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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample545.0ms (14.6%)

Memory

29.0MiB live, 894.2MiB allocated

Samples

342.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-div: 98.0ms (65.4% of total)

ival-add: 40.0ms (26.7% of total)

ival-true: 5.0ms (3.3% of total)

exact: 4.0ms (2.7% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

preprocess120.0ms (3.2%)

Memory

-16.1MiB live, 22.0MiB 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)))

explain54.0ms (1.4%)

Memory

26.5MiB live, 65.3MiB 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 40 to 24 computations (40% saved)

Precisions

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

ival-add: 7.0ms (56.1% of total)

ival-div: 4.0ms (32% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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

7.9MiB live, 7.9MiB 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)))
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

localize17.0ms (0.5%)

Memory

-2.4MiB live, 35.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y #s(literal 500 binary64))
✓	accuracy	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 3.0ms (57.3% of total)

ival-div: 2.0ms (38.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

-34.8MiB live, 7.5MiB 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))

simplify282.0ms (7.5%)

Memory

8.3MiB live, 268.6MiB 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 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)

rewrite344.0ms (9.2%)

Memory

-7.8MiB live, 500.5MiB allocated

Algorithm

1×	batch-egg-rewrite

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

eval28.0ms (0.8%)

Memory: -8.8MiB live, 42.8MiB allocated
Compiler: Compiled 3 812 to 415 computations (89.1% saved)

prune28.0ms (0.7%)

Memory

5.4MiB live, 44.6MiB 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)
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	45.1%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 29 to 20 computations (31% saved)

simplify6.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y #s(literal 1/500 binary64) x)
✓	cost-diff	0	(fma.f64 y #s(literal 1/500 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal 1/500 binary64) y)
✓	cost-diff	0	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Rules

24×	`lower-*.f32`
22×	`lower-*.f64`
12×	`lower-fma.f32`
10×	`lower-fma.f64`
10×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	43
0	17	42
1	24	42
2	35	42
3	43	42
4	44	38
5	46	38
0	46	38

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize144.0ms (3.9%)

Memory

12.3MiB live, 91.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	accuracy	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
✓	accuracy	99.8%	(*.f64 #s(literal 1/500 binary64) y)
✓	accuracy	45.2%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Samples

33.0ms

256×

valid

Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions

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

const: 12.0ms (51.3% of total)

ival-div: 5.0ms (21.4% of total)

ival-mult: 3.0ms (12.8% of total)

ival-add: 2.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

-29.3MiB live, 12.6MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/500 binary64) y) (patch (.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<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 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/250000 (/ (pow y 2) x)) (* 1/500 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/125000000 (/ (pow y 3) x)) (* 1/250000 (pow y 2))) x)) (* 1/500 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<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

27 calls:

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

simplify398.0ms (10.7%)

Memory

37.0MiB live, 587.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 898×	`lower-fma.f64`
15 898×	`lower-fma.f32`
4 020×	`lower-*.f64`
4 020×	`lower-*.f32`
2 768×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	704
1	459	698
2	1166	676
3	3516	650
4	7810	650
0	8340	560

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 99

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)
(* -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)))
(/ 1 x)
(+ (* -1/500 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* 1/250000 (/ y (pow x 3))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/125000000 (/ y (pow x 4))) (* 1/250000 (/ 1 (pow x 3))))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x))
(/ 500 y)
(/ (+ 500 (* -250000 (/ x y))) y)
(/ (- (+ 500 (* 125000000 (/ (pow x 2) (pow y 2)))) (* 250000 (/ x y))) y)
(/ (- (+ 500 (* -62500000000 (/ (pow x 3) (pow y 3)))) (+ (* -125000000 (/ (pow x 2) (pow y 2))) (* 250000 (/ x y)))) y)
(/ 500 y)
(* -1 (/ (- (* 250000 (/ x y)) 500) y))
(* -1 (/ (- (* -1 (/ (- (* 125000000 (/ (pow x 2) y)) (* 250000 x)) y)) 500) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 62500000000 (/ (pow x 3) y)) (* 125000000 (pow x 2))) y)) (* 250000 x)) y)) 500) y))
(/ 500 y)
(+ (* -250000 (/ x (pow y 2))) (* 500 (/ 1 y)))
(+ (* x (- (* 125000000 (/ x (pow y 3))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y)))
(+ (* x (- (* x (+ (* -62500000000 (/ x (pow y 4))) (* 125000000 (/ 1 (pow y 3))))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y)))
(/ 1 x)
(/ (+ 1 (* -1/500 (/ y x))) x)
(/ (- (+ 1 (* 1/250000 (/ (pow y 2) (pow x 2)))) (* 1/500 (/ y x))) x)
(/ (- (+ 1 (* -1/125000000 (/ (pow y 3) (pow x 3)))) (+ (* -1/250000 (/ (pow y 2) (pow x 2))) (* 1/500 (/ y x)))) x)
(/ 1 x)
(* -1 (/ (- (* 1/500 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/250000 (/ (pow y 2) x)) (* 1/500 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/125000000 (/ (pow y 3) x)) (* 1/250000 (pow y 2))) x)) (* 1/500 y)) x)) 1) x))
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 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/500 (/ y (pow x 2))) (/ 1 x))
(/.f64 (fma.f64 y (/.f64 #s(literal -1/500 binary64) x) #s(literal 1 binary64)) x)
(+ (* y (- (* 1/250000 (/ y (pow x 3))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 1/250000 binary64) #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(+ (* y (- (* y (+ (* -1/125000000 (/ y (pow x 4))) (* 1/250000 (/ 1 (pow x 3))))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 y (/.f64 (.f64 y (.f64 y #s(literal -1/125000000 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 1/250000 binary64) #s(literal -1/500 binary64)) #s(literal 1 binary64)) x))
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ (+ 500 (* -250000 (/ x y))) y)
(/.f64 (fma.f64 x (/.f64 #s(literal -250000 binary64) y) #s(literal 500 binary64)) y)
(/ (- (+ 500 (* 125000000 (/ (pow x 2) (pow y 2)))) (* 250000 (/ x y))) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 #s(literal 125000000 binary64) (/.f64 x y) #s(literal -250000 binary64)) #s(literal 500 binary64)) y)
(/ (- (+ 500 (* -62500000000 (/ (pow x 3) (pow y 3)))) (+ (* -125000000 (/ (pow x 2) (pow y 2))) (* 250000 (/ x y)))) y)
(/.f64 (-.f64 #s(literal 500 binary64) (/.f64 (fma.f64 x #s(literal 250000 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 x y) #s(literal 62500000000 binary64) #s(literal -125000000 binary64))) y)) y)) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(* -1 (/ (- (* 250000 (/ x y)) 500) y))
(/.f64 (fma.f64 x (/.f64 #s(literal -250000 binary64) y) #s(literal 500 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* 125000000 (/ (pow x 2) y)) (* 250000 x)) y)) 500) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 #s(literal 125000000 binary64) (/.f64 x y) #s(literal -250000 binary64)) #s(literal 500 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 62500000000 (/ (pow x 3) y)) (* 125000000 (pow x 2))) y)) (* 250000 x)) y)) 500) y))
(/.f64 (-.f64 #s(literal 500 binary64) (/.f64 (fma.f64 x #s(literal 250000 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 x y) #s(literal 62500000000 binary64) #s(literal -125000000 binary64))) y)) y)) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(+ (* -250000 (/ x (pow y 2))) (* 500 (/ 1 y)))
(/.f64 (fma.f64 x (/.f64 #s(literal -250000 binary64) y) #s(literal 500 binary64)) y)
(+ (* x (- (* 125000000 (/ x (pow y 3))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 #s(literal 125000000 binary64) (/.f64 x y) #s(literal -250000 binary64)) #s(literal 500 binary64)) y)
(+ (* x (- (* x (+ (* -62500000000 (/ x (pow y 4))) (* 125000000 (/ 1 (pow y 3))))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y)))
(fma.f64 x (/.f64 (.f64 (.f64 x x) #s(literal -62500000000 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 x y) (fma.f64 #s(literal 125000000 binary64) (/.f64 x y) #s(literal -250000 binary64)) #s(literal 500 binary64)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/500 (/ y x))) x)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/500 binary64) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* 1/250000 (/ (pow y 2) (pow x 2)))) (* 1/500 (/ y x))) x)
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 1/250000 binary64) #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1/125000000 (/ (pow y 3) (pow x 3)))) (+ (* -1/250000 (/ (pow y 2) (pow x 2))) (* 1/500 (/ y x)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/500 binary64) y (/.f64 (.f64 (.f64 y y) (fma.f64 (/.f64 y x) #s(literal 1/125000000 binary64) #s(literal -1/250000 binary64))) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/500 (/ y x)) 1) x))
(/.f64 (fma.f64 y (/.f64 #s(literal -1/500 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/250000 (/ (pow y 2) x)) (* 1/500 y)) x)) 1) x))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 1/250000 binary64) #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/125000000 (/ (pow y 3) x)) (* 1/250000 (pow y 2))) x)) (* 1/500 y)) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/500 binary64) y (/.f64 (.f64 (.f64 y y) (fma.f64 (/.f64 y x) #s(literal 1/125000000 binary64) #s(literal -1/250000 binary64))) x)) x)) x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)

rewrite544.0ms (14.6%)

Memory

12.2MiB live, 430.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 418×	`lower-fma.f32`
4 416×	`lower-fma.f64`
3 200×	`lower-*.f32`
3 198×	`lower-*.f64`
2 426×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
0	17	25
1	71	25
2	457	25
3	7227	25
0	8878	25

Stop Event

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

Counts

5 → 450

Calls

Call 1

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

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

eval90.0ms (2.4%)

Memory: -3.2MiB live, 200.0MiB allocated
Compiler: Compiled 16 980 to 1 077 computations (93.7% saved)

prune78.0ms (2.1%)

Memory

3.3MiB live, 165.9MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	731	1	732
Fresh	0	0	0
Picked	0	3	3
Done	1	0	1
Total	732	4	736

Accuracy

100.0%

Counts

736 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
▶	45.2%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	45.1%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 28 to 19 computations (32.1% saved)

simplify5.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.5%)

Memory

-11.9MiB live, 25.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y #s(literal 500 binary64))
✓	accuracy	45.2%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions

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

ival-div: 2.0ms (54.6% of total)

ival-add: 1.0ms (27.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

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

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

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

Calls

9 calls:

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

simplify273.0ms (7.3%)

Memory

8.0MiB live, 204.5MiB 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 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)

rewrite213.0ms (5.7%)

Memory

-24.1MiB live, 357.4MiB allocated

Algorithm

1×	batch-egg-rewrite

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

Stop Event

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

Counts

2 → 41

Calls

Call 1

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

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

eval9.0ms (0.3%)

Memory: -17.0MiB live, 19.8MiB allocated
Compiler: Compiled 462 to 94 computations (79.7% saved)

prune9.0ms (0.2%)

Memory

28.2MiB live, 28.2MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	74	4	78

Accuracy

100.0%

Counts

78 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
✓	45.2%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	45.1%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 55 to 30 computations (45.5% saved)

regimes11.0ms (0.3%)

Memory

-14.3MiB live, 24.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(/.f64 y #s(literal 500 binary64))
2.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
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)

regimes10.0ms (0.3%)

Memory

-24.3MiB live, 20.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
2.0ms	y
2.0ms	(/.f64 y #s(literal 500 binary64))
2.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))

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)

regimes6.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	(+.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
45.1%	1	`x`
45.1%	1	`y`
45.1%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
45.1%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB 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 #s(literal 1/500 binary64) y))

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

soundness396.0ms (10.6%)

Memory

10.7MiB live, 126.9MiB 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)

preprocess79.0ms (2.1%)

Memory: -32.6MiB live, 83.3MiB allocated
Compiler: Compiled 44 to 26 computations (40.9% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

sample545.0ms (14.6%)

preprocess120.0ms (3.2%)

explain54.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize17.0ms (0.5%)

series7.0ms (0.2%)

simplify282.0ms (7.5%)

rewrite344.0ms (9.2%)

eval28.0ms (0.8%)

prune28.0ms (0.7%)

simplify6.0ms (0.2%)

localize144.0ms (3.9%)

series7.0ms (0.2%)

simplify398.0ms (10.7%)

rewrite544.0ms (14.6%)

eval90.0ms (2.4%)

prune78.0ms (2.1%)

simplify5.0ms (0.1%)

localize18.0ms (0.5%)

series1.0ms (0%)

simplify273.0ms (7.3%)

rewrite213.0ms (5.7%)

eval9.0ms (0.3%)

prune9.0ms (0.2%)

regimes11.0ms (0.3%)

regimes10.0ms (0.3%)

regimes6.0ms (0.1%)

simplify6.0ms (0.2%)

soundness396.0ms (10.6%)

preprocess79.0ms (2.1%)

end0.0ms (0%)

Profiling