Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 11 to 9 computations (18.2% saved)

sample1.1s (27.6%)

Memory

-96.5MiB live, 1 209.0MiB allocated

Samples

664.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 312.0ms

ival-mult: 187.0ms (59.9% of total)

ival-sub: 112.0ms (35.9% of total)

ival-true: 6.0ms (1.9% of total)

exact: 4.0ms (1.3% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain78.0ms (1.9%)

Memory

10.3MiB live, 208.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
16	-	-	`(-.f64 (.f64 x x) (.f64 x y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 x y))`	nan-rescue	16	0
↳	`(*.f64 x x)`	overflow	61
↳	`(*.f64 x y)`	overflow	33

Confusion

	Predicted +	Predicted -
+	16	0
-	0	240

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	16	0	0
-	0	0	240

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	240
1	16

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 65 to 25 computations (61.5% saved)

Precisions

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

ival-mult: 11.0ms (79.9% of total)

ival-sub: 2.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess62.0ms (1.5%)

Memory

5.9MiB live, 84.9MiB allocated

Algorithm

1×	egg-herbie

Rules

672×	`lower-fma.f64`
672×	`lower-fma.f32`
408×	`lower-*.f32`
402×	`lower-*.f64`
324×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	70	35
2	169	35
3	556	35
4	1118	35
5	1440	35
6	1562	35
7	1562	35
8	1562	35
0	7	9
0	11	7
1	20	7
2	44	7
3	95	7
4	173	7
5	233	7
6	383	7
7	551	7
8	756	7
9	806	7
0	806	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.7%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify34.0ms (0.8%)

Memory

-9.6MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
cost-diff	320	(-.f64 (.f64 x x) (.f64 x y))

Rules

672×	`lower-fma.f64`
672×	`lower-fma.f32`
408×	`lower-*.f32`
402×	`lower-*.f64`
140×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
#s(literal 2 binary64)
(-.f64 (.f64 x x) (.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y

Outputs
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))
#s(literal 2 binary64)
(-.f64 (.f64 x x) (.f64 x y))
(*.f64 x (-.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y

localize21.0ms (0.5%)

Memory

-29.7MiB live, 49.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
accuracy	3.550766800811441	(-.f64 (.f64 x x) (.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-mult: 5.0ms (81.5% of total)

ival-sub: 1.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x x) (.f64 x y)) (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())

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

Calls

21 calls:

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

simplify282.0ms (7%)

Memory

-0.4MiB live, 152.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 292×	`lower-fma.f64`
5 292×	`lower-fma.f32`
3 234×	`lower-*.f64`
3 234×	`lower-*.f32`
1 098×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	411
1	132	411
2	315	411
3	1121	375
4	3468	375
5	5520	375
6	6522	375
0	8010	375

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite406.0ms (10%)

Memory

-1.8MiB live, 433.4MiB allocated

Rules

9 644×	`lower-fma.f64`
9 644×	`lower-fma.f32`
4 364×	`lower-/.f64`
4 364×	`lower-/.f32`
3 768×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	34	18
2	235	18
3	2204	18
0	8785	18

Stop Event

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

Counts

4 → 304

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 x y))
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
(*.f64 x x)
(*.f64 x y)

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

eval84.0ms (2.1%)

Memory: 4.8MiB live, 77.6MiB allocated
Compiler: Compiled 15 927 to 1 076 computations (93.2% saved)

prune85.0ms (2.1%)

Memory

21.8MiB live, 71.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	384	4	388
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	385	4	389

Accuracy

100.0%

Counts

389 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
▶	97.3%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
▶	60.5%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
▶	58.3%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))

Compiler

Compiled 36 to 23 computations (36.1% saved)

simplify32.0ms (0.8%)

Memory

-17.8MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(-.f64 x y)
cost-diff	0	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
cost-diff	320	(fma.f64 (neg.f64 y) x (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) (* x y)) (*.f64 x x))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
cost-diff	0	(*.f64 y #s(literal -2 binary64))
cost-diff	0	(.f64 x (.f64 y #s(literal -2 binary64)))
cost-diff	0	#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))

Rules

672×	`lower-fma.f32`
670×	`lower-fma.f64`
412×	`lower-*.f32`
398×	`lower-*.f64`
172×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	95
0	31	85
1	65	85
2	108	85
3	182	85
4	305	85
5	501	85
6	755	85
7	831	85
8	831	85
0	831	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))
(.f64 x (.f64 y #s(literal -2 binary64)))
x
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
#s(literal 2 binary64)
#s(approx (- (* x x) (* x y)) (*.f64 x x))
(*.f64 x x)
x
(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
#s(literal 2 binary64)
(fma.f64 (neg.f64 y) x (*.f64 x x))
(neg.f64 y)
y
x
(*.f64 x x)
(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
(-.f64 x y)
x
y
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))
(.f64 x (.f64 y #s(literal -2 binary64)))
x
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
#s(literal 2 binary64)
#s(approx (- (* x x) (* x y)) (*.f64 x x))
(*.f64 x x)
x
(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))
#s(literal 2 binary64)
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (-.f64 x y))
(neg.f64 y)
y
x
(*.f64 x x)
(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))
(-.f64 x y)
x
y
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize302.0ms (7.5%)

Memory

-3.3MiB live, 72.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.0078125	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
accuracy	0	(neg.f64 y)
accuracy	1.7499807332389217	(fma.f64 (neg.f64 y) x (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
accuracy	25.239724412650652	#s(approx (- (* x x) (* x y)) (*.f64 x x))
accuracy	0	(*.f64 y #s(literal -2 binary64))
accuracy	0	(.f64 x (.f64 y #s(literal -2 binary64)))
accuracy	26.69338589869796	#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))

Samples

31.0ms

256×

valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 14.0ms (74.2% of total)

ival-sub: 2.0ms (10.6% of total)

ival-add: 1.0ms (5.3% of total)

ival-neg: 1.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

12 → 240

Calls

Call 1

Inputs
#s(alt #s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64)))) (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 y #s(literal -2 binary64))) (patch (.f64 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 (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (- (* x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* x y)) (.f64 x x)) (patch #s(approx (- ( x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) x (.f64 x x)) (patch (fma.f64 (neg.f64 y) x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64))) (patch (.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())

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

Calls

60 calls:

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

simplify354.0ms (8.7%)

Memory

-6.8MiB live, 141.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 300×	`lower-fma.f64`
5 300×	`lower-fma.f32`
3 484×	`lower-*.f64`
3 484×	`lower-*.f32`
1 414×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	1305
1	202	1305
2	484	1305
3	1579	1161
4	3652	1161
5	5382	1161
6	6982	1161
0	8144	1161

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 237

Calls

Call 1

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

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

rewrite286.0ms (7.1%)

Memory

-1.0MiB live, 261.9MiB allocated

Rules

5 262×	`lower-fma.f32`
5 260×	`lower-fma.f64`
3 598×	`lower-*.f32`
3 584×	`lower-*.f64`
1 998×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	81
0	31	71
1	99	71
2	596	71
3	6310	70
0	8998	70

Stop Event

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

Counts

12 → 573

Calls

Call 1

Inputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))
(.f64 x (.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
#s(approx (- (* x x) (* x y)) (*.f64 x x))
(*.f64 x x)
(fma.f64 (neg.f64 y) x (*.f64 x x))
(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
(neg.f64 y)
(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
(-.f64 x y)
(*.f64 x #s(literal 2 binary64))

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

eval95.0ms (2.3%)

Memory: 15.0MiB live, 197.4MiB allocated
Compiler: Compiled 17 545 to 1 290 computations (92.6% saved)

prune91.0ms (2.2%)

Memory

-16.2MiB live, 185.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	831	0	831
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	831	4	835

Accuracy

100.0%

Counts

835 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
✓	97.3%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
✓	60.5%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
✓	58.3%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))

Compiler

Compiled 75 to 40 computations (46.7% saved)

regimes11.0ms (0.3%)

Memory

-10.5MiB live, 31.0MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))
(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))

Outputs
(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))

Calls

4 calls:

4.0ms	x
2.0ms	y
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
2.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes7.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

2.0ms	y
2.0ms	(-.f64 (.f64 x x) (.f64 x y))
1.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	x

Results

Accuracy	Segments	Branch
80.2%	3	`x`
90.4%	3	`y`
79.2%	2	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
79.2%	2	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes6.0ms (0.2%)

Memory

-22.1MiB live, 16.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
58.3%	1	`x`
58.3%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
58.3%	1	`(-.f64 (.f64 x x) (.f64 x y))`
58.3%	1	`y`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch24.0ms (0.6%)

Memory

18.4MiB live, 56.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.482205590051636e-17	0.00027889956974079896
8.0ms	-4.7152850876982927e+27	-1.03835566990648e+27

Samples

11.0ms

256×

valid

Compiler

Compiled 302 to 204 computations (32.5% saved)

Precisions

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

ival-mult: 5.0ms (79.6% of total)

ival-sub: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify6.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	30	73
2	35	73
3	37	73
4	38	73

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))

(if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (if (<=.f64 y #s(literal 3984496719921263/73786976294838206464 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (- (* x x) (* x y)) (*.f64 x x))) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 x (*.f64 y #s(literal -2 binary64))))))

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

Outputs

(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))

(if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (if (<=.f64 y #s(literal 3984496719921263/73786976294838206464 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (- (* x x) (* x y)) (*.f64 x x))) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 x (*.f64 y #s(literal -2 binary64))))))

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

soundness611.0ms (15.1%)

Memory

-29.2MiB live, 227.2MiB allocated

Rules

9 644×	`lower-fma.f64`
9 644×	`lower-fma.f32`
5 292×	`lower-fma.f64`
5 292×	`lower-fma.f32`
4 364×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	411
1	132	411
2	315	411
3	1121	375
4	3468	375
5	5520	375
6	6522	375
0	8010	375
0	7	22
0	11	18
1	34	18
2	235	18
3	2204	18
0	8785	18

Stop Event

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

Compiler

Compiled 80 to 42 computations (47.5% saved)

preprocess33.0ms (0.8%)

Memory: -16.8MiB live, 99.1MiB allocated
Compiler: Compiled 122 to 60 computations (50.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	20	95
0	31	85
1	65	85
2	108	85
3	182	85
4	305	85
5	501	85
6	755	85
7	831	85
8	831	85
0	831	85

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	20	95
0	31	85
1	65	85
2	108	85
3	182	85
4	305	85
5	501	85
6	755	85
7	831	85
8	831	85
0	831	85

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (27.6%)

explain78.0ms (1.9%)

preprocess62.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.8%)

localize21.0ms (0.5%)

series6.0ms (0.2%)

simplify282.0ms (7%)

rewrite406.0ms (10%)

eval84.0ms (2.1%)

prune85.0ms (2.1%)

simplify32.0ms (0.8%)

localize302.0ms (7.5%)

series13.0ms (0.3%)

simplify354.0ms (8.7%)

rewrite286.0ms (7.1%)

eval95.0ms (2.3%)

prune91.0ms (2.2%)

regimes11.0ms (0.3%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch24.0ms (0.6%)

simplify6.0ms (0.2%)

soundness611.0ms (15.1%)

preprocess33.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	20	95
0	31	85
1	65	85
2	108	85
3	182	85
4	305	85
5	501	85
6	755	85
7	831	85
8	831	85
0	831	85