Metrics for System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 9 to 8 computations (11.1% saved)

sample660.0ms (15.5%)

Memory

50.6MiB live, 739.9MiB allocated

Samples

417.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

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

ival-mult: 172.0ms (75.8% of total)

ival-sub: 41.0ms (18.1% of total)

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

exact: 5.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain194.0ms (4.6%)

Memory

-18.9MiB live, 102.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 (*.f64 x x) y)`
-	-	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
-	-	`#s(literal 1/2 binary64)`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

145.0ms

512×

valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult: 129.0ms (97.3% of total)

ival-sub: 2.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess45.0ms (1.1%)

Memory

8.4MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
216×	`lower-*.f32`
212×	`lower-*.f64`
200×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	46	35
2	129	35
3	381	35
4	678	35
5	844	35
6	882	35
7	882	35
0	6	7
0	9	7
1	12	7
2	23	7
3	45	7
4	71	7
5	99	7
6	169	7
7	266	7
8	410	7
9	466	7
10	496	7
0	496	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

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

Symmetry

(abs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify16.0ms (0.4%)

Memory

21.2MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) y)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
216×	`lower-*.f32`
212×	`lower-*.f64`
80×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	23	18
3	45	18
4	71	18
5	99	18
6	169	18
7	266	18
8	410	18
9	466	18
10	496	18
0	496	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
#s(literal 1/2 binary64)
(-.f64 (*.f64 x x) y)
(*.f64 x x)
x
y

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

localize35.0ms (0.8%)

Memory

-25.5MiB live, 20.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
accuracy	0.00390625	(-.f64 (*.f64 x x) y)

Samples

29.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 19.0ms (92.7% of total)

ival-sub: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y)) (patch (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x x) y) (patch (-.f64 (.f64 x x) y) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) #<representation binary64>) () ())

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

#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())

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

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* 1/2 (- (* x x) y))
0.0ms	y	@	inf	(* 1/2 (- (* x x) y))
0.0ms	x	@	0	(* 1/2 (- (* x x) y))
0.0ms	y	@	0	(* 1/2 (- (* x x) y))
0.0ms	y	@	-inf	(* 1/2 (- (* x x) y))

simplify207.0ms (4.9%)

Memory

-28.8MiB live, 141.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 028×	`lower-fma.f64`
5 028×	`lower-fma.f32`
3 454×	`lower-*.f64`
3 454×	`lower-*.f32`
1 366×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	327
1	102	327
2	297	327
3	993	291
4	2493	291
5	4972	291
6	7159	291
0	8120	291

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite245.0ms (5.8%)

Memory

25.0MiB live, 414.3MiB allocated

Rules

6 946×	`lower-fma.f64`
6 946×	`lower-fma.f32`
4 110×	`lower-/.f64`
4 110×	`lower-/.f32`
3 550×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	27	15
2	178	15
3	1645	15
0	8532	15

Stop Event

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

Counts

3 → 266

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(-.f64 (*.f64 x x) y)
(*.f64 x x)

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

eval169.0ms (4%)

Memory: -18.4MiB live, 62.5MiB allocated
Compiler: Compiled 14 361 to 898 computations (93.7% saved)

prune80.0ms (1.9%)

Memory

15.4MiB live, 54.6MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	323	3	326
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	324	3	327

Accuracy

100.0%

Counts

327 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
▶	51.8%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
▶	50.0%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify17.0ms (0.4%)

Memory

19.3MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 x x (neg.f64 y))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) y) (*.f64 x x))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Rules

336×	`lower-fma.f32`
334×	`lower-fma.f64`
220×	`lower-*.f32`
212×	`lower-*.f64`
80×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
0	21	58
1	36	58
2	57	58
3	82	58
4	110	58
5	180	58
6	276	58
7	414	58
8	470	58
9	502	58
0	502	58

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
#s(literal 1/2 binary64)
#s(approx (- (* x x) y) (*.f64 x x))
(*.f64 x x)
x
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
#s(literal 1/2 binary64)
(fma.f64 x x (neg.f64 y))
x
(neg.f64 y)
y

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

localize82.0ms (1.9%)

Memory

-29.1MiB live, 47.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x (neg.f64 y))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
accuracy	0	(neg.f64 y)
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
accuracy	30.826146335888406	#s(approx (- (* x x) y) (*.f64 x x))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	32.02226765414023	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Samples

52.0ms

256×

valid

Compiler

Compiled 50 to 13 computations (74% saved)

Precisions

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

ival-mult: 6.0ms (58.3% of total)

ival-sub: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

ival-neg: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

8 → 156

Calls

Call 1

Inputs
#s(alt #s(approx (* 1/2 (- (* x x) y)) (.f64 #s(literal -1/2 binary64) y)) (patch #s(approx ( 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) y) (patch (.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (.f64 x x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (- (* x x) y) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) y) (.f64 x x)) (patch #s(approx (- ( x x) y) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y))) #<representation binary64>) () ())
#s(alt (fma.f64 x x (neg.f64 y)) (patch (fma.f64 x x (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())

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

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(* -1/2 y)
0.0ms	y	@	-inf	(* -1/2 y)
0.0ms	y	@	0	(* -1/2 y)
0.0ms	y	@	inf	(neg y)
0.0ms	x	@	0	(* 1/2 (- (* x x) y))

simplify158.0ms (3.7%)

Memory

10.3MiB live, 173.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 028×	`lower-fma.f64`
5 028×	`lower-fma.f32`
3 454×	`lower-*.f64`
3 454×	`lower-*.f32`
1 366×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	864
1	102	864
2	297	864
3	993	756
4	2493	756
5	4972	756
6	7159	756
0	8120	756

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite216.0ms (5.1%)

Memory

13.8MiB live, 323.7MiB allocated

Rules

4 314×	`lower-fma.f32`
4 312×	`lower-fma.f64`
3 976×	`lower-*.f32`
3 968×	`lower-*.f64`
2 880×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	51
0	21	51
1	61	51
2	382	45
3	3700	45
0	8812	45

Stop Event

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

Counts

8 → 303

Calls

Call 1

Inputs
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
#s(approx (- (* x x) y) (*.f64 x x))
(*.f64 x x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
(fma.f64 x x (neg.f64 y))
(neg.f64 y)

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

eval179.0ms (4.2%)

Memory: -27.8MiB live, 97.9MiB allocated
Compiler: Compiled 10 648 to 992 computations (90.7% saved)

prune655.0ms (15.4%)

Memory

-3.0MiB live, 85.6MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	458	1	459
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	458	4	462

Accuracy

100.0%

Counts

462 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
✓	51.8%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
▶	2.6%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))
✓	50.0%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify16.0ms (0.4%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
216×	`lower-*.f32`
214×	`lower-*.f64`
80×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
0	9	16
1	13	16
2	24	16
3	42	16
4	65	16
5	93	16
6	163	16
7	260	16
8	410	16
9	465	16
10	499	16
0	499	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)

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

localize19.0ms (0.5%)

Memory

6.8MiB live, 45.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	62.31800830698248	#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

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

ival-mult: 5.0ms (81.8% of total)

ival-sub: 1.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

#s(alt #s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())

#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* y 1/2)
0.0ms	x	@	0	(* 1/2 (- (* x x) y))
0.0ms	y	@	inf	(* y 1/2)
0.0ms	y	@	-inf	(* y 1/2)
0.0ms	x	@	inf	(* 1/2 (- (* x x) y))

simplify113.0ms (2.7%)

Memory

-3.9MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 304×	`lower-fma.f64`
3 304×	`lower-fma.f32`
2 862×	`lower-*.f64`
2 862×	`lower-*.f32`
1 954×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	222
1	56	222
2	151	222
3	375	204
4	1023	186
5	3377	186
6	6099	186
0	8201	186

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

rewrite437.0ms (10.3%)

Memory

-3.8MiB live, 232.1MiB allocated

Rules

6 938×	`lower-fma.f64`
6 938×	`lower-fma.f32`
4 110×	`lower-/.f64`
4 110×	`lower-/.f32`
3 546×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
0	9	14
1	28	14
2	179	14
3	1646	14
0	8542	14

Stop Event

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

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))

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

eval4.0ms (0.1%)

Memory: 5.1MiB live, 5.1MiB allocated
Compiler: Compiled 248 to 11 computations (95.6% saved)

prune4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	39	4	43

Accuracy

100.0%

Counts

43 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
✓	51.8%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
✓	2.6%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))
✓	50.0%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 59 to 32 computations (45.8% saved)

regimes185.0ms (4.4%)

Memory

-22.7MiB live, 15.1MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))

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

Calls

5 calls:

176.0ms	x
2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	y
2.0ms	(-.f64 (*.f64 x x) y)
2.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 27 to 17 computations (37% saved)

regimes11.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

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

Calls

5 calls:

2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	(-.f64 (*.f64 x x) y)
2.0ms	y
2.0ms	x
2.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 27 to 17 computations (37% saved)

regimes10.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))

(*.f64 #s(literal 1/2 binary64) #s(approx (- (* x x) y) (*.f64 x x)))

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

Calls

5 calls:

2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	y
2.0ms	x
2.0ms	(-.f64 (*.f64 x x) y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
87.1%	2	`x`
66.3%	3	`y`
80.5%	2	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
80.5%	2	`(-.f64 (*.f64 x x) y)`
87.1%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes39.0ms (0.9%)

Memory

-26.4MiB live, 12.0MiB allocated

Accuracy

Total -30.9b remaining (-96.5%)

Threshold costs -30.9b (-96.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal 1/2 binary64)))

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

Calls

5 calls:

33.0ms	y
1.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
1.0ms	(-.f64 (*.f64 x x) y)
1.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
50.0%	1	`y`
50.0%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
50.0%	1	`(-.f64 (*.f64 x x) y)`
50.0%	1	`x`
50.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 17 computations (37% saved)

bsearch10.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.5217775281654632e+57	3.068151475129846e+61

Samples

4.0ms

128×

valid

Compiler

Compiled 124 to 91 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (59.5% of total)

ival-mult: 1.0ms (59.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify6.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	53
1	29	53
2	32	53
3	33	53

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(if (<=.f64 (.f64 x x) #s(literal 4800000000000000092684464663841168841538056056222209015808 binary64)) #s(approx ( 1/2 (- (* x x) y)) (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) #s(approx (- (* x x) y) (*.f64 x x))))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(if (<=.f64 (.f64 x x) #s(literal 4800000000000000092684464663841168841538056056222209015808 binary64)) #s(approx ( 1/2 (- (* x x) y)) (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) #s(approx (- (* x x) y) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 4800000000000000092684464663841168841538056056222209015808 binary64)) #s(approx ( 1/2 (- (* x x) y)) (.f64 y #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) #s(approx (- (* x x) y) (*.f64 x x))))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal -1/2 binary64)))

soundness400.0ms (9.4%)

Memory

-14.5MiB live, 234.8MiB allocated

Rules

6 946×	`lower-fma.f64`
6 946×	`lower-fma.f32`
5 028×	`lower-fma.f64`
5 028×	`lower-fma.f32`
4 110×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	27	15
2	178	15
3	1645	15
0	8532	15
0	35	327
1	102	327
2	297	327
3	993	291
4	2493	291
5	4972	291
6	7159	291
0	8120	291

Stop Event

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

Compiler

Compiled 69 to 37 computations (46.4% saved)

preprocess29.0ms (0.7%)

Memory: 1.0MiB live, 78.7MiB allocated
Remove: (abs x)
Compiler: Compiled 144 to 78 computations (45.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	46	35
2	129	35
3	381	35
4	678	35
5	844	35
6	882	35
7	882	35
0	6	7
0	9	7
1	12	7
2	23	7
3	45	7
4	71	7
5	99	7
6	169	7
7	266	7
8	410	7
9	466	7
10	496	7
0	496	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	23	18
3	45	18
4	71	18
5	99	18
6	169	18
7	266	18
8	410	18
9	466	18
10	496	18
0	496	18

Iter	Nodes	Cost
0	15	58
0	21	58
1	36	58
2	57	58
3	82	58
4	110	58
5	180	58
6	276	58
7	414	58
8	470	58
9	502	58
0	502	58

Iter	Nodes	Cost
0	8	16
0	9	16
1	13	16
2	24	16
3	42	16
4	65	16
5	93	16
6	163	16
7	260	16
8	410	16
9	465	16
10	499	16
0	499	16

Iter	Nodes	Cost
0	16	37
1	46	35
2	129	35
3	381	35
4	678	35
5	844	35
6	882	35
7	882	35
0	6	7
0	9	7
1	12	7
2	23	7
3	45	7
4	71	7
5	99	7
6	169	7
7	266	7
8	410	7
9	466	7
10	496	7
0	496	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	23	18
3	45	18
4	71	18
5	99	18
6	169	18
7	266	18
8	410	18
9	466	18
10	496	18
0	496	18

Iter	Nodes	Cost
0	15	58
0	21	58
1	36	58
2	57	58
3	82	58
4	110	58
5	180	58
6	276	58
7	414	58
8	470	58
9	502	58
0	502	58

Iter	Nodes	Cost
0	8	16
0	9	16
1	13	16
2	24	16
3	42	16
4	65	16
5	93	16
6	163	16
7	260	16
8	410	16
9	465	16
10	499	16
0	499	16

start0.0ms (0%)

analyze0.0ms (0%)

sample660.0ms (15.5%)

explain194.0ms (4.6%)

preprocess45.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.4%)

localize35.0ms (0.8%)

series4.0ms (0.1%)

simplify207.0ms (4.9%)

rewrite245.0ms (5.8%)

eval169.0ms (4%)

prune80.0ms (1.9%)

simplify17.0ms (0.4%)

localize82.0ms (1.9%)

series5.0ms (0.1%)

simplify158.0ms (3.7%)

rewrite216.0ms (5.1%)

eval179.0ms (4.2%)

prune655.0ms (15.4%)

simplify16.0ms (0.4%)

localize19.0ms (0.5%)

series1.0ms (0%)

simplify113.0ms (2.7%)

rewrite437.0ms (10.3%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

regimes185.0ms (4.4%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes39.0ms (0.9%)

bsearch10.0ms (0.2%)

simplify6.0ms (0.1%)

soundness400.0ms (9.4%)

preprocess29.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	46	35
2	129	35
3	381	35
4	678	35
5	844	35
6	882	35
7	882	35
0	6	7
0	9	7
1	12	7
2	23	7
3	45	7
4	71	7
5	99	7
6	169	7
7	266	7
8	410	7
9	466	7
10	496	7
0	496	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	23	18
3	45	18
4	71	18
5	99	18
6	169	18
7	266	18
8	410	18
9	466	18
10	496	18
0	496	18

Iter	Nodes	Cost
0	15	58
0	21	58
1	36	58
2	57	58
3	82	58
4	110	58
5	180	58
6	276	58
7	414	58
8	470	58
9	502	58
0	502	58

Iter	Nodes	Cost
0	8	16
0	9	16
1	13	16
2	24	16
3	42	16
4	65	16
5	93	16
6	163	16
7	260	16
8	410	16
9	465	16
10	499	16
0	499	16