Metrics for Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 13 to 10 computations (23.1% saved)

sample927.0ms (11.8%)

Memory

23.8MiB live, 1 295.5MiB allocated

Samples

387.0ms	7 644×	0	valid
62.0ms	345×	1	valid
46.0ms	190×	2	valid
16.0ms	77×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-add: 221.0ms (85.8% of total)

adjust: 28.0ms (10.9% of total)

ival-true: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess336.0ms (4.3%)

Memory

-19.4MiB live, 64.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 046×	`unsub-neg`
1 306×	`distribute-neg-in`
1 088×	`associate-+r+`
876×	`sub-neg`
792×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	139	83
2	547	81
3	2356	81
4	4279	81
5	5574	81
6	5954	81
7	6069	81
8	6080	81
9	6080	81
10	6693	81
11	6916	81
12	6934	81
13	6934	81
14	6944	81
15	6954	81
16	6954	81
17	6958	81
18	7718	81
19	7718	81
0	8	11
0	13	11
1	26	9
2	71	9
3	163	9
4	266	9
5	273	9
0	273	7

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(fma.f64 x #s(literal 3 binary64) (+.f64 y (+.f64 y z)))

explain398.0ms (5.1%)

Memory

1.0MiB live, 239.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (+.f64 x y) y) x)`
-	-	`y`
-	-	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
-	-	`(+.f64 (+.f64 x y) y)`
-	-	`(+.f64 x y)`
-	-	`z`
-	-	`(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)`
-	-	`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

52.0ms	8×	3	valid
25.0ms	472×	0	valid
3.0ms	16×	2	valid
2.0ms	16×	1	valid

Compiler

Compiled 108 to 36 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-add: 63.0ms (96.1% of total)

adjust: 2.0ms (3% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify68.0ms (0.9%)

Memory

-19.3MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (+.f64 x y) y)
✓	cost-diff	0	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
✓	cost-diff	64	(+.f64 (+.f64 (+.f64 x y) y) x)
✓	cost-diff	128	(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)

Rules

266×	`lower-+.f32`
256×	`lower-+.f64`
242×	`associate-+r+`
132×	`associate-+l+`
104×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
0	13	38
1	26	32
2	71	32
3	163	32
4	266	32
5	273	32
0	273	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
(+.f64 (+.f64 (+.f64 x y) y) x)
(+.f64 (+.f64 x y) y)
(+.f64 x y)
x
y
z

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(fma.f64 x #s(literal 3 binary64) (+.f64 y (+.f64 y z)))
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
(fma.f64 (+.f64 x y) #s(literal 2 binary64) z)
(+.f64 (+.f64 (+.f64 x y) y) x)
(*.f64 (+.f64 x y) #s(literal 2 binary64))
(+.f64 (+.f64 x y) y)
(+.f64 x (+.f64 y y))
(+.f64 x y)
x
y
z

localize26.0ms (0.3%)

Memory

4.1MiB live, 81.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 x y) y) x)
✓	accuracy	100.0%	(+.f64 (+.f64 x y) y)
✓	accuracy	99.9%	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Samples

12.0ms	236×	0	valid
2.0ms	8×	2	valid
2.0ms	4×	3	valid
1.0ms	8×	1	valid

Compiler

Compiled 40 to 10 computations (75% saved)

Precisions

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

ival-add: 7.0ms (74.1% of total)

adjust: 2.0ms (21.2% of total)

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

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

series5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

5 → 144

Calls

Call 1

Inputs
#<alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)>
#<alt (+.f64 (+.f64 (+.f64 x y) y) x)>
#<alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)>
#<alt (+.f64 (+.f64 x y) y)>
#<alt (+.f64 x y)>

Outputs
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (+ z (* 2 x))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))>
#<alt (* 2 y)>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* 2 x)>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* 2 y)>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (+ (+ (+ x y) y) x) z)
0.0ms	x	@	0	(+ (+ (+ (+ x y) y) x) z)
0.0ms	y	@	0	(+ (+ (+ (+ x y) y) x) z)
0.0ms	y	@	inf	(+ (+ (+ (+ x y) y) x) z)
0.0ms	x	@	0	(+ (+ (+ (+ (+ x y) y) x) z) x)

simplify245.0ms (3.1%)

Memory

5.8MiB live, 521.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 710×	`lower-fma.f64`
10 710×	`lower-fma.f32`
2 766×	`lower-*.f64`
2 766×	`lower-*.f32`
1 564×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	764
1	343	762
2	900	762
3	2801	762
4	6719	762
0	8258	658

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 131

Calls

Call 1

Inputs
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(+ z (* 2 x))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(+ (* 2 x) (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* 2 y)
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(* 2 x)
(* x (+ 2 (* 2 (/ y x))))
(* x (+ 2 (* 2 (/ y x))))
(* x (+ 2 (* 2 (/ y x))))
(* 2 x)
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* 2 x)
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (* 2 (/ x y))))
(* 2 y)
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* 2 y)
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
x
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
x
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
(* 2 y)
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (* 2 x))
(fma.f64 #s(literal 2 binary64) x z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ y x))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* x (+ 2 (* 2 (/ y x))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* x (+ 2 (* 2 (/ y x))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* y (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* y (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ x (+ z (* 2 x)))
(fma.f64 x #s(literal 3 binary64) z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
x
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
x
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite317.0ms (4%)

Memory

5.1MiB live, 719.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 184×	`lower-fma.f64`
5 184×	`lower-fma.f32`
4 742×	`lower-*.f64`
4 742×	`lower-*.f32`
4 214×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	35
0	13	35
1	81	29
2	878	29
0	8130	26

Stop Event

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

Counts

5 → 593

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
(+.f64 (+.f64 (+.f64 x y) y) x)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (+.f64 x y) y)
(+.f64 x y)

Outputs
(+.f64 x (fma.f64 #s(literal 2 binary64) y (+.f64 x z)))
(+.f64 x (+.f64 (fma.f64 #s(literal 2 binary64) y x) z))
(+.f64 y (+.f64 (+.f64 x y) (+.f64 x z)))
(+.f64 (+.f64 x y) (+.f64 y (+.f64 x z)))
(+.f64 (+.f64 x y) (+.f64 (+.f64 x y) z))
(+.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x z))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)
(+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 (+.f64 x z) (fma.f64 #s(literal 2 binary64) y x))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z))))
(+.f64 (+.f64 z (+.f64 x y)) (+.f64 x y))
(+.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) x)
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z)) (/.f64 (.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x z))) (/.f64 (.f64 (+.f64 x z) (+.f64 x z)) (-.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x z))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))) (+.f64 y (+.f64 x z)))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))) (+.f64 (+.f64 x y) z))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 x y)))) (+.f64 y (+.f64 x z)))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 x y)))) (+.f64 (+.f64 x y) z))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)))) z)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))) z)
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z))))
(fma.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (.f64 y (-.f64 y (+.f64 x y))))) (+.f64 x z))
(fma.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (+.f64 x y))))) (+.f64 x z))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 y (+.f64 x z)))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) z))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) y x) x)) z)
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y y))) (+.f64 x z))
(fma.f64 #s(literal 2 binary64) (+.f64 x y) z)
(fma.f64 (fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x x (.f64 y (-.f64 y x))))) z)
(fma.f64 (fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 x y) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 x y))) z)
(fma.f64 (fma.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (-.f64 x y) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (fma.f64 x x (.f64 y (-.f64 y x))))) z)
(fma.f64 (fma.f64 (.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y) (.f64 (-.f64 x y) (.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (-.f64 x y))) z)
(fma.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x))))) (+.f64 y (+.f64 x z)))
(fma.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x))))) (+.f64 (+.f64 x y) z))
(fma.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) (+.f64 y (+.f64 x z)))
(fma.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) (+.f64 (+.f64 x y) z))
(fma.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x))))) z)
(fma.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (fma.f64 #s(literal 2 binary64) y x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y x) x))) z)
(fma.f64 (neg.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (.f64 y (-.f64 y (+.f64 x y)))))) (+.f64 x z))
(fma.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (-.f64 y y)))) (+.f64 x z))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 z z) (*.f64 x z)))) (fma.f64 #s(literal 2 binary64) y x))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (.f64 x x) (*.f64 z x)))) (fma.f64 #s(literal 2 binary64) y x))
(fma.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (-.f64 (.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (+.f64 x y))))) z)
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(+.f64 x (+.f64 y y))
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(+.f64 (+.f64 x y) y)
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(fma.f64 (-.f64 (.f64 y y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 y y)) x)
(fma.f64 #s(literal 1 binary64) (+.f64 x y) y)
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(/.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (.f64 y y))) (fma.f64 y y (-.f64 (.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y))) (+.f64 x (-.f64 y y)))
(/.f64 (neg.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (.f64 y (-.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 y y (-.f64 (.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y)))) (neg.f64 (+.f64 x (-.f64 y y))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (fma.f64 x x (-.f64 (.f64 (+.f64 y y) (+.f64 y y)) (.f64 x (+.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (+.f64 x y)))) (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 (+.f64 y y) (+.f64 y y)) (.f64 x (+.f64 y y)))) (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (+.f64 y y)) (-.f64 (.f64 x x) (.f64 (+.f64 y y) (+.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (+.f64 x y)) (-.f64 (.f64 y y) (.f64 (+.f64 x y) (+.f64 x y)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 y y) (+.f64 y y))) (-.f64 x (+.f64 y y)))
(/.f64 (-.f64 (.f64 y y) (.f64 (+.f64 x y) (+.f64 x y))) (-.f64 y (+.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (-.f64 y y))) (.f64 (+.f64 x (-.f64 y y)) (.f64 y y))) (*.f64 (+.f64 x (-.f64 y y)) (+.f64 x (-.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (.f64 y (-.f64 y (+.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y))))) (neg.f64 (neg.f64 (+.f64 x (-.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (+.f64 y y) (+.f64 y y)) (.f64 x (+.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (+.f64 y y) (+.f64 y y)))) (neg.f64 (-.f64 x (+.f64 y y))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 (+.f64 x y) (+.f64 x y)))) (neg.f64 (-.f64 y (+.f64 x y))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (fma.f64 (+.f64 y y) (+.f64 y y) (-.f64 (.f64 x x) (.f64 (+.f64 y y) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (-.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 x (-.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (-.f64 y y))) (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (-.f64 y y))) (fma.f64 (/.f64 (.f64 y y) (+.f64 x (-.f64 y y))) (/.f64 (.f64 y y) (+.f64 x (-.f64 y y))) (.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (-.f64 y y))) (/.f64 (*.f64 y y) (+.f64 x (-.f64 y y)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal -1 binary64))
(.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 y (-.f64 y (+.f64 x y))))))
(.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (+.f64 x y))))))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y y))))
(.f64 (neg.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 y (-.f64 y (+.f64 x y)))))))
(.f64 (neg.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (-.f64 y y)))))
(.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 (+.f64 y y) (+.f64 y y)) (*.f64 x (+.f64 y y))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))
(.f64 (-.f64 (.f64 x x) (*.f64 (+.f64 y y) (+.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 y y))))
(.f64 (-.f64 (.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 y (+.f64 x y))))
(+.f64 x y)
(+.f64 y x)
(+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 y y (-.f64 (.f64 x x) (*.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (.f64 y y) (.f64 x x))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 x x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (.f64 x x) (.f64 x y)))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))))
(.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))

eval112.0ms (1.4%)

Memory: -8.4MiB live, 235.0MiB allocated
Compiler: Compiled 26 246 to 2 456 computations (90.6% saved)

prune97.0ms (1.2%)

Memory

-6.3MiB live, 236.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	715	9	724
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	716	9	725

Accuracy

100.0%

Counts

725 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.4%	(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) (+.f64 x z)))
	38.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))) (-.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)))
▶	39.4%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
	67.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
	64.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
▶	99.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))
▶	68.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
	32.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
▶	34.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 224 to 122 computations (45.5% saved)

simplify364.0ms (4.6%)

Memory

7.2MiB live, 479.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) (-.f64 x y))
✓	cost-diff	1792	(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) (+.f64 x z)))
✓	cost-diff	0	#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) y z)
✓	cost-diff	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
✓	cost-diff	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(fma.f64 x #s(literal 3 binary64) z)
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
✓	cost-diff	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))

Rules

17 144×	`lower-fma.f32`
17 136×	`lower-fma.f64`
2 774×	`lower-*.f32`
2 770×	`lower-*.f64`
1 834×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	164
0	41	159
1	80	145
2	188	145
3	474	135
4	1979	135
5	3679	135
0	8309	132

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
#s(literal 2 binary64)
y
(fma.f64 x #s(literal 3 binary64) z)
x
#s(literal 3 binary64)
z
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 #s(literal 2 binary64) y z)
#s(literal 2 binary64)
y
z
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
x
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) (+.f64 x z)))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
x
y
(-.f64 x y)
(/.f64 #s(literal 1 binary64) (-.f64 x y))
#s(literal 1 binary64)
(+.f64 (+.f64 x y) (+.f64 x z))
(+.f64 x z)
z

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))
#s(literal 2 binary64)
y
(fma.f64 x #s(literal 3 binary64) z)
x
#s(literal 3 binary64)
z
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 y y)
#s(literal 2 binary64)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y (+.f64 y z)))
(fma.f64 #s(literal 2 binary64) y z)
(+.f64 y (+.f64 y z))
#s(literal 2 binary64)
y
z
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
(+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)))
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 y y)
#s(literal 2 binary64)
y
x
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) (+.f64 x z)))
(+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
x
y
(-.f64 x y)
(/.f64 #s(literal 1 binary64) (-.f64 x y))
#s(literal 1 binary64)
(+.f64 (+.f64 x y) (+.f64 x z))
(fma.f64 x #s(literal 2 binary64) (+.f64 y z))
(+.f64 x z)
z

localize89.0ms (1.1%)

Memory

-5.8MiB live, 113.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
✓	accuracy	100.0%	(+.f64 (+.f64 x y) (+.f64 x z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 x y))
✓	accuracy	56.4%	(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) (+.f64 x z)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	99.9%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
✓	accuracy	34.4%	#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y))
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) y z)
✓	accuracy	68.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	34.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) z)
✓	accuracy	100.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))
✓	accuracy	99.9%	(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))

Samples

33.0ms	226×	0	valid
4.0ms	10×	2	valid
4.0ms	6×	3	valid
4.0ms	12×	1	valid
1.0ms	2×	4	valid

Compiler

Compiled 146 to 25 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 14.0ms (48.7% of total)

ival-mult: 6.0ms (20.9% of total)

adjust: 4.0ms (13.9% of total)

ival-div: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

15 → 444

Calls

Call 1

Inputs
#<alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))>
#<alt (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))>
#<alt (fma.f64 x #s(literal 3 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))>
#<alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))>
#<alt (fma.f64 #s(literal 2 binary64) y z)>
#<alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)>
#<alt #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y))>
#<alt (fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) (+.f64 x z)))>
#<alt (*.f64 (+.f64 x y) (-.f64 x y))>
#<alt (+.f64 x y)>
#<alt (-.f64 x y)>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x y))>
#<alt (+.f64 (+.f64 x y) (+.f64 x z))>

Outputs
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (+ z (* 3 x))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))>
#<alt z>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* 3 x)>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt z>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt z>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* 2 y)>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt z>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (+ z (* 2 x))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (pow x 2)>
#<alt (+ (* y (+ x (* -1 x))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (/ -1 y)>
#<alt (- (* -1 (/ x (pow y 2))) (/ 1 y))>
#<alt (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ y x)) x)>
#<alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)>
#<alt (/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ y x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ y (pow x 2)))>
#<alt (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))>
#<alt (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ -1 y)>
#<alt (/ (- (* -1 (/ x y)) 1) y)>
#<alt (/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)>
#<alt (/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (/ x y)) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))>
#<alt (+ y z)>
#<alt (+ y (+ z (* 2 x)))>
#<alt (+ y (+ z (* 2 x)))>
#<alt (+ y (+ z (* 2 x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (+ (/ y x) (/ z x))))>
#<alt (* x (+ 2 (+ (/ y x) (/ z x))))>
#<alt (* x (+ 2 (+ (/ y x) (/ z x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 2)))>
#<alt (+ z (* 2 x))>
#<alt (+ y (+ z (* 2 x)))>
#<alt (+ y (+ z (* 2 x)))>
#<alt (+ y (+ z (* 2 x)))>
#<alt y>
#<alt (* y (+ 1 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 1 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 1 (+ (* 2 (/ x y)) (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 1)))>
#<alt (+ y (* 2 x))>
#<alt (+ y (+ z (* 2 x)))>
#<alt (+ y (+ z (* 2 x)))>
#<alt (+ y (+ z (* 2 x)))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (/ y z))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (/ y z))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ y (* 2 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ y (* 2 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ y (* 2 x)) z)) 1)))>

Calls

111 calls:

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

simplify323.0ms (4.1%)

Memory

-1.8MiB live, 599.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 162×	`lower-fma.f64`
9 162×	`lower-fma.f32`
4 768×	`lower-+.f64`
4 768×	`lower-+.f32`
3 642×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	319	4076
1	982	3844
2	2735	3657
0	8249	3294

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 411

Calls

Call 1

Inputs
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ z (* 3 x))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 2 y)
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ (* 2 y) (* 3 x))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
z
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
z
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
(* 3 x)
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* 3 x)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* 3 x)
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
z
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (* 3 (/ x z))))
z
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
z
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
(* 2 y)
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* 2 y)
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
z
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
z
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(+ z (* 2 x))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(+ (* 2 x) (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(/ -1 y)
(- (* -1 (/ x (pow y 2))) (/ 1 y))
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (/ y x)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))
(/ 1 x)
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ -1 y)
(/ (- (* -1 (/ x y)) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (/ x y)) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))
(+ y z)
(+ y (+ z (* 2 x)))
(+ y (+ z (* 2 x)))
(+ y (+ z (* 2 x)))
(* 2 x)
(* x (+ 2 (+ (/ y x) (/ z x))))
(* x (+ 2 (+ (/ y x) (/ z x))))
(* x (+ 2 (+ (/ y x) (/ z x))))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 2)))
(+ z (* 2 x))
(+ y (+ z (* 2 x)))
(+ y (+ z (* 2 x)))
(+ y (+ z (* 2 x)))
y
(* y (+ 1 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 1 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 1 (+ (* 2 (/ x y)) (/ z y))))
y
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 1)))
(+ y (* 2 x))
(+ y (+ z (* 2 x)))
(+ y (+ z (* 2 x)))
(+ y (+ z (* 2 x)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (/ y z))))
(* z (+ 1 (+ (* 2 (/ x z)) (/ y z))))
(* z (+ 1 (+ (* 2 (/ x z)) (/ y z))))
z
(* -1 (* z (- (* -1 (/ (+ y (* 2 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ y (* 2 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ y (* 2 x)) z)) 1)))

Outputs
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 z x))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y)))
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 z (fma.f64 (/.f64 #s(literal 2 binary64) z) (+.f64 y x) (/.f64 x z)) z)
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 z (fma.f64 (/.f64 #s(literal 2 binary64) z) (+.f64 y x) (/.f64 x z)) z)
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 z (fma.f64 (/.f64 #s(literal 2 binary64) z) (+.f64 y x) (/.f64 x z)) z)
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z))))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z))))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z))))
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y)))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y)))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y)))
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 z x))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
z
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(fma.f64 z (fma.f64 (/.f64 #s(literal 2 binary64) z) (+.f64 y x) (/.f64 x z)) z)
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(fma.f64 z (fma.f64 (/.f64 #s(literal 2 binary64) z) (+.f64 y x) (/.f64 x z)) z)
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(fma.f64 z (fma.f64 (/.f64 #s(literal 2 binary64) z) (+.f64 y x) (/.f64 x z)) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z))))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z))))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z))))
z
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ z x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 z x)))
(* x (+ 3 (/ z x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 z x)))
(* x (+ 3 (/ z x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 z x)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(*.f64 (-.f64 #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(*.f64 (-.f64 #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(*.f64 (-.f64 #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
z
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 z (/.f64 (*.f64 #s(literal 3 binary64) x) z) z)
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 z (/.f64 (*.f64 #s(literal 3 binary64) x) z) z)
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 z (/.f64 (*.f64 #s(literal 3 binary64) x) z) z)
z
(* -1 (* z (- (* -3 (/ x z)) 1)))
(neg.f64 (*.f64 z (fma.f64 (/.f64 x z) #s(literal -3 binary64) #s(literal -1 binary64))))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(neg.f64 (*.f64 z (fma.f64 (/.f64 x z) #s(literal -3 binary64) #s(literal -1 binary64))))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(neg.f64 (*.f64 z (fma.f64 (/.f64 x z) #s(literal -3 binary64) #s(literal -1 binary64))))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 z x))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
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(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y)))
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 z (fma.f64 (/.f64 #s(literal 2 binary64) z) (+.f64 y x) (/.f64 x z)) z)
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 z (fma.f64 (/.f64 #s(literal 2 binary64) z) (+.f64 y x) (/.f64 x z)) z)
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 z (fma.f64 (/.f64 #s(literal 2 binary64) z) (+.f64 y x) (/.f64 x z)) z)
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z))))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z))))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z))))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(*.f64 y (neg.f64 y))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(*.f64 (+.f64 y x) (-.f64 x y))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(*.f64 (+.f64 y x) (-.f64 x y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(.f64 (.f64 x x) (fma.f64 y (/.f64 y (*.f64 x (neg.f64 x))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(.f64 (.f64 x x) (fma.f64 y (/.f64 y (*.f64 x (neg.f64 x))) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(.f64 (.f64 x x) (fma.f64 y (/.f64 y (*.f64 x (neg.f64 x))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(.f64 (.f64 x x) (fma.f64 y (/.f64 y (*.f64 x (neg.f64 x))) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(*.f64 (+.f64 y x) (-.f64 x y))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(*.f64 (+.f64 y x) (-.f64 x y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(.f64 y (.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(.f64 y (.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(.f64 y (.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(.f64 y (.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* -1 (/ x (pow y 2))) (/ 1 y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y)) y)
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 x (.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ y x)) x)
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)
(/.f64 (fma.f64 y (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))
(/.f64 (fma.f64 y (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) y)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ y (pow x 2)))
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))
(fma.f64 y (/.f64 y (.f64 x (.f64 x x))) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 y (fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 y (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (* -1 (/ x y)) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y)) y)
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)
(/.f64 (-.f64 (fma.f64 (.f64 x x) (/.f64 x (.f64 y (*.f64 y (neg.f64 y)))) #s(literal -1 binary64)) (/.f64 (fma.f64 x (/.f64 x y) x) y)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ x y)) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 x (fma.f64 x (/.f64 x y) x)) y)) y)) y)
(+ y z)
(+.f64 z y)
(+ y (+ z (* 2 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) x y))
(+ y (+ z (* 2 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) x y))
(+ y (+ z (* 2 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) x y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (+ (/ y x) (/ z x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 #s(literal 2 binary64) (/.f64 z x))))
(* x (+ 2 (+ (/ y x) (/ z x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 #s(literal 2 binary64) (/.f64 z x))))
(* x (+ 2 (+ (/ y x) (/ z x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 #s(literal 2 binary64) (/.f64 z x))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 2)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 z y) x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 2)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 z y) x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 2)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 z y) x)))
(+ z (* 2 x))
(fma.f64 #s(literal 2 binary64) x z)
(+ y (+ z (* 2 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) x y))
(+ y (+ z (* 2 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) x y))
(+ y (+ z (* 2 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) x y))
y
(* y (+ 1 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 z y)) y)
(* y (+ 1 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 z y)) y)
(* y (+ 1 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 z y)) y)
y
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x z) y)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x z) y)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x z) y)))
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (+ z (* 2 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) x y))
(+ y (+ z (* 2 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) x y))
(+ y (+ z (* 2 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) x y))
z
(* z (+ 1 (+ (* 2 (/ x z)) (/ y z))))
(fma.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 x z) (/.f64 y z)) z)
(* z (+ 1 (+ (* 2 (/ x z)) (/ y z))))
(fma.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 x z) (/.f64 y z)) z)
(* z (+ 1 (+ (* 2 (/ x z)) (/ y z))))
(fma.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 x z) (/.f64 y z)) z)
z
(* -1 (* z (- (* -1 (/ (+ y (* 2 x)) z)) 1)))
(neg.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x y) z))))
(* -1 (* z (- (* -1 (/ (+ y (* 2 x)) z)) 1)))
(neg.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x y) z))))
(* -1 (* z (- (* -1 (/ (+ y (* 2 x)) z)) 1)))
(neg.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x y) z))))

rewrite374.0ms (4.8%)

Memory

2.1MiB live, 550.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 938×	`lower-fma.f32`
6 930×	`lower-fma.f64`
4 518×	`lower-/.f32`
4 516×	`lower-/.f64`
4 200×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	141
0	41	132
1	217	120
2	2461	120
0	9630	114

Stop Event

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

Counts

15 → 609

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 x #s(literal 3 binary64) z)
(*.f64 #s(literal 2 binary64) y)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 #s(literal 2 binary64) y z)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) (+.f64 x z)))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)
(/.f64 #s(literal 1 binary64) (-.f64 x y))
(+.f64 (+.f64 x y) (+.f64 x z))

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 z (fma.f64 x #s(literal 3 binary64) (+.f64 y y))))
(+.f64 z (fma.f64 x #s(literal 3 binary64) (+.f64 y y)))
(+.f64 (fma.f64 x #s(literal 3 binary64) z) (+.f64 y y))
(+.f64 (+.f64 y y) (fma.f64 x #s(literal 3 binary64) z))
(+.f64 (+.f64 z (+.f64 y y)) (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 z (+.f64 y y)))
(+.f64 (fma.f64 x #s(literal 3 binary64) (+.f64 y y)) z)
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (+.f64 y y) (fma.f64 x #s(literal 3 binary64) z))) (/.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) z) (fma.f64 x #s(literal 3 binary64) z)) (-.f64 (+.f64 y y) (fma.f64 x #s(literal 3 binary64) z))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 3 binary64) z) (fma.f64 x #s(literal 3 binary64) z)) (-.f64 (fma.f64 x #s(literal 3 binary64) z) (+.f64 y y))) (/.f64 (.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal 3 binary64) z) (+.f64 y y))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 3 binary64) (+.f64 y y)) (fma.f64 x #s(literal 3 binary64) (+.f64 y y))) (-.f64 (fma.f64 x #s(literal 3 binary64) (+.f64 y y)) z)) (/.f64 (.f64 z z) (-.f64 (fma.f64 x #s(literal 3 binary64) (+.f64 y y)) z)))
(fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 3 binary64) x (+.f64 z (+.f64 y y)))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))) (+.f64 y y))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (+.f64 y y)) (.f64 (.f64 y y) #s(literal 4 binary64)))) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (+.f64 y y))
(fma.f64 (.f64 (+.f64 z (+.f64 y y)) (-.f64 (+.f64 y y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y y) z)) (.f64 x #s(literal 3 binary64)))
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(/.f64 (fma.f64 y (.f64 y y) (pow.f64 (+.f64 x (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 (+.f64 x (+.f64 x z)) (+.f64 x (+.f64 x z))) (*.f64 y (+.f64 x (+.f64 x z))))))
(/.f64 (fma.f64 z (.f64 z z) (.f64 (+.f64 x (+.f64 x y)) (.f64 (+.f64 x (+.f64 x y)) (+.f64 x (+.f64 x y))))) (fma.f64 z z (-.f64 (.f64 (+.f64 x (+.f64 x y)) (+.f64 x (+.f64 x y))) (*.f64 z (+.f64 x (+.f64 x y))))))
(/.f64 (fma.f64 (+.f64 y (+.f64 x z)) (.f64 (+.f64 y (+.f64 x z)) (+.f64 y (+.f64 x z))) (.f64 x (.f64 x x))) (fma.f64 (+.f64 y (+.f64 x z)) (+.f64 y (+.f64 x z)) (-.f64 (.f64 x x) (*.f64 (+.f64 y (+.f64 x z)) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 x z) x) #s(literal 3 binary64)) (.f64 y (.f64 y y))) (fma.f64 (+.f64 (+.f64 x z) x) (+.f64 (+.f64 x z) x) (-.f64 (.f64 y y) (.f64 (+.f64 (+.f64 x z) x) y))))
(pow.f64 (/.f64 (fma.f64 (+.f64 x z) (-.f64 (+.f64 x z) (+.f64 x y)) (.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (+.f64 x z) (.f64 (+.f64 x z) (+.f64 x z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (-.f64 (+.f64 x y) x) z) (*.f64 (+.f64 x (+.f64 y (+.f64 x z))) (-.f64 (-.f64 (+.f64 x y) x) z))) #s(literal -1 binary64))
(.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (+.f64 x z) (.f64 (+.f64 x z) (+.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (-.f64 (+.f64 x z) (+.f64 x y)) (*.f64 (+.f64 x y) (+.f64 x y)))))
(.f64 (.f64 (+.f64 x (+.f64 y (+.f64 x z))) (-.f64 (-.f64 (+.f64 x y) x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 x y) x) z)))

eval151.0ms (1.9%)

Memory: 34.3MiB live, 257.8MiB allocated
Compiler: Compiled 32 070 to 2 389 computations (92.6% saved)

prune369.0ms (4.7%)

Memory

-142.8MiB live, 241.4MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1 201	4	1 205
Fresh	1	3	4
Picked	4	1	5
Done	0	0	0
Total	1 206	8	1 214

Accuracy

100.0%

Counts

1 214 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.4%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
▶	100.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))
▶	67.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
	64.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
	64.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* x 3) z) (*.f64 #s(literal 3 binary64) x))))
✓	68.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
▶	34.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
▶	32.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))

Compiler

Compiled 136 to 83 computations (39% saved)

simplify55.0ms (0.7%)

Memory

-20.9MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 y y)
✓	cost-diff	#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
✓	cost-diff	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
✓	cost-diff	(fma.f64 x #s(literal 3 binary64) z)
✓	cost-diff	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
✓	cost-diff	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
✓	cost-diff	(+.f64 y y)
✓	cost-diff	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓	cost-diff	(+.f64 y y)
✓	cost-diff	(+.f64 z (+.f64 y y))
✓	cost-diff	(fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))
✓	cost-diff	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))

Rules

270×	`lower-+.f32`
264×	`lower-+.f64`
208×	`associate-+r+`
122×	`associate-+l+`
104×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	135
0	26	138
1	48	124
2	107	124
3	202	119
4	257	119
5	259	119
0	259	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))
(fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))
x
#s(literal 3 binary64)
(+.f64 z (+.f64 y y))
z
(+.f64 y y)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
(+.f64 y y)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 x #s(literal 3 binary64) z)
x
#s(literal 3 binary64)
z
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
(+.f64 y y)
y
x

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (fma.f64 y #s(literal 2 binary64) z)))
(fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))
(fma.f64 x #s(literal 3 binary64) (fma.f64 y #s(literal 2 binary64) z))
x
#s(literal 3 binary64)
(+.f64 z (+.f64 y y))
(fma.f64 y #s(literal 2 binary64) z)
z
(+.f64 y y)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
(+.f64 y y)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 x #s(literal 3 binary64) z)
x
#s(literal 3 binary64)
z
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)))
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
(+.f64 y y)
y
x

localize78.0ms (1%)

Memory

-4.5MiB live, 77.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	99.9%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
✓	accuracy	34.4%	#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) z)
✓	accuracy	67.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	32.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	34.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))
✓	accuracy	100.0%	(+.f64 z (+.f64 y y))
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))

Samples

22.0ms	229×	0	valid
3.0ms	10×	2	valid
3.0ms	7×	3	valid
2.0ms	10×	1	valid

Compiler

Compiled 109 to 16 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add: 11.0ms (69.1% of total)

adjust: 2.0ms (12.6% of total)

ival-mult: 2.0ms (12.6% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

11 → 324

Calls

Call 1

Inputs
#<alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))>
#<alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))>
#<alt (+.f64 z (+.f64 y y))>
#<alt (+.f64 y y)>
#<alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))>
#<alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))>
#<alt (fma.f64 x #s(literal 3 binary64) z)>
#<alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)>
#<alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))>

Outputs
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))>
#<alt (+ z (* 3 x))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))>
#<alt (* 2 y)>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt z>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt z>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt z>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* 3 x)>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt z>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (+ z (* 2 x))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))>

Calls

81 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x 3)
0.0ms	x	@	-inf	(* x 3)
0.0ms	y	@	inf	(+ y y)
0.0ms	x	@	0	(* x 3)
0.0ms	y	@	inf	(+ (* x 3) (+ z (+ y y)))

simplify310.0ms (3.9%)

Memory

-4.6MiB live, 343.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 556×	`lower-fma.f64`
13 556×	`lower-fma.f32`
2 914×	`lower-*.f64`
2 914×	`lower-*.f32`
1 290×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	2186
1	369	2138
2	983	2138
3	2499	2138
4	5527	2138
0	8154	1731

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 304

Calls

Call 1

Inputs
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ (* 2 y) (* 3 x))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
z
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(+ z (* 3 x))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 2 y)
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(* 2 y)
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
z
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
z
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
z
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
(* 2 y)
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
z
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
(* 3 x)
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* 3 x)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* 3 x)
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
z
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (* 3 (/ x z))))
z
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(+ z (* 2 x))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(+ (* 2 x) (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))

Outputs
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
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(* -1 (* x (- (* -1 (/ z x)) 3)))
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(* -1 (* x (- (* -1 (/ z x)) 3)))
(fma.f64 #s(literal 3 binary64) x z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
z
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 #s(literal 3 binary64) x z)
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 #s(literal 3 binary64) x z)
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 #s(literal 3 binary64) x z)
z
(* -1 (* z (- (* -3 (/ x z)) 1)))
(fma.f64 #s(literal 3 binary64) x z)
(* -1 (* z (- (* -3 (/ x z)) 1)))
(fma.f64 #s(literal 3 binary64) x z)
(* -1 (* z (- (* -3 (/ x z)) 1)))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (* 2 x))
(fma.f64 #s(literal 2 binary64) x z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)

rewrite450.0ms (5.7%)

Memory

18.1MiB live, 540.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 438×	`lower-*.f32`
5 436×	`lower-*.f64`
4 152×	`lower-/.f64`
4 152×	`lower-/.f32`
3 384×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	117
0	26	117
1	148	105
2	1603	105
0	8425	96

Stop Event

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

Counts

11 → 460

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))
(fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))
(+.f64 z (+.f64 y y))
(+.f64 y y)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 x #s(literal 3 binary64) z)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))
(+.f64 z (fma.f64 x #s(literal 3 binary64) (+.f64 y y)))
(+.f64 z (fma.f64 y #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(+.f64 (+.f64 y y) (fma.f64 x #s(literal 3 binary64) z))
(+.f64 (+.f64 z (+.f64 y y)) (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 z (+.f64 y y)))
(+.f64 (fma.f64 x #s(literal 3 binary64) z) (+.f64 y y))
(+.f64 (+.f64 y z) (+.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (fma.f64 x #s(literal 3 binary64) (+.f64 y y)) z)
(+.f64 (fma.f64 x #s(literal 3 binary64) (+.f64 y z)) y)
(+.f64 (+.f64 (fma.f64 x #s(literal 3 binary64) z) y) y)
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (+.f64 y y)))) (/.f64 (.f64 (+.f64 z (+.f64 y y)) (+.f64 z (+.f64 y y))) (-.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 z (+.f64 y y)))))
(fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 3 binary64) x (+.f64 z (+.f64 y y)))
(fma.f64 (+.f64 y y) (+.f64 y y) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))) (+.f64 y y))
(fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (fma.f64 z (.f64 z z) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z z (+.f64 y y)) (.f64 z (+.f64 y y)))) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (+.f64 y y))
(fma.f64 (-.f64 (.f64 z z) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 y y))) (.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 2 binary64) (*.f64 y (+.f64 y y)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y (+.f64 y y)) #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (+.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (+.f64 y y)) #s(literal 2 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (+.f64 y y)) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 y (.f64 y y)) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (.f64 y (.f64 y y)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (pow.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (pow.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 y (*.f64 y y)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (*.f64 y y)) (fma.f64 x #s(literal 3 binary64) z))
(fma.f64 (pow.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 y y) (fma.f64 x #s(literal 3 binary64) z))
(/.f64 (fma.f64 (+.f64 z (+.f64 y y)) (.f64 (+.f64 z (+.f64 y y)) (+.f64 z (+.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 (+.f64 z (+.f64 y y)) (-.f64 (+.f64 z (+.f64 y y)) (.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (fma.f64 (+.f64 z (+.f64 y y)) (.f64 (+.f64 z (+.f64 y y)) (+.f64 z (+.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 (+.f64 z (+.f64 y y)) (+.f64 z (+.f64 y y)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (.f64 #s(literal 3 binary64) (+.f64 z (+.f64 y y)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (+.f64 z (+.f64 y y)) (+.f64 z (+.f64 y y)))) (-.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (+.f64 y y))))
(/.f64 (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 z (.f64 z z))) (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) (.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 z (.f64 z z))) #s(literal 0 binary64) (.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 0 binary64))) (.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 0 binary64)))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (fma.f64 y y #s(literal 0 binary64)) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) #s(literal 0 binary64) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) #s(literal 0 binary64))) (.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (+.f64 z (+.f64 y y)) (.f64 (+.f64 z (+.f64 y y)) (+.f64 z (+.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (+.f64 z (+.f64 y y)) (-.f64 (+.f64 z (+.f64 y y)) (.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 z (+.f64 y y)) (.f64 (+.f64 z (+.f64 y y)) (+.f64 z (+.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (+.f64 z (+.f64 y y)) (+.f64 z (+.f64 y y)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (.f64 #s(literal 3 binary64) (+.f64 z (+.f64 y y))))))))
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(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (+.f64 y y))) #s(literal 0 binary64))
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(pow.f64 (+.f64 y y) #s(literal 2 binary64))
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(pow.f64 (+.f64 y y) #s(literal 9/2 binary64))
(pow.f64 (+.f64 y y) #s(literal 5 binary64))
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(*.f64 y #s(literal 2 binary64))
(*.f64 (+.f64 y y) (+.f64 y y))
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(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) y)
(.f64 #s(literal 2 binary64) (.f64 y (+.f64 y y)))
(.f64 #s(literal 8 binary64) (.f64 y (*.f64 y y)))
(.f64 #s(literal 8 binary64) (pow.f64 (.f64 y (+.f64 y y)) #s(literal 3 binary64)))
(.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (+.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)))
(.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(.f64 #s(literal 4 binary64) (.f64 y y))
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 y (+.f64 y y)) #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 y (+.f64 y y)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 y (*.f64 y y)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (.f64 y (*.f64 y y)))
(.f64 (pow.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y)))))
(.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))
(.f64 (pow.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 y (.f64 y y)))
(.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y)))
(.f64 (pow.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
(+.f64 z (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal 3 binary64)) z)
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 #s(literal 3 binary64) x z)
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 z (.f64 z z))) (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))
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(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z))
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(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 z (.f64 z z)))) (neg.f64 (fma.f64 z z (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (.f64 #s(literal 3 binary64) z))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z))) (neg.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 z (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z))))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 x x) #s(literal 9 binary64))) (-.f64 z (.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 z (*.f64 z z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 z z))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (-.f64 (.f64 x #s(literal 3 binary64)) z)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 z (.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)))) (neg.f64 (neg.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (.f64 (.f64 x x) #s(literal 9 binary64)))) (neg.f64 (-.f64 z (.f64 x #s(literal 3 binary64)))))
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 z (*.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(-.f64 (/.f64 (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)) (/.f64 (.f64 x x) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)))
(/.f64 (fma.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)))))
(/.f64 (fma.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (*.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))))))
(/.f64 (*.f64 (+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (*.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x))) (neg.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)))) (fma.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (*.f64 (+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)))) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)))) (fma.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (*.f64 (+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)) (.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (.f64 x x))) (*.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))))) (neg.f64 (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)))) (fma.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (*.f64 (+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))))))
(.f64 (.f64 (+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)))
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))

eval150.0ms (1.9%)

Memory: 17.0MiB live, 205.0MiB allocated
Compiler: Compiled 21 624 to 1 516 computations (93% saved)

prune118.0ms (1.5%)

Memory

-29.4MiB live, 259.6MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	953	1	954
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	955	7	962

Accuracy

100.0%

Counts

962 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.4%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
▶	64.7%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))))
✓	67.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
▶	64.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
✓	68.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
✓	34.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓	32.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))

Compiler

Compiled 60 to 37 computations (38.3% saved)

simplify12.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y)))
✓	cost-diff	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	cost-diff	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))

Rules

290×	`lower-+.f32`
288×	`lower-+.f64`
210×	`associate-+r+`
122×	`associate-+l+`
116×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	25	82
1	51	76
2	110	76
3	201	76
4	250	76
5	259	76
0	259	71

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
#s(literal 2 binary64)
(+.f64 y x)
y
x
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))))
(fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y)))
x
#s(literal 3 binary64)
#s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y (fma.f64 x #s(literal 3 binary64) y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+.f64 y (fma.f64 x #s(literal 3 binary64) y))
#s(literal 2 binary64)
(+.f64 y x)
(+.f64 x y)
y
x
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (+.f64 y y))))
(fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y)))
(fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (+.f64 y y)))
x
#s(literal 3 binary64)
#s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ z (+ y y)) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 y y)
#s(literal 2 binary64)
y

localize95.0ms (1.2%)

Memory

-17.1MiB live, 100.8MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))))
✓	accuracy	50.9%	#s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	99.9%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	accuracy	64.7%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))

Samples

68.0ms	230×	0	valid
3.0ms	7×	3	valid
3.0ms	8×	2	valid
2.0ms	11×	1	valid

Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 12.0ms (58.9% of total)

ival-mult: 5.0ms (24.5% of total)

adjust: 3.0ms (14.7% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

7 → 192

Calls

Call 1

Inputs
#<alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))>
#<alt (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)>
#<alt (+.f64 y x)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))))>
#<alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y)))>
#<alt #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))>

Outputs
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (+ x (* 2 x))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))>
#<alt (+ z (* 3 x))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))>
#<alt (* 2 y)>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt z>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt z>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>

Calls

48 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(+ (* 2 (+ y x)) x)
0.0ms	y	@	0	(+ (* 2 (+ y x)) x)
0.0ms	x	@	-inf	(+ (* 2 (+ y x)) x)
0.0ms	y	@	-inf	(+ (* 2 (+ y x)) x)
0.0ms	x	@	inf	(+ (* 2 (+ y x)) x)

simplify325.0ms (4.1%)

Memory

19.2MiB live, 381.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 608×	`lower-fma.f64`
11 608×	`lower-fma.f32`
3 180×	`lower-*.f64`
3 180×	`lower-*.f32`
1 316×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1170
1	352	1164
2	921	1164
3	2833	1164
4	6332	1164
0	8202	957

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 177

Calls

Call 1

Inputs
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ x (* 2 x))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* 2 y)
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(* 3 x)
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* 3 x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ (* 2 y) (* 3 x))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
z
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(+ z (* 3 x))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 2 y)
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(* 2 y)
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
z
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
z
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
z
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
(* 2 y)
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))

Outputs
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (* 2 x))
(*.f64 #s(literal 3 binary64) x)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
z
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
z
(* z (+ 1 (* 2 (/ y z))))
(fma.f64 #s(literal 2 binary64) y z)
(* z (+ 1 (* 2 (/ y z))))
(fma.f64 #s(literal 2 binary64) y z)
(* z (+ 1 (* 2 (/ y z))))
(fma.f64 #s(literal 2 binary64) y z)
z
(* -1 (* z (- (* -2 (/ y z)) 1)))
(fma.f64 #s(literal 2 binary64) y z)
(* -1 (* z (- (* -2 (/ y z)) 1)))
(fma.f64 #s(literal 2 binary64) y z)
(* -1 (* z (- (* -2 (/ y z)) 1)))
(fma.f64 #s(literal 2 binary64) y z)
z
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (/ z y)))
(fma.f64 #s(literal 2 binary64) y z)
(* y (+ 2 (/ z y)))
(fma.f64 #s(literal 2 binary64) y z)
(* y (+ 2 (/ z y)))
(fma.f64 #s(literal 2 binary64) y z)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(fma.f64 #s(literal 2 binary64) y z)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(fma.f64 #s(literal 2 binary64) y z)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(fma.f64 #s(literal 2 binary64) y z)

rewrite300.0ms (3.8%)

Memory

8.9MiB live, 510.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 724×	`lower-*.f32`
5 722×	`lower-*.f64`
4 488×	`lower-fma.f32`
4 484×	`lower-fma.f64`
3 644×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	75
0	25	75
1	153	69
2	1741	69
0	8132	66

Stop Event

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

Counts

7 → 225

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+.f64 y x)
(*.f64 #s(literal 2 binary64) y)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))))
(fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 x y) #s(literal 2 binary64) x))
(+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 (fma.f64 y #s(literal 2 binary64) x) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) x)
(+.f64 (+.f64 y y) (fma.f64 x #s(literal 2 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 x y) (+.f64 x y)) #s(literal 4 binary64)) (-.f64 (.f64 (+.f64 x y) #s(literal 2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) x)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 y (*.f64 #s(literal 2 binary64) (+.f64 y y)) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 (+.f64 x y) #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) (+.f64 x y) x)
(fma.f64 #s(literal 2 binary64) (*.f64 y (+.f64 y y)) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 (+.f64 y y) (+.f64 y y) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) x) (.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 y #s(literal 2 binary64) x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 y #s(literal 2 binary64) x)) (.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 y #s(literal 2 binary64) x)))) x)
(fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 (.f64 y (.f64 y y)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 (.f64 y (.f64 y y)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 (.f64 y y) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 2 binary64) x))
(fma.f64 (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (.f64 y (-.f64 y (+.f64 x y))))) (*.f64 x #s(literal 2 binary64)))
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(pow.f64 (+.f64 y y) #s(literal 3/2 binary64))
(pow.f64 (+.f64 y y) #s(literal 4 binary64))
(pow.f64 (+.f64 y y) #s(literal 9 binary64))
(pow.f64 (+.f64 y y) #s(literal -2 binary64))
(pow.f64 (+.f64 y y) #s(literal -1 binary64))
(pow.f64 (+.f64 y y) #s(literal 6 binary64))
(pow.f64 (+.f64 y y) #s(literal 9/2 binary64))
(pow.f64 (+.f64 y y) #s(literal 5 binary64))
(pow.f64 (+.f64 y y) #s(literal -3 binary64))
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) #s(literal -1 binary64))
(*.f64 y #s(literal 2 binary64))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 y y)))
(*.f64 #s(literal 2 binary64) y)
(.f64 #s(literal 2 binary64) (.f64 y (+.f64 y y)))
(*.f64 (+.f64 y y) (+.f64 y y))
(.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64))
(.f64 (.f64 y (.f64 y y)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) #s(literal 3 binary64)))
(.f64 (.f64 y (*.f64 y y)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)))
(.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (.f64 y y) #s(literal 4 binary64))
(.f64 (.f64 y y) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) #s(literal 2 binary64)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(.f64 #s(literal 8 binary64) (.f64 y (*.f64 y y)))
(.f64 #s(literal 8 binary64) (pow.f64 (.f64 y (+.f64 y y)) #s(literal 3 binary64)))
(.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (+.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)))
(.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64 binary64))
(.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64))
(.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y)))) #s(literal 512 binary64))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) #s(literal 3/2 binary64)))
(.f64 #s(literal 4 binary64) (.f64 y y))
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 y (+.f64 y y)) #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 y y) y) #s(literal 2 binary64))
(.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) y)
(.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))
(.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y)))
(.f64 (pow.f64 (.f64 (+.f64 y y) y) #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y y))
(.f64 #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y)))))
(.f64 (pow.f64 (.f64 (+.f64 y y) y) #s(literal 3 binary64)) #s(literal 8 binary64))
(.f64 (pow.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 y (.f64 y y)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 y (+.f64 y y)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 y (*.f64 y y)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 y (*.f64 y y)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (.f64 y (*.f64 y y)))
(.f64 (pow.f64 (.f64 (+.f64 y y) y) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (+.f64 y y))))
(+.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (+ z (+ y y)) (+.f64 y y)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ z (+ y y)) (+.f64 y y)))) (/.f64 (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))) (-.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (+ z (+ y y)) (+.f64 y y)))))
(fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (+.f64 y y)))
(fma.f64 #s(literal 3 binary64) x #s(approx (+ z (+ y y)) (+.f64 y y)))
(/.f64 (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (-.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y)))) (-.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ z (+ y y)) (+.f64 y y))))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (-.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))))) (neg.f64 (-.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ z (+ y y)) (+.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (-.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))) (.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ z (+ y y)) (+.f64 y y))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))))))
(/.f64 (-.f64 (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))) (.f64 (.f64 x x) #s(literal 9 binary64))) (-.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (-.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))) (.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ z (+ y y)) (+.f64 y y))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (-.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y)))))) (neg.f64 (neg.f64 (-.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ z (+ y y)) (+.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))) (.f64 (.f64 x x) #s(literal 9 binary64)))) (neg.f64 (-.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 x #s(literal 3 binary64)))))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (-.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))) (.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ z (+ y y)) (+.f64 y y))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (-.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(approx (+ z (+ y y)) (+.f64 y y)) #s(approx (+ z (+ y y)) (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (+ z (+ y y)) (+.f64 y y)))))
#s(approx (+ z (+ y y)) (+.f64 y y))

eval53.0ms (0.7%)

Memory: -24.2MiB live, 88.0MiB allocated
Compiler: Compiled 5 930 to 580 computations (90.2% saved)

prune40.0ms (0.5%)

Memory

-20.2MiB live, 102.0MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	401	1	402
Fresh	0	0	0
Picked	2	0	2
Done	0	5	5
Total	403	6	409

Accuracy

100.0%

Counts

409 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.4%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
	64.7%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (+.f64 y y))))
✓	67.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
✓	68.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
✓	34.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓	32.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))

Compiler

Compiled 192 to 69 computations (64.1% saved)

regimes115.0ms (1.5%)

Memory

-2.2MiB live, 36.3MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* x 3) z) (*.f64 #s(literal 3 binary64) x))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) (+.f64 x z)))
(/.f64 (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))) (-.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)))

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))

Calls

4 calls:

98.0ms	y
6.0ms	z
5.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes19.0ms (0.2%)

Memory

6.4MiB live, 44.6MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* x 3) z) (*.f64 #s(literal 3 binary64) x))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))

Calls

4 calls:

6.0ms	y
4.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes19.0ms (0.2%)

Memory

4.7MiB live, 42.6MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* x 3) z) (*.f64 #s(literal 3 binary64) x))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 #s(literal 2 binary64) y))))

Outputs

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (+.f64 y y))))

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))

Calls

4 calls:

5.0ms	y
4.0ms	z
4.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
4.0ms	x

Results

Accuracy	Segments	Branch
89.6%	3	`x`
90.7%	3	`y`
88.1%	3	`z`
79.0%	5	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes4.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))

Outputs

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
90.7%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-26.1MiB live, 14.0MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)

Outputs

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))

Calls

2 calls:

6.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
89.6%	3	`x`
88.4%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

15.8MiB live, 15.7MiB allocated

Counts

4 → 5

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
72.1%	3	`z`
72.1%	3	`y`
86.5%	5	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-16.3MiB live, 21.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))

Outputs

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))

Calls

4 calls:

2.0ms	y
2.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
53.5%	3	`y`
38.7%	3	`z`
44.4%	5	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
54.8%	3	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

Calls

4 calls:

2.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
34.4%	1	`z`
34.4%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
34.4%	1	`y`
34.4%	1	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch24.0ms (0.3%)

Memory

5.4MiB live, 43.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.3812851667715018e+36	1.3722503830422422e+42
7.0ms	-0.014215202539804265	-0.007023967667014191

Samples

9.0ms	206×	0	valid
4.0ms	12×	2	valid
1.0ms	6×	1	valid

Compiler

Compiled 284 to 187 computations (34.2% saved)

Precisions

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

ival-add: 7.0ms (82.9% of total)

adjust: 1.0ms (11.8% of total)

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

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

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.3812851667715018e+36	1.3722503830422422e+42
0.0ms	-0.014215202539804265	-0.007023967667014191

Compiler

Compiled 279 to 187 computations (33% saved)

bsearch23.0ms (0.3%)

Memory

4.3MiB live, 41.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.043130810879255e+45	5.884303222553348e+46
11.0ms	-4.0424157974871287e+65	-2.1033313022614567e+63

Samples

11.0ms	208×	0	valid
1.0ms	10×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 269 to 182 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 5.0ms (81.3% of total)

adjust: 1.0ms (16.3% of total)

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

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

bsearch70.0ms (0.9%)

Memory

19.5MiB live, 129.4MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.6774063589994138e+197	2.7198812815993842e+215
14.0ms	1.3876967765652423e+128	7.483557460709493e+132
11.0ms	3.04354780734655e+47	1.0578401417968555e+50
19.0ms	-2.4582504859278646e+173	-5.234974883132243e+167

Samples

30.0ms	478×	0	valid
6.0ms	7×	3	valid
5.0ms	47×	1	valid
4.0ms	28×	2	valid

Compiler

Compiled 612 to 434 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-add: 17.0ms (66.5% of total)

adjust: 7.0ms (27.4% of total)

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

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

bsearch45.0ms (0.6%)

Memory

-50.7MiB live, 47.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.04354780734655e+47	1.0578401417968555e+50
16.0ms	-2.1033313022614567e+63	-1.647114650641972e+29

Samples

13.0ms	260×	0	valid
1.0ms	10×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 321 to 223 computations (30.5% saved)

Precisions

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

ival-add: 7.0ms (86% of total)

adjust: 0.0ms (0% of total)

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

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

simplify9.0ms (0.1%)

Memory

17.5MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	378
1	65	378

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 y #s(literal -8070450532247929/576460752303423488 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (+.f64 y y)))) (if (<=.f64 y #s(literal 144999999999999994129027945467205184913408 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))))
(if (<=.f64 y #s(literal -8070450532247929/576460752303423488 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) (if (<=.f64 y #s(literal 144999999999999994129027945467205184913408 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))))
(if (<=.f64 x #s(literal -6400000000000000224140779900362315074949140339091956838711689216 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z)) (if (<=.f64 x #s(literal 9999999999999999931398190359470212947659194368 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))))
(if (<=.f64 x #s(literal -4700000000000000148361747323825931103558522205772788003643235620135666226520116591311172463219459907167493118835025449318626232710337861869483941284567545167576087960485888 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 104999999999999997626664616076826096398720561053696 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 x #s(literal 1149999999999999951775834087413247301497768081717526947674205383112736148189884013821227930090315158760150484918503898612399865856 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 170000000000000008292421994390969078957247182604810287940716855109497299286378624878343839767562369476458078417456527516809666750462549112155411812393800949441595567608202973257940234755932560556032 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))))))
(if (<=.f64 x #s(literal -34999999999999999824515341456769024 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 7800000000000000179738298922380975974567561396224 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 x #s(literal 3 binary64)))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 y #s(literal -8070450532247929/576460752303423488 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (+.f64 y y)))) (if (<=.f64 y #s(literal 144999999999999994129027945467205184913408 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))))
(if (<=.f64 y #s(literal -8070450532247929/576460752303423488 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) (if (<=.f64 y #s(literal 144999999999999994129027945467205184913408 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))))
(if (<=.f64 y #s(literal -8070450532247929/576460752303423488 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (if (<=.f64 y #s(literal 144999999999999994129027945467205184913408 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))))
(if (<=.f64 x #s(literal -6400000000000000224140779900362315074949140339091956838711689216 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z)) (if (<=.f64 x #s(literal 9999999999999999931398190359470212947659194368 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))))
(if (<=.f64 x #s(literal -4700000000000000148361747323825931103558522205772788003643235620135666226520116591311172463219459907167493118835025449318626232710337861869483941284567545167576087960485888 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 104999999999999997626664616076826096398720561053696 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 x #s(literal 1149999999999999951775834087413247301497768081717526947674205383112736148189884013821227930090315158760150484918503898612399865856 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 170000000000000008292421994390969078957247182604810287940716855109497299286378624878343839767562369476458078417456527516809666750462549112155411812393800949441595567608202973257940234755932560556032 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))))))
(if (<=.f64 x #s(literal -34999999999999999824515341456769024 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 7800000000000000179738298922380975974567561396224 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 x #s(literal 3 binary64)))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

soundness1.2s (15.5%)

Memory

18.4MiB live, 695.8MiB allocated

Rules

13 556×	`lower-fma.f64`
13 556×	`lower-fma.f32`
10 710×	`lower-fma.f64`
10 710×	`lower-fma.f32`
6 938×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	2186
1	369	2138
2	983	2138
3	2499	2138
4	5527	2138
0	8154	1731
0	113	764
1	343	762
2	900	762
3	2801	762
4	6719	762
0	8258	658
0	19	75
0	25	75
1	153	69
2	1741	69
0	8132	66
0	27	141
0	41	132
1	217	120
2	2461	120
0	9630	114

Stop Event

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

Compiler

Compiled 318 to 162 computations (49.1% saved)

preprocess66.0ms (0.8%)

Memory: -12.0MiB live, 103.3MiB allocated
Compiler: Compiled 340 to 108 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample927.0ms (11.8%)

preprocess336.0ms (4.3%)

explain398.0ms (5.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify68.0ms (0.9%)

localize26.0ms (0.3%)

series5.0ms (0.1%)

simplify245.0ms (3.1%)

rewrite317.0ms (4%)

eval112.0ms (1.4%)

prune97.0ms (1.2%)

simplify364.0ms (4.6%)

localize89.0ms (1.1%)

series14.0ms (0.2%)

simplify323.0ms (4.1%)

rewrite374.0ms (4.8%)

eval151.0ms (1.9%)

prune369.0ms (4.7%)

simplify55.0ms (0.7%)

localize78.0ms (1%)

series6.0ms (0.1%)

simplify310.0ms (3.9%)

rewrite450.0ms (5.7%)

eval150.0ms (1.9%)

prune118.0ms (1.5%)

simplify12.0ms (0.1%)

localize95.0ms (1.2%)

series4.0ms (0%)

simplify325.0ms (4.1%)

rewrite300.0ms (3.8%)

eval53.0ms (0.7%)

prune40.0ms (0.5%)

regimes115.0ms (1.5%)

regimes19.0ms (0.2%)

regimes19.0ms (0.2%)

regimes4.0ms (0%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch24.0ms (0.3%)

bsearch1.0ms (0%)

bsearch23.0ms (0.3%)

bsearch70.0ms (0.9%)

bsearch45.0ms (0.6%)

simplify9.0ms (0.1%)

soundness1.2s (15.5%)

preprocess66.0ms (0.8%)

end0.0ms (0%)

Profiling