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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.1s (15.8%)

Memory

24.5MiB live, 1 212.3MiB allocated

Samples

610.0ms	7 665×	0	valid
35.0ms	353×	1	valid
33.0ms	180×	2	valid
13.0ms	58×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 439.0ms

ival-add: 405.0ms (92.2% of total)

adjust: 26.0ms (5.9% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain384.0ms (5.7%)

Memory

-39.6MiB live, 221.9MiB 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

26.0ms	474×	0	valid
3.0ms	22×	1	valid
2.0ms	10×	2	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: 15.0ms

ival-add: 12.0ms (82.5% of total)

adjust: 2.0ms (13.8% of total)

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

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

preprocess341.0ms (5.1%)

Memory

-0.4MiB live, 78.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

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

2.0MiB live, 2.0MiB 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)

simplify8.0ms (0.1%)

Memory

24.1MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

-6.7MiB live, 70.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0.03125	(+.f64 (+.f64 (+.f64 x y) y) x)
accuracy	0.03515625	(+.f64 (+.f64 x y) y)
accuracy	0.05859375	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Samples

14.0ms	237×	0	valid
2.0ms	5×	2	valid
1.0ms	11×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 40 to 10 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 10.0ms (93.1% of total)

adjust: 1.0ms (9.3% of total)

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

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

series7.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB 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>) () ())) ())
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#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>) () ())) ())
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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 (* 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>) () ())) ())
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#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
0.0ms	x	@	inf	(+ (+ (+ (+ x y) y) x) z)
0.0ms	x	@	0	(+ (+ (+ (+ x y) y) x) z)
0.0ms	y	@	inf	(+ (+ (+ (+ x y) y) x) z)
0.0ms	y	@	0	(+ (+ (+ (+ x y) y) x) z)
0.0ms	x	@	0	(+ (+ (+ (+ (+ x y) y) x) z) x)

simplify231.0ms (3.4%)

Memory

-13.2MiB live, 349.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 131

Calls

Call 1

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

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

rewrite264.0ms (3.9%)

Memory

-5.8MiB live, 501.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 593

Calls

Call 1

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

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

eval153.0ms (2.3%)

Memory: -18.6MiB live, 211.1MiB allocated
Compiler: Compiled 26 246 to 2 456 computations (90.6% saved)

prune131.0ms (2%)

Memory

-12.8MiB live, 265.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

100.0%

Counts

725 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))))
▶	99.9%	(+.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 (+.f64 x z) x))
▶	47.5%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
	58.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
	74.1%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
▶	67.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
	33.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
▶	42.7%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 154 to 100 computations (35.1% saved)

simplify17.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 2 binary64) (+.f64 x y) z)
cost-diff	0	(+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))))
cost-diff	0	#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y))
cost-diff	0	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
cost-diff	128	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(fma.f64 #s(literal 2 binary64) y z)
cost-diff	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
cost-diff	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
cost-diff	128	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(+.f64 x z)
cost-diff	0	(+.f64 (+.f64 x z) x)
cost-diff	0	(fma.f64 #s(literal 2 binary64) y x)
cost-diff	192	(+.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 (+.f64 x z) x))

Rules

640×	`lower-fma.f32`
634×	`lower-fma.f64`
270×	`lower-+.f32`
268×	`associate-+r+`
258×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	147
0	38	150
1	76	129
2	164	129
3	383	129
4	550	129
5	550	129
0	550	122

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (1.2%)

Memory

-15.3MiB live, 141.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0.05859375	(+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)))
accuracy	0.203125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.05859375	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
accuracy	36.667533842584696	#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y))
accuracy	0	(fma.f64 #s(literal 2 binary64) y z)
accuracy	20.84022849560999	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	36.67707040298548	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
accuracy	0	(fma.f64 #s(literal 2 binary64) y x)
accuracy	0	(+.f64 x z)
accuracy	0.037441259768442016	(+.f64 (+.f64 x z) x)
accuracy	0.05859375	(+.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 (+.f64 x z) x))

Samples

34.0ms	231×	0	valid
17.0ms	9×	2	valid
4.0ms	13×	1	valid
2.0ms	3×	3	valid

Compiler

Compiled 139 to 23 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-add: 17.0ms (42.6% of total)

adjust: 15.0ms (37.6% of total)

ival-div: 4.0ms (10% of total)

ival-mult: 4.0ms (10% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory

20.1MiB live, 56.3MiB allocated

Counts

15 → 456

Calls

Call 1

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

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

114 calls:

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

simplify292.0ms (4.3%)

Memory

-6.9MiB live, 547.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 358×	`lower-fma.f64`
13 358×	`lower-fma.f32`
6 492×	`lower-*.f64`
6 492×	`lower-*.f32`
4 548×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	365	4494
1	1076	4310
2	2941	4150
0	8708	3661

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 419

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) (* 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
(+ 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)))
(* 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)))
z
(+ z (* 2 x))
(+ z (* 2 x))
(+ z (* 2 x))
(* 2 x)
(* x (+ 2 (/ z x)))
(* x (+ 2 (/ z x)))
(* x (+ 2 (/ z x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ z x)) 2)))
(* -1 (* x (- (* -1 (/ z x)) 2)))
(* -1 (* x (- (* -1 (/ z x)) 2)))
(* 2 x)
(+ z (* 2 x))
(+ z (* 2 x))
(+ z (* 2 x))
z
(* z (+ 1 (* 2 (/ x z))))
(* z (+ 1 (* 2 (/ x z))))
(* z (+ 1 (* 2 (/ x z))))
z
(* -1 (* z (- (* -2 (/ x z)) 1)))
(* -1 (* z (- (* -2 (/ x z)) 1)))
(* -1 (* z (- (* -2 (/ x z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z 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)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
z
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
(* 2 y)
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* 2 y)
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
z
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
z
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(+ z (* 2 x))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(+ (* 2 x) (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (* 2 (+ x 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)))
(/ 1 (+ z (* 2 y)))
(+ (* -3 (/ x (pow (+ z (* 2 y)) 2))) (/ 1 (+ z (* 2 y))))
(+ (* x (- (* 9 (/ x (pow (+ z (* 2 y)) 3))) (* 3 (/ 1 (pow (+ z (* 2 y)) 2))))) (/ 1 (+ z (* 2 y))))
(+ (* x (- (* x (+ (* -27 (/ x (pow (+ z (* 2 y)) 4))) (* 9 (/ 1 (pow (+ z (* 2 y)) 3))))) (* 3 (/ 1 (pow (+ z (* 2 y)) 2))))) (/ 1 (+ z (* 2 y))))
(/ 1/3 x)
(/ (+ 1/3 (* -1/9 (/ (+ z (* 2 y)) x))) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow (+ z (* 2 y)) 2) (pow x 2)))) (* 1/9 (/ (+ z (* 2 y)) x))) x)
(/ (- (+ 1/3 (* -1/81 (/ (pow (+ z (* 2 y)) 3) (pow x 3)))) (+ (* -1/27 (/ (pow (+ z (* 2 y)) 2) (pow x 2))) (* 1/9 (/ (+ z (* 2 y)) x)))) x)
(/ 1/3 x)
(* -1 (/ (- (* 1/9 (/ (+ z (* 2 y)) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow (+ z (* 2 y)) 2) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow (+ z (* 2 y)) 3) x)) (* 1/27 (pow (+ z (* 2 y)) 2))) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x))
(/ 1 (+ x (+ z (* 2 x))))
(+ (* -2 (/ y (pow (+ x (+ z (* 2 x))) 2))) (/ 1 (+ x (+ z (* 2 x)))))
(+ (* y (- (* 4 (/ y (pow (+ x (+ z (* 2 x))) 3))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x)))))
(+ (* y (- (* y (+ (* -8 (/ y (pow (+ x (+ z (* 2 x))) 4))) (* 4 (/ 1 (pow (+ x (+ z (* 2 x))) 3))))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x)))))
(/ 1/2 y)
(/ (+ 1/2 (* -1/4 (/ (+ x (+ z (* 2 x))) y))) y)
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2)))) (* 1/4 (/ (+ x (+ z (* 2 x))) y))) y)
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ x (+ z (* 2 x))) 3) (pow y 3)))) (+ (* -1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2))) (* 1/4 (/ (+ x (+ z (* 2 x))) y)))) y)
(/ 1/2 y)
(* -1 (/ (- (* 1/4 (/ (+ x (+ z (* 2 x))) y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ x (+ z (* 2 x))) 3) y)) (* 1/8 (pow (+ x (+ z (* 2 x))) 2))) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y))
(/ 1 (+ x (* 2 (+ x y))))
(+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 2))) (/ 1 (+ x (* 2 (+ x y)))))
(+ (* z (- (/ z (pow (+ x (* 2 (+ x y))) 3)) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y)))))
(+ (* z (- (* z (+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 4))) (/ 1 (pow (+ x (* 2 (+ x y))) 3)))) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y)))))
(/ 1 z)
(/ (+ 1 (* -1 (/ (+ x (* 2 (+ x y))) z))) z)
(/ (- (+ 1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z))) z)
(/ (- (+ 1 (* -1 (/ (pow (+ x (* 2 (+ x y))) 3) (pow z 3)))) (+ (* -1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z)))) z)
(/ 1 z)
(* -1 (/ (- (+ (* 2 (/ (+ x y) z)) (/ x z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 2) z) (+ x (* 2 (+ x y)))) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 3) z) (pow (+ x (* 2 (+ x y))) 2)) z)) (+ x (* 2 (+ x y)))) z)) 1) z))
(+ 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 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 y))
(+ z (* 2 (+ x y)))
(+ z (* 2 (+ x y)))
(+ z (* 2 (+ x y)))
z
(* z (+ 1 (* 2 (/ (+ x y) z))))
(* z (+ 1 (* 2 (/ (+ x y) z))))
(* z (+ 1 (* 2 (/ (+ x y) z))))
z
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite361.0ms (5.4%)

Memory

21.6MiB live, 543.8MiB allocated

Rules

4 444×	`lower-fma.f32`
4 438×	`lower-fma.f64`
3 818×	`lower-/.f32`
3 814×	`lower-/.f64`
3 448×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	127
0	38	130
1	223	109
2	2429	109
0	8784	109

Stop Event

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

Counts

15 → 844

Calls

Call 1

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

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

eval312.0ms (4.7%)

Memory: 1.9MiB live, 394.2MiB allocated
Compiler: Compiled 34 776 to 2 358 computations (93.2% saved)

prune199.0ms (3%)

Memory

2.5MiB live, 390.4MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1 276	7	1 283
Fresh	3	0	3
Picked	4	1	5
Done	0	0	0
Total	1 283	8	1 291

Accuracy

100.0%

Counts

1 291 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)))
	74.1%	(+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (*.f64 x #s(literal 2 binary64))))
▶	47.5%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
▶	58.9%	#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (fma.f64 x #s(literal 3 binary64) z))
▶	74.1%	#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
▶	33.4%	#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (*.f64 x #s(literal 3 binary64)))
✓	67.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
▶	42.7%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

Compiler

Compiled 132 to 83 computations (37.1% saved)

simplify19.0ms (0.3%)

Memory

4.8MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

640×	`lower-fma.f32`
636×	`lower-fma.f64`
270×	`lower-+.f32`
264×	`lower-+.f64`
228×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	131
0	33	116
1	67	109
2	147	109
3	337	109
4	503	109
5	507	109
0	507	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (1.2%)

Memory

-20.8MiB live, 131.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0.05859375	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
accuracy	36.667533842584696	#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
accuracy	0	(fma.f64 x #s(literal 3 binary64) z)
accuracy	26.311588525139005	#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (fma.f64 x #s(literal 3 binary64) z))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	42.5925687773479	#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (*.f64 x #s(literal 3 binary64)))
accuracy	0	(+.f64 y y)
accuracy	36.67707040298548	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
accuracy	0	(+.f64 x y)
accuracy	0.078125	(fma.f64 #s(literal 2 binary64) (+.f64 x y) x)
accuracy	16.566044037361802	#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))

Samples

45.0ms	220×	0	valid
4.0ms	17×	1	valid
4.0ms	10×	2	valid
4.0ms	7×	3	valid
1.0ms	2×	4	valid

Compiler

Compiled 107 to 22 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-add: 13.0ms (38.3% of total)

ival-mult: 12.0ms (35.4% of total)

adjust: 4.0ms (11.8% of total)

ival-div: 4.0ms (11.8% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

1.6MiB live, 40.1MiB allocated

Counts

11 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x 3)
0.0ms	x	@	inf	(* x 3)
0.0ms	y	@	inf	(+ y y)
0.0ms	x	@	-inf	(* x 3)
0.0ms	x	@	inf	(+ (* x 3) z)

simplify230.0ms (3.4%)

Memory

5.8MiB live, 398.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 480×	`lower-fma.f64`
9 480×	`lower-fma.f32`
3 014×	`lower-*.f64`
3 014×	`lower-*.f32`
1 922×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	2012
1	405	1966
2	1058	1966
3	3360	1966
4	7525	1966
0	8193	1616

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 291

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

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

rewrite251.0ms (3.7%)

Memory

-26.4MiB live, 337.7MiB allocated

Rules

4 650×	`lower-*.f32`
4 648×	`lower-*.f64`
4 106×	`lower-/.f64`
4 106×	`lower-/.f32`
2 598×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	117
0	33	102
1	191	95
2	1872	95
0	8079	93

Stop Event

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

Counts

11 → 137

Calls

Call 1

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

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

eval46.0ms (0.7%)

Memory: 30.1MiB live, 104.9MiB allocated
Compiler: Compiled 5 365 to 391 computations (92.7% saved)

prune37.0ms (0.6%)

Memory

4.0MiB live, 85.3MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	468	0	468
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	468	8	476

Accuracy

100.0%

Counts

476 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)))
▶	74.1%	(+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (*.f64 x #s(literal 2 binary64))))
✓	47.5%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
✓	58.9%	#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (fma.f64 x #s(literal 3 binary64) z))
✓	74.1%	#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
✓	33.4%	#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (*.f64 x #s(literal 3 binary64)))
✓	67.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
✓	42.7%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

Compiler

Compiled 70 to 44 computations (37.1% saved)

simplify11.0ms (0.2%)

Memory

-25.9MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

142×	`lower-+.f32`
140×	`lower-+.f64`
88×	`lower-fma.f32`
86×	`lower-fma.f64`
66×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	71
0	26	71
1	46	71
2	68	71
3	101	71
4	129	71
0	129	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (0.8%)

Memory

-2.2MiB live, 83.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.203125	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	0.3671875	(/.f64 #s(literal 1/3 binary64) x)
accuracy	42.29527955352368	#s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x))
accuracy	0	(fma.f64 #s(literal 2 binary64) y x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.05859375	(+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (*.f64 x #s(literal 2 binary64))))
accuracy	27.31176422635171	#s(approx (+ (+ x z) x) (*.f64 x #s(literal 2 binary64)))

Samples

34.0ms	231×	0	valid
3.0ms	13×	1	valid
3.0ms	9×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 59 to 21 computations (64.4% saved)

Precisions

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

ival-mult: 10.0ms (34% of total)

ival-add: 9.0ms (30.6% of total)

ival-div: 5.0ms (17% of total)

const: 4.0ms (13.6% of total)

adjust: 2.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

7 → 180

Calls

Call 1

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

Outputs
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (* 2 x))) (taylor 0 y) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 x) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) (patch (+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ x y))) (taylor inf y) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ x y))) (taylor inf y) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ x y))) (taylor inf y) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 2))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 2))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 2))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) y x) (patch (fma.f64 #s(literal 2 binary64) y x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* 1/9 (/ (+ z (* 2 y)) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow (+ z (* 2 y)) 2) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow (+ z (* 2 y)) 3) x)) (* 1/27 (pow (+ z (* 2 y)) 2))) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ x (+ z (* 2 x)))) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ y (pow (+ x (+ z (* 2 x))) 2))) (/ 1 (+ x (+ z (* 2 x))))) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* 4 (/ y (pow (+ x (+ z (* 2 x))) 3))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x))))) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -8 (/ y (pow (+ x (+ z (* 2 x))) 4))) (* 4 (/ 1 (pow (+ x (+ z (* 2 x))) 3))))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x))))) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor inf y) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/4 (/ (+ x (+ z (* 2 x))) y))) y) (taylor inf y) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2)))) (* 1/4 (/ (+ x (+ z (* 2 x))) y))) y) (taylor inf y) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (* -1/16 (/ (pow (+ x (+ z (* 2 x))) 3) (pow y 3)))) (+ (* -1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2))) (* 1/4 (/ (+ x (+ z (* 2 x))) y)))) y) (taylor inf y) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor -inf y) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/4 (/ (+ x (+ z (* 2 x))) y)) 1/2) y)) (taylor -inf y) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y)) (taylor -inf y) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ x (+ z (* 2 x))) 3) y)) (* 1/8 (pow (+ x (+ z (* 2 x))) 2))) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y)) (taylor -inf y) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ x (* 2 (+ x y)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 2))) (/ 1 (+ x (* 2 (+ x y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ z (pow (+ x (* 2 (+ x y))) 3)) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 4))) (/ 1 (pow (+ x (* 2 (+ x y))) 3)))) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor inf z) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (+ x (* 2 (+ x y))) z))) z) (taylor inf z) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z))) z) (taylor inf z) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow (+ x (* 2 (+ x y))) 3) (pow z 3)))) (+ (* -1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z)))) z) (taylor inf z) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor -inf z) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* 2 (/ (+ x y) z)) (/ x z)) 1) z)) (taylor -inf z) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 2) z) (+ x (* 2 (+ x y)))) z)) 1) z)) (taylor -inf z) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 3) z) (pow (+ x (* 2 (+ x y))) 2)) z)) (+ x (* 2 (+ x y)))) z)) 1) z)) (taylor -inf z) (#s(alt #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())

Calls

45 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ 1/3 x)
0.0ms	x	@	inf	(/ 1/3 x)
0.0ms	x	@	inf	(* x 2)
0.0ms	x	@	-inf	(/ 1/3 x)
0.0ms	x	@	-inf	(* x 2)

simplify272.0ms (4.1%)

Memory

1.3MiB live, 393.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 588×	`lower-fma.f64`
12 588×	`lower-fma.f32`
6 376×	`lower-*.f64`
6 376×	`lower-*.f32`
4 096×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	303	2003
1	874	1902
2	2447	1832
0	8279	1617

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 170

Calls

Call 1

Inputs
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ 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) (* 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
(+ 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)))
(* 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)))
z
(+ z (* 2 x))
(+ z (* 2 x))
(+ z (* 2 x))
(* 2 x)
(* x (+ 2 (/ z x)))
(* x (+ 2 (/ z x)))
(* x (+ 2 (/ z x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ z x)) 2)))
(* -1 (* x (- (* -1 (/ z x)) 2)))
(* -1 (* x (- (* -1 (/ z x)) 2)))
(* 2 x)
(+ z (* 2 x))
(+ z (* 2 x))
(+ z (* 2 x))
z
(* z (+ 1 (* 2 (/ x z))))
(* z (+ 1 (* 2 (/ x z))))
(* z (+ 1 (* 2 (/ x z))))
z
(* -1 (* z (- (* -2 (/ x z)) 1)))
(* -1 (* z (- (* -2 (/ x z)) 1)))
(* -1 (* z (- (* -2 (/ 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 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)))
(/ 1 (+ z (* 2 y)))
(+ (* -3 (/ x (pow (+ z (* 2 y)) 2))) (/ 1 (+ z (* 2 y))))
(+ (* x (- (* 9 (/ x (pow (+ z (* 2 y)) 3))) (* 3 (/ 1 (pow (+ z (* 2 y)) 2))))) (/ 1 (+ z (* 2 y))))
(+ (* x (- (* x (+ (* -27 (/ x (pow (+ z (* 2 y)) 4))) (* 9 (/ 1 (pow (+ z (* 2 y)) 3))))) (* 3 (/ 1 (pow (+ z (* 2 y)) 2))))) (/ 1 (+ z (* 2 y))))
(/ 1/3 x)
(/ (+ 1/3 (* -1/9 (/ (+ z (* 2 y)) x))) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow (+ z (* 2 y)) 2) (pow x 2)))) (* 1/9 (/ (+ z (* 2 y)) x))) x)
(/ (- (+ 1/3 (* -1/81 (/ (pow (+ z (* 2 y)) 3) (pow x 3)))) (+ (* -1/27 (/ (pow (+ z (* 2 y)) 2) (pow x 2))) (* 1/9 (/ (+ z (* 2 y)) x)))) x)
(/ 1/3 x)
(* -1 (/ (- (* 1/9 (/ (+ z (* 2 y)) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow (+ z (* 2 y)) 2) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow (+ z (* 2 y)) 3) x)) (* 1/27 (pow (+ z (* 2 y)) 2))) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x))
(/ 1 (+ x (+ z (* 2 x))))
(+ (* -2 (/ y (pow (+ x (+ z (* 2 x))) 2))) (/ 1 (+ x (+ z (* 2 x)))))
(+ (* y (- (* 4 (/ y (pow (+ x (+ z (* 2 x))) 3))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x)))))
(+ (* y (- (* y (+ (* -8 (/ y (pow (+ x (+ z (* 2 x))) 4))) (* 4 (/ 1 (pow (+ x (+ z (* 2 x))) 3))))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x)))))
(/ 1/2 y)
(/ (+ 1/2 (* -1/4 (/ (+ x (+ z (* 2 x))) y))) y)
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2)))) (* 1/4 (/ (+ x (+ z (* 2 x))) y))) y)
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ x (+ z (* 2 x))) 3) (pow y 3)))) (+ (* -1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2))) (* 1/4 (/ (+ x (+ z (* 2 x))) y)))) y)
(/ 1/2 y)
(* -1 (/ (- (* 1/4 (/ (+ x (+ z (* 2 x))) y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ x (+ z (* 2 x))) 3) y)) (* 1/8 (pow (+ x (+ z (* 2 x))) 2))) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y))
(/ 1 (+ x (* 2 (+ x y))))
(+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 2))) (/ 1 (+ x (* 2 (+ x y)))))
(+ (* z (- (/ z (pow (+ x (* 2 (+ x y))) 3)) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y)))))
(+ (* z (- (* z (+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 4))) (/ 1 (pow (+ x (* 2 (+ x y))) 3)))) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y)))))
(/ 1 z)
(/ (+ 1 (* -1 (/ (+ x (* 2 (+ x y))) z))) z)
(/ (- (+ 1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z))) z)
(/ (- (+ 1 (* -1 (/ (pow (+ x (* 2 (+ x y))) 3) (pow z 3)))) (+ (* -1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z)))) z)
(/ 1 z)
(* -1 (/ (- (+ (* 2 (/ (+ x y) z)) (/ x z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 2) z) (+ x (* 2 (+ x y)))) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 3) z) (pow (+ x (* 2 (+ x y))) 2)) z)) (+ x (* 2 (+ x y)))) z)) 1) z))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)

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

rewrite402.0ms (6%)

Memory

15.1MiB live, 356.1MiB allocated

Rules

5 470×	`lower-fma.f32`
5 468×	`lower-fma.f64`
4 348×	`lower-/.f32`
4 344×	`lower-/.f64`
3 922×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	65
0	26	65
1	143	65
2	1159	65
0	8189	63

Stop Event

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

Counts

7 → 148

Calls

Call 1

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

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

eval149.0ms (2.2%)

Memory: -11.5MiB live, 93.8MiB allocated
Compiler: Compiled 6 028 to 622 computations (89.7% saved)

prune134.0ms (2%)

Memory

-24.2MiB live, 54.0MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	318	0	318
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	318	8	326

Accuracy

100.0%

Counts

326 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (+ (* 2 (+ x y)) z))) (/.f64 #s(literal 1/3 binary64) x)))
✓	74.1%	(+.f64 (fma.f64 #s(literal 2 binary64) y x) #s(approx (+ (+ x z) x) (*.f64 x #s(literal 2 binary64))))
✓	47.5%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
✓	58.9%	#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (fma.f64 x #s(literal 3 binary64) z))
✓	74.1%	#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
✓	33.4%	#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (*.f64 x #s(literal 3 binary64)))
✓	67.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
✓	42.7%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

Compiler

Compiled 178 to 78 computations (56.2% saved)

regimes22.0ms (0.3%)

Memory

31.3MiB live, 31.3MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes68.0ms (1%)

Memory

-17.0MiB live, 26.3MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

55.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
4.0ms	z
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
91.4%	3	`x`
90.1%	4	`y`
89.8%	3	`z`
79.6%	4	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes11.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB 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 2 binary64) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (*.f64 x #s(literal 3 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z))
#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (fma.f64 x #s(literal 3 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)

Outputs

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

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

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

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
86.5%	3	`y`
72.6%	3	`z`
84.5%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes53.0ms (0.8%)

Memory

-28.9MiB live, 9.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

50.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
80.2%	3	`x`
71.7%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB 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 2 binary64) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z)))) (*.f64 x #s(literal 3 binary64)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
60.9%	3	`y`
47.9%	3	`z`
46.4%	3	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
58.6%	3	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes6.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
42.7%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
42.7%	1	`z`
42.7%	1	`x`
42.7%	1	`y`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch75.0ms (1.1%)

Memory

-0.8MiB live, 38.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.266860770712145e-38	2.666178687157725e-26
60.0ms	-4344099481820018700.0	-16119691141250.496

Samples

49.0ms	15×	1	valid
12.0ms	287×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 397 to 261 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-add: 54.0ms (98.5% of total)

adjust: 1.0ms (1.8% of total)

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

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

bsearch18.0ms (0.3%)

Memory

-18.3MiB live, 19.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2285140776.990261	98935874930140.9
3.0ms	-1.1478263657025947e+114	-1.023317781232622e+114

Samples

9.0ms	148×	0	valid
1.0ms	5×	2	valid
1.0ms	7×	1	valid

Compiler

Compiled 197 to 134 computations (32% saved)

Precisions

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

ival-add: 4.0ms (89.2% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch21.0ms (0.3%)

Memory

23.0MiB live, 23.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.811774807842181e+177	4.0127798167961935e+181
8.0ms	-1.1173783533588388e+20	-8.7955661040196e+18

Samples

9.0ms	212×	0	valid
1.0ms	6×	1	valid
1.0ms	4×	2	valid
0.0ms	2×	3	valid

Compiler

Compiled 255 to 182 computations (28.6% saved)

Precisions

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

ival-add: 5.0ms (84.7% of total)

adjust: 1.0ms (16.9% of total)

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

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

bsearch41.0ms (0.6%)

Memory

-34.5MiB live, 9.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2285140776.990261	98935874930140.9
12.0ms	-66931.38315080944	-0.4606749360727619

Samples

6.0ms	136×	0	valid
1.0ms	4×	2	valid
0.0ms	4×	1	valid

Compiler

Compiled 289 to 201 computations (30.4% saved)

Precisions

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

ival-add: 3.0ms (79.5% of total)

adjust: 0.0ms (0% of total)

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

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

simplify8.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	249
1	54	249

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(if (<=.f64 x #s(literal -850000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) (if (<=.f64 x #s(literal 7387121847013269/696898287454081973172991196020261297061888 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))))
(if (<=.f64 y #s(literal -1059999999999999934471078917871906441755459963825523918628103156761217442068243305087647043333353173655034519355392 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 y #s(literal 42000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))))
(if (<=.f64 x #s(literal -110000000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 145000000000000009403092692705689692458585505313623750401087837348878549844231152570138906316469083559452781669601859438493872577771073089483424742626309056044751224717816818040832 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 x #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -520 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 42000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64))) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 x (+.f64 (+.f64 x (+.f64 y (+.f64 x y))) z))
(if (<=.f64 x #s(literal -850000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) (if (<=.f64 x #s(literal 7387121847013269/696898287454081973172991196020261297061888 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))))
(if (<=.f64 x #s(literal -850000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (if (<=.f64 x #s(literal 7387121847013269/696898287454081973172991196020261297061888 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))))
(if (<=.f64 y #s(literal -1059999999999999934471078917871906441755459963825523918628103156761217442068243305087647043333353173655034519355392 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 y #s(literal 42000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))))
(if (<=.f64 x #s(literal -110000000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 145000000000000009403092692705689692458585505313623750401087837348878549844231152570138906316469083559452781669601859438493872577771073089483424742626309056044751224717816818040832 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 x #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -520 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 42000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 x #s(literal 3 binary64))) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

soundness738.0ms (11%)

Memory

20.8MiB live, 344.8MiB allocated

Rules

10 710×	`lower-fma.f64`
10 710×	`lower-fma.f32`
4 444×	`lower-fma.f32`
4 438×	`lower-fma.f64`
3 818×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	764
1	343	762
2	900	762
3	2801	762
4	6719	762
0	8258	658
0	25	127
0	38	130
1	223	109
2	2429	109
0	8784	109

Stop Event

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

Compiler

Compiled 184 to 93 computations (49.5% saved)

preprocess41.0ms (0.6%)

Memory: 0.1MiB live, 113.8MiB allocated
Compiler: Compiled 246 to 90 computations (63.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (15.8%)

explain384.0ms (5.7%)

preprocess341.0ms (5.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize25.0ms (0.4%)

series7.0ms (0.1%)

simplify231.0ms (3.4%)

rewrite264.0ms (3.9%)

eval153.0ms (2.3%)

prune131.0ms (2%)

simplify17.0ms (0.2%)

localize82.0ms (1.2%)

series26.0ms (0.4%)

simplify292.0ms (4.3%)

rewrite361.0ms (5.4%)

eval312.0ms (4.7%)

prune199.0ms (3%)

simplify19.0ms (0.3%)

localize77.0ms (1.2%)

series14.0ms (0.2%)

simplify230.0ms (3.4%)

rewrite251.0ms (3.7%)

eval46.0ms (0.7%)

prune37.0ms (0.6%)

simplify11.0ms (0.2%)

localize56.0ms (0.8%)

series8.0ms (0.1%)

simplify272.0ms (4.1%)

rewrite402.0ms (6%)

eval149.0ms (2.2%)

prune134.0ms (2%)

regimes22.0ms (0.3%)

regimes68.0ms (1%)

regimes11.0ms (0.2%)

regimes53.0ms (0.8%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch75.0ms (1.1%)

bsearch18.0ms (0.3%)

bsearch21.0ms (0.3%)

bsearch41.0ms (0.6%)

simplify8.0ms (0.1%)

soundness738.0ms (11%)

preprocess41.0ms (0.6%)

end0.0ms (0%)

Profiling