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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample882.0ms (19%)

Memory

3.1MiB live, 1 615.1MiB allocated

Samples

425.0ms	7 663×	0	valid
105.0ms	359×	1	valid
45.0ms	168×	2	valid
41.0ms	66×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 359.0ms

ival-add: 315.0ms (87.7% of total)

adjust: 36.0ms (10% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain96.0ms (2.1%)

Memory

11.1MiB live, 210.8MiB 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	472×	0	valid
3.0ms	14×	2	valid
3.0ms	22×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 129 to 36 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 13.0ms (85.3% of total)

adjust: 2.0ms (13.1% of total)

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

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

preprocess330.0ms (7.1%)

Memory

19.3MiB live, 57.5MiB 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 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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 11 to 8 computations (27.3% saved)

simplify33.0ms (0.7%)

Memory

-33.4MiB live, 47.5MiB 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 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+.f64 (+.f64 (+.f64 x y) y) x)
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+.f64 (+.f64 x y) y)
(fma.f64 #s(literal 2 binary64) y x)
(+.f64 x y)
(+.f64 y x)
x
y
z

localize21.0ms (0.5%)

Memory

11.6MiB live, 51.1MiB 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	0.03125	(+.f64 (+.f64 x y) y)
accuracy	0.0625	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Samples

13.0ms	236×	0	valid
1.0ms	11×	1	valid
1.0ms	7×	2	valid
0.0ms	2×	3	valid

Compiler

Compiled 40 to 10 computations (75% saved)

Precisions

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

ival-add: 7.0ms (87.2% of total)

adjust: 1.0ms (12.5% of total)

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

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

series8.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

5 → 144

Calls

Call 1

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

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

Calls

9 calls:

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

simplify116.0ms (2.5%)

Memory

-6.9MiB live, 162.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	764
1	343	762
2	900	762
3	2786	762
4	6677	762
0	8202	658

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 131

Calls

Call 1

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

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

rewrite183.0ms (3.9%)

Memory

-19.2MiB live, 334.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 593

Calls

Call 1

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

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

eval116.0ms (2.5%)

Memory: 11.8MiB live, 248.9MiB allocated
Compiler: Compiled 23 039 to 2 484 computations (89.2% saved)

prune96.0ms (2.1%)

Memory

20.9MiB live, 219.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	718	6	724
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	719	6	725

Accuracy

100.0%

Counts

725 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.5%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
▶	69.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
	63.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
▶	66.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
▶	33.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
▶	31.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 62 to 78 computations (-25.8% saved)

simplify11.0ms (0.2%)

Memory

-23.2MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

270×	`lower-+.f32`
268×	`lower-+.f64`
254×	`associate-+r+`
122×	`associate-+l+`
104×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	120
0	25	120
1	43	108
2	87	108
3	184	104
4	278	104
5	282	104
0	282	98

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (0.9%)

Memory

-1.7MiB live, 77.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.0625	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
accuracy	42.31606161509562	#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(fma.f64 #s(literal 3 binary64) x z)
accuracy	21.4201699722949	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	42.32796770112689	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	43.669306443354934	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
accuracy	0	(fma.f64 y #s(literal 2 binary64) z)
accuracy	19.59957420275321	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))

Samples

28.0ms	231×	0	valid
3.0ms	11×	2	valid
2.0ms	9×	1	valid
2.0ms	5×	3	valid

Compiler

Compiled 98 to 16 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 9.0ms (63.1% of total)

ival-mult: 3.0ms (21% of total)

adjust: 2.0ms (14% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

10 → 288

Calls

Call 1

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

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

Calls

9 calls:

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

simplify159.0ms (3.4%)

Memory

-5.5MiB live, 148.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 916×	`lower-fma.f64`
13 916×	`lower-fma.f32`
3 152×	`lower-*.f64`
3 152×	`lower-*.f32`
1 490×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1864
1	314	1864
2	837	1864
3	2353	1864
4	5392	1864
0	8260	1514

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 270

Calls

Call 1

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

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

rewrite292.0ms (6.3%)

Memory

-1.3MiB live, 158.2MiB allocated

Rules

5 138×	`lower-*.f32`
5 134×	`lower-*.f64`
4 382×	`lower-fma.f32`
4 378×	`lower-fma.f64`
4 088×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	104
0	25	104
1	127	92
2	1246	92
0	8696	86

Stop Event

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

Counts

10 → 91

Calls

Call 1

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

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

eval57.0ms (1.2%)

Memory: -18.4MiB live, 55.8MiB allocated
Compiler: Compiled 3 975 to 350 computations (91.2% saved)

prune17.0ms (0.4%)

Memory

27.0MiB live, 27.0MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	378	3	381
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	380	7	387

Accuracy

100.0%

Counts

387 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.5%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
▶	63.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
✓	69.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
▶	63.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
✓	66.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
▶	33.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓	31.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 38 to 44 computations (-15.8% saved)

simplify8.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

278×	`associate-+r+`
270×	`lower-+.f32`
264×	`lower-+.f64`
136×	`associate-+l+`
104×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	113
0	28	113
1	50	100
2	104	100
3	231	100
4	312	100
5	318	100
0	318	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize105.0ms (2.2%)

Memory

-39.1MiB live, 48.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0.0625	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
accuracy	42.31606161509562	#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
accuracy	0	(+.f64 y x)
accuracy	0.09765625	(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
accuracy	23.120878677049088	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
accuracy	0	(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	23.120878677049088	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
accuracy	0	(+.f64 y y)
accuracy	42.32796770112689	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

Samples

35.0ms	228×	0	valid
3.0ms	16×	1	valid
3.0ms	6×	3	valid
2.0ms	6×	2	valid

Compiler

Compiled 91 to 19 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 17.0ms (54.9% of total)

ival-add: 11.0ms (35.5% of total)

adjust: 2.0ms (6.5% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

10 → 276

Calls

Call 1

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

Calls

9 calls:

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

simplify300.0ms (6.4%)

Memory

5.2MiB live, 162.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 636×	`lower-fma.f64`
12 636×	`lower-fma.f32`
3 300×	`lower-*.f64`
3 300×	`lower-*.f32`
1 474×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1742
1	345	1734
2	926	1734
3	2990	1734
4	6703	1734
0	8234	1441

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 260

Calls

Call 1

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

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

rewrite316.0ms (6.8%)

Memory

20.8MiB live, 215.9MiB allocated

Rules

5 592×	`lower-*.f32`
5 590×	`lower-*.f64`
4 184×	`lower-fma.f32`
4 180×	`lower-fma.f64`
4 000×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	100
0	28	100
1	150	87
2	1670	87
0	8250	85

Stop Event

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

Counts

10 → 343

Calls

Call 1

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

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

eval175.0ms (3.8%)

Memory: -54.3MiB live, 180.0MiB allocated
Compiler: Compiled 8 200 to 1 178 computations (85.6% saved)

prune68.0ms (1.5%)

Memory

-8.3MiB live, 148.6MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	709	1	710
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	711	6	717

Accuracy

100.0%

Counts

717 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.5%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
✓	69.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
▶	63.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
✓	66.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
✓	33.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓	31.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 31 to 36 computations (-16.1% saved)

simplify7.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

266×	`lower-+.f32`
264×	`lower-+.f64`
250×	`associate-+r+`
134×	`associate-+l+`
104×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
0	15	30
1	33	28
2	80	28
3	169	27
4	273	27
5	279	27
0	279	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.6%)

Memory

2.4MiB live, 46.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	23.120878677049088	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))

Samples

18.0ms	228×	0	valid
2.0ms	16×	1	valid
2.0ms	6×	3	valid
1.0ms	6×	2	valid

Compiler

Compiled 26 to 14 computations (46.2% saved)

Precisions

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

ival-add: 12.0ms (75.3% of total)

adjust: 2.0ms (12.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

10.0MiB live, 9.9MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

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

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

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

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

Calls

9 calls:

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

simplify141.0ms (3%)

Memory

-15.5MiB live, 181.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 586×	`lower-fma.f64`
13 586×	`lower-fma.f32`
3 344×	`lower-*.f64`
3 344×	`lower-*.f32`
1 638×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	456
1	202	454
2	547	454
3	1503	454
4	3675	454
0	8332	379

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

rewrite162.0ms (3.5%)

Memory

4.0MiB live, 237.2MiB allocated

Rules

6 214×	`lower-fma.f32`
6 212×	`lower-fma.f64`
5 186×	`lower-*.f64`
5 186×	`lower-*.f32`
4 054×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
0	15	27
1	105	25
2	1182	25
0	8657	24

Stop Event

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

Counts

3 → 151

Calls

Call 1

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

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

eval27.0ms (0.6%)

Memory: 11.9MiB live, 60.2MiB allocated
Compiler: Compiled 2 971 to 585 computations (80.3% saved)

prune26.0ms (0.6%)

Memory

-15.6MiB live, 61.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	221	6	227

Accuracy

100.0%

Counts

227 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.5%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
✓	69.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
✓	63.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
✓	66.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
✓	33.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓	31.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 97 to 67 computations (30.9% saved)

regimes18.0ms (0.4%)

Memory

0.7MiB live, 39.4MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes18.0ms (0.4%)

Memory

-8.6MiB live, 34.6MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
90.7%	3	`x`
89.1%	3	`y`
89.0%	3	`z`
74.1%	2	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes7.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
70.0%	3	`z`
80.0%	3	`y`
73.4%	5	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes9.0ms (0.2%)

Memory

-18.0MiB live, 21.1MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

3.0ms	z
2.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
38.3%	3	`z`
54.9%	3	`x`
38.4%	2	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
50.8%	3	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
33.9%	1	`z`
33.9%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
33.9%	1	`y`
33.9%	1	`x`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch31.0ms (0.7%)

Memory

-11.3MiB live, 66.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.404646837011469e-62	7.456227082140859e-54
15.0ms	-3.528533503675809e+86	-1.9420325694816333e+80

Samples

11.0ms	251×	0	valid
3.0ms	25×	1	valid
2.0ms	11×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 194 to 266 computations (-37.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 7.0ms (71.9% of total)

adjust: 2.0ms (20.5% of total)

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

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

bsearch28.0ms (0.6%)

Memory

10.8MiB live, 52.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.283173280889972e+145	8.021746103677488e+150
12.0ms	-8.604106230599444e+89	-4.27204003748374e+80

Samples

12.0ms	278×	0	valid
1.0ms	7×	1	valid
0.0ms	3×	2	valid

Compiler

Compiled 176 to 248 computations (-40.9% saved)

Precisions

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

ival-add: 6.0ms (84.6% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch19.0ms (0.4%)

Memory

-1.7MiB live, 37.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.404646837011469e-62	7.456227082140859e-54
16.0ms	-6.245028850364738e+68	-6.974165348965055e+43

Samples

8.0ms	165×	0	valid
1.0ms	9×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 174 to 274 computations (-57.5% saved)

Precisions

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

ival-add: 4.0ms (84.3% of total)

adjust: 0.0ms (0% of total)

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

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

simplify24.0ms (0.5%)

Memory

19.0MiB live, 58.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative-binary64-+.f64`
2×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	189
1	45	189

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(if (<=.f64 x #s(literal -44000000000000002433891048848496895728571693244148299337765264292165052772330242048 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 4831222442753395/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))))
(if (<=.f64 y #s(literal -89999999999999993336618357284149193565867403150008275938480221773272218375934705664 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 254999999999999986936141375645953001916252764837680280759781718856967350445173297876764067221409756330839704838034768828766225173963641254535241924608 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))))
(if (<=.f64 x #s(literal -1949999999999999973946141117814397509826510848 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 4831222442753395/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (+.f64 z (+.f64 (+.f64 (+.f64 y x) y) x)) x)
(if (<=.f64 x #s(literal -44000000000000002433891048848496895728571693244148299337765264292165052772330242048 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 4831222442753395/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))))
(if (<=.f64 y #s(literal -89999999999999993336618357284149193565867403150008275938480221773272218375934705664 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 254999999999999986936141375645953001916252764837680280759781718856967350445173297876764067221409756330839704838034768828766225173963641254535241924608 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))))
(if (<=.f64 x #s(literal -1949999999999999973946141117814397509826510848 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 4831222442753395/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

soundness542.0ms (11.6%)

Memory

4.6MiB live, 363.5MiB allocated

Rules

10 710×	`lower-fma.f64`
10 710×	`lower-fma.f32`
5 138×	`lower-*.f32`
5 134×	`lower-*.f64`
4 382×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	104
0	25	104
1	127	92
2	1246	92
0	8696	86
0	113	764
1	343	762
2	900	762
3	2786	762
4	6677	762
0	8202	658

Stop Event

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

Compiler

Compiled 115 to 87 computations (24.3% saved)

preprocess96.0ms (2.1%)

Memory: -28.1MiB live, 90.9MiB allocated
Compiler: Compiled 180 to 84 computations (53.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample882.0ms (19%)

explain96.0ms (2.1%)

preprocess330.0ms (7.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.7%)

localize21.0ms (0.5%)

series8.0ms (0.2%)

simplify116.0ms (2.5%)

rewrite183.0ms (3.9%)

eval116.0ms (2.5%)

prune96.0ms (2.1%)

simplify11.0ms (0.2%)

localize43.0ms (0.9%)

series14.0ms (0.3%)

simplify159.0ms (3.4%)

rewrite292.0ms (6.3%)

eval57.0ms (1.2%)

prune17.0ms (0.4%)

simplify8.0ms (0.2%)

localize105.0ms (2.2%)

series13.0ms (0.3%)

simplify300.0ms (6.4%)

rewrite316.0ms (6.8%)

eval175.0ms (3.8%)

prune68.0ms (1.5%)

simplify7.0ms (0.2%)

localize30.0ms (0.6%)

series5.0ms (0.1%)

simplify141.0ms (3%)

rewrite162.0ms (3.5%)

eval27.0ms (0.6%)

prune26.0ms (0.6%)

regimes18.0ms (0.4%)

regimes18.0ms (0.4%)

regimes7.0ms (0.2%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch31.0ms (0.7%)

bsearch28.0ms (0.6%)

bsearch19.0ms (0.4%)

simplify24.0ms (0.5%)

soundness542.0ms (11.6%)

preprocess96.0ms (2.1%)

end0.0ms (0%)

Profiling