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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample800.0ms (26.3%)

Memory

36.8MiB live, 1 083.7MiB allocated

Samples

441.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 287.0ms

ival-mult: 212.0ms (74% of total)

ival-add: 61.0ms (21.3% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.7% of total)

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

Bogosity

explain134.0ms (4.4%)

Memory

1.4MiB live, 175.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
14	-	-	`(+.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	14	0
↳	`(*.f64 x x)`	overflow	59
↳	`(*.f64 x y)`	overflow	37

Confusion

	Predicted +	Predicted -
+	14	0
-	0	242

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	0
-	0	0	242

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	242
1	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

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

ival-mult: 10.0ms (78.7% of total)

ival-add: 2.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess41.0ms (1.3%)

Memory

3.3MiB live, 40.9MiB 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 (.f64 (+.f64 y x) #s(literal 2 binary64)) x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.5%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB 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 (.f64 (+.f64 y x) #s(literal 2 binary64)) x)
#s(literal 2 binary64)
(+.f64 (.f64 x x) (.f64 x y))
(*.f64 (+.f64 y x) x)
(*.f64 x x)
x
(*.f64 x y)
(*.f64 y x)
y

localize38.0ms (1.2%)

Memory

3.2MiB live, 42.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
accuracy	3.148423050811441	(+.f64 (.f64 x x) (.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-mult: 4.0ms (67% of total)

ival-add: 1.0ms (16.8% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (1.5%)

Memory

-26.0MiB live, 17.5MiB 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 (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 (* 2 (pow x 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 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 (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 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 -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 (* 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 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ x y)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ x y)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ x y)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 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 (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 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 (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 x y)) (patch (+.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 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 (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) (patch (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	x	@	0	((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))
4.0ms	x	@	inf	((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))
1.0ms	x	@	-inf	((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))
1.0ms	y	@	-inf	((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))
1.0ms	y	@	inf	((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))

simplify126.0ms (4.1%)

Memory

10.1MiB live, 167.9MiB 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	758	372
4	1650	372
5	3590	372
6	5835	372
7	7071	372
0	8068	372

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite196.0ms (6.5%)

Memory

-4.9MiB live, 224.5MiB 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 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (.f64 y x) x) (-.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 y x) x) (-.f64 y x))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y x) x) (-.f64 y x)) (-.f64 (.f64 (.f64 (*.f64 y x) x) (-.f64 y x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (+.f64 y x) x))
(.f64 (/.f64 (.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 x (-.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) x))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 y x) x)
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (+.f64 y x) x) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (+.f64 y x) x) (pow.f64 (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 y x) x) (/.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) x)))
(.f64 (.f64 (+.f64 y x) x) (.f64 (.f64 (-.f64 x y) x) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 y x))
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 y x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 y x))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x)))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (pow.f64 (neg.f64 (.f64 x (/.f64 (.f64 y y) (-.f64 x y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (.f64 x (/.f64 (.f64 y y) (-.f64 x y)))) (neg.f64 (.f64 x (/.f64 (.f64 y y) (-.f64 x y))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (.f64 x (/.f64 (.f64 y y) (-.f64 x y))))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) x)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 x (.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
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(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y)) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x) (-.f64 x y))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 y x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 x y)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (-.f64 y x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (-.f64 x y)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (-.f64 x y)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 y x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 y x) #s(literal 2 binary64)) x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 x y) x))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y x)) (.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (-.f64 x y)) (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y x)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (-.f64 x y)) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 y x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 y x)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 y x) #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) x) y (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 #s(literal 2 binary64) (.f64 y x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 y (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 x (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (*.f64 y x)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 y x)))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 y x)
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))

eval57.0ms (1.9%)

Memory: 33.3MiB live, 69.7MiB allocated
Compiler: Compiled 7 799 to 931 computations (88.1% saved)

prune103.0ms (3.4%)

Memory

-28.8MiB live, 100.6MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	350	3	353
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	351	3	354

Accuracy

100.0%

Counts

354 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) x))
▶	61.6%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
▶	57.4%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x x)))

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify5.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

62×	`lower-*.f32`
50×	`lower-*.f64`
34×	`lower-fma.f64`
34×	`lower-fma.f32`
20×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	75
0	22	67
1	33	67
2	48	67
3	66	67
4	72	67
0	72	67

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

localize72.0ms (2.4%)

Memory

-30.9MiB live, 55.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0	(.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) x))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
accuracy	24.542443510989806	#s(approx (+ (* x x) (* x y)) (*.f64 y x))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x x)))
accuracy	27.465758728864515	#s(approx (+ (* x x) (* x y)) (*.f64 x x))

Samples

47.0ms

256×

valid

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

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

ival-mult: 9.0ms (79.2% of total)

ival-add: 2.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

9 → 192

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

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

Calls

6 calls:

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

simplify255.0ms (8.4%)

Memory

20.3MiB live, 127.5MiB 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	888
1	178	888
2	440	888
3	1223	888
4	2327	888
5	3877	888
6	5563	888
7	6619	888
0	8036	888

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 186

Calls

Call 1

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

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

rewrite164.0ms (5.4%)

Memory

-13.8MiB live, 225.3MiB allocated

Rules

4 556×	`lower-fma.f64`
4 556×	`lower-fma.f32`
4 064×	`lower-*.f32`
4 052×	`lower-*.f64`
3 366×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	22	59
1	58	59
2	316	59
3	3124	59
0	8309	59

Stop Event

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

Counts

9 → 217

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

Outputs
(.f64 #s(approx (+ ( x x) (* x y)) (*.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x x)))
#s(approx (+ (* x x) (* x y)) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 #s(approx (+ ( x x) (* x y)) (*.f64 y x)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(.f64 (/.f64 (.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 2 binary64)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(.f64 (/.f64 (.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 2 binary64)) x) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (fma.f64 y y (.f64 (neg.f64 x) (-.f64 x y))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x y) x) (-.f64 (.f64 (-.f64 x y) x) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (.f64 (*.f64 x x) y) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 2 binary64)) x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (-.f64 x y) x (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x)))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (-.f64 y x))) (.f64 (neg.f64 (-.f64 y x)) (.f64 (neg.f64 x) x))) (*.f64 (neg.f64 (-.f64 y x)) (neg.f64 (-.f64 y x))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 y y)) (/.f64 (-.f64 y x) (.f64 x x))) (.f64 (neg.f64 (-.f64 y x)) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 y x)) (/.f64 (-.f64 y x) (.f64 x x))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 y y)) (-.f64 y x)) (.f64 (neg.f64 (-.f64 y x)) (.f64 x x))) (*.f64 (neg.f64 (-.f64 y x)) (-.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x))) (.f64 (/.f64 (-.f64 y x) (.f64 y y)) (.f64 (neg.f64 x) x))) (.f64 (/.f64 (-.f64 y x) (.f64 y y)) (neg.f64 (-.f64 y x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 x x))) (.f64 (/.f64 (-.f64 y x) (.f64 y y)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 y x) (.f64 y y)) (/.f64 (-.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 y x)) (.f64 (/.f64 (-.f64 y x) (.f64 y y)) (.f64 x x))) (.f64 (/.f64 (-.f64 y x) (.f64 y y)) (-.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 y y) (neg.f64 (-.f64 y x))) (.f64 (-.f64 y x) (.f64 (neg.f64 x) x))) (*.f64 (-.f64 y x) (neg.f64 (-.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 y y) (/.f64 (-.f64 y x) (.f64 x x))) (.f64 (-.f64 y x) #s(literal 1 binary64))) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) (.f64 x x))))
(/.f64 (-.f64 (neg.f64 (.f64 y y)) (.f64 (neg.f64 x) x)) (neg.f64 (-.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (.f64 (-.f64 y x) (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) (neg.f64 (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 y x) (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (neg.f64 (-.f64 y x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 y x)
(+.f64 x y)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

eval126.0ms (4.1%)

Memory: -3.7MiB live, 123.5MiB allocated
Compiler: Compiled 5 829 to 696 computations (88.1% saved)

prune33.0ms (1.1%)

Memory

12.9MiB live, 89.2MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	403	0	403
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	403	3	406

Accuracy

100.0%

Counts

406 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) x))
✓	61.6%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
✓	57.4%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x x)))

Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes11.0ms (0.4%)

Memory

-11.7MiB live, 24.6MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB 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 y x)))

Outputs

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

(*.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 y x)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
84.2%	3	`x`
85.6%	3	`y`
83.2%	2	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
83.2%	2	`(+.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes10.0ms (0.3%)

Memory

-26.0MiB live, 19.7MiB 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:

5.0ms	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
57.4%	1	`x`
57.4%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
57.4%	1	`(+.f64 (.f64 x x) (.f64 x y))`
57.4%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch29.0ms (1%)

Memory

20.1MiB live, 56.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.3982756119678259e+53	4.43053024391326e+54
17.0ms	-4.9276330069809e-48	-6.706800089167379e-68

Samples

16.0ms

288×

valid

Compiler

Compiled 228 to 264 computations (-15.8% saved)

Precisions

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

ival-mult: 8.0ms (80.5% of total)

ival-add: 1.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify40.0ms (1.3%)

Memory

-20.7MiB live, 56.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

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

(if (<=.f64 y #s(literal -1357541259789995/411376139330301510538742295639337626245683966408394965837152256 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (if (<=.f64 y #s(literal 139999999999999999050932814410627916704639181872168960 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 y x)))))

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

Outputs
(.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x y))
(if (<=.f64 y #s(literal -1357541259789995/411376139330301510538742295639337626245683966408394965837152256 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) (if (<=.f64 y #s(literal 139999999999999999050932814410627916704639181872168960 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 y x)))))
(if (<=.f64 y #s(literal -1357541259789995/411376139330301510538742295639337626245683966408394965837152256 binary64)) (.f64 #s(approx (+ ( x x) (* x y)) (.f64 x y)) #s(literal 2 binary64)) (if (<=.f64 y #s(literal 139999999999999999050932814410627916704639181872168960 binary64)) (.f64 #s(approx (+ (* x x) (* x y)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* x x) (* x y)) (*.f64 x y)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x x)))
(.f64 #s(approx (+ ( x x) (* x y)) (*.f64 x x)) #s(literal 2 binary64))

soundness620.0ms (20.4%)

Memory

19.8MiB live, 220.0MiB 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	758	372
4	1650	372
5	3590	372
6	5835	372
7	7071	372
0	8068	372

Stop Event

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

Compiler

Compiled 70 to 43 computations (38.6% saved)

preprocess109.0ms (3.6%)

Memory: 10.9MiB live, 85.7MiB allocated
Compiler: Compiled 110 to 62 computations (43.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample800.0ms (26.3%)

explain134.0ms (4.4%)

preprocess41.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize38.0ms (1.2%)

series47.0ms (1.5%)

simplify126.0ms (4.1%)

rewrite196.0ms (6.5%)

eval57.0ms (1.9%)

prune103.0ms (3.4%)

simplify5.0ms (0.2%)

localize72.0ms (2.4%)

series10.0ms (0.3%)

simplify255.0ms (8.4%)

rewrite164.0ms (5.4%)

eval126.0ms (4.1%)

prune33.0ms (1.1%)

regimes11.0ms (0.4%)

regimes7.0ms (0.2%)

regimes10.0ms (0.3%)

bsearch29.0ms (1%)

simplify40.0ms (1.3%)

soundness620.0ms (20.4%)

preprocess109.0ms (3.6%)

end0.0ms (0%)

Profiling