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

0.3MiB live, 0.3MiB 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)

sample974.0ms (27%)

Memory

37.5MiB live, 902.2MiB allocated

Samples

708.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-mult: 307.0ms (76.2% of total)

ival-sub: 82.0ms (20.4% of total)

ival-true: 6.0ms (1.5% of total)

exact: 4.0ms (1% of total)

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

Bogosity

explain383.0ms (10.6%)

Memory

-169.0MiB live, 86.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
8	-	-	`(-.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	8	0
↳	`(*.f64 x x)`	overflow	58
↳	`(*.f64 x y)`	overflow	24

Confusion

	Predicted +	Predicted -
+	8	0
-	0	248

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	8	0	0
-	0	0	248

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	248
1	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

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

ival-mult: 10.0ms (77.7% 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)

preprocess86.0ms (2.4%)

Memory

-3.9MiB live, 79.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.8%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify36.0ms (1%)

Memory

-7.5MiB live, 27.4MiB 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

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (1%)

Memory

1.8MiB live, 38.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
accuracy	1.7109333716604118	(-.f64 (.f64 x x) (.f64 x y))

Samples

31.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 23.0ms (94.4% of total)

ival-sub: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB 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 (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 (* 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 (* 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 (* -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 (* -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 (* 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 (* -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 -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 (* 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 (* -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 (* -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 (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 (* 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 (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 (* 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 (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 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 (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 (* 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 (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 -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>) () ())) ())

Calls

6 calls:

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

simplify120.0ms (3.3%)

Memory

-20.5MiB live, 130.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 280×	`lower-fma.f64`
5 280×	`lower-fma.f32`
3 190×	`lower-*.f64`
3 190×	`lower-*.f32`
1 840×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	501
1	132	411
2	315	411
3	1115	375
4	3465	375
5	5485	375
6	6485	375
7	7973	375
0	8405	375

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite324.0ms (8.9%)

Memory

1.4MiB live, 324.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 304

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (+.f64 y x)) #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (*.f64 y x) x) (+.f64 y x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y x) x) (+.f64 y x)) (-.f64 (.f64 (.f64 (*.f64 y x) x) (+.f64 y x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (-.f64 x y) x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x)))
(.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) x))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.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) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (-.f64 x y) x) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (-.f64 x y) x) (pow.f64 (fma.f64 (.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 x (-.f64 x y))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.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 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 y x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) #s(literal 2 binary64)) (-.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 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (neg.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 y x))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) x)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 y x) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
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(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (+.f64 y x)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 y x) x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 y x) x)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #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 (.f64 (-.f64 x y) #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)))) (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) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (*.f64 y x)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x) (+.f64 y x))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (*.f64 y x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 y x) x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x y) #s(literal 2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) #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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x))) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x))))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x y) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x y) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(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 y) x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 y) x) (.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 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x)))) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)) (-.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 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) 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)))

eval177.0ms (4.9%)

Memory: -1.6MiB live, 85.5MiB allocated
Compiler: Compiled 10 068 to 1 087 computations (89.2% saved)

prune92.0ms (2.6%)

Memory

-10.5MiB live, 28.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	383	5	388
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	5	389

Accuracy

100.0%

Counts

389 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
▶	99.2%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
▶	97.6%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
▶	60.0%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
▶	55.1%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 74 to 64 computations (13.5% saved)

simplify26.0ms (0.7%)

Memory

35.8MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

672×	`lower-fma.f32`
668×	`lower-fma.f64`
412×	`lower-*.f32`
396×	`lower-*.f64`
168×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	120
0	36	106
1	70	106
2	112	106
3	183	106
4	307	106
5	501	106
6	754	106
7	835	106
8	835	106
0	835	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize95.0ms (2.6%)

Memory

0.1MiB live, 73.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
accuracy	0.5117132452111204	(fma.f64 (neg.f64 y) x (*.f64 x x))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
accuracy	1.5100809954018035	(fma.f64 x x (*.f64 (neg.f64 y) x))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
accuracy	25.618920023861225	#s(approx (- (* x x) (* x y)) (*.f64 x x))
accuracy	0	(*.f64 y x)
accuracy	0	(.f64 #s(literal -2 binary64) (.f64 y x))
accuracy	28.764620231358148	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.01171875	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))

Samples

67.0ms

256×

valid

Compiler

Compiled 112 to 21 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 46.0ms (88.5% of total)

ival-sub: 3.0ms (5.8% of total)

ival-add: 2.0ms (3.8% of total)

ival-neg: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (1.1%)

Memory

-2.4MiB live, 39.1MiB allocated

Counts

15 → 324

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	((* (- x y) (* 2 x)) (- x y) (* 2 x) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (+ (* (neg y) x) (* x x)) (* 2 (+ (* (neg y) x) (* x x))))
3.0ms	x	@	0	((* (- x y) (* 2 x)) (- x y) (* 2 x) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (+ (* (neg y) x) (* x x)) (* 2 (+ (* (neg y) x) (* x x))))
2.0ms	x	@	-inf	((* (- x y) (* 2 x)) (- x y) (* 2 x) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (+ (* (neg y) x) (* x x)) (* 2 (+ (* (neg y) x) (* x x))))
1.0ms	y	@	inf	((* (- x y) (* 2 x)) (- x y) (* 2 x) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (+ (* (neg y) x) (* x x)) (* 2 (+ (* (neg y) x) (* x x))))
1.0ms	y	@	-inf	((* (- x y) (* 2 x)) (- x y) (* 2 x) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (+ (* (neg y) x) (* x x)) (* 2 (+ (* (neg y) x) (* x x))))

simplify124.0ms (3.4%)

Memory

-0.0MiB live, 152.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	2082
1	202	1740
2	484	1740
3	1584	1560
4	3622	1560
5	5352	1560
6	6948	1560
0	8108	1560

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 321

Calls

Call 1

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

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

rewrite232.0ms (6.4%)

Memory

1.7MiB live, 312.8MiB allocated

Rules

8 874×	`lower-fma.f32`
8 870×	`lower-fma.f64`
4 138×	`lower-*.f32`
4 122×	`lower-*.f64`
2 340×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	101
0	36	87
1	113	87
2	719	87
3	7951	87
0	8361	87

Stop Event

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

Counts

15 → 1 018

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (.f64 (.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (*.f64 (-.f64 x y) x))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64)) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 (-.f64 x y) x) (.f64 y y)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (-.f64 x y) x))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y x)) #s(literal 2 binary64)))) (.f64 (.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y x)) (-.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (.f64 (.f64 x x) (fma.f64 (-.f64 x y) x (.f64 y y))) (pow.f64 (.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (/.f64 #s(literal 2 binary64) (+.f64 y x)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) x) (/.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x)))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (+.f64 y x)))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (neg.f64 y) x)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64)) x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) x) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) x)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 y) x))))
(.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (-.f64 x y)) x)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) x)))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 y) x))))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 x y)) x)
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 y x)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 (neg.f64 y) x) x)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) x)) #s(literal 2 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) (+.f64 y x))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
(.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) y)))
(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x) (+.f64 y x))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) x) (-.f64 (neg.f64 y) x))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (.f64 (fma.f64 y y (.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) x)) (-.f64 (neg.f64 y) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (*.f64 #s(literal 2 binary64) x)) (-.f64 (neg.f64 y) x))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) x)) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 (neg.f64 x) x))) (-.f64 (neg.f64 y) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 (neg.f64 y) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) x) (*.f64 #s(literal -2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (neg.f64 y) x) x))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 2 binary64)) x)) (-.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) x)) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 x y) x))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (-.f64 x y)) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 y) x))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 x y) x))
(/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 2 binary64)) x) (+.f64 y x))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) x) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (neg.f64 y) x) x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 y) x)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (-.f64 x y)) x))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 y) x)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) y (.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) y (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 x) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) x) y (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) y) x (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (.f64 y #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 (neg.f64 y) x) #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) x) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y)) x))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 y)))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (neg.f64 (.f64 #s(literal -2 binary64) (*.f64 y x))))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 (*.f64 y x) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 #s(literal -2 binary64) (.f64 y x) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 y x) #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 y) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y)) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 y)))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (neg.f64 (.f64 #s(literal -2 binary64) (*.f64 y x))))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 (*.f64 y x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 y) x) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y)) x))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 y)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (neg.f64 (.f64 #s(literal -2 binary64) (*.f64 y x))))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 (*.f64 y x) #s(literal 2 binary64)))
(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 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 y (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 y (.f64 #s(literal -2 binary64) x) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 x (.f64 #s(literal -2 binary64) y) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y)) x))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 y)))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (neg.f64 (.f64 #s(literal -2 binary64) (*.f64 y x))))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 (*.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 y) x))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 y) x))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) (-.f64 x y)) x)) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) x)))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 y x) #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 y x)))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 (.f64 x x) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) y)) x))
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 y)))
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 y) x)))
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) y)))
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal -2 binary64) (.f64 y x))))
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 y x) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 y x)))

eval173.0ms (4.8%)

Memory: 34.8MiB live, 434.3MiB allocated
Compiler: Compiled 24 293 to 1 613 computations (93.4% saved)

prune44.0ms (1.2%)

Memory

14.1MiB live, 173.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	1 390	0	1 390
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	1 390	5	1 395

Accuracy

100.0%

Counts

1 395 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	99.2%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
✓	97.6%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
✓	60.0%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
✓	55.1%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 83 to 54 computations (34.9% saved)

regimes21.0ms (0.6%)

Memory

-45.1MiB live, 29.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	y
3.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
3.0ms	x
3.0ms	(-.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 18 to 16 computations (11.1% saved)

regimes7.0ms (0.2%)

Memory

16.9MiB live, 17.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
83.7%	3	`x`
85.5%	3	`y`
84.3%	4	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
84.3%	4	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB 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 #s(literal -2 binary64) (.f64 y x)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.1%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
55.1%	1	`(-.f64 (.f64 x x) (.f64 x y))`
55.1%	1	`x`
55.1%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch46.0ms (1.3%)

Memory

-1.1MiB live, 36.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.030157655528055986	114977279411913090.0
30.0ms	-3.0516346950351952e+47	-3.1324101924687396e+44

Samples

33.0ms

288×

valid

Compiler

Compiled 228 to 264 computations (-15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 25.0ms (93.2% of total)

ival-sub: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify38.0ms (1.1%)

Memory

-1.1MiB live, 72.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`

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 -330000000000000013264860134658327195607367680 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (if (<=.f64 y #s(literal 25000 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (- (* x x) (* x y)) (*.f64 x x))) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))

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

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 -330000000000000013264860134658327195607367680 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 25000 binary64)) (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (.f64 x x))) #s(approx ( 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))))
(if (<=.f64 y #s(literal -330000000000000013264860134658327195607367680 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 y x) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 25000 binary64)) (.f64 #s(approx (- ( x x) (* x y)) (.f64 x x)) #s(literal 2 binary64)) #s(approx ( 2 (- (* x x) (* x y))) (.f64 (.f64 y x) #s(literal -2 binary64)))))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 y x) #s(literal -2 binary64)))

soundness486.0ms (13.5%)

Memory

-1.9MiB live, 264.4MiB allocated

Rules

9 644×	`lower-fma.f64`
9 644×	`lower-fma.f32`
5 280×	`lower-fma.f64`
5 280×	`lower-fma.f32`
4 364×	`lower-/.f64`

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
0	42	501
1	132	411
2	315	411
3	1115	375
4	3465	375
5	5485	375
6	6485	375
7	7973	375
0	8405	375

Stop Event

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

Compiler

Compiled 70 to 44 computations (37.1% saved)

preprocess39.0ms (1.1%)

Memory: 1.2MiB live, 120.6MiB allocated
Compiler: Compiled 110 to 64 computations (41.8% 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	23	120
0	36	106
1	70	106
2	112	106
3	183	106
4	307	106
5	501	106
6	754	106
7	835	106
8	835	106
0	835	106

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	23	120
0	36	106
1	70	106
2	112	106
3	183	106
4	307	106
5	501	106
6	754	106
7	835	106
8	835	106
0	835	106

start0.0ms (0%)

analyze0.0ms (0%)

sample974.0ms (27%)

explain383.0ms (10.6%)

preprocess86.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify36.0ms (1%)

localize36.0ms (1%)

series7.0ms (0.2%)

simplify120.0ms (3.3%)

rewrite324.0ms (8.9%)

eval177.0ms (4.9%)

prune92.0ms (2.6%)

simplify26.0ms (0.7%)

localize95.0ms (2.6%)

series41.0ms (1.1%)

simplify124.0ms (3.4%)

rewrite232.0ms (6.4%)

eval173.0ms (4.8%)

prune44.0ms (1.2%)

regimes21.0ms (0.6%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch46.0ms (1.3%)

simplify38.0ms (1.1%)

soundness486.0ms (13.5%)

preprocess39.0ms (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	23	120
0	36	106
1	70	106
2	112	106
3	183	106
4	307	106
5	501	106
6	754	106
7	835	106
8	835	106
0	835	106