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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample726.0ms (22%)

Memory

34.5MiB live, 794.2MiB allocated

Samples

468.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-div: 109.0ms (63.8% of total)

ival-add: 47.0ms (27.5% of total)

ival-true: 6.0ms (3.5% of total)

exact: 5.0ms (2.9% of total)

ival-assert: 4.0ms (2.3% of total)

Bogosity

explain79.0ms (2.4%)

Memory

-26.1MiB live, 81.6MiB 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

19.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (53% of total)

ival-add: 2.0ms (26.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess21.0ms (0.6%)

Memory

-0.8MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`sub-neg`
20×	`distribute-lft-neg-in`
17×	`cancel-sign-sub`
13×	`*-commutative`
12×	`associate--r+`

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 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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)))

Rules

2×	`lower-+.f32`
1×	`lift-+.f64`
1×	`lift-/.f64`
1×	`lower-+.f64`
1×	`lower-/.f32`

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)

localize18.0ms (0.5%)

Memory

7.0MiB live, 43.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 500 binary64))
accuracy	0.00390625	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 6.0ms (82.6% of total)

ival-add: 1.0ms (13.8% 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

-30.6MiB live, 7.6MiB 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 (* 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>) () ())) ())
#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 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 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 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 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 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>) () ())) ())

Calls

9 calls:

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

simplify188.0ms (5.7%)

Memory

27.4MiB live, 185.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2 094×	`lower-/.f32`
2 094×	`lower-/.f64`
1 833×	`associate-/r*`
1 176×	`lower-fma.f64`
1 176×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	64	138
2	141	138
3	398	138
4	1108	138
5	2539	138
6	3437	138
7	4311	138
8	4789	138
9	4964	138
10	5054	138
11	5752	138
12	6068	138
13	6070	138
14	6070	138
15	6070	138
0	8131	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* 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)))
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 (* 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)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)

Outputs
(* 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)
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 (* 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))
(* 1/500 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))

rewrite265.0ms (8%)

Memory

-7.8MiB live, 260.5MiB allocated

Rules

1 794×	`lower-/.f32`
1 793×	`lower-/.f64`
1 778×	`lower-fma.f64`
1 778×	`lower-fma.f32`
1 499×	`lower-*.f64`

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
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) y) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (*.f64 x x) x))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 #s(literal -1/1953125000000000000000000 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y)) (-.f64 (.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))
(.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 x x (.f64 (.f64 #s(literal -1/500 binary64) y) (-.f64 (.f64 #s(literal 1/500 binary64) y) x))))) (fma.f64 x x (.f64 (.f64 #s(literal -1/500 binary64) y) (-.f64 (.f64 #s(literal 1/500 binary64) y) x))))
(.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/500 binary64) y) x) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/500 binary64) y) x) (.f64 #s(literal 1/500 binary64) y)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/500 binary64) y) x) (.f64 #s(literal 1/500 binary64) y)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/500 binary64) y x))
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(/.f64 (.f64 (fma.f64 #s(literal -1/1953125000000000000000000 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y)) (-.f64 (.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/500 binary64) y x)) (.f64 (fma.f64 #s(literal -1/500 binary64) y x) (.f64 (.f64 #s(literal 1/250000 binary64) y) y))) (.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 #s(literal -1/500 binary64) y x)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))) (.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) y) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))) (.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (*.f64 x x) x))))
(/.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(/.f64 (fma.f64 #s(literal -1/1953125000000000000000000 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 (.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y)) (-.f64 (.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/500 binary64) y) x) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))))
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/500 binary64) y) x) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)))
(/.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (fma.f64 #s(literal -1/500 binary64) y x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))))))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y)) x)
(fma.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64))) x)
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64))) x)
(fma.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64) x)
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x) (.f64 x x)) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (fma.f64 #s(literal 1/500 binary64) y x) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))))
(fma.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64) x)
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/500 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y) x)
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 #s(literal 1/500 binary64) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/500 binary64) y))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))))
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) x)
(fma.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64) x)
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) y) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(-.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(+.f64 x (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/500 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/500 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 250000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/500 binary64) y)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 500 binary64))))
(/.f64 #s(literal -1/500 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))

eval61.0ms (1.8%)

Memory: 11.9MiB live, 45.3MiB allocated
Compiler: Compiled 3 812 to 417 computations (89.1% saved)

prune80.0ms (2.4%)

Memory

-15.6MiB live, 62.4MiB 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)
▶	99.9%	(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
✓	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 35 to 25 computations (28.6% saved)

simplify19.0ms (0.6%)

Memory

-24.4MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff	0	(*.f64 #s(literal -1/500 binary64) y)
cost-diff	128	(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
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)))

Rules

72×	`lower-fma.f32`
71×	`lower-fma.f64`
48×	`lower-*.f32`
46×	`lower-*.f64`
26×	`sub-neg`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	16	51
0	23	45
1	36	45
2	43	45
3	52	45
4	64	45
5	88	45
6	122	45
7	151	45
8	201	45
9	249	44
10	302	44
11	319	44
12	335	44
13	352	44
14	396	44
15	400	44
0	400	44

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

localize50.0ms (1.5%)

Memory

22.9MiB live, 94.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(fma.f64 y #s(literal 1/500 binary64) x)
accuracy	0.00390625	(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
accuracy	0.12109375	(*.f64 #s(literal -1/500 binary64) y)
accuracy	0	(/.f64 #s(literal 500 binary64) y)
accuracy	0.00390625	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
accuracy	0.6392976499722811	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
accuracy	0.12109375	(*.f64 y #s(literal 1/500 binary64))
accuracy	32.55826796228347	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))

Samples

36.0ms

256×

valid

Compiler

Compiled 50 to 17 computations (66% saved)

Precisions

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

ival-div: 6.0ms (27% of total)

const: 6.0ms (27% of total)

ival-add: 5.0ms (22.5% of total)

ival-mult: 3.0ms (13.5% of total)

ival-sub: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

8 → 144

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

36 calls:

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

simplify200.0ms (6%)

Memory

-13.9MiB live, 112.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 396×	`lower-*.f64`
1 396×	`lower-*.f32`
1 388×	`lower-/.f32`
1 388×	`lower-/.f64`
1 080×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	552
1	71	552
2	150	552
3	429	552
4	1237	552
5	2450	552
6	3231	552
7	3600	552
8	3925	552
9	4107	552
10	5468	552
11	6328	552
12	7184	552
13	7486	552
0	8090	480

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 132

Calls

Call 1

Inputs
(* 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)))
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 (* 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)
(* 1/500 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)
(* 1/500 y)
(* 1/500 y)
(* 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)))
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 (* 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)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 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)))
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 (* 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)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
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 (* 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))
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
(* 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)
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 (* 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))
(* 1/500 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))
(* 1/500 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 (* 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)
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 (* 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)
(/ 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)
(/ 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))
(- 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)
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 (* 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 #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 #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)
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 (* 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)
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)

rewrite282.0ms (8.5%)

Memory

0.6MiB live, 275.5MiB allocated

Rules

3 560×	`lower-fma.f32`
3 559×	`lower-fma.f64`
1 635×	`lower-*.f32`
1 633×	`lower-*.f64`
1 037×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
0	23	32
1	96	32
2	640	32
3	7968	32
0	8483	32

Stop Event

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

Counts

8 → 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)
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal -1/500 binary64) y)
(fma.f64 y #s(literal 1/500 binary64) x)

Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal -1/500 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
(.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 250000 binary64) y) y) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -500 binary64))
(/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y)))
(/.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/500 binary64) y)))))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/500 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal -1/500 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
(.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 250000 binary64) y) y) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -500 binary64))
(/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y)))
(/.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/500 binary64) y)))))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/500 binary64) y))
(.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x)) (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))))
(.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))
(.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) y) (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x))))) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))
(.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (-.f64 (.f64 #s(literal 1/62500000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x))))) (-.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) y) (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))
(.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x))) (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1/15625000000000000 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x) (-.f64 (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x) (.f64 (.f64 #s(literal 1/250000 binary64) y) y)) (.f64 #s(literal 1/62500000000 binary64) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) y) (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x))) (.f64 (.f64 #s(literal -1/500 binary64) y) (fma.f64 #s(literal -1/500 binary64) y x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (fma.f64 (.f64 (.f64 #s(literal -1/500 binary64) y) (fma.f64 #s(literal -1/500 binary64) y x)) (-.f64 (.f64 (.f64 #s(literal -1/500 binary64) y) (fma.f64 #s(literal -1/500 binary64) y x)) (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x)))
(.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))
(.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x)) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x)))
(.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x))) (fma.f64 #s(literal -1/500 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))
(.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x)))) (fma.f64 #s(literal -1/500 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x)))) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))) (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (*.f64 x x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))
(*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x))))
(*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 #s(literal -1/500 binary64) y x)))
(.f64 (fma.f64 #s(literal -1/500 binary64) y x) (.f64 (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))
(.f64 (fma.f64 #s(literal -1/500 binary64) y x) (.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))
(.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))
(.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))))
(.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) (.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))))
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(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))) (neg.f64 (.f64 #s(literal -1/125000000 binary64) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))))))
(fma.f64 (.f64 #s(literal -1/500 binary64) y) (/.f64 (.f64 #s(literal -1/500 binary64) y) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/500 binary64) y x))))
(fma.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64) x)
(fma.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64) x)
(fma.f64 (.f64 y y) (/.f64 #s(literal 1/250000 binary64) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/500 binary64) y x))))
(fma.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/500 binary64) y x))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))) (neg.f64 (.f64 #s(literal -1/125000000 binary64) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (.f64 (*.f64 #s(literal 1/250000 binary64) y) (/.f64 y (fma.f64 #s(literal -1/500 binary64) y x)))))
(fma.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))) (neg.f64 (.f64 #s(literal -1/125000000 binary64) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))))))
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) x)
(fma.f64 (neg.f64 y) #s(literal 1/500 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 y) #s(literal 1/500 binary64) x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y) x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/500 binary64) y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/500 binary64) y) x)
(fma.f64 #s(literal -1/500 binary64) (/.f64 (.f64 (.f64 #s(literal -1/500 binary64) y) y) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/500 binary64) y x))))
(fma.f64 #s(literal -1/500 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/500 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1/500 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/500 binary64) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/500 binary64) y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/500 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/500 binary64) y x))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/500 binary64) y))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/500 binary64) y))
(fma.f64 #s(literal 1/500 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/500 binary64)) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/500 binary64) y x))))
(fma.f64 #s(literal 1/500 binary64) (neg.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/500 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1/500 binary64) y x)
(fma.f64 (.f64 #s(literal 1/500 binary64) y) (/.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/500 binary64) y x))))
(fma.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal -1 binary64) x)
(fma.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64) x)
(fma.f64 y (/.f64 (.f64 #s(literal 1/250000 binary64) y) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/500 binary64) y x))))
(fma.f64 y #s(literal -1/500 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 y #s(literal -1/500 binary64) x)
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) (/.f64 y (fma.f64 #s(literal -1/500 binary64) y x)))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))) (neg.f64 (.f64 #s(literal -1/125000000 binary64) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal -1/500 binary64) y))
(-.f64 (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal -1/500 binary64) y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/500 binary64) y x)))
(-.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (.f64 (*.f64 #s(literal 1/250000 binary64) y) (/.f64 y (fma.f64 #s(literal -1/500 binary64) y x))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))) (.f64 #s(literal -1/125000000 binary64) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal -1/500 binary64) y) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x)))
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
(-.f64 x (*.f64 #s(literal 1/500 binary64) y))
(+.f64 (-.f64 x #s(literal 0 binary64)) (*.f64 #s(literal -1/500 binary64) y))
(+.f64 (*.f64 #s(literal -1/500 binary64) y) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 #s(literal -1/500 binary64) y) x)
(+.f64 (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/500 binary64) y x))))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (neg.f64 (.f64 (*.f64 #s(literal 1/250000 binary64) y) (/.f64 y (fma.f64 #s(literal -1/500 binary64) y x)))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))) (neg.f64 (.f64 #s(literal -1/125000000 binary64) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))))))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/500 binary64) y))
(+.f64 x (*.f64 #s(literal 1/500 binary64) y))

eval84.0ms (2.6%)

Memory: -8.7MiB live, 192.2MiB allocated
Compiler: Compiled 14 385 to 621 computations (95.7% saved)

prune56.0ms (1.7%)

Memory

7.7MiB live, 132.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	740	1	741
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	740	6	746

Accuracy

100.0%

Counts

746 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	99.9%	(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
✓	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)))
▶	49.1%	#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 41 to 29 computations (29.3% saved)

simplify4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB 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	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Rules

2×	`lower-+.f64`
2×	`lower-+.f32`
1×	`lift-/.f64`
1×	`lower-/.f32`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	8	14
1	9	14
0	9	14

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)

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

localize106.0ms (3.2%)

Memory

-16.8MiB live, 22.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 500 binary64))
accuracy	32.55826796228347	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Samples

101.0ms

256×

valid

Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions

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

ival-div: 2.0ms (47% of total)

ival-add: 2.0ms (47% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

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

Outputs
#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 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 #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 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 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 #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 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 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 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>) () ())) ())

Calls

9 calls:

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

simplify210.0ms (6.4%)

Memory

11.6MiB live, 92.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2 094×	`lower-/.f32`
2 094×	`lower-/.f64`
1 833×	`associate-/r*`
1 176×	`lower-fma.f64`
1 176×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	64	138
2	141	138
3	398	138
4	1108	138
5	2539	138
6	3437	138
7	4311	138
8	4789	138
9	4964	138
10	5054	138
11	5752	138
12	6068	138
13	6070	138
14	6070	138
15	6070	138
0	8131	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* 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)))
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 (* 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)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)

Outputs
(* 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)
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 (* 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))
(* 1/500 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))

rewrite153.0ms (4.6%)

Memory

11.0MiB live, 242.9MiB allocated

Rules

1 794×	`lower-/.f32`
1 793×	`lower-/.f64`
1 778×	`lower-fma.f64`
1 778×	`lower-fma.f32`
1 499×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
0	8	12
1	32	12
2	236	12
3	3707	12
0	8296	11

Stop Event

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

Counts

2 → 41

Calls

Call 1

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

Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64))))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/500 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/500 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 250000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/500 binary64) y)))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 500 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 #s(literal -1/500 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))

eval8.0ms (0.3%)

Memory: -18.9MiB live, 20.0MiB allocated
Compiler: Compiled 462 to 94 computations (79.7% saved)

prune9.0ms (0.3%)

Memory

26.0MiB live, 26.0MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	74	6	80

Accuracy

100.0%

Counts

80 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	99.9%	(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
✓	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)))
✓	49.1%	#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 72 to 44 computations (38.9% saved)

regimes25.0ms (0.8%)

Memory

-32.8MiB live, 23.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
6.0ms	(/.f64 y #s(literal 500 binary64))
3.0ms	y
3.0ms	x

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 18 to 13 computations (27.8% saved)

regimes9.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

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 18 to 13 computations (27.8% saved)

regimes8.0ms (0.2%)

Memory

-25.8MiB live, 13.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms	y
2.0ms	(/.f64 y #s(literal 500 binary64))
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 18 to 13 computations (27.8% saved)

regimes5.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB 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:

1.0ms	(/.f64 y #s(literal 500 binary64))
1.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms	x
1.0ms	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 18 to 13 computations (27.8% saved)

simplify7.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	22	23
2	34	23
3	40	23
4	44	23
5	45	23

Stop Event

1×

saturated

Calls

Call 1

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

soundness590.0ms (17.8%)

Memory

-13.5MiB live, 264.7MiB allocated

Rules

2 094×	`lower-/.f32`
2 094×	`lower-/.f64`
1 833×	`associate-/r*`
1 794×	`lower-/.f32`
1 793×	`lower-/.f64`

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
0	23	138
1	64	138
2	141	138
3	398	138
4	1108	138
5	2539	138
6	3437	138
7	4311	138
8	4789	138
9	4964	138
10	5054	138
11	5752	138
12	6068	138
13	6070	138
14	6070	138
15	6070	138
0	8131	120

Stop Event

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

Compiler

Compiled 48 to 30 computations (37.5% saved)

preprocess28.0ms (0.8%)

Memory: 0.1MiB live, 77.6MiB allocated
Compiler: Compiled 54 to 32 computations (40.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	51
0	23	45
1	36	45
2	43	45
3	52	45
4	64	45
5	88	45
6	122	45
7	151	45
8	201	45
9	249	44
10	302	44
11	319	44
12	335	44
13	352	44
14	396	44
15	400	44
0	400	44

Iter	Nodes	Cost
0	16	51
0	23	45
1	36	45
2	43	45
3	52	45
4	64	45
5	88	45
6	122	45
7	151	45
8	201	45
9	249	44
10	302	44
11	319	44
12	335	44
13	352	44
14	396	44
15	400	44
0	400	44

start0.0ms (0%)

analyze0.0ms (0%)

sample726.0ms (22%)

explain79.0ms (2.4%)

preprocess21.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.5%)

series5.0ms (0.1%)

simplify188.0ms (5.7%)

rewrite265.0ms (8%)

eval61.0ms (1.8%)

prune80.0ms (2.4%)

simplify19.0ms (0.6%)

localize50.0ms (1.5%)

series5.0ms (0.2%)

simplify200.0ms (6%)

rewrite282.0ms (8.5%)

eval84.0ms (2.6%)

prune56.0ms (1.7%)

simplify4.0ms (0.1%)

localize106.0ms (3.2%)

series1.0ms (0%)

simplify210.0ms (6.4%)

rewrite153.0ms (4.6%)

eval8.0ms (0.3%)

prune9.0ms (0.3%)

regimes25.0ms (0.8%)

regimes9.0ms (0.3%)

regimes8.0ms (0.2%)

regimes5.0ms (0.2%)

simplify7.0ms (0.2%)

soundness590.0ms (17.8%)

preprocess28.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	51
0	23	45
1	36	45
2	43	45
3	52	45
4	64	45
5	88	45
6	122	45
7	151	45
8	201	45
9	249	44
10	302	44
11	319	44
12	335	44
13	352	44
14	396	44
15	400	44
0	400	44