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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample947.0ms (25.1%)

Memory

50.7MiB live, 979.3MiB allocated

Samples

605.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-mult: 318.0ms (86.7% of total)

ival-add: 35.0ms (9.5% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.4% of total)

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

Bogosity

explain106.0ms (2.8%)

Memory

-2.6MiB live, 117.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
11	-	-	`(+.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	11	0
↳	`(*.f64 x x)`	overflow	69
↳	`(*.f64 x y)`	overflow	43

Confusion

	Predicted +	Predicted -
+	11	0
-	0	245

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	11	0	0
-	0	0	245

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	245
1	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 65 to 25 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 19.0ms (87.5% of total)

ival-add: 2.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess46.0ms (1.2%)

Memory

3.1MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Rules

254×	`unsub-neg`
206×	`associate-r`
196×	`distribute-lft-in`
192×	`associate-l`
188×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	71	35
2	220	35
3	638	35
4	1000	35
5	1219	35
6	1600	35
7	1620	35
8	1620	35
0	7	9
0	11	7
1	22	7
2	40	7
3	63	7
4	63	7
0	63	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 x (.f64 #s(literal 2 binary64) (+.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB 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

54×	`lower-*.f32`
48×	`lower-*.f64`
34×	`lower-fma.f64`
34×	`lower-fma.f32`
30×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	11	21
1	22	21
2	40	21
3	63	21
4	63	21
0	63	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 x (.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(literal 2 binary64)
(+.f64 (.f64 x x) (.f64 x y))
(*.f64 x (+.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y

localize27.0ms (0.7%)

Memory

-21.7MiB live, 39.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
accuracy	2.4492084291510294	(+.f64 (.f64 x x) (.f64 x y))

Samples

18.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 6.0ms (51.9% of total)

ival-mult: 5.0ms (43.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-23.2MiB live, 14.5MiB 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 (* x y) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ x y)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ x y)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ x y)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 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 (/ 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 (/ y x))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 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 (/ 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 (/ y x))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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 (+ (* 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 (+ (* 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 (* 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 (+ x (/ (pow x 2) 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 (+ x (/ (pow x 2) 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 (+ x (/ (pow x 2) 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 (* 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 x) (* -1 (/ (pow x 2) 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 x) (* -1 (/ (pow x 2) 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 x) (* -1 (/ (pow x 2) 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 (* 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 x) (* 2 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 x) (* 2 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 x) (* 2 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 (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 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 (* -1 (* 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 (* -1 (* 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 (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* x y)
1.0ms	x	@	0	(* x y)
0.0ms	x	@	inf	(+ (* x x) (* x y))
0.0ms	y	@	inf	(+ (* x x) (* x y))
0.0ms	x	@	0	(+ (* x x) (* x y))

simplify257.0ms (6.8%)

Memory

34.4MiB live, 194.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 618×	`lower-fma.f64`
4 618×	`lower-fma.f32`
3 418×	`lower-*.f64`
3 418×	`lower-*.f32`
1 342×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	372
1	134	372
2	345	372
3	756	372
4	1649	372
5	3593	372
6	5824	372
7	7074	372
0	8071	372

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite363.0ms (9.6%)

Memory

-23.3MiB live, 413.2MiB allocated

Rules

9 330×	`lower-fma.f64`
9 330×	`lower-fma.f32`
4 536×	`lower-/.f64`
4 536×	`lower-/.f32`
3 968×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	36	18
2	252	18
3	2284	18
0	8636	18

Stop Event

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

Counts

4 → 269

Calls

Call 1

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

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

eval60.0ms (1.6%)

Memory: 31.0MiB live, 67.7MiB allocated
Compiler: Compiled 11 507 to 921 computations (92% saved)

prune67.0ms (1.8%)

Memory

-15.0MiB live, 101.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	349	4	353
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	4	354

Accuracy

100.0%

Counts

354 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (+.f64 x y) (.f64 x #s(literal 2 binary64)))
▶	98.0%	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
▶	58.3%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x y)))
▶	60.8%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x x)))

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify6.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

62×	`lower-*.f32`
48×	`lower-*.f64`
34×	`lower-fma.f32`
32×	`lower-fma.f64`
24×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	85
1	46	85
2	66	85
3	73	85
0	73	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (1.3%)

Memory

-11.4MiB live, 96.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.00390625	(.f64 (+.f64 x y) (.f64 x #s(literal 2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
accuracy	1.253892488027801	(fma.f64 y x (*.f64 x x))
accuracy	0	(*.f64 x y)
accuracy	0	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x y)))
accuracy	26.69265037739178	#s(approx (+ (* x x) (* x y)) (*.f64 x y))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x x)))
accuracy	25.05026159422533	#s(approx (+ (* x x) (* x y)) (*.f64 x x))

Samples

31.0ms

256×

valid

Compiler

Compiled 83 to 15 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 15.0ms (82.4% of total)

ival-add: 3.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

11 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

simplify208.0ms (5.5%)

Memory

14.7MiB live, 315.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 816×	`lower-fma.f64`
5 816×	`lower-fma.f32`
5 794×	`lower-*.f64`
5 794×	`lower-*.f32`
1 394×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	1152
1	178	1152
2	442	1152
3	1236	1152
4	2333	1152
5	3894	1152
6	5569	1152
7	6617	1152
0	8034	1152

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 234

Calls

Call 1

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

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

rewrite397.0ms (10.5%)

Memory

-65.9MiB live, 337.8MiB allocated

Rules

8 500×	`lower-fma.f32`
8 498×	`lower-fma.f64`
5 322×	`lower-*.f32`
5 308×	`lower-*.f64`
2 136×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	81
0	26	71
1	86	71
2	488	71
3	4970	71
0	8520	71

Stop Event

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

Counts

11 → 454

Calls

Call 1

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

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

eval76.0ms (2%)

Memory: 15.0MiB live, 169.7MiB allocated
Compiler: Compiled 15 613 to 1 091 computations (93% saved)

prune110.0ms (2.9%)

Memory

4.8MiB live, 120.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	712	0	712
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	712	4	716

Accuracy

100.0%

Counts

716 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (+.f64 x y) (.f64 x #s(literal 2 binary64)))
✓	98.0%	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
✓	58.3%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x y)))
✓	60.8%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x x)))

Compiler

Compiled 73 to 36 computations (50.7% saved)

regimes10.0ms (0.3%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes47.0ms (1.2%)

Memory

-28.7MiB live, 24.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

42.0ms	x
1.0ms	y
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
83.0%	3	`x`
90.0%	3	`y`
80.5%	2	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
80.5%	2	`(+.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
60.8%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
60.8%	1	`(+.f64 (.f64 x x) (.f64 x y))`
60.8%	1	`x`
60.8%	1	`y`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch56.0ms (1.5%)

Memory

-11.8MiB live, 25.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	1.107362393960169e-7	0.008176043193648359
10.0ms	-5.4203156337891075e-18	-4.644555095300156e-22

Samples

44.0ms

272×

valid

Compiler

Compiled 320 to 216 computations (32.5% saved)

Precisions

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

ival-mult: 5.0ms (74.9% of total)

ival-add: 1.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

simplify6.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	67
1	27	67

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -376441522243775/1298074214633706907132624082305024 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 x y))) (if (<=.f64 y #s(literal 1080863910568919/288230376151711744 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 x x))) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 x y)))))

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

Outputs

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

(if (<=.f64 y #s(literal -376441522243775/1298074214633706907132624082305024 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 x y))) (if (<=.f64 y #s(literal 1080863910568919/288230376151711744 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 x x))) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 x y)))))

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

soundness860.0ms (22.8%)

Memory

-3.5MiB live, 226.3MiB allocated

Rules

9 330×	`lower-fma.f64`
9 330×	`lower-fma.f32`
4 618×	`lower-fma.f64`
4 618×	`lower-fma.f32`
4 536×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	36	18
2	252	18
3	2284	18
0	8636	18
0	40	372
1	134	372
2	345	372
3	756	372
4	1649	372
5	3593	372
6	5824	372
7	7074	372
0	8071	372

Stop Event

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

Compiler

Compiled 80 to 41 computations (48.8% saved)

preprocess49.0ms (1.3%)

Memory: -1.6MiB live, 49.1MiB allocated
Compiler: Compiled 122 to 58 computations (52.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample947.0ms (25.1%)

explain106.0ms (2.8%)

preprocess46.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize27.0ms (0.7%)

series9.0ms (0.2%)

simplify257.0ms (6.8%)

rewrite363.0ms (9.6%)

eval60.0ms (1.6%)

prune67.0ms (1.8%)

simplify6.0ms (0.2%)

localize51.0ms (1.3%)

series9.0ms (0.2%)

simplify208.0ms (5.5%)

rewrite397.0ms (10.5%)

eval76.0ms (2%)

prune110.0ms (2.9%)

regimes10.0ms (0.3%)

regimes47.0ms (1.2%)

regimes5.0ms (0.1%)

bsearch56.0ms (1.5%)

simplify6.0ms (0.2%)

soundness860.0ms (22.8%)

preprocess49.0ms (1.3%)

end0.0ms (0%)

Profiling