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)

sample857.0ms (25.8%)

Memory

-74.7MiB live, 1 043.9MiB allocated

Samples

550.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-mult: 168.0ms (73.9% of total)

ival-sub: 45.0ms (19.8% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain95.0ms (2.9%)

Memory

-33.1MiB live, 139.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(-.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	21	0
↳	`(*.f64 x x)`	overflow	69
↳	`(*.f64 x y)`	overflow	43

Confusion

	Predicted +	Predicted -
+	21	0
-	0	235

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	21	0	0
-	0	0	235

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	235
1	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 65 to 25 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (77.4% of total)

ival-sub: 2.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess73.0ms (2.2%)

Memory

4.4MiB live, 82.2MiB allocated

Algorithm

1×	egg-herbie

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
204×	`lower-*.f32`
201×	`lower-*.f64`
162×	`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 (-.f64 y x) (.f64 #s(literal -2 binary64) x))

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

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.8%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify28.0ms (0.8%)

Memory

3.0MiB live, 39.4MiB 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

336×	`lower-fma.f64`
336×	`lower-fma.f32`
204×	`lower-*.f32`
201×	`lower-*.f64`
70×	`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 (-.f64 y x) (.f64 #s(literal -2 binary64) x))
#s(literal 2 binary64)
(-.f64 (.f64 x x) (.f64 x y))
(*.f64 (-.f64 x y) x)
(*.f64 x x)
x
(*.f64 x y)
(*.f64 y x)
y

localize25.0ms (0.7%)

Memory

10.8MiB live, 48.4MiB 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	4.644512672471853	(-.f64 (.f64 x x) (.f64 x y))

Samples

18.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-mult: 6.0ms (53.6% of total)

ival-sub: 5.0ms (44.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

-20.5MiB live, 15.9MiB 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	x	@	0	(* 2 (- (* x x) (* x y)))

simplify116.0ms (3.5%)

Memory

30.8MiB live, 194.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2 646×	`lower-fma.f64`
2 646×	`lower-fma.f32`
1 617×	`lower-*.f64`
1 617×	`lower-*.f32`
549×	`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))
(*.f64 (neg.f64 y) x)
(* x (- x y))
(*.f64 (-.f64 x y) x)
(* x (- x y))
(*.f64 (-.f64 x y) x)
(* x (- x y))
(*.f64 (-.f64 x y) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 x y) x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 x y) x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 x y) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 x y) x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 x y) x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 x y) x)
(pow x 2)
(*.f64 x x)
(+ (* -1 (* x y)) (pow x 2))
(*.f64 (-.f64 x y) x)
(+ (* -1 (* x y)) (pow x 2))
(*.f64 (-.f64 x y) x)
(+ (* -1 (* x y)) (pow x 2))
(*.f64 (-.f64 x y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (pow x 2) y) x))
(*.f64 (-.f64 x y) x)
(* y (- (/ (pow x 2) y) x))
(*.f64 (-.f64 x y) x)
(* y (- (/ (pow x 2) y) x))
(*.f64 (-.f64 x y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(*.f64 (-.f64 x y) x)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(*.f64 (-.f64 x y) x)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(*.f64 (-.f64 x y) x)
(* -2 (* x y))
(.f64 (.f64 #s(literal -2 binary64) x) y)
(* x (+ (* -2 y) (* 2 x)))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* x (+ (* -2 y) (* 2 x)))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* x (+ (* -2 y) (* 2 x)))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* 2 (pow x 2))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* 2 (pow x 2))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* 2 (pow x 2))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* -2 (* x y))
(.f64 (.f64 #s(literal -2 binary64) x) y)
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* -2 (* x y))
(.f64 (.f64 #s(literal -2 binary64) x) y)
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 y 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)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite465.0ms (14%)

Memory

-40.3MiB live, 287.3MiB allocated

Rules

4 822×	`lower-fma.f64`
4 822×	`lower-fma.f32`
2 182×	`lower-/.f64`
2 182×	`lower-/.f32`
1 884×	`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 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 x x) (.f64 (.f64 (.f64 (.f64 y x) x) (.f64 (.f64 y y) x)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 x x) (.f64 (.f64 (.f64 (.f64 y x) x) (.f64 (.f64 y y) x)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)))))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) x) (.f64 (.f64 (.f64 x x) (fma.f64 x x (.f64 y y))) (.f64 (.f64 (+.f64 y x) x) (.f64 (-.f64 x y) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x x (.f64 y y)))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) x) (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y x) x) y) (.f64 (.f64 x x) (fma.f64 x x (.f64 y y))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x))))
(.f64 (pow.f64 (/.f64 x (.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y x) x) (+.f64 y x))))) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (*.f64 y x) x) (+.f64 y x))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) x)) (.f64 (+.f64 y x) x)) (.f64 (.f64 (.f64 y x) x) (.f64 (.f64 y y) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 y x) x) (+.f64 y x)) (-.f64 (.f64 (.f64 (.f64 y x) x) (+.f64 y x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 y x) (.f64 (.f64 (+.f64 y x) x) (.f64 (-.f64 x y) x))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 (-.f64 x y) x)) (.f64 (.f64 (+.f64 y x) x) (.f64 (-.f64 x y) x))) (.f64 (-.f64 x y) x))
(.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 (-.f64 x y) x)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (.f64 (.f64 (*.f64 x x) x) x)))
(.f64 (/.f64 (.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) x)) (.f64 (.f64 (+.f64 y x) x) (*.f64 (-.f64 x y) x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) x))
(.f64 (.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (-.f64 x y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 y x))))
(.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)))))
(*.f64 (-.f64 x y) x)
(.f64 (.f64 (+.f64 y x) x) (/.f64 (.f64 (-.f64 x y) x) (.f64 (+.f64 y x) x)))
(.f64 (.f64 (+.f64 y x) x) (.f64 (.f64 (-.f64 x y) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x))))
(.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 (-.f64 x y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x)))
(.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (-.f64 x y) x) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x))))
(.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (-.f64 x y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (*.f64 x x) x) x)))))
(.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x))))
(*.f64 x (-.f64 x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 y x) x) (.f64 (.f64 y y) x))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 y x) x) y (.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (.f64 y x) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 y x) (.f64 x x)) (-.f64 (.f64 y x) (.f64 x x)) (.f64 #s(literal 0 binary64) (-.f64 (.f64 y x) (*.f64 x x))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (+.f64 y x))) (.f64 (.f64 x x) (/.f64 x (+.f64 y x)))) (.f64 (.f64 x x) (/.f64 x (+.f64 y x))) (pow.f64 (neg.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) (/.f64 x (+.f64 y x))) (.f64 (.f64 x x) (/.f64 x (+.f64 y x))) (-.f64 (.f64 (neg.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 y x)))) (neg.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 y x))))) (.f64 (.f64 (.f64 x x) (/.f64 x (+.f64 y x))) (neg.f64 (.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x))))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)))) (.f64 (.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x))))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)))))) (.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)))))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x))))
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(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (*.f64 x x) x) x))))
(.f64 (.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 (-.f64 x y) x)) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 y x) x)))
(.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 (-.f64 x y) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) x)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x))))
(.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (*.f64 x x) x) x))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 x (.f64 (-.f64 x y) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 y x) x) (.f64 (.f64 y y) x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 y x)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))) x)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (-.f64 x y) x)) #s(literal 2 binary64))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (-.f64 x y) x)))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 y x))))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 y x) x) (.f64 (.f64 y y) x))))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 y x))) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (*.f64 y x)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)))))
(/.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))) x) (+.f64 y x))
(/.f64 (.f64 (.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (-.f64 x y) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (-.f64 x y) x))) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))))) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 y x)))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 y x) x) (.f64 (.f64 y y) x)))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 y x))) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (*.f64 y x))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x)))) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))) (*.f64 (+.f64 y x) x))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (/.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (.f64 (.f64 (neg.f64 x) (+.f64 y x)) (*.f64 (-.f64 x y) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) (+.f64 y x)) (*.f64 (-.f64 x y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (.f64 (.f64 (.f64 x x) x) x))) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 y x))) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x))))) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 y x) x) (.f64 (*.f64 y y) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) x)))
(fma.f64 #s(literal -2 binary64) (.f64 y x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) x (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) y (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 y) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(fma.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) y) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) y) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 y (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 x (.f64 (neg.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x)))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 y x))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x)))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 x) (.f64 x x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 x x) x)))
(/.f64 (.f64 (.f64 x x) x) x)
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 y x)
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))

eval97.0ms (2.9%)

Memory: -3.8MiB live, 79.6MiB allocated
Compiler: Compiled 15 927 to 1 080 computations (93.2% saved)

prune79.0ms (2.4%)

Memory

-3.0MiB live, 117.9MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	385	3	388
Fresh	0	0	0
Picked	0	1	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 #s(literal 2 binary64) x))
✓	91.8%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
▶	59.5%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
▶	55.8%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) x) y))

Compiler

Compiled 36 to 23 computations (36.1% saved)

simplify30.0ms (0.9%)

Memory

11.7MiB live, 49.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
206×	`lower-*.f32`
200×	`lower-*.f64`
93×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	71
0	24	65
1	42	65
2	79	65
3	134	65
4	216	65
5	327	65
6	493	65
7	745	65
8	836	65
9	836	65
0	836	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (1.5%)

Memory

25.0MiB live, 62.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.0078125	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
accuracy	25.92334248777672	#s(approx (- (* x x) (* x y)) (*.f64 x x))
accuracy	0	(.f64 (.f64 #s(literal -2 binary64) x) y)
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	28.283619003345947	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) x) y))

Samples

37.0ms

256×

valid

Compiler

Compiled 59 to 15 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 25.0ms (89.9% of total)

ival-sub: 2.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.8%)

Memory

-18.4MiB live, 19.1MiB allocated

Counts

9 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	(* (- x y) (* 2 x))
2.0ms	y	@	0	(* (- x y) (* 2 x))
0.0ms	x	@	inf	(* (- x y) (* 2 x))
0.0ms	x	@	0	(* (- x y) (* 2 x))
0.0ms	y	@	inf	(* (- x y) (* 2 x))

simplify156.0ms (4.7%)

Memory

15.7MiB live, 162.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2 729×	`lower-fma.f64`
2 729×	`lower-fma.f32`
1 742×	`lower-*.f64`
1 742×	`lower-*.f32`
707×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	978
1	174	978
2	428	978
3	1516	870
4	3578	870
5	5328	870
6	6920	870
0	8124	870

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 177

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

rewrite235.0ms (7.1%)

Memory

-4.5MiB live, 301.3MiB allocated

Rules

2 849×	`lower-fma.f64`
2 849×	`lower-fma.f32`
2 450×	`lower-*.f32`
2 444×	`lower-*.f64`
1 070×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	24	57
1	66	57
2	383	57
3	3629	57
0	8234	57

Stop Event

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

Counts

9 → 212

Calls

Call 1

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

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

eval86.0ms (2.6%)

Memory: -9.4MiB live, 72.8MiB allocated
Compiler: Compiled 6 152 to 571 computations (90.7% saved)

prune88.0ms (2.7%)

Memory

0.7MiB live, 76.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	389	0	389
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	389	4	393

Accuracy

100.0%

Counts

393 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	91.8%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	59.5%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
✓	55.8%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) x) y))

Compiler

Compiled 66 to 37 computations (43.9% saved)

regimes106.0ms (3.2%)

Memory

-19.7MiB live, 18.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

99.0ms	x
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
2.0ms	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

16.0MiB live, 16.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
81.5%	3	`x`
88.0%	3	`y`
80.1%	2	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
80.1%	2	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes5.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB 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 (.f64 #s(literal -2 binary64) x) y))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.8%	1	`x`
55.8%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
55.8%	1	`(-.f64 (.f64 x x) (.f64 x y))`
55.8%	1	`y`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch124.0ms (3.7%)

Memory

-31.0MiB live, 52.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.3452677003313607e+36	2.659479714339714e+44
108.0ms	-5.4203156337891075e-18	-4.644555095300156e-22

Samples

110.0ms

272×

valid

Compiler

Compiled 320 to 216 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-sub: 99.0ms (94.8% of total)

ival-mult: 5.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`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 #s(literal 2 binary64) x))

(if (<=.f64 y #s(literal -376441522243775/1298074214633706907132624082305024 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 #s(literal -2 binary64) x) y)) (if (<=.f64 y #s(literal 450000000000000012461445459600535835377664 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (- (* x x) (* x y)) (*.f64 x x))) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 #s(literal -2 binary64) x) y))))

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

Outputs
(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(if (<=.f64 y #s(literal -376441522243775/1298074214633706907132624082305024 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) x) y)) (if (<=.f64 y #s(literal 450000000000000012461445459600535835377664 binary64)) (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (.f64 x x))) #s(approx ( 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) x) y))))
(if (<=.f64 y #s(literal -376441522243775/1298074214633706907132624082305024 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) x) y)) (if (<=.f64 y #s(literal 450000000000000012461445459600535835377664 binary64)) (.f64 #s(approx (- ( x x) (* x y)) (.f64 x x)) #s(literal 2 binary64)) #s(approx ( 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) x) y))))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) x) y))

soundness519.0ms (15.6%)

Memory

-14.1MiB live, 303.5MiB allocated

Rules

4 822×	`lower-fma.f64`
4 822×	`lower-fma.f32`
2 646×	`lower-fma.f64`
2 646×	`lower-fma.f32`
2 182×	`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)

preprocess36.0ms (1.1%)

Memory: 24.3MiB live, 101.5MiB 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	17	71
0	24	65
1	42	65
2	79	65
3	134	65
4	216	65
5	327	65
6	493	65
7	745	65
8	836	65
9	836	65
0	836	65

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	17	71
0	24	65
1	42	65
2	79	65
3	134	65
4	216	65
5	327	65
6	493	65
7	745	65
8	836	65
9	836	65
0	836	65

start0.0ms (0%)

analyze0.0ms (0%)

sample857.0ms (25.8%)

explain95.0ms (2.9%)

preprocess73.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.8%)

localize25.0ms (0.7%)

series10.0ms (0.3%)

simplify116.0ms (3.5%)

rewrite465.0ms (14%)

eval97.0ms (2.9%)

prune79.0ms (2.4%)

simplify30.0ms (0.9%)

localize51.0ms (1.5%)

series26.0ms (0.8%)

simplify156.0ms (4.7%)

rewrite235.0ms (7.1%)

eval86.0ms (2.6%)

prune88.0ms (2.7%)

regimes106.0ms (3.2%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch124.0ms (3.7%)

simplify7.0ms (0.2%)

soundness519.0ms (15.6%)

preprocess36.0ms (1.1%)

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	17	71
0	24	65
1	42	65
2	79	65
3	134	65
4	216	65
5	327	65
6	493	65
7	745	65
8	836	65
9	836	65
0	836	65