64 #s(literal -2 binary64) (-.f64 y x))
accuracy	13.573570655617557	(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
accuracy	0.05859375	(fma.f64 (/.f64 x y) x x)
accuracy	33.84105930107428	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))

Samples

165.0ms

256×

valid

Compiler

Compiled 163 to 41 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 9.0ms (41.6% of total)

ival-div: 8.0ms (37% of total)

ival-sub: 2.0ms (9.2% of total)

ival-add: 1.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

12 → 70

Calls

Call 1

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

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

Calls

6 calls:

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

simplify159.0ms (2.9%)

Memory

-2.0MiB live, 187.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	782
1	724	740
2	2093	692
3	6555	685
0	8339	623

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 68

Calls

Call 1

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

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

rewrite147.0ms (2.7%)

Memory

15.0MiB live, 255.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	75
0	32	75
1	120	75
2	827	75
0	8805	75

Stop Event

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

Counts

12 → 1 008

Calls

Call 1

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

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

eval167.0ms (3.1%)

Memory: 7.3MiB live, 198.8MiB allocated
Compiler: Compiled 18 495 to 2 555 computations (86.2% saved)

prune19.0ms (0.3%)

Memory

-26.6MiB live, 44.7MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	828	1	829
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	828	8	836

Accuracy

100.0%

Counts

836 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.2%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
✓	78.8%	(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
▶	44.2%	(.f64 (.f64 y x) #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)))
✓	89.6%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
✓	47.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	53.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	53.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
✓	47.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 102 to 75 computations (26.5% saved)

simplify21.0ms (0.4%)

Memory

29.4MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	13	31
1	19	31
2	31	31
3	39	31
4	48	31
5	83	31
6	143	31
7	215	31
8	439	31
9	580	31
10	633	31
11	648	31
12	662	31
13	670	31
14	671	31
0	671	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.5%)

Memory

-18.6MiB live, 33.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.0	(*.f64 y x)
accuracy	13.573570655617557	(.f64 (.f64 y x) #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)))
accuracy	29.53383894391286	#s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x))

Samples

24.0ms

256×

valid

Compiler

Compiled 56 to 21 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 9.0ms (55.5% of total)

ival-mult: 5.0ms (30.8% of total)

ival-sub: 1.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

4 → 39

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (/ 2 x))
0.0ms	x	@	0	((* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (/ 2 x))
0.0ms	x	@	inf	((* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (/ 2 x))
0.0ms	y	@	-inf	((* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (/ 2 x))
0.0ms	y	@	inf	((* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (/ 2 x))

simplify206.0ms (3.8%)

Memory

-1.6MiB live, 191.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	652
1	597	613
2	1687	564
3	5091	557
0	8403	495

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

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

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

rewrite138.0ms (2.5%)

Memory

12.7MiB live, 134.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	13	28
1	45	28
2	239	28
3	2096	28
0	8404	28

Stop Event

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

Counts

4 → 33

Calls

Call 1

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

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

eval17.0ms (0.3%)

Memory: -30.2MiB live, 7.9MiB allocated
Compiler: Compiled 1 078 to 217 computations (79.9% saved)

prune5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	56	9	65

Accuracy

100.0%

Counts

65 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.2%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
	53.8%	(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) x) y)
✓	78.8%	(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
✓	44.2%	(.f64 (.f64 y x) #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)))
✓	89.6%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
✓	47.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	53.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	53.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
✓	47.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 266 to 131 computations (50.8% saved)

regimes13.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`y`
98.9%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-19.3MiB live, 16.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

7.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
96.3%	3	`y`
94.5%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes9.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
77.9%	3	`x`
60.6%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
78.0%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.1%)

Memory

-28.1MiB live, 8.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.8%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
47.8%	1	`x`
47.8%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch17.0ms (0.3%)

Memory

32.6MiB live, 32.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	2.868867021470982e-5	3.100839472912662e-5
12.0ms	-2.4596705404774835e+73	-1.944920148207006e+66

Samples

8.0ms

176×

valid

Compiler

Compiled 210 to 188 computations (10.5% saved)

Precisions

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

ival-mult: 2.0ms (43.3% of total)

ival-sub: 1.0ms (21.7% of total)

ival-div: 1.0ms (21.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch83.0ms (1.5%)

Memory

-22.1MiB live, 69.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.01685162710462e+175	1.2347521737922315e+181
69.0ms	-2.2285200604838726e+207	-6.1347864536637246e+206

Samples

66.0ms

224×

valid

Compiler

Compiled 320 to 278 computations (13.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-sub: 56.0ms (92.1% of total)

ival-mult: 3.0ms (4.9% of total)

ival-div: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.6%)

Memory

10.9MiB live, 48.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.1669699481599006e-55	1.5304625130667562e-49
12.0ms	-8.37226614937014e-21	-3.112817251960407e-26

Samples

18.0ms

288×

valid

Compiler

Compiled 480 to 408 computations (15% saved)

Precisions

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

ival-sub: 6.0ms (49% of total)

ival-mult: 4.0ms (32.7% of total)

ival-div: 2.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify105.0ms (1.9%)

Memory

-5.9MiB live, 77.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	106
1	56	106
2	80	106
3	105	106
4	127	106
5	195	106
6	393	106
7	2275	106
8	7298	106

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -1999999999999999890644667736494890251419293140042495849331683229696 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 2176715800697727/73786976294838206464 binary64)) (/.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))))
(if (<=.f64 y #s(literal -1200000000000000046672293061306066117568846991542424160011628584092295531472618761156959587294532416647917523743294559496238047336913250739848220406655227284253215035151403322534797469691871354631866887962624 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 950000000000000031820557346958184002327856983926896402524994564907549341898581001615640576248394992242766096044045128294104170625534207701581504084279075184788545447250818456616960 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -8677200356483931/340282366920938463463374607431768211456 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 4572406954748749/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Outputs
(if (<=.f64 x #s(literal -1999999999999999890644667736494890251419293140042495849331683229696 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 2176715800697727/73786976294838206464 binary64)) (/.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))))
(if (or (<=.f64 x #s(literal -1999999999999999890644667736494890251419293140042495849331683229696 binary64)) (not (<=.f64 x #s(literal 2176715800697727/73786976294838206464 binary64)))) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)))
(if (<=.f64 y #s(literal -1200000000000000046672293061306066117568846991542424160011628584092295531472618761156959587294532416647917523743294559496238047336913250739848220406655227284253215035151403322534797469691871354631866887962624 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 950000000000000031820557346958184002327856983926896402524994564907549341898581001615640576248394992242766096044045128294104170625534207701581504084279075184788545447250818456616960 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (or (<=.f64 y #s(literal -1200000000000000046672293061306066117568846991542424160011628584092295531472618761156959587294532416647917523743294559496238047336913250739848220406655227284253215035151403322534797469691871354631866887962624 binary64)) (not (<=.f64 y #s(literal 950000000000000031820557346958184002327856983926896402524994564907549341898581001615640576248394992242766096044045128294104170625534207701581504084279075184788545447250818456616960 binary64)))) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))))
(if (<=.f64 y #s(literal -8677200356483931/340282366920938463463374607431768211456 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 4572406954748749/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (or (<=.f64 y #s(literal -8677200356483931/340282366920938463463374607431768211456 binary64)) (not (<=.f64 y #s(literal 4572406954748749/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)))) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

soundness447.0ms (8.2%)

Memory

13.6MiB live, 211.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	337
1	378	323
2	1027	303
3	3113	297
4	6493	297
0	8219	268
0	7	20
0	11	20
1	40	20
2	250	20
3	2753	20
0	9283	20

Stop Event

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

Compiler

Compiled 172 to 87 computations (49.4% saved)

preprocess47.0ms (0.9%)

Memory: 0.7MiB live, 39.3MiB allocated
Compiler: Compiled 300 to 128 computations (57.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	31
0	13	31
1	19	31
2	31	31
3	39	31
4	48	31
5	83	31
6	143	31
7	215	31
8	439	31
9	580	31
10	633	31
11	648	31
12	662	31
13	670	31
14	671	31
0	671	31

Iter	Nodes	Cost
0	10	31
0	13	31
1	19	31
2	31	31
3	39	31
4	48	31
5	83	31
6	143	31
7	215	31
8	439	31
9	580	31
10	633	31
11	648	31
12	662	31
13	670	31
14	671	31
0	671	31

start0.0ms (0%)

analyze33.0ms (0.6%)

sample1.1s (19.3%)

explain187.0ms (3.4%)

preprocess202.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify55.0ms (1%)

localize26.0ms (0.5%)

series8.0ms (0.1%)

simplify256.0ms (4.7%)

rewrite349.0ms (6.4%)

eval122.0ms (2.2%)

prune11.0ms (0.2%)

simplify268.0ms (4.9%)

localize85.0ms (1.6%)

series13.0ms (0.2%)

simplify227.0ms (4.2%)

rewrite140.0ms (2.6%)

eval129.0ms (2.4%)

prune46.0ms (0.8%)

simplify175.0ms (3.2%)

localize382.0ms (7%)

series14.0ms (0.3%)

simplify159.0ms (2.9%)

rewrite147.0ms (2.7%)

eval167.0ms (3.1%)

prune19.0ms (0.3%)

simplify21.0ms (0.4%)

localize30.0ms (0.5%)

series3.0ms (0.1%)

simplify206.0ms (3.8%)

rewrite138.0ms (2.5%)

eval17.0ms (0.3%)

prune5.0ms (0.1%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch17.0ms (0.3%)

bsearch83.0ms (1.5%)

bsearch32.0ms (0.6%)

simplify105.0ms (1.9%)

soundness447.0ms (8.2%)

preprocess47.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	31
0	13	31
1	19	31
2	31	31
3	39	31
4	48	31
5	83	31
6	143	31
7	215	31
8	439	31
9	580	31
10	633	31
11	648	31
12	662	31
13	670	31
14	671	31
0	671	31