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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.0s (15%)

Memory

-14.1MiB live, 1 186.0MiB allocated

Samples

593.0ms	7 605×	0	valid
70.0ms	395×	1	valid
40.0ms	194×	2	valid
13.0ms	62×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 518.0ms

ival-add: 476.0ms (91.9% of total)

adjust: 32.0ms (6.2% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain126.0ms (1.8%)

Memory

-12.7MiB live, 112.9MiB 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	462×	0	valid
8.0ms	10×	2	valid
4.0ms	34×	1	valid
1.0ms	6×	3	valid

Compiler

Compiled 94 to 28 computations (70.2% saved)

Precisions

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

ival-add: 19.0ms (89.4% of total)

adjust: 2.0ms (9.4% of total)

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

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

preprocess342.0ms (5%)

Memory

1.6MiB live, 39.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 023×	`unsub-neg`
653×	`distribute-neg-in`
544×	`associate-+r+`
438×	`sub-neg`
396×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify7.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB 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

133×	`lower-+.f32`
128×	`lower-+.f64`
121×	`associate-+r+`
66×	`associate-+l+`
52×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize298.0ms (4.4%)

Memory

11.6MiB live, 49.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0.0234375	(+.f64 (+.f64 (+.f64 x y) y) x)
accuracy	0.02734375	(+.f64 (+.f64 x y) y)
accuracy	0.07421875	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Samples

286.0ms	231×	0	valid
2.0ms	17×	1	valid
1.0ms	5×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 40 to 10 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

ival-add: 280.0ms (99.4% of total)

adjust: 1.0ms (0.4% of total)

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

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

series46.0ms (0.7%)

Memory

-24.7MiB live, 32.6MiB 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 (+ z (* 2 y)) (taylor 0 x) (#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 x) (#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 x) (#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 x) (#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 inf x) (#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 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#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)) (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 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 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) (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 (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) (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 (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) (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 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 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 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 (* 2 y) (taylor 0 x) (#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 x) (#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 x) (#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 x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<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 (* 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 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 x) (#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 y) (* 3 x))) (taylor 0 x) (#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 y) (* 3 x))) (taylor 0 x) (#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 y) (* 3 x))) (taylor 0 x) (#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 (* 3 x) (taylor inf x) (#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 (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (* 3 x) (taylor -inf x) (#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>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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))) (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>) () ())) ())
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#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>) () ())) ())
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#s(alt (* 2 y) (taylor 0 x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
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#s(alt (+ x (* 2 y)) (taylor 0 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 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#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 (* 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 (* 2 y) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x 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>) () ())) ())
#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 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>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0ms	x	@	inf	(+ (+ (+ (+ x y) y) x) z)
0.0ms	x	@	0	(+ (+ (+ (+ x y) y) x) z)
0.0ms	y	@	0	(+ (+ (+ (+ x y) y) x) z)
0.0ms	y	@	inf	(+ (+ (+ (+ x y) y) x) z)

simplify158.0ms (2.3%)

Memory

-0.7MiB live, 227.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 355×	`lower-fma.f64`
5 355×	`lower-fma.f32`
1 383×	`lower-*.f64`
1 383×	`lower-*.f32`
782×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 131

Calls

Call 1

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

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

rewrite271.0ms (4%)

Memory

49.0MiB live, 345.1MiB allocated

Rules

2 592×	`lower-fma.f64`
2 592×	`lower-fma.f32`
2 371×	`lower-*.f64`
2 371×	`lower-*.f32`
2 107×	`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 (fma.f64 z z (neg.f64 (.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)))))
(/.f64 (fma.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x) (.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))) (fma.f64 (+.f64 z x) (+.f64 z x) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)) (*.f64 (+.f64 z x) (fma.f64 #s(literal 2 binary64) y x)))))
(/.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (pow.f64 (+.f64 (+.f64 y x) z) #s(literal 3 binary64))) (fma.f64 (+.f64 y x) (+.f64 y x) (-.f64 (.f64 (+.f64 (+.f64 y x) z) (+.f64 (+.f64 y x) z)) (*.f64 (+.f64 y x) (+.f64 (+.f64 y x) z)))))
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eval130.0ms (1.9%)

Memory: -37.9MiB live, 246.8MiB allocated
Compiler: Compiled 26 273 to 2 463 computations (90.6% saved)

prune190.0ms (2.8%)

Memory

14.1MiB live, 243.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

100.0%

Counts

725 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 y x) (+.f64 z x)))
▶	99.9%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
▶	73.9%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
▶	40.9%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
	65.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 x y) #s(literal 2 binary64) x))
	69.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
▶	64.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
	36.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
▶	31.2%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 186 to 112 computations (39.8% saved)

simplify9.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

137×	`lower-+.f32`
133×	`lower-+.f64`
120×	`associate-+r+`
59×	`associate-+l+`
52×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	133
0	33	133
1	61	119
2	113	119
3	215	119
4	275	119
5	279	119
0	279	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize65.0ms (1%)

Memory

-15.2MiB live, 104.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y #s(literal 2 binary64) z)
accuracy	0.07421875	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
accuracy	19.40198087341496	#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z))
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	40.66828839514752	#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(fma.f64 #s(literal 3 binary64) x z)
accuracy	22.487081632265802	#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	44.03324669099642	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
accuracy	0	(+.f64 z x)
accuracy	0	(+.f64 y x)
accuracy	0.0703125	(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))

Samples

27.0ms	221×	0	valid
5.0ms	20×	1	valid
3.0ms	10×	2	valid
2.0ms	5×	3	valid

Compiler

Compiled 111 to 20 computations (82% saved)

Precisions

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

ival-add: 13.0ms (62.7% of total)

ival-mult: 5.0ms (24.1% of total)

adjust: 3.0ms (14.5% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

1.9MiB live, 39.4MiB allocated

Counts

13 → 372

Calls

Call 1

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

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

Calls

93 calls:

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

simplify150.0ms (2.2%)

Memory

-19.0MiB live, 194.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 030×	`lower-fma.f64`
5 030×	`lower-fma.f32`
1 485×	`lower-*.f64`
1 485×	`lower-*.f32`
739×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	2248
1	431	2202
2	1094	2202
3	3340	2202
4	7011	2202
0	8052	1823

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 340

Calls

Call 1

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

rewrite230.0ms (3.4%)

Memory

53.6MiB live, 310.4MiB allocated

Rules

2 660×	`lower-fma.f32`
2 657×	`lower-fma.f64`
1 923×	`lower-/.f64`
1 923×	`lower-/.f32`
1 725×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	117
0	33	117
1	184	103
2	1978	103
0	8529	99

Stop Event

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

Counts

13 → 257

Calls

Call 1

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

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

eval85.0ms (1.2%)

Memory: 6.8MiB live, 123.9MiB allocated
Compiler: Compiled 10 308 to 799 computations (92.2% saved)

prune99.0ms (1.4%)

Memory

-30.0MiB live, 146.3MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	594	3	597
Fresh	2	2	4
Picked	1	4	5
Done	0	0	0
Total	597	9	606

Accuracy

100.0%

Counts

606 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
✓	73.9%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
▶	40.9%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
▶	65.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
▶	69.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
✓	64.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
▶	29.1%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
▶	36.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
✓	31.2%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 142 to 87 computations (38.7% saved)

simplify281.0ms (4.1%)

Memory

-14.2MiB live, 104.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z))
cost-diff	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
cost-diff	256	(/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))
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	#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	(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))

Rules

2 044×	`lower-fma.f32`
2 040×	`lower-fma.f64`
528×	`lower-*.f32`
525×	`lower-*.f64`
470×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	175
0	43	175
1	76	159
2	143	159
3	296	159
4	411	159
5	635	159
6	1269	159
7	2742	159
8	3897	159
9	4158	159
10	4237	159
11	4255	159
12	4257	159
13	4342	159
14	4658	159
15	4682	159
16	4682	159
17	4682	159
0	4682	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#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
#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)
(+.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)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
(/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z))
#s(literal 9 binary64)
(*.f64 x x)
x
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(fma.f64 #s(literal 3 binary64) x (neg.f64 z))
#s(literal 3 binary64)

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 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
#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)
(+.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)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) x) x (.f64 z z)) (fma.f64 #s(literal -3 binary64) x z)))
(/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))
(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) x) x (.f64 z z)) (fma.f64 #s(literal -3 binary64) x z))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z))
(fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 (neg.f64 z) z))
#s(literal 9 binary64)
(*.f64 x x)
x
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(fma.f64 #s(literal 3 binary64) x (neg.f64 z))
#s(literal 3 binary64)

localize188.0ms (2.7%)

Memory

27.0MiB live, 144.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	3.082014736641647	(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z))
accuracy	22.487081632265802	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
accuracy	30.652397803001264	(/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))
accuracy	0	(+.f64 y x)
accuracy	0.109375	(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
accuracy	21.884391215414293	#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	40.66828839514752	#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	40.67838684440606	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(fma.f64 y #s(literal 2 binary64) z)
accuracy	19.428786675752683	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))

Samples

98.0ms	201×	0	valid
46.0ms	9×	3	valid
10.0ms	24×	2	valid
7.0ms	22×	1	valid

Compiler

Compiled 143 to 27 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-add: 48.0ms (57.6% of total)

ival-neg: 17.0ms (20.4% of total)

ival-mult: 10.0ms (12% of total)

adjust: 6.0ms (7.2% of total)

ival-div: 2.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.8%)

Memory

-9.8MiB live, 26.0MiB allocated

Counts

15 → 384

Calls

Call 1

Inputs
#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 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 (+.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 (+.f64 y y) (patch (+.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>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))) (patch (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())

Outputs
#s(alt (+ z (* 2 y)) (taylor 0 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 (+ z (+ (* 2 y) (* 3 x))) (taylor 0 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 (+ z (+ (* 2 y) (* 3 x))) (taylor 0 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 (+ z (+ (* 2 y) (* 3 x))) (taylor 0 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 #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 (+ 3 (+ (* 2 (/ y x)) (/ z 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 (* x (+ 3 (+ (* 2 (/ y x)) (/ z 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 (* x (+ 3 (+ (* 2 (/ y x)) (/ z 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 (* 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 (+ x (+ z (* 2 x))) (taylor 0 y) (#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 y) (#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 y) (#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 y) (#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 inf y) (#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 (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#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 (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#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 (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#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 -inf y) (#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 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (taylor -inf y) (#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 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (taylor -inf y) (#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 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (taylor -inf y) (#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 (+ (* 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 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 #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 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (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 (* -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 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 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (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 0 y) (#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 y) (#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 y) (#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 y) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ z y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ z y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ z y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ z y)) 2))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ z y)) 2))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ z y)) 2))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (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 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 (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -2 (/ y z)) 1))) (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 (* -1 (* z (- (* -2 (/ y z)) 1))) (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 (* -1 (* z (- (* -2 (/ y z)) 1))) (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 (* 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>) () ())) ())
#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 (* (pow x 2) (+ 9 (* -1 (/ (pow z 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (* 9 (pow x 2))) (taylor 0 z) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (* 9 (pow x 2))) (taylor 0 z) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (* 9 (pow x 2))) (taylor 0 z) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 9 (/ (pow x 2) (pow z 2))) 1)) (taylor inf z) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 9 (/ (pow x 2) (pow z 2))) 1)) (taylor inf z) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 9 (/ (pow x 2) (pow z 2))) 1)) (taylor inf z) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor -inf z) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 9 (/ (pow x 2) (pow z 2))) 1)) (taylor -inf z) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 9 (/ (pow x 2) (pow z 2))) 1)) (taylor -inf z) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 9 (/ (pow x 2) (pow z 2))) 1)) (taylor -inf z) (#s(alt (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())

Calls

96 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (+ (* 9 (* x x)) (* (neg z) z)) (+ (* 3 x) (neg z)))
1.0ms	x	@	0	(/ (+ (* 9 (* x x)) (* (neg z) z)) (+ (* 3 x) (neg z)))
1.0ms	z	@	0	(/ (+ (* 9 (* x x)) (* (neg z) z)) (+ (* 3 x) (neg z)))
0.0ms	z	@	inf	(/ (+ (* 9 (* x x)) (* (neg z) z)) (+ (* 3 x) (neg z)))
0.0ms	x	@	-inf	(/ (+ (* 9 (* x x)) (* (neg z) z)) (+ (* 3 x) (neg z)))

simplify289.0ms (4.2%)

Memory

34.4MiB live, 178.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 747×	`lower-fma.f64`
5 747×	`lower-fma.f32`
1 985×	`lower-*.f64`
1 985×	`lower-*.f32`
704×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	2645
1	444	2557
2	1192	2497
3	3935	2479
4	6764	2479
0	8117	2120

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 360

Calls

Call 1

Inputs
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
z
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
(* 2 y)
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* 2 y)
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
z
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
z
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(+ z (* 2 x))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(+ (* 2 x) (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ x (* 2 x))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* 2 y)
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(* 3 x)
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* 3 x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
z
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
(* 3 x)
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* 3 x)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* 3 x)
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
z
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (* 3 (/ x z))))
z
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (* 9 (pow x 2)))
(+ (* -1 (pow z 2)) (* 9 (pow x 2)))
(+ (* -1 (pow z 2)) (* 9 (pow x 2)))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -1 (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 9 (* -1 (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 9 (* -1 (/ (pow z 2) (pow x 2)))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -1 (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 9 (* -1 (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 9 (* -1 (/ (pow z 2) (pow x 2)))))
(* 9 (pow x 2))
(+ (* -1 (pow z 2)) (* 9 (pow x 2)))
(+ (* -1 (pow z 2)) (* 9 (pow x 2)))
(+ (* -1 (pow z 2)) (* 9 (pow x 2)))
(* -1 (pow z 2))
(* (pow z 2) (- (* 9 (/ (pow x 2) (pow z 2))) 1))
(* (pow z 2) (- (* 9 (/ (pow x 2) (pow z 2))) 1))
(* (pow z 2) (- (* 9 (/ (pow x 2) (pow z 2))) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (* 9 (/ (pow x 2) (pow z 2))) 1))
(* (pow z 2) (- (* 9 (/ (pow x 2) (pow z 2))) 1))
(* (pow z 2) (- (* 9 (/ (pow x 2) (pow z 2))) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)

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

rewrite445.0ms (6.5%)

Memory

3.3MiB live, 282.9MiB allocated

Rules

3 322×	`lower-*.f32`
3 319×	`lower-*.f64`
2 793×	`lower-fma.f32`
2 789×	`lower-fma.f64`
1 685×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	152
0	43	152
1	206	118
2	2128	118
0	8533	116

Stop Event

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

Counts

15 → 382

Calls

Call 1

Inputs
#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 y #s(literal 2 binary64))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
(+.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)
#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)
(/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z))
(*.f64 x x)
(neg.f64 z)

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
(.f64 (-.f64 (+.f64 y y) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y y) z)))
(.f64 (fma.f64 (.f64 z z) z (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (+.f64 y y)) (+.f64 y y))))
(pow.f64 (/.f64 (-.f64 (+.f64 y y) z) (-.f64 (+.f64 y y) (*.f64 z z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (+.f64 y y)) (+.f64 y y)) (fma.f64 (*.f64 z z) z (+.f64 y y))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 z z) (+.f64 y y)) (-.f64 z (+.f64 y y)))
(/.f64 (neg.f64 (-.f64 (+.f64 y y) (*.f64 z z))) (neg.f64 (-.f64 (+.f64 y y) z)))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) z (+.f64 y y))) (neg.f64 (fma.f64 z (-.f64 z (+.f64 y y)) (+.f64 y y))))
(/.f64 (-.f64 (+.f64 y y) (*.f64 z z)) (-.f64 (+.f64 y y) z))
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(.f64 (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 z z) z))) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 x x) #s(literal 9 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 9 binary64) x) x (*.f64 (neg.f64 z) z))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))) (fma.f64 (.f64 #s(literal 9 binary64) x) x (*.f64 (neg.f64 z) z)))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) (neg.f64 z)))
(.f64 (fma.f64 z z (neg.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))))
(.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 z))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 z))) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z z) (.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))) (fma.f64 (.f64 #s(literal 9 binary64) x) x (*.f64 z z)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))) (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))
(/.f64 (-.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 z z) z)) (fma.f64 (.f64 #s(literal 9 binary64) x) x (fma.f64 z z (.f64 (.f64 #s(literal 3 binary64) x) (neg.f64 z)))))
(/.f64 (neg.f64 (fma.f64 z z (neg.f64 (.f64 (.f64 x x) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))))
(/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z z) (.f64 (neg.f64 z) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 z z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (neg.f64 z) z) (.f64 (.f64 x x) #s(literal 9 binary64))))) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
(/.f64 (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z z) (.f64 (neg.f64 z) z))) (.f64 (fma.f64 #s(literal 3 binary64) x (neg.f64 z)) (fma.f64 (.f64 #s(literal 9 binary64) x) x (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 z))))
(/.f64 (fma.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (fma.f64 #s(literal 3 binary64) x (neg.f64 z)) (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 x x) #s(literal 9 binary64)))))))
(/.f64 (fma.f64 z z (neg.f64 (.f64 (.f64 x x) #s(literal 9 binary64)))) (neg.f64 (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
(/.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))
(neg.f64 (/.f64 (fma.f64 z z (neg.f64 (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal 3 binary64) x (neg.f64 (neg.f64 z)))
(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 1 binary64) z))
(fma.f64 x #s(literal 3 binary64) (neg.f64 (neg.f64 z)))
(-.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 z))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) (neg.f64 z)))) #s(literal -1 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 0 binary64)) z)
(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 (neg.f64 z)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (-.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 z)))
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z z) (.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 9 binary64) x) x (*.f64 z z))))
(.f64 (fma.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 x x) #s(literal 9 binary64)))))))
(.f64 (fma.f64 #s(literal 3 binary64) x (neg.f64 z)) (-.f64 (.f64 #s(literal 3 binary64) x) (neg.f64 z)))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 z z)) (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z z) (.f64 (neg.f64 z) z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (neg.f64 z) z) (.f64 (.f64 x x) #s(literal 9 binary64))))) (fma.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 (neg.f64 z) z) (.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 729 binary64)) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 z z) (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z z) (.f64 (neg.f64 z) z)))) (neg.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 z z))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (neg.f64 z) z) (.f64 (.f64 x x) #s(literal 9 binary64)))))))
(/.f64 (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z z) (.f64 (neg.f64 z) z))) (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 z z)) (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z z) (.f64 (neg.f64 z) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (neg.f64 z) z) (.f64 (.f64 x x) #s(literal 9 binary64))))) (fma.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))))
(/.f64 (fma.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (fma.f64 (.f64 z z) (.f64 z z) (-.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) z) (neg.f64 z)))))
(/.f64 (fma.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (neg.f64 z) z) (.f64 (.f64 x x) #s(literal 9 binary64))))))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x (*.f64 (neg.f64 z) z))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64) (*.f64 (neg.f64 z) z))
(fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 (neg.f64 z) z))
(fma.f64 #s(literal -1 binary64) (.f64 z z) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x) (*.f64 (neg.f64 z) z))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(literal 3 binary64) x)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(literal 3 binary64) x)) (*.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 z) z (.f64 (.f64 x x) #s(literal 9 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 (neg.f64 z) z))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z))
(fma.f64 z (neg.f64 z) (.f64 (.f64 x x) #s(literal 9 binary64)))
(fma.f64 x (.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) x)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(fma.f64 x (.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) x)) (*.f64 (neg.f64 z) z))
(fma.f64 x (.f64 #s(literal 9 binary64) x) (.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(fma.f64 x (.f64 #s(literal 9 binary64) x) (.f64 (neg.f64 z) z))
(-.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 z z))) (/.f64 (.f64 (.f64 z z) (.f64 z z)) (fma.f64 (.f64 #s(literal 9 binary64) x) x (*.f64 z z))))
(-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 z z))
(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 (neg.f64 z) z))
(+.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))

eval313.0ms (4.6%)

Memory: -4.2MiB live, 192.3MiB allocated
Compiler: Compiled 10 301 to 803 computations (92.2% saved)

prune81.0ms (1.2%)

Memory

-7.1MiB live, 229.6MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	759	2	761
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	760	10	770

Accuracy

100.0%

Counts

770 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
✓	73.9%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
✓	40.9%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
▶	79.2%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (/.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z) z z))
✓	65.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
✓	69.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
✓	64.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
✓	29.1%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
▶	36.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓	31.2%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 104 to 62 computations (40.4% saved)

simplify298.0ms (4.4%)

Memory

-10.9MiB live, 316.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (+.f64 x y) #s(literal 2 binary64) x)
cost-diff	0	(/.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z)
cost-diff	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (/.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z) z z))
cost-diff	896	(fma.f64 (/.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z) z z)
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

Rules

7 513×	`lower-fma.f32`
7 511×	`lower-fma.f64`
3 261×	`lower-*.f64`
3 261×	`lower-*.f32`
1 283×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	74
0	23	74
1	45	68
2	106	66
3	234	62
4	423	62
5	641	62
6	842	62
7	2633	62
8	3425	62
9	4619	62
10	5102	62
11	5364	62
12	5800	62
13	6418	62
14	7247	62
0	8865	58

Stop Event

1×	iter limit
1×	node limit
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 (/.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z) z z))
(fma.f64 (/.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z) z z)
(/.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z)
(fma.f64 (+.f64 x y) #s(literal 2 binary64) x)
(+.f64 x y)
x
y
#s(literal 2 binary64)
z

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

localize85.0ms (1.2%)

Memory

-8.3MiB live, 112.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (/.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z) z z))
accuracy	0.06640625	(/.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z)
accuracy	0.109375	(fma.f64 (+.f64 x y) #s(literal 2 binary64) x)
accuracy	13.348789724855058	(fma.f64 (/.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z) z z)
accuracy	0	(+.f64 y y)
accuracy	40.67838684440606	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

Samples

23.0ms	219×	0	valid
4.0ms	20×	1	valid
3.0ms	10×	2	valid
3.0ms	7×	3	valid

Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions

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

ival-add: 13.0ms (58.5% of total)

ival-mult: 4.0ms (18% of total)

adjust: 3.0ms (13.5% of total)

ival-div: 2.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

6 → 180

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

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

Calls

45 calls:

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

simplify207.0ms (3%)

Memory

-19.6MiB live, 262.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 877×	`lower-fma.f64`
5 877×	`lower-fma.f32`
1 737×	`lower-*.f64`
1 737×	`lower-*.f32`
1 038×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1548
1	332	1470
2	888	1470
3	2682	1374
4	7359	1374
0	8513	1155

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 174

Calls

Call 1

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

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

rewrite224.0ms (3.3%)

Memory

25.5MiB live, 365.7MiB allocated

Rules

2 621×	`lower-*.f64`
2 621×	`lower-*.f32`
2 162×	`lower-/.f32`
2 161×	`lower-/.f64`
2 117×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
0	23	66
1	133	60
2	1358	58
0	8673	56

Stop Event

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

Counts

6 → 135

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
(.f64 (pow.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)))
(.f64 (.f64 (+.f64 y y) (+.f64 y y)) (+.f64 y y))
(.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) (/.f64 #s(literal -1 binary64) #s(literal 0 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) #s(literal 8 binary64))
(*.f64 #s(literal 2 binary64) y)
(.f64 (+.f64 y y) (.f64 (+.f64 y y) (+.f64 y y)))
(*.f64 y #s(literal 2 binary64))
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(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) #s(literal 1 binary64))) (neg.f64 z))
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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 (.f64 z (fma.f64 x (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 y x))) (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))) (neg.f64 (neg.f64 z)))
(/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x)) z))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 y x))) (.f64 #s(literal 4 binary64) (*.f64 (+.f64 y x) (+.f64 y x)))) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (neg.f64 x) x)) (*.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.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)) (.f64 z (fma.f64 x (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 y x))) (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) (neg.f64 z))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) #s(literal 1 binary64)) z)
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z)
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) z))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (neg.f64 z)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x)))) (/.f64 (.f64 x x) (*.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (neg.f64 z)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x))) (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x))) z) (/.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x))) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x))))
(.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 y x))) (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x)) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 y x))) (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.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))) #s(literal -1 binary64))
(/.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 (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x)))))
(/.f64 (neg.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 (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 y x))) (.f64 #s(literal 4 binary64) (*.f64 (+.f64 y x) (+.f64 y x)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x))) (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x))) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x)) (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 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))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x))))
(/.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 x x (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))))))
(/.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 x (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 y x))) (.f64 #s(literal 4 binary64) (*.f64 (+.f64 y x) (+.f64 y x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x)) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (neg.f64 x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 y x))) (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.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 (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (neg.f64 x) x)) (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x)) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 y x))) (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.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 (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 #s(literal 2 binary64) (.f64 (+.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 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 y x))) (.f64 #s(literal 4 binary64) (*.f64 (+.f64 y x) (+.f64 y x)))))
(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 x (-.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)))) 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))) (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) (neg.f64 x))))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
(+.f64 x (*.f64 #s(literal 2 binary64) (+.f64 y x)))

eval38.0ms (0.6%)

Memory: -5.4MiB live, 76.5MiB allocated
Compiler: Compiled 5 340 to 432 computations (91.9% saved)

prune36.0ms (0.5%)

Memory

4.1MiB live, 79.8MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	305	4	309
Fresh	0	0	0
Picked	1	1	2
Done	1	7	8
Total	307	12	319

Accuracy

100.0%

Counts

319 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
✓	73.9%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
✓	40.9%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
	56.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (/.f64 #s(approx (+ (* (+ x y) 2) x) (*.f64 x #s(literal 3 binary64))) z) z z))
	75.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))) z))
✓	65.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
	79.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (/.f64 #s(literal 1 binary64) z)) z z))
	75.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z) (/.f64 #s(literal 1 binary64) z) z))
✓	69.6%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
✓	64.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
✓	36.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓	31.2%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 315 to 131 computations (58.4% saved)

regimes27.0ms (0.4%)

Memory

23.1MiB live, 60.8MiB allocated

Counts

19 → 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 (+.f64 x y) #s(literal 2 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (/.f64 #s(approx (+ (* (+ x y) 2) x) (*.f64 x #s(literal 3 binary64))) z) z z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (/.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z) z z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z) (/.f64 #s(literal 1 binary64) z) z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (/.f64 #s(literal 1 binary64) z)) z z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 3 binary64) x (neg.f64 z))))
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 y x) (+.f64 z x)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))) z))

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

Calls

4 calls:

8.0ms	z
6.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
6.0ms	x
6.0ms	y

Results

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes53.0ms (0.8%)

Memory

-51.5MiB live, 62.7MiB allocated

Counts

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

Outputs

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

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

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

Calls

4 calls:

38.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
6.0ms	y
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
89.8%	3	`x`
92.8%	3	`y`
89.0%	3	`z`
73.9%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
92.6%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

-20.2MiB live, 16.1MiB 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

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
92.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

26.2MiB live, 26.2MiB 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

3 calls:

2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
70.7%	3	`z`
69.9%	3	`x`
87.9%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.2%)

Memory

-11.5MiB live, 24.5MiB 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:

5.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
55.1%	3	`x`
42.8%	3	`z`
41.9%	3	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
58.8%	3	`y`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes6.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB 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:

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

Results

Accuracy	Segments	Branch
36.4%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
36.4%	1	`z`
36.4%	1	`x`
36.4%	1	`y`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch29.0ms (0.4%)

Memory

-30.8MiB live, 54.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.540820475285181e+38	2.5804829633024067e+43
13.0ms	-8.236470254017676e+152	-4.4446372004390726e+151

Samples

14.0ms	216×	0	valid
2.0ms	20×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 317 to 209 computations (34.1% saved)

Precisions

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

ival-add: 6.0ms (89.8% of total)

adjust: 1.0ms (15% of total)

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

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

bsearch16.0ms (0.2%)

Memory

1.0MiB live, 40.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.9127724051341567e+32	6.540820475285181e+38
1.0ms	-8.236470254017676e+152	-4.4446372004390726e+151

Samples

6.0ms	130×	0	valid
1.0ms	12×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 323 to 215 computations (33.4% saved)

Precisions

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

ival-add: 3.0ms (75.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch9.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.540820475285181e+38	2.5804829633024067e+43
1.0ms	-8.236470254017676e+152	-4.4446372004390726e+151

Samples

3.0ms	70×	0	valid
1.0ms	10×	1	valid

Compiler

Compiled 287 to 194 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 2.0ms (87.8% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch20.0ms (0.3%)

Memory

-16.9MiB live, 64.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.42176949042689e+54	6.326069043552401e+55
9.0ms	-7.34196817917461e+155	-8.507050751158572e+154

Samples

10.0ms	180×	0	valid
1.0ms	9×	1	valid
0.0ms	3×	2	valid

Compiler

Compiled 221 to 146 computations (33.9% saved)

Precisions

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

ival-add: 6.0ms (95.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch11.0ms (0.2%)

Memory

-6.5MiB live, 33.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.540820475285181e+38	2.5804829633024067e+43
1.0ms	-8.236470254017676e+152	-4.4446372004390726e+151

Samples

4.0ms	82×	0	valid
1.0ms	12×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 257 to 179 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (70.1% of total)

adjust: 0.0ms (0% of total)

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

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

simplify7.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	300
1	54	300

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(if (<=.f64 y #s(literal -44999999999999998592472784537976688663797544715360944923871395941445959838047886848453956002681509343678304676655246074253625250204744727519550586748928 binary64)) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (if (<=.f64 y #s(literal 1300000000000000027402925499364184948736 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)))
(if (<=.f64 y #s(literal -44999999999999998592472784537976688663797544715360944923871395941445959838047886848453956002681509343678304676655246074253625250204744727519550586748928 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 y #s(literal 490000000000000013684115844890624 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 (+.f64 x y) #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -44999999999999998592472784537976688663797544715360944923871395941445959838047886848453956002681509343678304676655246074253625250204744727519550586748928 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 y #s(literal 6600000000000000418105426292455671595008 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 -400000000000000002870492616364067321632245924756641247226851088585002646721953360513066427938304757321546295253187048545040326136917876903810934614708453376 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 44999999999999999780013282076507874806620531745424932864 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 -44999999999999998592472784537976688663797544715360944923871395941445959838047886848453956002681509343678304676655246074253625250204744727519550586748928 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 69999999999999998499724740145138144116736 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
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 z x))
(if (<=.f64 y #s(literal -44999999999999998592472784537976688663797544715360944923871395941445959838047886848453956002681509343678304676655246074253625250204744727519550586748928 binary64)) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (if (<=.f64 y #s(literal 1300000000000000027402925499364184948736 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)))
(if (<=.f64 y #s(literal -44999999999999998592472784537976688663797544715360944923871395941445959838047886848453956002681509343678304676655246074253625250204744727519550586748928 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 y #s(literal 490000000000000013684115844890624 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 (+.f64 x y) #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -44999999999999998592472784537976688663797544715360944923871395941445959838047886848453956002681509343678304676655246074253625250204744727519550586748928 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 y #s(literal 6600000000000000418105426292455671595008 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 -400000000000000002870492616364067321632245924756641247226851088585002646721953360513066427938304757321546295253187048545040326136917876903810934614708453376 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 44999999999999999780013282076507874806620531745424932864 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 -44999999999999998592472784537976688663797544715360944923871395941445959838047886848453956002681509343678304676655246074253625250204744727519550586748928 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 69999999999999998499724740145138144116736 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))

soundness765.0ms (11.2%)

Memory

-28.3MiB live, 496.7MiB allocated

Rules

5 355×	`lower-fma.f64`
5 355×	`lower-fma.f32`
3 322×	`lower-*.f32`
3 319×	`lower-*.f64`
2 793×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	764
1	343	762
2	900	762
3	2801	762
4	6719	762
0	8258	658
0	28	152
0	43	152
1	206	118
2	2128	118
0	8533	116
0	8	35
0	13	35
1	81	29
2	878	29
0	8130	26

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

Compiler

Compiled 258 to 127 computations (50.8% saved)

preprocess58.0ms (0.8%)

Memory: 12.9MiB live, 129.0MiB allocated
Compiler: Compiled 290 to 92 computations (68.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (15%)

explain126.0ms (1.8%)

preprocess342.0ms (5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize298.0ms (4.4%)

series46.0ms (0.7%)

simplify158.0ms (2.3%)

rewrite271.0ms (4%)

eval130.0ms (1.9%)

prune190.0ms (2.8%)

simplify9.0ms (0.1%)

localize65.0ms (1%)

series19.0ms (0.3%)

simplify150.0ms (2.2%)

rewrite230.0ms (3.4%)

eval85.0ms (1.2%)

prune99.0ms (1.4%)

simplify281.0ms (4.1%)

localize188.0ms (2.7%)

series53.0ms (0.8%)

simplify289.0ms (4.2%)

rewrite445.0ms (6.5%)

eval313.0ms (4.6%)

prune81.0ms (1.2%)

simplify298.0ms (4.4%)

localize85.0ms (1.2%)

series9.0ms (0.1%)

simplify207.0ms (3%)

rewrite224.0ms (3.3%)

eval38.0ms (0.6%)

prune36.0ms (0.5%)

regimes27.0ms (0.4%)

regimes53.0ms (0.8%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch29.0ms (0.4%)

bsearch16.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch20.0ms (0.3%)

bsearch11.0ms (0.2%)

simplify7.0ms (0.1%)

soundness765.0ms (11.2%)

preprocess58.0ms (0.8%)

end0.0ms (0%)

Profiling