Metrics for Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB 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 9 to 8 computations (11.1% saved)

sample2.6s (37.6%)

Memory

9.5MiB live, 939.4MiB allocated

Samples

454.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-fabs: 108.0ms (41.9% of total)

ival-div: 88.0ms (34.2% of total)

ival-sub: 52.0ms (20.2% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain68.0ms (1%)

Memory

-21.0MiB live, 151.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-fabs: 5.0ms (38.2% of total)

ival-sub: 4.0ms (30.6% of total)

ival-div: 3.0ms (22.9% of total)

ival-true: 1.0ms (7.6% of total)

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

preprocess29.0ms (0.4%)

Memory

25.3MiB live, 67.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	47	37
2	93	37
3	176	37
4	254	37
5	308	37
6	342	37
7	358	37
8	368	37
9	372	37
10	377	37
11	383	37
12	383	37
0	6	7
0	10	7
1	14	7
2	21	7
3	29	7
4	48	7
5	95	7
6	149	7
7	172	7
8	186	7
9	198	7
10	198	7
0	198	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify9.0ms (0.1%)

Memory

-29.7MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	14	18
2	21	18
3	29	18
4	48	18
5	95	18
6	149	18
7	172	18
8	186	18
9	198	18
10	198	18
0	198	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.3%)

Memory

10.2MiB live, 49.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0	(fabs.f64 y)
accuracy	0.02734375	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-sub: 2.0ms (33% of total)

ival-div: 2.0ms (33% of total)

ival-fabs: 2.0ms (33% of total)

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

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

series6.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())

Outputs
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor 0 y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor 0 y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor 0 y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor 0 y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ x (* -1 y))) (fabs y)) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ x (* -1 y))) (fabs y)) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ x (* -1 y))) (fabs y)) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ x (* -1 y))) (fabs y)) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor -inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor -inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor -inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor -inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y)) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y)) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y)) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y)) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify111.0ms (1.6%)

Memory

-0.9MiB live, 79.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	351
1	80	351
2	187	351
3	547	351
4	1652	351
5	2521	351
6	3476	351
7	5021	351
8	5582	351
9	6843	351
10	7813	351
0	8108	351

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

Inputs
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(/ (fabs (+ x (* -1 y))) (fabs y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(- x y)
(- x y)
(- x y)
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))

Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)

rewrite174.0ms (2.5%)

Memory

11.4MiB live, 204.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	40	15
2	252	15
3	2330	15
0	8712	15

Stop Event

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

Counts

4 → 385

Calls

Call 1

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

Outputs
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eval77.0ms (1.1%)

Memory: -46.8MiB live, 128.9MiB allocated
Compiler: Compiled 10 052 to 1 507 computations (85% saved)

prune13.0ms (0.2%)

Memory

-1.0MiB live, 37.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	462	4	466
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	463	4	467

Accuracy

100.0%

Counts

467 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	99.9%	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
▶	99.8%	(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
▶	100.0%	(fabs.f64 (/.f64 (-.f64 y x) y))

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify23.0ms (0.3%)

Memory

36.2MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (-.f64 y x))
cost-diff	0	(fabs.f64 (/.f64 y (-.f64 y x)))
cost-diff	0	(pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64))
cost-diff	12928	(pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 y (-.f64 y x))
cost-diff	0	(fabs.f64 (/.f64 y (-.f64 y x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
cost-diff	0	(fabs.f64 (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(-.f64 y x)
cost-diff	0	(fabs.f64 (-.f64 y x))
cost-diff	448	(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) y)
cost-diff	0	(fabs.f64 (/.f64 (-.f64 y x) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	103
0	30	94
1	46	94
2	66	94
3	82	94
4	127	94
5	200	94
6	316	94
7	566	94
8	984	94
9	1109	94
10	1137	94
11	1139	94
0	1139	94

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
#s(literal 1 binary64)
(fabs.f64 (/.f64 y (-.f64 y x)))
(/.f64 y (-.f64 y x))
y
(-.f64 y x)
x
(pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64))
(fabs.f64 (/.f64 y (-.f64 y x)))
(/.f64 y (-.f64 y x))
y
(-.f64 y x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)

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

localize64.0ms (0.9%)

Memory

-35.0MiB live, 122.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (/.f64 y (-.f64 y x)))
accuracy	0.01953125	(/.f64 y (-.f64 y x))
accuracy	0.13671875	(pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	9.46120000207457	(pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64))
accuracy	0	(-.f64 y x)
accuracy	0	(fabs.f64 (/.f64 y (-.f64 y x)))
accuracy	0.01953125	(/.f64 y (-.f64 y x))
accuracy	0.09765625	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
accuracy	0	(-.f64 y x)
accuracy	0	(fabs.f64 (/.f64 #s(literal -1 binary64) y))
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.13671875	(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(-.f64 y x)
accuracy	0	(fabs.f64 (/.f64 (-.f64 y x) y))
accuracy	0.02734375	(/.f64 (-.f64 y x) y)

Samples

49.0ms

256×

valid

Compiler

Compiled 105 to 20 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 11.0ms (37% of total)

ival-pow: 6.0ms (20.2% of total)

ival-fabs: 5.0ms (16.8% of total)

ival-pow2: 3.0ms (10.1% of total)

ival-mult: 2.0ms (6.7% of total)

ival-sub: 2.0ms (6.7% of total)

exact: 1.0ms (3.4% of total)

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

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

series20.0ms (0.3%)

Memory

35.5MiB live, 35.5MiB allocated

Counts

11 → 252

Calls

Call 1

Inputs
#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) (patch (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (- y x))) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (- y x))) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (- y x))) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (- y x))) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (fabs (/ y (- y x))))) (taylor 0 y) (#s(alt (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) (patch (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (fabs (/ y (- y x))))) (taylor 0 y) (#s(alt (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) (patch (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (fabs (/ y (- y x))))) (taylor 0 y) (#s(alt (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) (patch (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (fabs (/ y (- y x))))) (taylor 0 y) (#s(alt (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) (patch (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor inf y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor inf y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor inf y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor inf y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
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#s(alt (sqrt (/ 1 (fabs (/ y (+ y (* -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) (patch (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify211.0ms (3.1%)

Memory

-7.3MiB live, 148.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1567
1	427	1503
2	1102	1473
3	4192	1457
0	8445	1444

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 249

Calls

Call 1

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

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

rewrite177.0ms (2.6%)

Memory

-17.0MiB live, 268.4MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	68
0	30	61
1	104	61
2	545	61
3	4797	52
0	8506	52

Stop Event

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

Counts

11 → 1 602

Calls

Call 1

Inputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (-.f64 y x))
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
(fabs.f64 (/.f64 y (-.f64 y x)))
(/.f64 y (-.f64 y x))
(pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64))

Outputs
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eval883.0ms (12.8%)

Memory: -126.6MiB live, 540.4MiB allocated
Compiler: Compiled 40 857 to 3 259 computations (92% saved)

prune82.0ms (1.2%)

Memory

-30.9MiB live, 133.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	2 515	6	2 521
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	2 519	6	2 525

Accuracy

100.0%

Counts

2 525 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(/.f64 (-.f64 y x) y)
▶	77.9%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
	99.9%	(fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)))
▶	48.9%	(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
▶	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
▶	52.9%	(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))

Compiler

Compiled 64 to 66 computations (-3.1% saved)

simplify25.0ms (0.4%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	81
0	24	81
1	39	81
2	54	81
3	76	81
4	111	81
5	142	81
6	193	81
7	354	81
8	689	81
9	808	81
10	866	81
11	884	81
12	905	81
13	913	81
0	913	81

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.5%)

Memory

14.0MiB live, 49.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
accuracy	0.02734375	(/.f64 #s(approx (- y x) (neg.f64 x)) y)
accuracy	33.18870714725219	#s(approx (- y x) (neg.f64 x))
accuracy	0	(-.f64 y x)
accuracy	0.02734375	(/.f64 (-.f64 y x) y)
accuracy	0	(/.f64 x y)
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	0	(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
accuracy	30.75113725563654	#s(approx (/ (- y x) y) #s(literal 1 binary64))
accuracy	0	(/.f64 x y)
accuracy	0	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (/.f64 x y))

Samples

26.0ms

256×

valid

Compiler

Compiled 70 to 12 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 8.0ms (54.2% of total)

ival-fabs: 3.0ms (20.3% of total)

ival-sub: 2.0ms (13.6% of total)

ival-neg: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-28.1MiB live, 13.8MiB allocated

Counts

11 → 252

Calls

Call 1

Inputs
#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())
#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
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#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (/ (- y x) y) (- y x) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))
1.0ms	x	@	inf	((fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (/ (- y x) y) (- y x) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))
1.0ms	y	@	-inf	((fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (/ (- y x) y) (- y x) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))
1.0ms	y	@	inf	((fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (/ (- y x) y) (- y x) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))
1.0ms	y	@	0	((fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (/ (- y x) y) (- y x) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))

simplify124.0ms (1.8%)

Memory

27.4MiB live, 139.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	1074
1	107	1074
2	261	1074
3	648	1074
4	1915	1074
5	4301	1074
6	6114	1074
7	7505	1074
0	8018	1074

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 246

Calls

Call 1

Inputs
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(* -1 (/ x y))
(/ (- y x) y)
(/ (- y x) y)
(/ (- y x) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(* -1 x)
(- y x)
(- y x)
(- y x)
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(* -1 x)
(- y x)
(- y x)
(- y x)
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

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

rewrite210.0ms (3%)

Memory

-19.7MiB live, 183.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	62
0	24	62
1	86	62
2	548	62
0	8194	62

Stop Event

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

Counts

11 → 632

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
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eval142.0ms (2.1%)

Memory: 21.9MiB live, 225.1MiB allocated
Compiler: Compiled 17 180 to 1 405 computations (91.8% saved)

prune24.0ms (0.4%)

Memory

-7.6MiB live, 66.7MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 158	2	1 160
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	1 159	7	1 166

Accuracy

100.0%

Counts

1 166 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.8%	(/.f64 (-.f64 y x) y)
▶	27.0%	(/.f64 #s(approx (- y x) (neg.f64 x)) y)
✓	77.9%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
▶	99.9%	(fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)))
✓	48.9%	(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
✓	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
▶	52.9%	#s(approx (/ (- y x) y) #s(literal 1 binary64))

Compiler

Compiled 36 to 37 computations (-2.8% saved)

simplify48.0ms (0.7%)

Memory

-26.3MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(/.f64 #s(approx (- y x) (neg.f64 x)) y)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- y x) y) #s(literal 1 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
0	19	46
1	30	44
2	43	44
3	65	44
4	90	44
5	128	44
6	171	44
7	316	44
8	635	44
9	792	44
10	842	44
11	880	44
12	904	44
13	913	44
0	913	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.4%)

Memory

21.3MiB live, 21.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.02734375	(/.f64 #s(approx (- y x) (neg.f64 x)) y)
accuracy	33.18870714725219	#s(approx (- y x) (neg.f64 x))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)))
accuracy	0.05859375	(fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))
accuracy	30.75113725563654	#s(approx (/ (- y x) y) #s(literal 1 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 42 to 13 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (36.8% of total)

ival-mult: 2.0ms (18.4% of total)

ival-sub: 2.0ms (18.4% of total)

ival-add: 1.0ms (9.2% of total)

ival-fabs: 1.0ms (9.2% of total)

ival-neg: 1.0ms (9.2% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())
#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor 0 y) (#s(alt (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor 0 y) (#s(alt (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor 0 y) (#s(alt (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor 0 y) (#s(alt (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (- y x) y) (+ (* (/ -1 y) x) 1) (fabs (+ (* (/ -1 y) x) 1)) (/ -1 y) (/ (- y x) y) (- y x) (neg x))
1.0ms	y	@	inf	((/ (- y x) y) (+ (* (/ -1 y) x) 1) (fabs (+ (* (/ -1 y) x) 1)) (/ -1 y) (/ (- y x) y) (- y x) (neg x))
1.0ms	y	@	0	((/ (- y x) y) (+ (* (/ -1 y) x) 1) (fabs (+ (* (/ -1 y) x) 1)) (/ -1 y) (/ (- y x) y) (- y x) (neg x))
1.0ms	x	@	inf	((/ (- y x) y) (+ (* (/ -1 y) x) 1) (fabs (+ (* (/ -1 y) x) 1)) (/ -1 y) (/ (- y x) y) (- y x) (neg x))
0.0ms	x	@	0	((/ (- y x) y) (+ (* (/ -1 y) x) 1) (fabs (+ (* (/ -1 y) x) 1)) (/ -1 y) (/ (- y x) y) (- y x) (neg x))

simplify141.0ms (2%)

Memory

10.5MiB live, 83.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	582
1	84	582
2	223	582
3	578	582
4	1516	582
5	3327	582
6	4756	582
7	5730	582
8	6512	582
9	6981	582
0	8222	582

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 141

Calls

Call 1

Inputs
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(* -1 x)
(- y x)
(- y x)
(- y x)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

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

rewrite123.0ms (1.8%)

Memory

-20.3MiB live, 94.6MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	19	39
1	74	37
2	476	37
3	6044	34
0	8900	34

Stop Event

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

Counts

7 → 309

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval63.0ms (0.9%)

Memory: 6.5MiB live, 128.4MiB allocated
Compiler: Compiled 5 453 to 908 computations (83.3% saved)

prune14.0ms (0.2%)

Memory

8.3MiB live, 45.3MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	449	1	450
Fresh	0	0	0
Picked	0	3	3
Done	1	3	4
Total	450	7	457

Accuracy

100.0%

Counts

457 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.8%	(/.f64 (-.f64 y x) y)
✓	27.0%	(/.f64 #s(approx (- y x) (neg.f64 x)) y)
	23.4%	(/.f64 #s(approx (- y x) x) y)
✓	77.9%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	99.9%	(fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)))
✓	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	52.9%	#s(approx (/ (- y x) y) #s(literal 1 binary64))

Compiler

Compiled 117 to 70 computations (40.2% saved)

regimes16.0ms (0.2%)

Memory

4.3MiB live, 41.9MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
5.0ms	x
4.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.2%)

Memory

3.8MiB live, 40.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
3.0ms	x
3.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
88.4%	3	`x`
86.0%	3	`y`
98.6%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.2%)

Memory

-46.4MiB live, 26.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
77.9%	1	`y`
82.1%	3	`x`
77.9%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.2%	4	`y`
75.4%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
67.0%	5	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
72.0%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory

-26.2MiB live, 13.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
1.0ms	y
1.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
52.9%	1	`y`
52.9%	1	`x`
52.9%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	21345569.755284827	92358341645.4324

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch29.0ms (0.4%)

Memory

6.1MiB live, 45.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-1.7361077350631316e+203	-1.3216606799069555e+187
12.0ms	-6.51445864241376e+255	-4.3653782544095974e+246

Samples

13.0ms

304×

valid

Compiler

Compiled 181 to 220 computations (-21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-fabs: 3.0ms (42.4% of total)

ival-sub: 2.0ms (28.2% of total)

ival-div: 2.0ms (28.2% of total)

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

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

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1126.3730146596893	7523.060554414044

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5830131678695565	1126.3730146596893

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify25.0ms (0.4%)

Memory

26.2MiB live, 26.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	111
1	50	111
2	63	111
3	72	111
4	79	111
5	94	111
6	121	111
7	124	111

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 40000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(if (<=.f64 x #s(literal -90000000000000000350801820532726127894965393863782266588851541430609447017203806550068840169957241685209639107566375078434750417660023227182115531525924703545361450951326178919350969171932869091538351048400621837335434899831313753666242871505715200 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal -17000000000000000505248023820868977695075912263475166123019883697460256776976938185588212461636368876756681459955788493658475688435889291854127785271228678904352369713202012640056948266003392446249041920 binary64)) (/.f64 #s(approx (- y x) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2000 binary64)) #s(approx (/ (- y x) y) #s(literal 1 binary64)) (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(approx (/ (- y x) y) #s(literal 1 binary64)) (/.f64 #s(approx (- y x) x) y))
#s(approx (/ (- y x) y) #s(literal 1 binary64))

Outputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 40000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) #s(literal 40000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(if (<=.f64 x #s(literal -90000000000000000350801820532726127894965393863782266588851541430609447017203806550068840169957241685209639107566375078434750417660023227182115531525924703545361450951326178919350969171932869091538351048400621837335434899831313753666242871505715200 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal -17000000000000000505248023820868977695075912263475166123019883697460256776976938185588212461636368876756681459955788493658475688435889291854127785271228678904352369713202012640056948266003392446249041920 binary64)) (/.f64 #s(approx (- y x) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2000 binary64)) #s(approx (/ (- y x) y) #s(literal 1 binary64)) (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) #s(literal 2000 binary64)) #s(approx (/ (- y x) y) #s(literal 1 binary64)) (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(approx (/ (- y x) y) #s(literal 1 binary64)) (/.f64 #s(approx (- y x) x) y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) #s(literal 2 binary64)) #s(approx (/ (- y x) y) #s(literal 1 binary64)) (/.f64 #s(approx (- y x) x) y))
#s(approx (/ (- y x) y) #s(literal 1 binary64))

soundness1.2s (16.8%)

Memory

-12.2MiB live, 543.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	40	15
2	252	15
3	2330	15
0	8712	15
0	13	39
0	19	39
1	74	37
2	476	37
3	6044	34
0	8900	34
0	160	1567
1	427	1503
2	1102	1473
3	4192	1457
0	8445	1444
0	18	68
0	30	61
1	104	61
2	545	61
3	4797	52
0	8506	52
0	40	1074
1	107	1074
2	261	1074
3	648	1074
4	1915	1074
5	4301	1074
6	6114	1074
7	7505	1074
0	8018	1074

Stop Event

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

Compiler

Compiled 344 to 214 computations (37.8% saved)

preprocess50.0ms (0.7%)

Memory: 7.7MiB live, 79.5MiB allocated
Compiler: Compiled 182 to 78 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	41
1	47	37
2	93	37
3	176	37
4	254	37
5	308	37
6	342	37
7	358	37
8	368	37
9	372	37
10	377	37
11	383	37
12	383	37
0	6	7
0	10	7
1	14	7
2	21	7
3	29	7
4	48	7
5	95	7
6	149	7
7	172	7
8	186	7
9	198	7
10	198	7
0	198	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	14	18
2	21	18
3	29	18
4	48	18
5	95	18
6	149	18
7	172	18
8	186	18
9	198	18
10	198	18
0	198	18

Iter	Nodes	Cost
0	16	81
0	24	81
1	39	81
2	54	81
3	76	81
4	111	81
5	142	81
6	193	81
7	354	81
8	689	81
9	808	81
10	866	81
11	884	81
12	905	81
13	913	81
0	913	81

Iter	Nodes	Cost
0	13	46
0	19	46
1	30	44
2	43	44
3	65	44
4	90	44
5	128	44
6	171	44
7	316	44
8	635	44
9	792	44
10	842	44
11	880	44
12	904	44
13	913	44
0	913	44

Iter	Nodes	Cost
0	18	41
1	47	37
2	93	37
3	176	37
4	254	37
5	308	37
6	342	37
7	358	37
8	368	37
9	372	37
10	377	37
11	383	37
12	383	37
0	6	7
0	10	7
1	14	7
2	21	7
3	29	7
4	48	7
5	95	7
6	149	7
7	172	7
8	186	7
9	198	7
10	198	7
0	198	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	14	18
2	21	18
3	29	18
4	48	18
5	95	18
6	149	18
7	172	18
8	186	18
9	198	18
10	198	18
0	198	18

Iter	Nodes	Cost
0	16	81
0	24	81
1	39	81
2	54	81
3	76	81
4	111	81
5	142	81
6	193	81
7	354	81
8	689	81
9	808	81
10	866	81
11	884	81
12	905	81
13	913	81
0	913	81

Iter	Nodes	Cost
0	13	46
0	19	46
1	30	44
2	43	44
3	65	44
4	90	44
5	128	44
6	171	44
7	316	44
8	635	44
9	792	44
10	842	44
11	880	44
12	904	44
13	913	44
0	913	44

start0.0ms (0%)

analyze12.0ms (0.2%)

sample2.6s (37.6%)

explain68.0ms (1%)

preprocess29.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.1%)

localize20.0ms (0.3%)

series6.0ms (0.1%)

simplify111.0ms (1.6%)

rewrite174.0ms (2.5%)

eval77.0ms (1.1%)

prune13.0ms (0.2%)

simplify23.0ms (0.3%)

localize64.0ms (0.9%)

series20.0ms (0.3%)

simplify211.0ms (3.1%)

rewrite177.0ms (2.6%)

eval883.0ms (12.8%)

prune82.0ms (1.2%)

simplify25.0ms (0.4%)

localize37.0ms (0.5%)

series14.0ms (0.2%)

simplify124.0ms (1.8%)

rewrite210.0ms (3%)

eval142.0ms (2.1%)

prune24.0ms (0.4%)

simplify48.0ms (0.7%)

localize28.0ms (0.4%)

series9.0ms (0.1%)

simplify141.0ms (2%)

rewrite123.0ms (1.8%)

eval63.0ms (0.9%)

prune14.0ms (0.2%)

regimes16.0ms (0.2%)

regimes11.0ms (0.2%)

regimes15.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch29.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify25.0ms (0.4%)

soundness1.2s (16.8%)

preprocess50.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	41
1	47	37
2	93	37
3	176	37
4	254	37
5	308	37
6	342	37
7	358	37
8	368	37
9	372	37
10	377	37
11	383	37
12	383	37
0	6	7
0	10	7
1	14	7
2	21	7
3	29	7
4	48	7
5	95	7
6	149	7
7	172	7
8	186	7
9	198	7
10	198	7
0	198	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	14	18
2	21	18
3	29	18
4	48	18
5	95	18
6	149	18
7	172	18
8	186	18
9	198	18
10	198	18
0	198	18

Iter	Nodes	Cost
0	16	81
0	24	81
1	39	81
2	54	81
3	76	81
4	111	81
5	142	81
6	193	81
7	354	81
8	689	81
9	808	81
10	866	81
11	884	81
12	905	81
13	913	81
0	913	81

Iter	Nodes	Cost
0	13	46
0	19	46
1	30	44
2	43	44
3	65	44
4	90	44
5	128	44
6	171	44
7	316	44
8	635	44
9	792	44
10	842	44
11	880	44
12	904	44
13	913	44
0	913	44