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

12.3MiB live, 12.3MiB 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)

sample3.2s (54.7%)

Memory

2.2MiB live, 1 063.2MiB allocated

Samples

2.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-sub: 1.4s (76.5% of total)

ival-fabs: 345.0ms (19.5% of total)

ival-div: 61.0ms (3.5% of total)

ival-true: 6.0ms (0.3% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain65.0ms (1.1%)

Memory

19.0MiB live, 146.3MiB 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

29.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-div: 5.0ms (35.1% of total)

ival-fabs: 5.0ms (35.1% of total)

ival-sub: 3.0ms (21% of total)

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

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

preprocess30.0ms (0.5%)

Memory

-20.2MiB live, 57.6MiB 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 y x)) (fabs.f64 y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify7.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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 y x)) (fabs.f64 y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
(fabs.f64 y)

localize20.0ms (0.3%)

Memory

-10.8MiB live, 27.5MiB 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	0.015625	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Samples

13.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-sub: 2.0ms (33.7% of total)

ival-div: 2.0ms (33.7% of total)

ival-fabs: 2.0ms (33.7% of total)

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

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

series6.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

simplify114.0ms (1.9%)

Memory

-27.6MiB live, 78.4MiB 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
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(fabs.f64 y)
(fabs.f64 y)
(fabs.f64 y)
(fabs.f64 y)
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(neg.f64 y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(fabs.f64 y)
(fabs.f64 y)
(fabs.f64 y)
(fabs.f64 y)
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(neg.f64 y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(fabs.f64 y)
(fabs.f64 y)
(fabs.f64 y)
(fabs.f64 y)
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(neg.f64 y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 x y))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)

rewrite151.0ms (2.6%)

Memory

27.0MiB live, 212.5MiB 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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eval66.0ms (1.1%)

Memory: -22.3MiB live, 138.0MiB allocated
Compiler: Compiled 10 403 to 1 511 computations (85.5% saved)

prune12.0ms (0.2%)

Memory

-0.4MiB live, 38.9MiB 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
▶	58.8%	(/.f64 (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) (*.f64 y y))
▶	99.6%	(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)))
▶	99.7%	(*.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 37 to 29 computations (21.6% saved)

simplify111.0ms (1.9%)

Memory

9.6MiB live, 53.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(fabs.f64 (-.f64 (.f64 y x) (.f64 y y)))
cost-diff	0	(/.f64 (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) (*.f64 y y))
cost-diff	320	(-.f64 (.f64 y x) (.f64 y y))
cost-diff	0	(pow.f64 (-.f64 x y) #s(literal -1 binary64))
cost-diff	0	(fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))
cost-diff	704	(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)))
cost-diff	6080	(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)
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: 2 (0.0ms)

Iter	Nodes	Cost
0	21	114
0	38	101
1	67	101
2	106	97
3	156	97
4	346	97
5	664	97
6	990	97
7	1666	97
8	2061	97
9	2291	97
10	2525	97
11	2704	97
12	2744	97
13	2746	97
14	2749	97
15	2750	97
16	2750	97
0	2750	97

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

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

localize131.0ms (2.2%)

Memory

-9.8MiB live, 66.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(fabs.f64 (-.f64 (.f64 y x) (.f64 y y)))
accuracy	2.7031043583020584	(-.f64 (.f64 y x) (.f64 y y))
accuracy	25.665935191817553	(/.f64 (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) (*.f64 y y))
accuracy	0	(fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))
accuracy	0.015625	(pow.f64 (-.f64 x y) #s(literal -1 binary64))
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)))
accuracy	0.21875	(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)
accuracy	0	(-.f64 y x)
accuracy	0	(fabs.f64 (/.f64 #s(literal -1 binary64) y))
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.203125	(*.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	0.015625	(/.f64 (-.f64 y x) y)

Samples

43.0ms

256×

valid

Compiler

Compiled 230 to 44 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 7.0ms (26% of total)

ival-mult: 6.0ms (22.3% of total)

ival-fabs: 6.0ms (22.3% of total)

ival-sub: 4.0ms (14.8% of total)

ival-pow: 4.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.5%)

Memory

16.1MiB live, 53.0MiB allocated

Counts

14 → 324

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 (.f64 y x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<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)) (* (pow (- x y) -1) y) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (pow (- x y) -1) (- (* y x) (* y y)) (/ (fabs (- (* y x) (* y y))) (* y y)) (fabs (- (* y x) (* y y))) (* y x))
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)) (* (pow (- x y) -1) y) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (pow (- x y) -1) (- (* y x) (* y y)) (/ (fabs (- (* y x) (* y y))) (* y y)) (fabs (- (* y x) (* y y))) (* y x))
3.0ms	x	@	-inf	((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (* (pow (- x y) -1) y) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (pow (- x y) -1) (- (* y x) (* y y)) (/ (fabs (- (* y x) (* y y))) (* y y)) (fabs (- (* y x) (* y y))) (* y x))
3.0ms	y	@	inf	((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (* (pow (- x y) -1) y) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (pow (- x y) -1) (- (* y x) (* y y)) (/ (fabs (- (* y x) (* y y))) (* y y)) (fabs (- (* y x) (* y y))) (* y x))
3.0ms	x	@	inf	((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (* (pow (- x y) -1) y) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (pow (- x y) -1) (- (* y x) (* y y)) (/ (fabs (- (* y x) (* y y))) (* y y)) (fabs (- (* y x) (* y y))) (* y x))

simplify165.0ms (2.8%)

Memory

-20.4MiB live, 223.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	2177
1	670	2044
2	1757	1973
3	5892	1967
0	8118	1927

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 321

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

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

rewrite346.0ms (5.9%)

Memory

16.7MiB live, 207.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	91
0	38	78
1	142	74
2	863	73
0	8994	73

Stop Event

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

Counts

14 → 922

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

Outputs
#<batchref>
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eval285.0ms (4.9%)

Memory: 35.9MiB live, 309.2MiB allocated
Compiler: Compiled 26 246 to 3 040 computations (88.4% saved)

prune25.0ms (0.4%)

Memory

-3.5MiB live, 72.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1 346	3	1 349
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	1 350	3	1 353

Accuracy

100.0%

Counts

1 353 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
▶	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
▶	54.7%	(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))

Compiler

Compiled 23 to 20 computations (13% saved)

simplify48.0ms (0.8%)

Memory

-34.1MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 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 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)))
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
0	21	60
1	36	60
2	51	60
3	73	60
4	108	60
5	139	60
6	192	60
7	353	60
8	685	60
9	808	60
10	866	60
11	884	60
12	905	60
13	913	60
0	913	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize36.0ms (0.6%)

Memory

25.8MiB live, 64.5MiB allocated

Localize:

Found 9 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	0.015625	(/.f64 #s(approx (- y x) (neg.f64 x)) y)
accuracy	33.607423647558335	#s(approx (- y x) (neg.f64 x))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	0	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy	0	(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
accuracy	29.6280579149826	#s(approx (/ (- y x) y) #s(literal 1 binary64))

Samples

27.0ms

256×

valid

Compiler

Compiled 109 to 26 computations (76.1% saved)

Precisions

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

ival-div: 4.0ms (39% of total)

ival-sub: 3.0ms (29.3% of total)

ival-fabs: 3.0ms (29.3% of total)

ival-neg: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

-9.9MiB live, 27.6MiB allocated

Counts

9 → 204

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))
1.0ms	x	@	-inf	((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))
1.0ms	x	@	inf	((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))
1.0ms	x	@	0	((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))
1.0ms	y	@	inf	((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))

simplify112.0ms (1.9%)

Memory

3.2MiB live, 83.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	906
1	107	906
2	261	906
3	648	906
4	1915	906
5	4324	906
6	6147	906
7	7544	906
0	8058	906

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 201

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

rewrite91.0ms (1.6%)

Memory

-3.9MiB live, 105.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
0	21	54
1	83	54
2	545	54
0	8186	54

Stop Event

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

Counts

9 → 345

Calls

Call 1

Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(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
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eval82.0ms (1.4%)

Memory: -2.3MiB live, 153.7MiB allocated
Compiler: Compiled 8 110 to 1 162 computations (85.7% saved)

prune115.0ms (2%)

Memory

-10.9MiB live, 46.7MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	546	0	546
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	546	3	549

Accuracy

100.0%

Counts

549 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.5%	(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
✓	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	54.7%	(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))

Compiler

Compiled 90 to 55 computations (38.9% saved)

regimes9.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

regimes5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
1.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
76.9%	3	`x`
81.0%	3	`y`
98.0%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.7%	1	`x`
54.7%	1	`y`
54.7%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000015989678275	1109.346227786483

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify46.0ms (0.8%)

Memory

-33.4MiB live, 42.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	41
1	37	41
2	50	41
3	59	41
4	66	41
5	81	41
6	108	41
7	111	41

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

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

Outputs

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

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

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

soundness460.0ms (7.9%)

Memory

22.8MiB live, 260.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	91
0	38	78
1	142	74
2	863	73
0	8994	73
0	6	16
0	10	15
1	40	15
2	252	15
3	2330	15
0	8712	15
0	229	2177
1	670	2044
2	1757	1973
3	5892	1967
0	8118	1927

Stop Event

1×	done
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 114 to 79 computations (30.7% saved)

preprocess37.0ms (0.6%)

Memory: -13.2MiB live, 62.9MiB allocated
Compiler: Compiled 96 to 54 computations (43.8% 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	14	60
0	21	60
1	36	60
2	51	60
3	73	60
4	108	60
5	139	60
6	192	60
7	353	60
8	685	60
9	808	60
10	866	60
11	884	60
12	905	60
13	913	60
0	913	60

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	14	60
0	21	60
1	36	60
2	51	60
3	73	60
4	108	60
5	139	60
6	192	60
7	353	60
8	685	60
9	808	60
10	866	60
11	884	60
12	905	60
13	913	60
0	913	60

start0.0ms (0%)

analyze12.0ms (0.2%)

sample3.2s (54.7%)

explain65.0ms (1.1%)

preprocess30.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.1%)

localize20.0ms (0.3%)

series6.0ms (0.1%)

simplify114.0ms (1.9%)

rewrite151.0ms (2.6%)

eval66.0ms (1.1%)

prune12.0ms (0.2%)

simplify111.0ms (1.9%)

localize131.0ms (2.2%)

series30.0ms (0.5%)

simplify165.0ms (2.8%)

rewrite346.0ms (5.9%)

eval285.0ms (4.9%)

prune25.0ms (0.4%)

simplify48.0ms (0.8%)

localize36.0ms (0.6%)

series16.0ms (0.3%)

simplify112.0ms (1.9%)

rewrite91.0ms (1.6%)

eval82.0ms (1.4%)

prune115.0ms (2%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify46.0ms (0.8%)

soundness460.0ms (7.9%)

preprocess37.0ms (0.6%)

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	14	60
0	21	60
1	36	60
2	51	60
3	73	60
4	108	60
5	139	60
6	192	60
7	353	60
8	685	60
9	808	60
10	866	60
11	884	60
12	905	60
13	913	60
0	913	60