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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.3%)

Memory

-3.3MiB live, 35.4MiB 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)

sample588.0ms (12.3%)

Memory

24.8MiB live, 1 007.9MiB allocated

Samples

372.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-fabs: 80.0ms (40.5% of total)

ival-div: 56.0ms (28.4% of total)

ival-sub: 52.0ms (26.3% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain58.0ms (1.2%)

Memory

18.2MiB live, 98.7MiB 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

28.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-fabs: 5.0ms (41.6% of total)

ival-sub: 3.0ms (24.9% of total)

ival-div: 3.0ms (24.9% of total)

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

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

preprocess32.0ms (0.7%)

Memory

-2.6MiB live, 34.4MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
70×	`sub-neg`
68×	`lower-*.f64`
68×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify8.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB 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))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
68×	`lower-*.f64`
68×	`lower-*.f32`
38×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.5%)

Memory

-1.3MiB live, 35.4MiB 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	0.0078125	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Samples

21.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-sub: 10.0ms (66.3% of total)

ival-fabs: 4.0ms (26.5% of total)

ival-div: 2.0ms (13.3% of total)

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

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

series9.0ms (0.2%)

Memory

-27.4MiB live, 10.9MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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	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))

simplify122.0ms (2.5%)

Memory

5.6MiB live, 126.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 026×	`lower-*.f64`
3 026×	`lower-*.f32`
2 284×	`lower-fma.f64`
2 284×	`lower-fma.f32`
1 700×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

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

rewrite347.0ms (7.3%)

Memory

30.7MiB live, 220.4MiB allocated

Rules

4 452×	`lower-/.f32`
4 450×	`lower-/.f64`
3 554×	`lower-fma.f64`
3 554×	`lower-fma.f32`
3 366×	`lower-*.f64`

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

eval200.0ms (4.2%)

Memory: -3.5MiB live, 168.5MiB allocated
Compiler: Compiled 9 503 to 1 509 computations (84.1% saved)

prune19.0ms (0.4%)

Memory

-28.4MiB live, 48.9MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	464	2	466
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	465	2	467

Accuracy

100.0%

Counts

467 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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 15 to 13 computations (13.3% saved)

simplify21.0ms (0.4%)

Memory

18.1MiB live, 56.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
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))

Rules

220×	`div-sub`
192×	`lower-fma.f64`
192×	`lower-fma.f32`
148×	`lower-*.f32`
146×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
0	17	39
1	30	39
2	48	39
3	64	39
4	104	39
5	175	39
6	276	39
7	450	39
8	750	39
9	826	39
10	848	39
11	848	39
0	848	39

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)

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

localize33.0ms (0.7%)

Memory

-29.4MiB live, 56.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0	(fabs.f64 (/.f64 #s(literal -1 binary64) y))
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.20703125	(*.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	0.0078125	(/.f64 (-.f64 y x) y)

Samples

21.0ms

256×

valid

Compiler

Compiled 44 to 12 computations (72.7% saved)

Precisions

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

ival-div: 4.0ms (35.7% of total)

ival-fabs: 4.0ms (35.7% of total)

ival-sub: 2.0ms (17.8% of total)

ival-mult: 1.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

6 calls:

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

simplify140.0ms (2.9%)

Memory

18.5MiB live, 93.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 828×	`lower-*.f64`
2 828×	`lower-*.f32`
2 824×	`lower-fma.f64`
2 824×	`lower-fma.f32`
1 848×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	600
1	119	600
2	281	600
3	817	600
4	2227	600
5	3506	600
6	4550	600
7	5819	600
8	7048	600
0	8059	600

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 129

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))
(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))
(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))
(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))
(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))
(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)))

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

rewrite260.0ms (5.4%)

Memory

-15.8MiB live, 235.8MiB allocated

Rules

2 898×	`lower-*.f32`
2 896×	`lower-*.f64`
2 692×	`lower-fma.f64`
2 692×	`lower-fma.f32`
2 212×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	17	29
1	62	29
2	394	29
3	3867	25
0	9828	25

Stop Event

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

Counts

6 → 950

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))

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

eval152.0ms (3.2%)

Memory: 28.3MiB live, 287.2MiB allocated
Compiler: Compiled 19 434 to 1 855 computations (90.5% saved)

prune28.0ms (0.6%)

Memory

1.5MiB live, 84.8MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1 239	3	1 242
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1 241	3	1 244

Accuracy

100.0%

Counts

1 244 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.1%	(/.f64 (-.f64 x y) y)
▶	79.0%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
▶	54.4%	(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))

Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify100.0ms (2.1%)

Memory

-29.4MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

198×	`div-sub`
192×	`lower-fma.f64`
192×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
0	16	37
1	27	37
2	45	37
3	64	37
4	101	37
5	170	37
6	264	37
7	495	37
8	644	37
9	705	37
10	738	37
11	738	37
0	738	37

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

localize25.0ms (0.5%)

Memory

27.2MiB live, 27.2MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0.0078125	(/.f64 (-.f64 x y) y)
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	0	(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
accuracy	29.720725775470665	#s(approx (/ (- y x) y) #s(literal 1 binary64))

Samples

18.0ms

256×

valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

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

ival-div: 5.0ms (47.3% of total)

ival-sub: 4.0ms (37.9% of total)

ival-fabs: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.4%)

Memory

-25.0MiB live, 12.0MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((fabs (/ (- y x) y)) (/ (- y x) y) (- 1 (/ x y)) (/ x y) (/ (- x y) y) (- x y))
1.0ms	x	@	inf	((fabs (/ (- y x) y)) (/ (- y x) y) (- 1 (/ x y)) (/ x y) (/ (- x y) y) (- x y))
1.0ms	x	@	-inf	((fabs (/ (- y x) y)) (/ (- y x) y) (- 1 (/ x y)) (/ x y) (/ (- x y) y) (- x y))
1.0ms	y	@	inf	((fabs (/ (- y x) y)) (/ (- y x) y) (- 1 (/ x y)) (/ x y) (/ (- x y) y) (- x y))
1.0ms	y	@	0	((fabs (/ (- y x) y)) (/ (- y x) y) (- 1 (/ x y)) (/ x y) (/ (- x y) y) (- x y))

simplify125.0ms (2.6%)

Memory

6.8MiB live, 162.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 636×	`lower-fma.f64`
4 636×	`lower-fma.f32`
3 448×	`lower-*.f64`
3 448×	`lower-*.f32`
1 408×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	591
1	108	591
2	281	591
3	715	591
4	2011	591
5	4382	591
6	6044	591
7	7572	591
0	8053	591

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 141

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

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

rewrite165.0ms (3.4%)

Memory

-15.4MiB live, 171.8MiB allocated

Rules

3 902×	`lower-fma.f64`
3 902×	`lower-fma.f32`
3 612×	`lower-*.f64`
3 612×	`lower-*.f32`
3 612×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	16	31
1	77	31
2	614	31
0	9259	31

Stop Event

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

Counts

6 → 540

Calls

Call 1

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

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

eval218.0ms (4.6%)

Memory: -10.3MiB live, 146.0MiB allocated
Compiler: Compiled 10 054 to 1 193 computations (88.1% saved)

prune20.0ms (0.4%)

Memory

-10.7MiB live, 37.3MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	678	3	681
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	679	5	684

Accuracy

100.0%

Counts

684 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.1%	(/.f64 (-.f64 x y) y)
✓	79.0%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
▶	22.9%	#s(approx (/ (- x y) y) (/.f64 x y))
▶	27.0%	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
▶	54.4%	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Compiler

Compiled 21 to 22 computations (-4.8% saved)

simplify19.0ms (0.4%)

Memory

28.4MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

192×	`lower-fma.f64`
192×	`lower-fma.f32`
162×	`div-sub`
128×	`lower-*.f64`
128×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	16	40
1	28	40
2	44	40
3	62	40
4	83	40
5	123	40
6	206	40
7	406	40
8	640	40
9	674	40
10	693	40
11	717	40
12	718	40
0	718	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.6%)

Memory

5.6MiB live, 43.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	33.594881007700536	#s(approx (/ (- x y) y) (/.f64 x y))
accuracy	0	(/.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	33.594881007700536	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
accuracy	29.720725775470665	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Samples

21.0ms

256×

valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 5.0ms (52.7% of total)

ival-sub: 2.0ms (21.1% of total)

ival-neg: 1.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-24.5MiB live, 11.7MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (/ (- x y) y) (/ x y))
1.0ms	x	@	inf	((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (/ (- x y) y) (/ x y))
1.0ms	y	@	0	((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (/ (- x y) y) (/ x y))
1.0ms	y	@	-inf	((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (/ (- x y) y) (/ x y))
1.0ms	x	@	0	((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (/ (- x y) y) (/ x y))

simplify24.0ms (0.5%)

Memory

32.7MiB live, 32.7MiB allocated

Algorithm

1×	egg-herbie

Rules

272×	`lower-fma.f64`
272×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
144×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	522
1	50	504
2	114	504
3	259	504
4	411	504
5	639	504
6	746	504
7	888	504
8	897	504
9	898	504
0	898	504

Stop Event

1×	iter limit
1×	saturated

Counts

132 → 132

Calls

Call 1

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

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

rewrite126.0ms (2.6%)

Memory

-7.1MiB live, 185.3MiB allocated

Rules

3 544×	`lower-fma.f64`
3 544×	`lower-fma.f32`
2 946×	`lower-*.f64`
2 946×	`lower-*.f32`
2 846×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
0	16	35
1	68	35
2	474	35
3	7444	35
0	8342	35

Stop Event

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

Counts

6 → 110

Calls

Call 1

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

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

eval65.0ms (1.4%)

Memory: -7.5MiB live, 45.8MiB allocated
Compiler: Compiled 1 745 to 337 computations (80.7% saved)

prune13.0ms (0.3%)

Memory

-12.5MiB live, 25.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	242	5	247

Accuracy

100.0%

Counts

247 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.1%	(/.f64 (-.f64 x y) y)
✓	79.0%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	22.9%	#s(approx (/ (- x y) y) (/.f64 x y))
✓	27.0%	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
✓	54.4%	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes10.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

regimes21.0ms (0.4%)

Memory

-20.0MiB live, 16.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	y
3.0ms	x
2.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
79.0%	1	`x`
79.0%	1	`y`
79.0%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.5%	3	`y`
77.0%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
63.9%	3	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
72.9%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes110.0ms (2.3%)

Memory

-22.4MiB live, 14.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

106.0ms	x
1.0ms	y
1.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
54.4%	1	`x`
54.4%	1	`y`
54.4%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000044035624218	1043.6691507053504

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1043.6691507053504	64931.23777668127

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify133.0ms (2.8%)

Memory

7.5MiB live, 55.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative-binary64-+.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`-commutative-binary64-.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	69
1	40	69
2	50	69
3	55	69
4	57	69

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.4s (29.5%)

Memory

17.2MiB live, 442.7MiB allocated

Rules

4 636×	`lower-fma.f64`
4 636×	`lower-fma.f32`
4 452×	`lower-/.f32`
4 450×	`lower-/.f64`
3 554×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	40	15
2	252	15
3	2330	15
0	8712	15
0	10	31
0	17	29
1	62	29
2	394	29
3	3867	25
0	9828	25
0	39	591
1	108	591
2	281	591
3	715	591
4	2011	591
5	4382	591
6	6044	591
7	7572	591
0	8053	591

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 206 to 143 computations (30.6% saved)

preprocess65.0ms (1.4%)

Memory: 7.8MiB live, 58.3MiB allocated
Compiler: Compiled 102 to 50 computations (51% 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	10	42
0	17	39
1	30	39
2	48	39
3	64	39
4	104	39
5	175	39
6	276	39
7	450	39
8	750	39
9	826	39
10	848	39
11	848	39
0	848	39

Iter	Nodes	Cost
0	11	37
0	16	37
1	27	37
2	45	37
3	64	37
4	101	37
5	170	37
6	264	37
7	495	37
8	644	37
9	705	37
10	738	37
11	738	37
0	738	37

Iter	Nodes	Cost
0	13	40
0	16	40
1	28	40
2	44	40
3	62	40
4	83	40
5	123	40
6	206	40
7	406	40
8	640	40
9	674	40
10	693	40
11	717	40
12	718	40
0	718	40

Iter	Nodes	Cost
0	22	522
1	50	504
2	114	504
3	259	504
4	411	504
5	639	504
6	746	504
7	888	504
8	897	504
9	898	504
0	898	504

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	10	42
0	17	39
1	30	39
2	48	39
3	64	39
4	104	39
5	175	39
6	276	39
7	450	39
8	750	39
9	826	39
10	848	39
11	848	39
0	848	39

Iter	Nodes	Cost
0	11	37
0	16	37
1	27	37
2	45	37
3	64	37
4	101	37
5	170	37
6	264	37
7	495	37
8	644	37
9	705	37
10	738	37
11	738	37
0	738	37

Iter	Nodes	Cost
0	13	40
0	16	40
1	28	40
2	44	40
3	62	40
4	83	40
5	123	40
6	206	40
7	406	40
8	640	40
9	674	40
10	693	40
11	717	40
12	718	40
0	718	40

Iter	Nodes	Cost
0	22	522
1	50	504
2	114	504
3	259	504
4	411	504
5	639	504
6	746	504
7	888	504
8	897	504
9	898	504
0	898	504

start0.0ms (0%)

analyze13.0ms (0.3%)

sample588.0ms (12.3%)

explain58.0ms (1.2%)

preprocess32.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.2%)

localize26.0ms (0.5%)

series9.0ms (0.2%)

simplify122.0ms (2.5%)

rewrite347.0ms (7.3%)

eval200.0ms (4.2%)

prune19.0ms (0.4%)

simplify21.0ms (0.4%)

localize33.0ms (0.7%)

series7.0ms (0.1%)

simplify140.0ms (2.9%)

rewrite260.0ms (5.4%)

eval152.0ms (3.2%)

prune28.0ms (0.6%)

simplify100.0ms (2.1%)

localize25.0ms (0.5%)

series21.0ms (0.4%)

simplify125.0ms (2.6%)

rewrite165.0ms (3.4%)

eval218.0ms (4.6%)

prune20.0ms (0.4%)

simplify19.0ms (0.4%)

localize27.0ms (0.6%)

series13.0ms (0.3%)

simplify24.0ms (0.5%)

rewrite126.0ms (2.6%)

eval65.0ms (1.4%)

prune13.0ms (0.3%)

regimes10.0ms (0.2%)

regimes21.0ms (0.4%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes110.0ms (2.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify133.0ms (2.8%)

soundness1.4s (29.5%)

preprocess65.0ms (1.4%)

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	10	42
0	17	39
1	30	39
2	48	39
3	64	39
4	104	39
5	175	39
6	276	39
7	450	39
8	750	39
9	826	39
10	848	39
11	848	39
0	848	39

Iter	Nodes	Cost
0	11	37
0	16	37
1	27	37
2	45	37
3	64	37
4	101	37
5	170	37
6	264	37
7	495	37
8	644	37
9	705	37
10	738	37
11	738	37
0	738	37

Iter	Nodes	Cost
0	13	40
0	16	40
1	28	40
2	44	40
3	62	40
4	83	40
5	123	40
6	206	40
7	406	40
8	640	40
9	674	40
10	693	40
11	717	40
12	718	40
0	718	40

Iter	Nodes	Cost
0	22	522
1	50	504
2	114	504
3	259	504
4	411	504
5	639	504
6	746	504
7	888	504
8	897	504
9	898	504
0	898	504