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

0.4MiB live, 0.4MiB 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)

sample562.0ms (19.5%)

Memory

16.4MiB live, 743.5MiB allocated

Samples

322.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult: 117.0ms (68% of total)

ival-sub: 41.0ms (23.8% of total)

ival-true: 6.0ms (3.5% of total)

exact: 5.0ms (2.9% of total)

ival-assert: 4.0ms (2.3% of total)

Bogosity

explain184.0ms (6.4%)

Memory

-17.2MiB live, 67.9MiB 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

23.0ms

512×

valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

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

ival-mult: 7.0ms (67.2% of total)

ival-sub: 2.0ms (19.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess41.0ms (1.4%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Rules

168×	`lower-fma.f64`
168×	`lower-fma.f32`
108×	`lower-*.f32`
106×	`lower-*.f64`
100×	`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))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x y))

Symmetry

(abs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 (0.6%)

Memory

14.9MiB live, 14.9MiB 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

168×	`lower-fma.f64`
168×	`lower-fma.f32`
108×	`lower-*.f32`
106×	`lower-*.f64`
40×	`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))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x y))
#s(literal 1/2 binary64)
(-.f64 (*.f64 x x) y)
(*.f64 x x)
x
y

localize22.0ms (0.8%)

Memory

-7.4MiB live, 30.1MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

16.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (78.4% of total)

ival-sub: 1.0ms (13.1% 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

7.3MiB live, 7.3MiB 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))

simplify157.0ms (5.5%)

Memory

-16.1MiB live, 100.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2 514×	`lower-fma.f64`
2 514×	`lower-fma.f32`
1 727×	`lower-*.f64`
1 727×	`lower-*.f32`
683×	`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 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(* -1 y)
(neg.f64 y)
(- (pow x 2) y)
(fma.f64 x x (neg.f64 y))
(- (pow x 2) y)
(fma.f64 x x (neg.f64 y))
(- (pow x 2) y)
(fma.f64 x x (neg.f64 y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(fma.f64 x x (neg.f64 y))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(fma.f64 x x (neg.f64 y))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(fma.f64 x x (neg.f64 y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(fma.f64 x x (neg.f64 y))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(fma.f64 x x (neg.f64 y))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(fma.f64 x x (neg.f64 y))
(pow x 2)
(*.f64 x x)
(+ (* -1 y) (pow x 2))
(fma.f64 x x (neg.f64 y))
(+ (* -1 y) (pow x 2))
(fma.f64 x x (neg.f64 y))
(+ (* -1 y) (pow x 2))
(fma.f64 x x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* y (- (/ (pow x 2) y) 1))
(fma.f64 x x (neg.f64 y))
(* y (- (/ (pow x 2) y) 1))
(fma.f64 x x (neg.f64 y))
(* y (- (/ (pow x 2) y) 1))
(fma.f64 x x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(fma.f64 x x (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(fma.f64 x x (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(fma.f64 x x (neg.f64 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)

rewrite297.0ms (10.3%)

Memory

21.4MiB live, 303.4MiB allocated

Rules

3 473×	`lower-fma.f64`
3 473×	`lower-fma.f32`
2 055×	`lower-/.f64`
2 055×	`lower-/.f32`
1 775×	`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 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (fma.f64 x x (neg.f64 y))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (-.f64 y (*.f64 x x)))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (fma.f64 x x (neg.f64 y))) (.f64 (fma.f64 x x y) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x (neg.f64 y)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y)) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (fma.f64 x x y) y)))) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (fma.f64 x x y) y)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 x x y) y) y) (fma.f64 x x y)) (.f64 (fma.f64 x x y) y) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (fma.f64 (.f64 (fma.f64 x x y) y) (fma.f64 (fma.f64 x x y) y (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x))))
(.f64 (.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x (neg.f64 y))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x y)))
(.f64 (.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 (fma.f64 x x y) y))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x (neg.f64 y)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x y)))
(.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 (fma.f64 x x y) y))))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))))))
(.f64 (neg.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (fma.f64 x x (neg.f64 y)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x y)))
(.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 (fma.f64 x x y) y))))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (fma.f64 x x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x y)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 (fma.f64 x x y) y))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 x x y) (fma.f64 x x (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))
(.f64 (.f64 (fma.f64 x x y) (fma.f64 x x (neg.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x y)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 (fma.f64 x x y) y))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x (neg.f64 y))) #s(literal 1/2 binary64))) (fma.f64 x x y))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x (neg.f64 y))))) (fma.f64 x x y))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (fma.f64 x x (neg.f64 y))))) (fma.f64 x x y))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (fma.f64 x x (neg.f64 y))) (*.f64 (fma.f64 x x y) (fma.f64 x x (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y))))
(/.f64 (.f64 (.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x (neg.f64 y))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x x y)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x (neg.f64 y)))) (neg.f64 (fma.f64 x x y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (fma.f64 x x (neg.f64 y)))) (neg.f64 (fma.f64 x x y)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (fma.f64 x x (neg.f64 y))) (fma.f64 x x y))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x y)) (.f64 (.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x (neg.f64 y))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y))) (.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x y)) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x (neg.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y))) (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y)))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal -1/8 binary64) (.f64 (*.f64 y y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y))))
(fma.f64 #s(literal -1/2 binary64) y (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/2 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
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(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 y y)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))))) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 (fma.f64 x x y) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x y))) (neg.f64 (fma.f64 x x (neg.f64 y))))
(-.f64 (/.f64 (.f64 y y) (neg.f64 (fma.f64 x x y))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (neg.f64 (fma.f64 x x y))))
(-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (neg.f64 y))))
(-.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 x (fma.f64 x x y))) (.f64 y (/.f64 y (fma.f64 x x y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y))) (.f64 (.f64 y y) (/.f64 y (fma.f64 (.f64 (.f64 x x) x) x (*.f64 (fma.f64 x x y) y)))))
(-.f64 (*.f64 x x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y)))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x (neg.f64 y)))
(+.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 x (fma.f64 x x y))) (neg.f64 (.f64 y (/.f64 y (fma.f64 x x y)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 x x y) y))) (neg.f64 (.f64 (.f64 y y) (/.f64 y (fma.f64 (.f64 (.f64 x x) x) x (*.f64 (fma.f64 x x y) y))))))
(+.f64 (neg.f64 y) (*.f64 x x))
(+.f64 (*.f64 x x) (neg.f64 y))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 0 binary64)) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 0 binary64)))))
(fma.f64 x x #s(literal 0 binary64))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (*.f64 x x) #s(literal 0 binary64))

eval169.0ms (5.9%)

Memory: -10.1MiB live, 70.6MiB allocated
Compiler: Compiled 14 361 to 902 computations (93.7% saved)

prune53.0ms (1.8%)

Memory

-22.5MiB live, 102.0MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	324	2	326
Fresh	0	0	0
Picked	0	1	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) (-.f64 (.f64 x x) y))
▶	56.1%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
▶	46.4%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal -1/2 binary64)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify15.0ms (0.5%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

168×	`lower-fma.f64`
168×	`lower-fma.f32`
110×	`lower-*.f32`
107×	`lower-*.f64`
40×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	15	41
1	20	41
2	31	41
3	52	41
4	77	41
5	105	41
6	175	41
7	274	41
8	415	41
9	471	41
10	503	41
0	503	41

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)
(.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

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

localize31.0ms (1.1%)

Memory

-18.0MiB live, 20.8MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
accuracy	28.11783289668937	#s(approx (- (* x x) y) (*.f64 x x))
accuracy	0	(*.f64 y #s(literal -1/2 binary64))
accuracy	34.29574891172754	#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal -1/2 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

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

ival-mult: 5.0ms (79% of total)

ival-sub: 1.0ms (15.8% 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

4.2MiB live, 4.2MiB allocated

Counts

5 → 96

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>) () ())
#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>) () ())

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>) () ())) ())
#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>) () ())) ())

Calls

24 calls:

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

simplify146.0ms (5.1%)

Memory

29.8MiB live, 102.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2 514×	`lower-fma.f64`
2 514×	`lower-fma.f32`
1 727×	`lower-*.f64`
1 727×	`lower-*.f32`
683×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	549
1	102	549
2	297	549
3	993	477
4	2493	477
5	4972	477
6	7159	477
0	8120	477

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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)

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

rewrite219.0ms (7.6%)

Memory

-2.4MiB live, 246.0MiB allocated

Rules

3 475×	`lower-fma.f64`
3 475×	`lower-fma.f32`
2 055×	`lower-/.f64`
2 055×	`lower-/.f32`
1 779×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
0	15	37
1	35	37
2	186	37
3	1656	37
0	8520	37

Stop Event

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

Counts

5 → 26

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))
(.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)

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

eval12.0ms (0.4%)

Memory: -12.7MiB live, 25.9MiB allocated
Compiler: Compiled 891 to 64 computations (92.8% saved)

prune7.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	122	3	125

Accuracy

100.0%

Counts

125 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
✓	56.1%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
✓	46.4%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal -1/2 binary64)))

Compiler

Compiled 42 to 24 computations (42.9% saved)

regimes125.0ms (4.3%)

Memory

-21.1MiB live, 15.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#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:

117.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	y
2.0ms	(-.f64 (*.f64 x x) 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)

regimes8.0ms (0.3%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

Results

Accuracy	Segments	Branch
88.3%	2	`x`
67.4%	3	`y`
82.5%	2	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
82.5%	2	`(-.f64 (*.f64 x x) y)`
88.3%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes7.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
46.4%	1	`y`
46.4%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
46.4%	1	`(-.f64 (*.f64 x x) y)`
46.4%	1	`x`
46.4%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 17 computations (37% saved)

bsearch25.0ms (0.9%)

Memory

-30.9MiB live, 10.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	5.48672599079292e-45	1.656513289350551e-41

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% of total)

ival-mult: 1.0ms (59% of total)

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

exact: 0.0ms (0% of total)

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

simplify6.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	22	46
2	27	46
3	29	46
4	30	46

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x x) #s(literal 4511666872309177/392318858461667547739736838950479151006397215279002157056 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 y #s(literal -1/2 binary64)))

Outputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 4511666872309177/392318858461667547739736838950479151006397215279002157056 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))))
(if (<=.f64 (.f64 x x) #s(literal 4511666872309177/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx ( 1/2 (- (* x x) y)) (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(approx (- (* x x) y) (*.f64 x x)) #s(literal 1/2 binary64)))
#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))

soundness726.0ms (25.2%)

Memory

-2.1MiB live, 112.1MiB allocated

Rules

2 514×	`lower-fma.f64`
2 514×	`lower-fma.f32`
1 727×	`lower-*.f64`
1 727×	`lower-*.f32`
683×	`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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 46 to 25 computations (45.7% saved)

preprocess41.0ms (1.4%)

Memory: 8.4MiB live, 84.8MiB allocated
Remove: (abs x)
Compiler: Compiled 130 to 72 computations (44.6% 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	12	41
0	15	41
1	20	41
2	31	41
3	52	41
4	77	41
5	105	41
6	175	41
7	274	41
8	415	41
9	471	41
10	503	41
0	503	41

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	12	41
0	15	41
1	20	41
2	31	41
3	52	41
4	77	41
5	105	41
6	175	41
7	274	41
8	415	41
9	471	41
10	503	41
0	503	41

start0.0ms (0%)

analyze0.0ms (0%)

sample562.0ms (19.5%)

explain184.0ms (6.4%)

preprocess41.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.6%)

localize22.0ms (0.8%)

series4.0ms (0.1%)

simplify157.0ms (5.5%)

rewrite297.0ms (10.3%)

eval169.0ms (5.9%)

prune53.0ms (1.8%)

simplify15.0ms (0.5%)

localize31.0ms (1.1%)

series4.0ms (0.1%)

simplify146.0ms (5.1%)

rewrite219.0ms (7.6%)

eval12.0ms (0.4%)

prune7.0ms (0.2%)

regimes125.0ms (4.3%)

regimes8.0ms (0.3%)

regimes7.0ms (0.2%)

bsearch25.0ms (0.9%)

simplify6.0ms (0.2%)

soundness726.0ms (25.2%)

preprocess41.0ms (1.4%)

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	12	41
0	15	41
1	20	41
2	31	41
3	52	41
4	77	41
5	105	41
6	175	41
7	274	41
8	415	41
9	471	41
10	503	41
0	503	41