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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample814.0ms (12.9%)

Memory

36.6MiB live, 1 446.1MiB allocated

Samples

439.0ms	7 646×	0	valid
39.0ms	195×	2	valid
38.0ms	362×	1	valid
12.0ms	53×	3	valid

Precisions

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

ival-add: 217.0ms (84.2% of total)

adjust: 29.0ms (11.3% of total)

ival-assert: 6.0ms (2.3% of total)

ival-true: 6.0ms (2.3% of total)

Bogosity

explain97.0ms (1.5%)

Memory

37.1MiB live, 188.7MiB 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

24.0ms	468×	0	valid
12.0ms	18×	2	valid
2.0ms	20×	1	valid
1.0ms	6×	3	valid

Compiler

Compiled 135 to 36 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 13.0ms (53.8% of total)

adjust: 11.0ms (45.5% of total)

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

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

preprocess336.0ms (5.3%)

Memory

-4.8MiB live, 64.4MiB 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)
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) z) x)

Compiler

Compiled 14 to 8 computations (42.9% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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)
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) z) x)
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+.f64 (+.f64 (+.f64 x y) y) x)
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+.f64 (+.f64 x y) y)
(fma.f64 #s(literal 2 binary64) y x)
(+.f64 x y)
(+.f64 y x)
x
y
z

localize60.0ms (0.9%)

Memory

-6.8MiB live, 74.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0.015625	(+.f64 (+.f64 x y) y)
accuracy	0.01953125	(+.f64 (+.f64 (+.f64 x y) y) x)
accuracy	0.07421875	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Samples

16.0ms	234×	0	valid
2.0ms	9×	2	valid
1.0ms	10×	1	valid
1.0ms	3×	3	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 (80.4% of total)

adjust: 1.0ms (11.5% of total)

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

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

series11.0ms (0.2%)

Memory

-24.4MiB live, 13.0MiB allocated

Counts

5 → 144

Calls

Call 1

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

Outputs
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 x)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (* 2 x))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ x y))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ x y))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ x y))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify140.0ms (2.2%)

Memory

18.1MiB live, 136.6MiB 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	2786	762
4	6677	762
0	8202	658

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 131

Calls

Call 1

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

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

rewrite429.0ms (6.8%)

Memory

-28.3MiB live, 220.4MiB allocated

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

eval166.0ms (2.6%)

Memory: 28.9MiB live, 146.0MiB allocated
Compiler: Compiled 26 246 to 2 464 computations (90.6% saved)

prune186.0ms (3%)

Memory

-23.5MiB live, 177.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	716	8	724
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	717	8	725

Accuracy

100.0%

Counts

725 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.8%	(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 y x) (+.f64 z x)))
▶	37.2%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
	67.3%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
▶	99.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)))
	63.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
▶	69.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
	31.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
▶	37.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 166 to 100 computations (39.8% saved)

simplify228.0ms (3.6%)

Memory

1.3MiB live, 156.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

17 144×	`lower-fma.f32`
17 138×	`lower-fma.f64`
2 774×	`lower-*.f32`
2 768×	`lower-*.f64`
1 834×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	164
0	40	151
1	79	141
2	189	141
3	484	135
4	1986	135
5	3676	135
0	8296	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 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
y
#s(literal 2 binary64)
(fma.f64 #s(literal 3 binary64) x z)
#s(literal 3 binary64)
x
z
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
(fma.f64 #s(literal 3 binary64) x z)
#s(literal 3 binary64)
x
z
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
x
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 y x) (+.f64 z x)))
(*.f64 (+.f64 y x) (-.f64 x y))
(+.f64 y x)
y
x
(-.f64 x y)
(/.f64 #s(literal 1 binary64) (-.f64 x y))
#s(literal 1 binary64)
(+.f64 (+.f64 y x) (+.f64 z x))
(+.f64 z x)
z

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

localize163.0ms (2.6%)

Memory

-3.8MiB live, 204.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (+.f64 y x) (-.f64 x y))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (-.f64 x y))
accuracy	0.015625	(+.f64 (+.f64 y x) (+.f64 z x))
accuracy	25.084610606546118	(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 y x) (+.f64 z x)))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.07421875	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
accuracy	43.84346635283482	#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(fma.f64 #s(literal 3 binary64) x z)
accuracy	19.52397961406662	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	39.9280387101876	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
accuracy	0	(fma.f64 #s(literal 3 binary64) x z)
accuracy	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)))
accuracy	0.03515625	(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))

Samples

45.0ms	24×	1	valid
30.0ms	214×	0	valid
5.0ms	11×	2	valid
4.0ms	6×	3	valid
1.0ms	1×	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 (48.3% of total)

ival-mult: 6.0ms (20.7% of total)

adjust: 4.0ms (13.8% of total)

ival-div: 2.0ms (6.9% of total)

ival-sub: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.7%)

Memory

10.7MiB live, 51.1MiB allocated

Counts

15 → 432

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) (+ (* 3 x) z)) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* (* (+ y x) (- x y)) (/ 1 (- x y))) (+ (+ y x) (+ z x))) (* (+ y x) (- x y)) (+ y x) (- x y) (+ (+ y x) (+ z x)) (/ 1 (- x y)))
2.0ms	x	@	inf	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) (+ (* 3 x) z)) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* (* (+ y x) (- x y)) (/ 1 (- x y))) (+ (+ y x) (+ z x))) (* (+ y x) (- x y)) (+ y x) (- x y) (+ (+ y x) (+ z x)) (/ 1 (- x y)))
2.0ms	y	@	inf	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) (+ (* 3 x) z)) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* (* (+ y x) (- x y)) (/ 1 (- x y))) (+ (+ y x) (+ z x))) (* (+ y x) (- x y)) (+ y x) (- x y) (+ (+ y x) (+ z x)) (/ 1 (- x y)))
1.0ms	y	@	-inf	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) (+ (* 3 x) z)) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* (* (+ y x) (- x y)) (/ 1 (- x y))) (+ (+ y x) (+ z x))) (* (+ y x) (- x y)) (+ y x) (- x y) (+ (+ y x) (+ z x)) (/ 1 (- x y)))
1.0ms	y	@	0	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) (+ (* 3 x) z)) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* (* (+ y x) (- x y)) (/ 1 (- x y))) (+ (+ y x) (+ z x))) (* (+ y x) (- x y)) (+ y x) (- x y) (+ (+ y x) (+ z x)) (/ 1 (- x y)))

simplify179.0ms (2.8%)

Memory

23.9MiB live, 254.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 206×	`lower-fma.f64`
13 206×	`lower-fma.f32`
4 702×	`lower-*.f64`
4 702×	`lower-*.f32`
4 640×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	3935
1	942	3727
2	2629	3525
0	8829	3150

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 402

Calls

Call 1

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

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

rewrite244.0ms (3.9%)

Memory

-53.9MiB live, 378.9MiB allocated

Rules

7 328×	`lower-fma.f32`
7 322×	`lower-fma.f64`
5 202×	`lower-/.f32`
5 200×	`lower-/.f64`
4 648×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	140
0	40	139
1	224	119
2	2706	119
0	10653	113

Stop Event

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

Counts

15 → 686

Calls

Call 1

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

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

eval175.0ms (2.8%)

Memory: 38.1MiB live, 461.5MiB allocated
Compiler: Compiled 37 334 to 2 710 computations (92.7% saved)

prune194.0ms (3.1%)

Memory

-7.4MiB live, 516.5MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 327	3	1 330
Fresh	0	3	3
Picked	3	2	5
Done	0	0	0
Total	1 330	8	1 338

Accuracy

100.0%

Counts

1 338 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.2%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
▶	67.3%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
	67.3%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) #s(approx (+ (* 3 x) z) (*.f64 #s(literal 3 binary64) x))))
▶	63.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
▶	100.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))
✓	69.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
▶	31.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
✓	37.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 129 to 80 computations (38% saved)

simplify10.0ms (0.2%)

Memory

-20.1MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

270×	`lower-+.f32`
262×	`lower-+.f64`
250×	`associate-+r+`
136×	`associate-+l+`
104×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	146
0	33	143
1	60	127
2	126	127
3	254	123
4	302	123
5	304	123
0	304	121

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

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

localize53.0ms (0.8%)

Memory

11.2MiB live, 135.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.0859375	(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
accuracy	20.845455670574342	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
accuracy	0	(+.f64 y y)
accuracy	0.07421875	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
accuracy	43.84346635283482	#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
accuracy	0	(fma.f64 y #s(literal 2 binary64) z)
accuracy	23.40625441980697	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	43.8507711399654	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))
accuracy	0	(+.f64 z (+.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))))

Samples

30.0ms	227×	0	valid
5.0ms	11×	2	valid
3.0ms	12×	1	valid
3.0ms	6×	3	valid

Compiler

Compiled 118 to 21 computations (82.2% saved)

Precisions

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

ival-add: 15.0ms (57.9% of total)

ival-mult: 8.0ms (30.9% of total)

adjust: 3.0ms (11.6% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

11.1MiB live, 49.3MiB allocated

Counts

13 → 372

Calls

Call 1

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

Outputs
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 3 x)) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) (patch (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) (patch (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) (patch (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) (patch (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 z) (#s(alt (+.f64 z (+.f64 y y)) (patch (+.f64 z (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (+.f64 z (+.f64 y y)) (patch (+.f64 z (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (+.f64 z (+.f64 y y)) (patch (+.f64 z (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (+.f64 z (+.f64 y y)) (patch (+.f64 z (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) (patch (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z))))) (taylor inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) (patch (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z))))) (taylor inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) (patch (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z))))) (taylor inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) (patch (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 z (+.f64 y y)) (patch (+.f64 z (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt (+.f64 z (+.f64 y y)) (patch (+.f64 z (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt (+.f64 z (+.f64 y y)) (patch (+.f64 z (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt (+.f64 z (+.f64 y y)) (patch (+.f64 z (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) (patch (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* 2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) (patch (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* 2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) (patch (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* 2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) (patch (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) (patch (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) (patch (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) (patch (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) (patch (fma.f64 x #s(literal 3 binary64) (+.f64 z (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) (patch (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) (patch (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) (patch (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) (patch (fma.f64 (+.f64 y x) #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* x 3) (+ z (+ y y))) (+ z (+ y y)) (+ y y) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x))
1.0ms	y	@	inf	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* x 3) (+ z (+ y y))) (+ z (+ y y)) (+ y y) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x))
1.0ms	y	@	-inf	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* x 3) (+ z (+ y y))) (+ z (+ y y)) (+ y y) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x))
1.0ms	x	@	-inf	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* x 3) (+ z (+ y y))) (+ z (+ y y)) (+ y y) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x))
1.0ms	y	@	0	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* x 3) (+ z (+ y y))) (+ z (+ y y)) (+ y y) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x))

simplify149.0ms (2.4%)

Memory

-5.1MiB live, 276.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 104×	`lower-fma.f64`
11 104×	`lower-fma.f32`
3 228×	`lower-*.f64`
3 228×	`lower-*.f32`
1 664×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	2354
1	422	2342
2	1108	2342
3	3349	2342
4	7286	2342
0	8103	1917

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 346

Calls

Call 1

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

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

rewrite317.0ms (5%)

Memory

8.0MiB live, 366.7MiB allocated

Rules

12 110×	`lower-fma.f32`
12 104×	`lower-fma.f64`
4 038×	`lower-/.f64`
4 038×	`lower-/.f32`
3 498×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	129
0	33	126
1	185	110
2	2074	110
0	8924	108

Stop Event

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

Counts

13 → 545

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

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

eval176.0ms (2.8%)

Memory: -0.5MiB live, 267.3MiB allocated
Compiler: Compiled 15 372 to 1 196 computations (92.2% saved)

prune124.0ms (2%)

Memory

19.1MiB live, 295.0MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	999	2	1 001
Fresh	1	0	1
Picked	1	4	5
Done	0	2	2
Total	1 001	8	1 009

Accuracy

100.0%

Counts

1 009 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.2%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
✓	67.3%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
✓	63.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
✓	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) #s(approx (+ z (+ y y)) (*.f64 y #s(literal 2 binary64)))))
✓	69.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
▶	31.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓	37.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 72 to 44 computations (38.9% saved)

simplify19.0ms (0.3%)

Memory

-43.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

290×	`lower-+.f32`
288×	`lower-+.f64`
202×	`associate-+r+`
120×	`associate-+l+`
116×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
0	22	71
1	41	67
2	87	67
3	172	67
4	230	67
5	242	67
6	248	67
0	248	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.6%)

Memory

0.9MiB live, 77.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 y #s(literal 2 binary64))))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 y #s(literal 2 binary64)))))
accuracy	33.53936071279256	#s(approx (+ z (+ y y)) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(+.f64 y y)
accuracy	43.8507711399654	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

Samples

22.0ms	234×	0	valid
2.0ms	9×	2	valid
2.0ms	10×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 10.0ms (55% of total)

ival-mult: 6.0ms (33% of total)

adjust: 2.0ms (11% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

6 → 156

Calls

Call 1

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

Outputs
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 3 x)) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 z) (#s(alt #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z))))) (taylor inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z))))) (taylor inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z))))) (taylor inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1))) (taylor -inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1))) (taylor -inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1))) (taylor -inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -2 (/ y z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -2 (/ y z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -2 (/ y z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (* 2 x))) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) (patch (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* x 3) (+ z (+ y y))) (+ z (+ y y)))
1.0ms	y	@	inf	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* x 3) (+ z (+ y y))) (+ z (+ y y)))
0.0ms	z	@	-inf	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* x 3) (+ z (+ y y))) (+ z (+ y y)))
0.0ms	x	@	-inf	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* x 3) (+ z (+ y y))) (+ z (+ y y)))
0.0ms	y	@	0	((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* x 3) (+ z (+ y y))) (+ z (+ y y)))

simplify153.0ms (2.4%)

Memory

-3.5MiB live, 155.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 212×	`lower-fma.f64`
11 212×	`lower-fma.f32`
2 686×	`lower-*.f64`
2 686×	`lower-*.f32`
1 408×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1002
1	259	996
2	695	996
3	1782	996
4	4307	996
0	8349	807

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 147

Calls

Call 1

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

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

rewrite165.0ms (2.6%)

Memory

-3.0MiB live, 312.3MiB allocated

Rules

5 890×	`lower-fma.f32`
5 888×	`lower-fma.f64`
5 156×	`lower-*.f32`
5 154×	`lower-*.f64`
4 012×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
0	22	66
1	123	62
2	1301	62
0	8481	57

Stop Event

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

Counts

6 → 224

Calls

Call 1

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

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

eval100.0ms (1.6%)

Memory: -20.0MiB live, 106.3MiB allocated
Compiler: Compiled 5 110 to 381 computations (92.5% saved)

prune42.0ms (0.7%)

Memory

29.3MiB live, 106.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	370	1	371
Fresh	0	0	0
Picked	1	1	2
Done	1	5	6
Total	372	7	379

Accuracy

100.0%

Counts

379 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.2%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
✓	63.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
✓	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) #s(approx (+ z (+ y y)) (+.f64 y y))))
✓	69.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
✓	31.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓	37.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 178 to 69 computations (61.2% saved)

regimes37.0ms (0.6%)

Memory

-11.3MiB live, 34.0MiB allocated

Counts

15 → 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 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) 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 (+.f64 y x) #s(literal 2 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 y #s(literal 2 binary64)))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) #s(approx (+ (* 3 x) z) (*.f64 #s(literal 3 binary64) x))))
#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 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 y x) (+.f64 z x)))

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

Calls

4 calls:

21.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
5.0ms	z
5.0ms	x
5.0ms	y

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)

regimes46.0ms (0.7%)

Memory

-3.2MiB live, 35.8MiB 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 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) 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 (+.f64 y x) #s(literal 2 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) #s(approx (+ z (+ y y)) (*.f64 y #s(literal 2 binary64)))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) #s(approx (+ (* 3 x) z) (*.f64 #s(literal 3 binary64) x))))

Outputs

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

#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 3 binary64) x z))

Calls

4 calls:

33.0ms	y
4.0ms	x
4.0ms	z
4.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Results

Accuracy	Segments	Branch
89.7%	3	`x`
88.8%	3	`y`
90.2%	3	`z`
77.1%	4	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes12.0ms (0.2%)

Memory

-13.5MiB live, 24.0MiB 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 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)

Outputs

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

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

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

Calls

3 calls:

5.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
88.8%	3	`y`
88.1%	3	`x`
76.3%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

4 → 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 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
73.4%	3	`x`
83.8%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB 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 3 binary64) x))

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

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#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	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
56.2%	3	`x`
43.9%	4	`z`
43.4%	4	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
56.2%	3	`y`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes8.0ms (0.1%)

Memory

-25.8MiB live, 11.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
1.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
31.5%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
31.5%	1	`z`
31.5%	1	`x`
31.5%	1	`y`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch25.0ms (0.4%)

Memory

-7.3MiB live, 34.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.7406865219407408e+39	2.967894898193117e+40
10.0ms	-1.175215620947869e+92	-1.5198185022690454e+89

Samples

12.0ms	221×	0	valid
2.0ms	16×	1	valid
0.0ms	3×	2	valid

Compiler

Compiled 332 to 209 computations (37% saved)

Precisions

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

ival-add: 8.0ms (87.1% of total)

adjust: 1.0ms (10.9% of total)

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

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

bsearch30.0ms (0.5%)

Memory

8.4MiB live, 46.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.16731507211919e+80	1.5401804590648256e+91
12.0ms	-4.716653947475803e+25	-9.378352873348483e+19

Samples

14.0ms	279×	0	valid
2.0ms	20×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 359 to 242 computations (32.6% saved)

Precisions

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

ival-add: 7.0ms (85.2% of total)

adjust: 1.0ms (12.2% of total)

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

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

bsearch24.0ms (0.4%)

Memory

1.5MiB live, 38.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.4886317057143026e+112	4.931144634462583e+114
11.0ms	-3.495401672094088e+131	-2.947107457274564e+127

Samples

10.0ms	226×	0	valid
3.0ms	14×	1	valid

Compiler

Compiled 272 to 179 computations (34.2% saved)

Precisions

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

ival-add: 7.0ms (90.1% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch26.0ms (0.4%)

Memory

18.6MiB live, 56.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.049122506294317e+104	2.4886317057143026e+112
11.0ms	-6.291476888392419e+57	-1.2151914483753284e+54

Samples

13.0ms	254×	0	valid
2.0ms	16×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 289 to 201 computations (30.4% saved)

Precisions

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

ival-add: 6.0ms (84.7% of total)

adjust: 1.0ms (14.1% of total)

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

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

simplify7.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	262
1	52	262

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))))
(if (<=.f64 z #s(literal -195000000000000005337614254826203204515670493053336899441728333479449450887482622670274560 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 z #s(literal 16199999999999999597528259536920351080448 binary64)) #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 3 binary64) x z))))
(if (<=.f64 y #s(literal -7000000000000000419430400 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 y #s(literal 1399999999999999908329595187598160697543277421008853480659534304268933388560588865536 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))))
(if (<=.f64 y #s(literal -81999999999999996544677508112872206017344658827773009374802826064858615452814227386564203420579974477806710929173299539981893632 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 529999999999999967235539458935953220877729981912761959314051578380608721034121652543823521666676586827517259677696 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))))
(if (<=.f64 y #s(literal -345000000000000000128274452831565511988755316351021613056 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 42000000000000002992401281771003947241813226926344145691491816358629801900930300102459986106233395077544148992 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))))
#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 x #s(literal 3 binary64) (+.f64 (+.f64 y y) z)))
(if (<=.f64 z #s(literal -195000000000000005337614254826203204515670493053336899441728333479449450887482622670274560 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 z #s(literal 16199999999999999597528259536920351080448 binary64)) #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 3 binary64) x z))))
(if (<=.f64 y #s(literal -7000000000000000419430400 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 y #s(literal 1399999999999999908329595187598160697543277421008853480659534304268933388560588865536 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))))
(if (<=.f64 y #s(literal -81999999999999996544677508112872206017344658827773009374802826064858615452814227386564203420579974477806710929173299539981893632 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 529999999999999967235539458935953220877729981912761959314051578380608721034121652543823521666676586827517259677696 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))))
(if (<=.f64 y #s(literal -345000000000000000128274452831565511988755316351021613056 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 42000000000000002992401281771003947241813226926344145691491816358629801900930300102459986106233395077544148992 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

soundness1.1s (18.1%)

Memory

-14.1MiB live, 724.3MiB allocated

Rules

12 110×	`lower-fma.f32`
12 104×	`lower-fma.f64`
11 104×	`lower-fma.f64`
11 104×	`lower-fma.f32`
10 710×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
0	22	66
1	123	62
2	1301	62
0	8481	57
0	136	2354
1	422	2342
2	1108	2342
3	3349	2342
4	7286	2342
0	8103	1917
0	113	764
1	343	762
2	900	762
3	2786	762
4	6677	762
0	8202	658
0	23	129
0	33	126
1	185	110
2	2074	110
0	8924	108
0	27	140
0	40	139
1	224	119
2	2706	119
0	10653	113

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

Compiler

Compiled 242 to 134 computations (44.6% saved)

preprocess87.0ms (1.4%)

Memory: 2.1MiB live, 136.0MiB allocated
Compiler: Compiled 240 to 88 computations (63.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample814.0ms (12.9%)

explain97.0ms (1.5%)

preprocess336.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize60.0ms (0.9%)

series11.0ms (0.2%)

simplify140.0ms (2.2%)

rewrite429.0ms (6.8%)

eval166.0ms (2.6%)

prune186.0ms (3%)

simplify228.0ms (3.6%)

localize163.0ms (2.6%)

series45.0ms (0.7%)

simplify179.0ms (2.8%)

rewrite244.0ms (3.9%)

eval175.0ms (2.8%)

prune194.0ms (3.1%)

simplify10.0ms (0.2%)

localize53.0ms (0.8%)

series20.0ms (0.3%)

simplify149.0ms (2.4%)

rewrite317.0ms (5%)

eval176.0ms (2.8%)

prune124.0ms (2%)

simplify19.0ms (0.3%)

localize37.0ms (0.6%)

series8.0ms (0.1%)

simplify153.0ms (2.4%)

rewrite165.0ms (2.6%)

eval100.0ms (1.6%)

prune42.0ms (0.7%)

regimes37.0ms (0.6%)

regimes46.0ms (0.7%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch25.0ms (0.4%)

bsearch30.0ms (0.5%)

bsearch24.0ms (0.4%)

bsearch26.0ms (0.4%)

simplify7.0ms (0.1%)

soundness1.1s (18.1%)

preprocess87.0ms (1.4%)

end0.0ms (0%)

Profiling