Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, C

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample860.0ms (23.4%)

Memory

4.7MiB live, 952.2MiB allocated

Samples

507.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 285.0ms

ival-div: 232.0ms (81.4% of total)

ival-add: 39.0ms (13.7% of total)

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

exact: 5.0ms (1.8% of total)

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

Bogosity

explain56.0ms (1.5%)

Memory

15.1MiB live, 100.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
-	-	`#s(literal 500 binary64)`
-	-	`(/.f64 y #s(literal 500 binary64))`
-	-	`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

20.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (53.8% of total)

ival-add: 2.0ms (26.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess25.0ms (0.7%)

Memory

-15.7MiB live, 22.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	32	25
2	74	25
3	176	25
4	245	25
5	294	25
6	301	25
0	5	5
0	7	5
1	8	5
0	8	5

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 y #s(literal 500 binary64))
cost-diff	0	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	8	11
0	8	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

localize14.0ms (0.4%)

Memory

23.6MiB live, 23.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 500 binary64))
accuracy	0.01171875	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (56% of total)

ival-add: 1.0ms (28% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

-32.9MiB live, 4.8MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())

#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	((+ x (/ y 500)) (/ y 500))
2.0ms	y	@	inf	((+ x (/ y 500)) (/ y 500))
1.0ms	y	@	-inf	((+ x (/ y 500)) (/ y 500))
0.0ms	x	@	-inf	((+ x (/ y 500)) (/ y 500))
0.0ms	x	@	inf	((+ x (/ y 500)) (/ y 500))

simplify249.0ms (6.8%)

Memory

-21.3MiB live, 88.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	64	138
2	141	138
3	395	138
4	1104	138
5	2534	138
6	3433	138
7	4306	138
8	4782	138
9	4957	138
10	5047	138
11	5745	138
12	6061	138
13	6065	138
14	6065	138
15	6065	138
0	8138	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))

Outputs
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)

rewrite353.0ms (9.6%)

Memory

-0.5MiB live, 195.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	31	8
2	235	8
3	3706	8
0	8295	7

Stop Event

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

Counts

2 → 154

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval21.0ms (0.6%)

Memory: 18.2MiB live, 56.4MiB allocated
Compiler: Compiled 2 922 to 434 computations (85.1% saved)

prune7.0ms (0.2%)

Memory

-31.0MiB live, 16.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	183	4	187
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	5	188

Accuracy

100.0%

Counts

188 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
▶	44.0%	(+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
▶	49.0%	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))

Compiler

Compiled 29 to 30 computations (-3.4% saved)

simplify5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff	0	(/.f64 #s(literal 500 binary64) y)
cost-diff	0	(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64))
cost-diff	128	(+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff	13312	(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal 500 binary64) y)
cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
cost-diff	0	(*.f64 y #s(literal 1/500 binary64))
cost-diff	0	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	69
0	26	55
1	36	55
2	39	55
3	39	55
0	39	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(*.f64 y #s(literal 1/500 binary64))
y
#s(literal 1/500 binary64)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
#s(literal 1 binary64)
(/.f64 #s(literal 500 binary64) y)
#s(literal 500 binary64)
y
(+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
x
(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64))
(/.f64 #s(literal 500 binary64) y)
#s(literal 500 binary64)
y
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(fma.f64 y #s(literal 1/500 binary64) x)
y
#s(literal 1/500 binary64)
x

Outputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 y #s(literal 1/500 binary64))
(*.f64 #s(literal 1/500 binary64) y)
y
#s(literal 1/500 binary64)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1 binary64)
(/.f64 #s(literal 500 binary64) y)
#s(literal 500 binary64)
y
(+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/500 binary64) y)
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64))
(/.f64 #s(literal 500 binary64) y)
#s(literal 500 binary64)
y
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 #s(literal 1/500 binary64) y x)
y
#s(literal 1/500 binary64)
x

localize48.0ms (1.3%)

Memory

20.4MiB live, 98.1MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 y #s(literal 1/500 binary64) x)
accuracy	0	(/.f64 #s(literal 500 binary64) y)
accuracy	0.01171875	(+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy	0.0703125	(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64))
accuracy	0.25	(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0	(/.f64 #s(literal 500 binary64) y)
accuracy	0.01171875	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
accuracy	0.04296875	(*.f64 y #s(literal 1/500 binary64))
accuracy	13.783089652857585	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))

Samples

20.0ms	143×	0	invalid
18.0ms	113×	0	valid

Compiler

Compiled 68 to 19 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 6.0ms (26.3% of total)

ival-add: 5.0ms (21.9% of total)

const: 4.0ms (17.5% of total)

ival-pow2: 3.0ms (13.1% of total)

ival-pow: 3.0ms (13.1% of total)

ival-mult: 2.0ms (8.8% of total)

exact: 1.0ms (4.4% of total)

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

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

series14.0ms (0.4%)

Memory

-21.5MiB live, 16.9MiB allocated

Counts

9 → 156

Calls

Call 1

Inputs
#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow (sqrt 1/500) 2))) (taylor 0 y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow (sqrt 1/500) 2))) (taylor 0 y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow (sqrt 1/500) 2))) (taylor 0 y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor 0 y) (#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor 0 y) (#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor 0 y) (#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor 0 y) (#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor inf y) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor inf y) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor inf y) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor inf y) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (pow (sqrt 1/500) 2))) (taylor inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (pow (sqrt 1/500) 2))) (taylor inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (pow (sqrt 1/500) 2))) (taylor inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor inf y) (#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor inf y) (#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor inf y) (#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor inf y) (#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/500 binary64)) (patch (.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (pow (sqrt -1/500) 2))) (taylor -inf y) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (pow (sqrt -1/500) 2))) (taylor -inf y) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (pow (sqrt -1/500) 2))) (taylor -inf y) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (pow (sqrt -1/500) 2))) (taylor -inf y) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (pow (sqrt -1/500) 2))) (taylor -inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2)))) (taylor -inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2)))) (taylor -inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2)))) (taylor -inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500)))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500)))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500)))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500)))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor 0 x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow (sqrt 1/500) 2))) (taylor 0 x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow (sqrt 1/500) 2))) (taylor 0 x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow (sqrt 1/500) 2))) (taylor 0 x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x))) (taylor inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x))) (taylor inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x))) (taylor inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((+ x (/ y 500)) (* y 1/500) (/ 1 (/ 500 y)) (+ x (/ 1 (/ 500 y))) (/ 500 y) (pow (pow (/ 500 y) -1/2) 2) (+ x (pow (pow (/ 500 y) -1/2) 2)) (pow (/ 500 y) -1/2) (+ (* y 1/500) x))
2.0ms	y	@	0	((+ x (/ y 500)) (* y 1/500) (/ 1 (/ 500 y)) (+ x (/ 1 (/ 500 y))) (/ 500 y) (pow (pow (/ 500 y) -1/2) 2) (+ x (pow (pow (/ 500 y) -1/2) 2)) (pow (/ 500 y) -1/2) (+ (* y 1/500) x))
1.0ms	y	@	inf	((+ x (/ y 500)) (* y 1/500) (/ 1 (/ 500 y)) (+ x (/ 1 (/ 500 y))) (/ 500 y) (pow (pow (/ 500 y) -1/2) 2) (+ x (pow (pow (/ 500 y) -1/2) 2)) (pow (/ 500 y) -1/2) (+ (* y 1/500) x))
0.0ms	x	@	inf	((+ x (/ y 500)) (* y 1/500) (/ 1 (/ 500 y)) (+ x (/ 1 (/ 500 y))) (/ 500 y) (pow (pow (/ 500 y) -1/2) 2) (+ x (pow (pow (/ 500 y) -1/2) 2)) (pow (/ 500 y) -1/2) (+ (* y 1/500) x))
0.0ms	x	@	0	((+ x (/ y 500)) (* y 1/500) (/ 1 (/ 500 y)) (+ x (/ 1 (/ 500 y))) (/ 500 y) (pow (pow (/ 500 y) -1/2) 2) (+ x (pow (pow (/ 500 y) -1/2) 2)) (pow (/ 500 y) -1/2) (+ (* y 1/500) x))

simplify124.0ms (3.4%)

Memory

16.1MiB live, 93.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	628
1	142	628
2	352	628
3	925	628
4	2593	628
5	4050	628
6	5700	628
7	6476	628
8	7061	628
9	7500	628
0	8030	556

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 144

Calls

Call 1

Inputs
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
x
(+ x (* y (pow (sqrt 1/500) 2)))
(+ x (* y (pow (sqrt 1/500) 2)))
(+ x (* y (pow (sqrt 1/500) 2)))
(* (sqrt y) (sqrt 1/500))
(* (sqrt y) (sqrt 1/500))
(* (sqrt y) (sqrt 1/500))
(* (sqrt y) (sqrt 1/500))
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
(* y (+ (/ x y) (pow (sqrt 1/500) 2)))
(* y (+ (/ x y) (pow (sqrt 1/500) 2)))
(* y (+ (/ x y) (pow (sqrt 1/500) 2)))
(* (sqrt y) (sqrt 1/500))
(* (sqrt y) (sqrt 1/500))
(* (sqrt y) (sqrt 1/500))
(* (sqrt y) (sqrt 1/500))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(* -1 (* y (pow (sqrt -1/500) 2)))
(* -1 (* y (pow (sqrt -1/500) 2)))
(* -1 (* y (pow (sqrt -1/500) 2)))
(* -1 (* y (pow (sqrt -1/500) 2)))
(* -1 (* y (pow (sqrt -1/500) 2)))
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2))))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* y (pow (sqrt 1/500) 2))
(+ x (* y (pow (sqrt 1/500) 2)))
(+ x (* y (pow (sqrt 1/500) 2)))
(+ x (* y (pow (sqrt 1/500) 2)))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x)))
(* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x)))
(* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x)))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
x
(* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1)))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))

Outputs
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
x
(+ x (* y (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* y (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* y (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (+ (/ x y) (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ (/ x y) (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ (/ x y) (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(* -1 (* y (pow (sqrt -1/500) 2)))
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (pow (sqrt -1/500) 2)))
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (pow (sqrt -1/500) 2)))
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (pow (sqrt -1/500) 2)))
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (pow (sqrt -1/500) 2)))
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/500 binary64))) (sqrt.f64 y)))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/500 binary64))) (sqrt.f64 y)))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/500 binary64))) (sqrt.f64 y)))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/500 binary64))) (sqrt.f64 y)))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(+ x (* y (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* y (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* y (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x)))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)

rewrite192.0ms (5.2%)

Memory

7.4MiB live, 165.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
0	26	37
1	99	37
2	599	37
3	7239	37
0	8226	37

Stop Event

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

Counts

9 → 609

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(*.f64 y #s(literal 1/500 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
(/.f64 #s(literal 500 binary64) y)
(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64))
(fma.f64 y #s(literal 1/500 binary64) x)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval88.0ms (2.4%)

Memory: -14.5MiB live, 215.1MiB allocated
Compiler: Compiled 11 965 to 968 computations (91.9% saved)

prune24.0ms (0.7%)

Memory

20.7MiB live, 67.2MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	813	2	815
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	814	6	820

Accuracy

100.0%

Counts

820 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
▶	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))))
▶	49.1%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	49.0%	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify17.0ms (0.5%)

Memory

-21.3MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))))
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))
cost-diff	0	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
cost-diff	384	(/.f64 y #s(literal 500 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
0	19	35
1	28	33
2	37	33
3	43	33
4	47	33
5	53	33
6	60	33
7	70	33
8	90	33
9	122	33
10	146	33
11	195	33
12	235	33
13	285	33
14	324	33
15	350	33
16	362	33
17	364	33
0	364	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))))
x
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(literal -500 binary64)

Outputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(/.f64 y #s(literal 500 binary64))
(*.f64 #s(literal 1/500 binary64) y)
y
#s(literal 500 binary64)
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))
(/.f64 #s(literal 500 binary64) y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(literal -500 binary64)

localize29.0ms (0.8%)

Memory

12.9MiB live, 50.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.01171875	(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))))
accuracy	0.26171875	(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))
accuracy	0.27734375	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))
accuracy	0	(/.f64 y #s(literal 500 binary64))
accuracy	32.60391504955814	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions

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

ival-div: 5.0ms (49.1% of total)

ival-add: 2.0ms (19.6% of total)

ival-mult: 2.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

6 → 96

Calls

Call 1

Inputs
#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())

Outputs
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	((/ y 500) (+ x (/ y 500)) (/ 1 (* (/ -1 y) -500)) (* (/ -1 y) -500) (+ x (/ 1 (* (/ -1 y) -500))) (/ -1 y))
1.0ms	y	@	inf	((/ y 500) (+ x (/ y 500)) (/ 1 (* (/ -1 y) -500)) (* (/ -1 y) -500) (+ x (/ 1 (* (/ -1 y) -500))) (/ -1 y))
1.0ms	y	@	-inf	((/ y 500) (+ x (/ y 500)) (/ 1 (* (/ -1 y) -500)) (* (/ -1 y) -500) (+ x (/ 1 (* (/ -1 y) -500))) (/ -1 y))
0.0ms	x	@	-inf	((/ y 500) (+ x (/ y 500)) (/ 1 (* (/ -1 y) -500)) (* (/ -1 y) -500) (+ x (/ 1 (* (/ -1 y) -500))) (/ -1 y))
0.0ms	x	@	inf	((/ y 500) (+ x (/ y 500)) (/ 1 (* (/ -1 y) -500)) (* (/ -1 y) -500) (+ x (/ 1 (* (/ -1 y) -500))) (/ -1 y))

simplify179.0ms (4.9%)

Memory

3.8MiB live, 122.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	348
1	67	348
2	144	348
3	397	348
4	1114	348
5	2560	348
6	3492	348
7	4424	348
8	4926	348
9	5120	348
10	5227	348
11	5945	348
12	6269	348
13	6271	348
14	6271	348
15	6271	348
0	8418	312

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 90

Calls

Call 1

Inputs
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))

Outputs
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)

rewrite132.0ms (3.6%)

Memory

-0.4MiB live, 130.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
0	19	26
1	75	26
2	427	26
3	3721	26
0	8889	24

Stop Event

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

Counts

6 → 246

Calls

Call 1

Inputs
(/.f64 y #s(literal 500 binary64))
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))))
(/.f64 #s(literal -1 binary64) y)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval57.0ms (1.6%)

Memory: -23.1MiB live, 52.0MiB allocated
Compiler: Compiled 3 916 to 625 computations (84% saved)

prune11.0ms (0.3%)

Memory

26.9MiB live, 26.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	335	1	336
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	335	7	342

Accuracy

100.0%

Counts

342 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))))
✓	49.1%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	49.0%	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
▶	2.5%	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))

Compiler

Compiled 37 to 40 computations (-8.1% saved)

simplify5.0ms (0.1%)

Memory

-32.6MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y #s(literal -1/500 binary64))
cost-diff	0	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
0	9	14
1	11	14
0	11	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))
(*.f64 y #s(literal -1/500 binary64))
y
#s(literal -1/500 binary64)

Outputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))
#s(approx (+ x (/ y 500)) (*.f64 #s(literal -1/500 binary64) y))
(*.f64 y #s(literal -1/500 binary64))
(*.f64 #s(literal -1/500 binary64) y)
y
#s(literal -1/500 binary64)

localize24.0ms (0.6%)

Memory

-1.9MiB live, 41.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.1015625	(*.f64 y #s(literal -1/500 binary64))
accuracy	62.41938852962452	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

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

ival-add: 4.0ms (34.2% of total)

const: 3.0ms (25.6% of total)

ival-div: 2.0ms (17.1% of total)

ival-mult: 2.0ms (17.1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())

#s(alt (*.f64 y #s(literal -1/500 binary64)) (patch (*.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor inf y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor inf y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor inf y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor inf y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	((+ x (/ y 500)) (* y -1/500))
0.0ms	y	@	0	((+ x (/ y 500)) (* y -1/500))
0.0ms	y	@	inf	((+ x (/ y 500)) (* y -1/500))
0.0ms	x	@	-inf	((+ x (/ y 500)) (* y -1/500))
0.0ms	x	@	inf	((+ x (/ y 500)) (* y -1/500))

simplify178.0ms (4.9%)

Memory

12.8MiB live, 124.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	138
1	65	138
2	141	138
3	403	138
4	1146	138
5	2517	138
6	3420	138
7	4277	138
8	4751	138
9	4925	138
10	5015	138
11	5713	138
12	6029	138
13	6031	138
14	6031	138
15	6031	138
0	8683	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))

Outputs
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)

rewrite129.0ms (3.5%)

Memory

10.3MiB live, 216.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
0	9	12
1	34	12
2	237	12
3	3696	12
0	8304	11

Stop Event

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

Counts

2 → 14

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))
(*.f64 y #s(literal -1/500 binary64))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval5.0ms (0.1%)

Memory: 10.6MiB live, 10.6MiB allocated
Compiler: Compiled 234 to 45 computations (80.8% saved)

prune7.0ms (0.2%)

Memory

-24.2MiB live, 14.6MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	47	7	54

Accuracy

100.0%

Counts

54 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))))
✓	49.1%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	49.0%	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
✓	2.5%	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))

Compiler

Compiled 83 to 68 computations (18.1% saved)

regimes16.0ms (0.4%)

Memory

-9.4MiB live, 28.8MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -500 binary64))))
(+.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))

Calls

4 calls:

5.0ms	x
3.0ms	(/.f64 y #s(literal 500 binary64))
3.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
100.0%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes9.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Outputs
(fma.f64 y #s(literal 1/500 binary64) x)

Calls

4 calls:

2.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms	(/.f64 y #s(literal 500 binary64))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
99.9%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))

Outputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))

Calls

4 calls:

2.0ms	(/.f64 y #s(literal 500 binary64))
2.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
49.0%	1	`x`
49.0%	1	`y`
49.0%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
49.0%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes8.0ms (0.2%)

Memory

-28.4MiB live, 11.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))

Outputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))

Calls

4 calls:

3.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms	(/.f64 y #s(literal 500 binary64))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
2.5%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
2.5%	1	`x`
2.5%	1	`y`
2.5%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify23.0ms (0.6%)

Memory

36.0MiB live, 36.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	17	27

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))
#s(approx (+ x (/ y 500)) (*.f64 #s(literal -1/500 binary64) y))

soundness658.0ms (17.9%)

Memory

-10.5MiB live, 312.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
0	26	37
1	99	37
2	599	37
3	7239	37
0	8226	37
0	5	8
0	7	8
1	31	8
2	235	8
3	3706	8
0	8295	7
0	23	138
1	64	138
2	141	138
3	395	138
4	1104	138
5	2534	138
6	3433	138
7	4306	138
8	4782	138
9	4957	138
10	5047	138
11	5745	138
12	6061	138
13	6065	138
14	6065	138
15	6065	138
0	8138	120
0	14	36
0	19	26
1	75	26
2	427	26
3	3721	26
0	8889	24

Stop Event

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

Compiler

Compiled 40 to 37 computations (7.5% saved)

preprocess74.0ms (2%)

Memory: -1.7MiB live, 75.9MiB allocated
Compiler: Compiled 44 to 34 computations (22.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	43
0	19	35
1	28	33
2	37	33
3	43	33
4	47	33
5	53	33
6	60	33
7	70	33
8	90	33
9	122	33
10	146	33
11	195	33
12	235	33
13	285	33
14	324	33
15	350	33
16	362	33
17	364	33
0	364	31

Iter	Nodes	Cost
0	14	43
0	19	35
1	28	33
2	37	33
3	43	33
4	47	33
5	53	33
6	60	33
7	70	33
8	90	33
9	122	33
10	146	33
11	195	33
12	235	33
13	285	33
14	324	33
15	350	33
16	362	33
17	364	33
0	364	31

start0.0ms (0%)

analyze0.0ms (0%)

sample860.0ms (23.4%)

explain56.0ms (1.5%)

preprocess25.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.4%)

series11.0ms (0.3%)

simplify249.0ms (6.8%)

rewrite353.0ms (9.6%)

eval21.0ms (0.6%)

prune7.0ms (0.2%)

simplify5.0ms (0.1%)

localize48.0ms (1.3%)

series14.0ms (0.4%)

simplify124.0ms (3.4%)

rewrite192.0ms (5.2%)

eval88.0ms (2.4%)

prune24.0ms (0.7%)

simplify17.0ms (0.5%)

localize29.0ms (0.8%)

series5.0ms (0.1%)

simplify179.0ms (4.9%)

rewrite132.0ms (3.6%)

eval57.0ms (1.6%)

prune11.0ms (0.3%)

simplify5.0ms (0.1%)

localize24.0ms (0.6%)

series2.0ms (0.1%)

simplify178.0ms (4.9%)

rewrite129.0ms (3.5%)

eval5.0ms (0.1%)

prune7.0ms (0.2%)

regimes16.0ms (0.4%)

regimes9.0ms (0.2%)

regimes7.0ms (0.2%)

regimes8.0ms (0.2%)

simplify23.0ms (0.6%)

soundness658.0ms (17.9%)

preprocess74.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	43
0	19	35
1	28	33
2	37	33
3	43	33
4	47	33
5	53	33
6	60	33
7	70	33
8	90	33
9	122	33
10	146	33
11	195	33
12	235	33
13	285	33
14	324	33
15	350	33
16	362	33
17	364	33
0	364	31