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

0.5MiB live, 0.5MiB 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)

sample738.0ms (22.4%)

Memory

-113.8MiB live, 796.0MiB allocated

Samples

532.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-div: 85.0ms (59.4% of total)

ival-add: 45.0ms (31.4% of total)

ival-true: 6.0ms (4.2% of total)

exact: 5.0ms (3.5% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

explain166.0ms (5%)

Memory

1.4MiB live, 114.4MiB 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

24.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

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

ival-div: 10.0ms (78% of total)

ival-add: 2.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.5%)

Memory

39.8MiB live, 39.8MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`sub-neg`
40×	`distribute-lft-neg-in`
34×	`cancel-sign-sub`
26×	`*-commutative`
24×	`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)

eval3.0ms (0.1%)

Memory: -37.2MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory

4.5MiB live, 4.5MiB 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)

simplify4.0ms (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

4×	`lower-+.f32`
2×	`lift-+.f64`
2×	`lift-/.f64`
2×	`lower-+.f64`
2×	`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)

localize22.0ms (0.7%)

Memory

-9.2MiB live, 36.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 500 binary64))
accuracy	0.015625	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Samples

17.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (56.1% of total)

ival-add: 1.0ms (28.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB 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
1.0ms	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))

simplify195.0ms (5.9%)

Memory

9.1MiB live, 126.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 188×	`lower-/.f32`
4 188×	`lower-/.f64`
3 666×	`associate-/r*`
2 352×	`lower-fma.f64`
2 352×	`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))

rewrite154.0ms (4.7%)

Memory

-39.1MiB live, 228.7MiB allocated

Rules

3 588×	`lower-/.f32`
3 586×	`lower-/.f64`
3 556×	`lower-fma.f64`
3 556×	`lower-fma.f32`
2 998×	`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 #s(literal 1/250000 binary64) (.f64 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 #s(literal 1/250000 binary64) (.f64 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 (.f64 x x) x)) x (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.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 #s(literal 1/250000 binary64) (.f64 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 (.f64 x x) x)) x (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.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 x x) (.f64 (.f64 x x) x)) x (.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))))) (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 #s(literal 1/250000 binary64) (.f64 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 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.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 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.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)))

eval21.0ms (0.6%)

Memory: 1.7MiB live, 39.3MiB allocated
Compiler: Compiled 3 812 to 418 computations (89% saved)

prune25.0ms (0.8%)

Memory

17.5MiB live, 56.1MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	184	4	188

Accuracy

100.0%

Counts

188 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
▶	49.4%	(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	46.5%	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify6.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 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 (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64))
cost-diff	7104	(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
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

8×	`lower-+.f32`
6×	`lower-+.f64`
6×	`lower-fma.f32`
6×	`lower-*.f32`
6×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	50
0	21	48
1	29	40
2	33	40
3	36	40
0	36	40

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

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

localize136.0ms (4.1%)

Memory

-8.6MiB live, 74.9MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 y #s(literal 1/500 binary64) x)
accuracy	0.0078125	(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
accuracy	0.07421875	(*.f64 #s(literal 1/500 binary64) y)
accuracy	0.07650375976844202	(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64))
accuracy	0.29525375976844204	(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy	0.07421875	(*.f64 y #s(literal 1/500 binary64))
accuracy	17.0548967192851	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))

Samples

18.0ms	127×	0	valid
14.0ms	129×	0	invalid

Compiler

Compiled 49 to 16 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 7.0ms (32.8% of total)

const: 4.0ms (18.7% of total)

ival-add: 3.0ms (14.1% of total)

ival-div: 2.0ms (9.4% of total)

ival-sqrt: 2.0ms (9.4% of total)

ival-pow2: 2.0ms (9.4% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (1.4%)

Memory

-23.0MiB live, 14.5MiB allocated

Counts

7 → 120

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

30 calls:

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

simplify133.0ms (4%)

Memory

32.8MiB live, 112.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2 688×	`lower-/.f32`
2 688×	`lower-/.f64`
2 652×	`lower-fma.f64`
2 652×	`lower-fma.f32`
2 396×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	490
1	140	490
2	350	490
3	913	490
4	2572	490
5	4027	490
6	5651	490
7	6405	490
8	6979	490
9	7413	490
0	9293	436

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 111

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

rewrite160.0ms (4.9%)

Memory

5.2MiB live, 201.8MiB allocated

Rules

5 994×	`lower-fma.f32`
5 992×	`lower-fma.f64`
3 914×	`lower-*.f32`
3 910×	`lower-*.f64`
2 434×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	40
0	21	35
1	93	29
2	575	29
3	7628	29
0	8184	29

Stop Event

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

Counts

7 → 576

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 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 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64))
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.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 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/500 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)))) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))) (sqrt.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/500 binary64))) (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)) (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)) (.f64 #s(literal 1/500 binary64) y)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64))
(.f64 (.f64 y (sqrt.f64 #s(literal 1/500 binary64))) (sqrt.f64 #s(literal 1/500 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(.f64 (.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y))
(.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(.f64 (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))))
(.f64 (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)) (*.f64 y (sqrt.f64 #s(literal 1/500 binary64)))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/500 binary64) y))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal 1/500 binary64) y))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 1/500 binary64)))
(.f64 (sqrt.f64 #s(literal 1/500 binary64)) (.f64 (sqrt.f64 #s(literal 1/500 binary64)) y))
(.f64 (sqrt.f64 #s(literal 1/500 binary64)) (.f64 (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 #s(literal 1/500 binary64)) (pow.f64 (.f64 y (sqrt.f64 #s(literal 1/500 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 #s(literal 1/500 binary64)) (.f64 y (sqrt.f64 #s(literal 1/500 binary64))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/500 binary64) y))
(.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))
(.f64 (.f64 #s(literal 1/500 binary64) 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) y)
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 1/500 binary64) y)) #s(literal 1/2 binary64)))
(pow.f64 (.f64 #s(literal 1/62500000000 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 500 binary64) y)))
(/.f64 (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))) (.f64 (sqrt.f64 #s(literal -500 binary64)) (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)) (.f64 (sqrt.f64 #s(literal -500 binary64)) (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))) (.f64 (sqrt.f64 #s(literal 500 binary64)) (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 y))) (.f64 (sqrt.f64 (/.f64 #s(literal 500 binary64) y)) (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 (sqrt.f64 (/.f64 #s(literal 500 binary64) y)) (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal -500 binary64)) (sqrt.f64 (/.f64 #s(literal 500 binary64) y))))
(/.f64 (.f64 (sqrt.f64 y) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 500 binary64)) (sqrt.f64 (/.f64 #s(literal 500 binary64) y))))
(/.f64 (sqrt.f64 (.f64 (.f64 #s(literal -1/500 binary64) y) y)) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal -250000 binary64)))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal -250000 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 #s(literal 250000 binary64) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 500 binary64) y)) (sqrt.f64 (/.f64 #s(literal 500 binary64) y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 250000 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (sqrt.f64 (/.f64 #s(literal 500 binary64) y)))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (*.f64 (sqrt.f64 #s(literal 500 binary64)) (sqrt.f64 #s(literal 500 binary64))))
(/.f64 y (exp.f64 (log.f64 #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))
(sqrt.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(fabs.f64 (*.f64 #s(literal 1/500 binary64) y))
(exp.f64 (.f64 (neg.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)))
(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/500 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)))) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))) (sqrt.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/500 binary64))) (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)) (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y)) (.f64 #s(literal 1/500 binary64) y)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64))
(.f64 (.f64 y (sqrt.f64 #s(literal 1/500 binary64))) (sqrt.f64 #s(literal 1/500 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
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(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 #s(literal 1 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 x (/.f64 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 #s(literal 1/250000 binary64) y) (/.f64 y (fma.f64 #s(literal -1/500 binary64) y x))))
(-.f64 x (*.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)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.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 #s(literal 1/500 binary64) y) x)
(+.f64 x (*.f64 #s(literal 1/500 binary64) y))

eval205.0ms (6.2%)

Memory: 4.1MiB live, 163.2MiB allocated
Compiler: Compiled 11 954 to 1 041 computations (91.3% saved)

prune100.0ms (3%)

Memory

5.8MiB live, 160.3MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	685	2	687
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	686	5	691

Accuracy

100.0%

Counts

691 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.4%	(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	46.6%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	46.5%	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify8.0ms (0.2%)

Memory

-23.5MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
cost-diff	1600	(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
cost-diff	0	(/.f64 y #s(literal 500 binary64))
cost-diff	0	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Rules

18×	`lower-*.f32`
16×	`lower-*.f64`
12×	`lower-fma.f32`
10×	`lower-fma.f64`
8×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	16	31
1	21	31
2	24	28
3	26	28
4	29	28
5	30	28
0	30	27

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

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

localize33.0ms (1%)

Memory

27.9MiB live, 65.2MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 y)
accuracy	0.0625	(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
accuracy	0.1328125	(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
accuracy	0	(/.f64 y #s(literal 500 binary64))
accuracy	17.0548967192851	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Samples

12.0ms	127×	0	valid
11.0ms	129×	0	invalid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

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

const: 5.0ms (34.6% of total)

ival-mult: 3.0ms (20.7% of total)

ival-div: 2.0ms (13.8% of total)

ival-add: 2.0ms (13.8% of total)

ival-sqrt: 2.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

-35.2MiB live, 8.5MiB allocated

Counts

5 → 84

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

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	(* (sqrt y) 1/500)
1.0ms	y	@	-inf	(+ (* (* (sqrt y) 1/500) (sqrt y)) x)
1.0ms	y	@	-inf	(* (sqrt y) 1/500)
0.0ms	y	@	inf	(* (sqrt y) 1/500)
0.0ms	y	@	0	(+ (* (* (sqrt y) 1/500) (sqrt y)) x)

simplify185.0ms (5.6%)

Memory

44.7MiB live, 151.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 572×	`lower-fma.f64`
4 572×	`lower-fma.f32`
3 400×	`lower-*.f64`
3 400×	`lower-*.f32`
1 156×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	312
1	103	312
2	292	312
3	706	312
4	2476	312
5	5771	312
0	8254	276

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

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

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

rewrite162.0ms (4.9%)

Memory

-32.3MiB live, 224.0MiB allocated

Rules

5 786×	`lower-fma.f32`
5 784×	`lower-fma.f64`
3 730×	`lower-*.f32`
3 728×	`lower-*.f64`
1 816×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
0	16	26
1	55	26
2	381	23
3	5744	23
0	8467	21

Stop Event

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

Counts

5 → 161

Calls

Call 1

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

Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) y)
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64))))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/500 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(.f64 (.f64 (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 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 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y))))
(*.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 binary64) (.f64 #s(literal 1/500 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(.f64 (.f64 #s(literal 1/500 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 #s(literal 1/500 binary64) y)
(.f64 (sqrt.f64 y) (exp.f64 (log.f64 (.f64 #s(literal 1/500 binary64) (sqrt.f64 y)))))
(.f64 (sqrt.f64 y) (.f64 #s(literal 1/500 binary64) (sqrt.f64 y)))
(.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal 1/500 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 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (exp.f64 (log.f64 #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)))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 (neg.f64 x) x) x))) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (*.f64 x (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 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (fma.f64 #s(literal -1/500 binary64) y x) 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 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 #s(literal -1/500 binary64) y x)) (fma.f64 #s(literal -1/500 binary64) y x))) (.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y))))) (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 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/62500000000 binary64) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) (.f64 (fma.f64 #s(literal -1/500 binary64) y 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 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x) (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/62500000000 binary64) (.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 (/.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))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)) (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (neg.f64 (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 (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) (/.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 (fma.f64 #s(literal -1/500 binary64) y x) 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 (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 (neg.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 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)) (-.f64 (*.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 (fma.f64 #s(literal -1/500 binary64) y x) x)))))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) 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 (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y)))) (sqrt.f64 y) x)
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) y) (fma.f64 #s(literal -1/125000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 (neg.f64 x) x) x))) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (fma.f64 #s(literal 1/500 binary64) y x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) y) (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 x (/.f64 x (-.f64 (.f64 #s(literal 1/500 binary64) y) 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 #s(literal 1/250000 binary64) (.f64 y y) (.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 (/.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 (.f64 (.f64 #s(literal 1/500 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) 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 (.f64 #s(literal 1/250000 binary64) y) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (.f64 (.f64 (sqrt.f64 y) y) #s(literal 1/500 binary64)) (/.f64 (.f64 #s(literal 1/500 binary64) (sqrt.f64 y)) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (.f64 #s(literal 1/250000 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 #s(literal 1/500 binary64) (sqrt.f64 y))) x)
(fma.f64 #s(literal -1/500 binary64) (neg.f64 y) 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) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/500 binary64) y))
(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 x (/.f64 x (-.f64 (.f64 #s(literal 1/500 binary64) y) x)))))
(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) (sqrt.f64 y)) (/.f64 (.f64 (.f64 (sqrt.f64 y) y) #s(literal 1/500 binary64)) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 #s(literal 1/500 binary64) y x)
(fma.f64 (sqrt.f64 y) (exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y)))) x)
(fma.f64 (sqrt.f64 y) (/.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) (sqrt.f64 y)) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (sqrt.f64 y) (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y)) x)
(fma.f64 (.f64 #s(literal 1/500 binary64) y) (/.f64 (.f64 #s(literal 1/500 binary64) y) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64) x)
(fma.f64 y (exp.f64 (log.f64 #s(literal 1/500 binary64))) x)
(fma.f64 y (/.f64 (.f64 #s(literal 1/250000 binary64) y) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/500 binary64) y) 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 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 (/.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 #s(literal -1/500 binary64) y x)) (.f64 x (/.f64 x (-.f64 (.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 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.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 (.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1/500 binary64)))
(*.f64 #s(literal 1/500 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))

eval27.0ms (0.8%)

Memory: -0.6MiB live, 75.2MiB allocated
Compiler: Compiled 4 433 to 437 computations (90.1% saved)

prune122.0ms (3.7%)

Memory

-17.4MiB live, 69.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	264	5	269

Accuracy

100.0%

Counts

269 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.4%	(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	46.6%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	46.5%	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))

Compiler

Compiled 71 to 40 computations (43.7% saved)

regimes11.0ms (0.3%)

Memory

16.4MiB live, 16.4MiB 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)
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))

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

Calls

4 calls:

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

regimes8.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

3 → 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)
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.6%)

Memory

-29.9MiB live, 9.2MiB 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:

16.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms	(/.f64 y #s(literal 500 binary64))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
46.5%	1	`x`
46.5%	1	`y`
46.5%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
46.5%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	13	18

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness440.0ms (13.4%)

Memory

3.4MiB live, 83.2MiB allocated

Rules

4 188×	`lower-/.f32`
4 188×	`lower-/.f64`
3 666×	`associate-/r*`
3 588×	`lower-/.f32`
3 586×	`lower-/.f64`

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
0	5	8
0	7	8
1	31	8
2	235	8
3	3706	8
0	8295	7

Stop Event

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

preprocess122.0ms (3.7%)

Memory: 20.5MiB live, 57.3MiB allocated
Compiler: Compiled 44 to 26 computations (40.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample738.0ms (22.4%)

explain166.0ms (5%)

preprocess17.0ms (0.5%)

eval3.0ms (0.1%)

prune2.0ms (0%)

simplify4.0ms (0.1%)

localize22.0ms (0.7%)

series3.0ms (0.1%)

simplify195.0ms (5.9%)

rewrite154.0ms (4.7%)

eval21.0ms (0.6%)

prune25.0ms (0.8%)

simplify6.0ms (0.2%)

localize136.0ms (4.1%)

series45.0ms (1.4%)

simplify133.0ms (4%)

rewrite160.0ms (4.9%)

eval205.0ms (6.2%)

prune100.0ms (3%)

simplify8.0ms (0.2%)

localize33.0ms (1%)

series11.0ms (0.3%)

simplify185.0ms (5.6%)

rewrite162.0ms (4.9%)

eval27.0ms (0.8%)

prune122.0ms (3.7%)

regimes11.0ms (0.3%)

regimes8.0ms (0.2%)

regimes20.0ms (0.6%)

simplify6.0ms (0.2%)

soundness440.0ms (13.4%)

preprocess122.0ms (3.7%)

end0.0ms (0%)

Profiling