Metrics for Statistics.Sample:$skurtosis from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample904.0ms (17.7%)

Memory

-16.3MiB live, 772.8MiB allocated

Samples

654.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-mult: 117.0ms (53% of total)

ival-div: 54.0ms (24.4% of total)

ival-sub: 37.0ms (16.7% of total)

ival-true: 6.0ms (2.7% of total)

exact: 5.0ms (2.3% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain67.0ms (1.3%)

Memory

20.0MiB live, 140.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
22	-	1	(-6.5395968116435625e-267 8.737574733014915e-160)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	9	0
↳	`(*.f64 y y)`	underflow	45

Confusion

	Predicted +	Predicted -
+	9	1
-	0	246

Precision

1.0

Recall

0.9

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	9	0	1
-	0	0	246

Precision?

1.0

Recall?

0.9

Freqs

test

number	freq
0	247
1	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 5.0ms (42.2% of total)

ival-div: 3.0ms (25.3% of total)

ival-sub: 2.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess45.0ms (0.9%)

Memory

-8.6MiB live, 30.5MiB allocated

Algorithm

1×	egg-herbie

Rules

720×	`times-frac`
152×	`associate-/r*`
146×	`associate-*r/`
132×	`associate-l`
130×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	43	37
2	115	35
3	300	35
4	666	35
5	1065	35
6	1542	35
7	1605	35
8	1629	35
9	1648	35
10	1652	35
0	6	7
0	9	7
1	14	7
2	15	7
0	15	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Symmetry

(abs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

4.6MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 x (*.f64 y y))
cost-diff	0	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Rules

6×	`lower-/.f32`
4×	`lower-+.f64`
4×	`lower-/.f64`
4×	`lower-+.f32`
2×	`lift-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	14	18
2	15	18
0	15	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)

Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)

localize21.0ms (0.4%)

Memory

-15.5MiB live, 23.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
accuracy	4.786705497867117	(/.f64 x (*.f64 y y))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (40.5% of total)

ival-mult: 2.0ms (40.5% of total)

ival-sub: 1.0ms (20.3% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())

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

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

Outputs
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt -3 (taylor inf y) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt -3 (taylor -inf y) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 x) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms	x	@	-inf	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms	x	@	inf	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms	y	@	inf	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms	y	@	0	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))

simplify134.0ms (2.6%)

Memory

-9.5MiB live, 106.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2 718×	`lower-fma.f64`
2 718×	`lower-fma.f32`
2 488×	`lower-*.f64`
2 488×	`lower-*.f32`
1 390×	`div-sub`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	21	372
1	43	372
2	103	372
3	250	372
4	478	372
5	788	372
6	1182	372
7	1868	300
8	2714	300
9	3373	300
10	3861	300
11	4121	300
12	4302	300
13	4791	300
14	5580	300
15	6242	300
16	7451	300
0	8065	300

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))

Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(- (/ x (pow y 2)) 3)
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(- (/ x (pow y 2)) 3)
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(- (/ x (pow y 2)) 3)
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(- (/ x (pow y 2)) 3)
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(- (/ x (pow y 2)) 3)
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(- (/ x (pow y 2)) 3)
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))

rewrite141.0ms (2.8%)

Memory

35.1MiB live, 236.6MiB allocated

Rules

4 186×	`lower-/.f32`
4 184×	`lower-/.f64`
3 186×	`lower-fma.f64`
3 186×	`lower-fma.f32`
3 038×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	38	15
2	288	15
3	3249	15
0	8174	14

Stop Event

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

Counts

3 → 227

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
(*.f64 y y)

Outputs
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eval50.0ms (1%)

Memory: -29.5MiB live, 124.9MiB allocated
Compiler: Compiled 6 591 to 666 computations (89.9% saved)

prune8.0ms (0.2%)

Memory

37.4MiB live, 37.4MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	281	6	287
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	281	7	288

Accuracy

100.0%

Counts

288 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))
▶	99.8%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
▶	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	96.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	99.9%	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
▶	42.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	55.8%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 87 to 82 computations (5.7% saved)

simplify41.0ms (0.8%)

Memory

-20.0MiB live, 65.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) (/.f64 y x))
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
cost-diff	448	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	320	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
cost-diff	-384	(/.f64 x (*.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
cost-diff	0	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
cost-diff	0	(/.f64 x y)
cost-diff	0	(/.f64 (/.f64 x y) y)
cost-diff	0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))

Rules

732×	`times-frac`
336×	`lower-fma.f32`
334×	`lower-fma.f64`
288×	`lower-*.f32`
284×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	106
0	39	98
1	63	98
2	116	98
3	221	98
4	335	98
5	791	98
6	1664	98
7	1948	98
8	1991	98
9	2002	98
10	2003	98
0	2003	98

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(literal -3 binary64)
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
#s(literal -1 binary64)
(*.f64 (neg.f64 y) (/.f64 y x))
(neg.f64 y)
y
(/.f64 y x)
x
#s(literal 3 binary64)

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
x
(*.f64 y y)
y
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(literal -3 binary64)
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (/.f64 x y) y)
#s(literal -1 binary64)
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (/.f64 (neg.f64 y) x) y)
(neg.f64 y)
y
(/.f64 y x)
x
#s(literal 3 binary64)

localize85.0ms (1.7%)

Memory

4.6MiB live, 123.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
accuracy	0.13671875	(*.f64 (neg.f64 y) (/.f64 y x))
accuracy	0.3996565442647296	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
accuracy	0	(/.f64 (neg.f64 x) y)
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 x)
accuracy	0.10546875	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
accuracy	0	(*.f64 y y)
accuracy	4.786705497867117	(/.f64 x (*.f64 y y))
accuracy	34.41237396107598	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
accuracy	28.27472539125884	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy	0.14453125	(/.f64 (/.f64 x y) y)

Samples

72.0ms

256×

valid

Compiler

Compiled 101 to 23 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 44.0ms (77.3% of total)

ival-mult: 5.0ms (8.8% of total)

ival-neg: 4.0ms (7% of total)

ival-sub: 3.0ms (5.3% of total)

ival-add: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.4%)

Memory

11.8MiB live, 50.3MiB allocated

Counts

15 → 312

Calls

Call 1

Inputs
#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 x (.f64 y y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) (/.f64 y x)) (patch (.f64 (neg.f64 y) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())

Outputs
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 x (.f64 y y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 x (.f64 y y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 x (.f64 y y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 x (.f64 y y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor inf x) (#s(alt (.f64 (neg.f64 y) (/.f64 y x)) (patch (.f64 (neg.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor inf x) (#s(alt (.f64 (neg.f64 y) (/.f64 y x)) (patch (.f64 (neg.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor inf x) (#s(alt (.f64 (neg.f64 y) (/.f64 y x)) (patch (.f64 (neg.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor inf x) (#s(alt (.f64 (neg.f64 y) (/.f64 y x)) (patch (.f64 (neg.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 x (.f64 y y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 x (.f64 y y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 x (.f64 y y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 x (.f64 y y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor -inf x) (#s(alt (.f64 (neg.f64 y) (/.f64 y x)) (patch (.f64 (neg.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor -inf x) (#s(alt (.f64 (neg.f64 y) (/.f64 y x)) (patch (.f64 (neg.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor -inf x) (#s(alt (.f64 (neg.f64 y) (/.f64 y x)) (patch (.f64 (neg.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor -inf x) (#s(alt (.f64 (neg.f64 y) (/.f64 y x)) (patch (.f64 (neg.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))
3.0ms	x	@	-inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))
2.0ms	y	@	0	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))
2.0ms	x	@	inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))
1.0ms	x	@	0	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))

simplify199.0ms (3.9%)

Memory

-19.2MiB live, 155.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 830×	`lower-fma.f64`
2 830×	`lower-fma.f32`
2 628×	`lower-*.f64`
2 628×	`lower-*.f32`
1 410×	`div-sub`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	28	1872
1	60	1872
2	129	1872
3	301	1872
4	578	1872
5	1042	1872
6	1645	1872
7	2254	1512
8	2980	1512
9	3323	1512
10	3707	1512
11	3937	1512
12	4118	1512
13	4600	1512
14	5413	1512
15	6153	1512
16	7452	1512
0	8075	1512

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))

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

rewrite125.0ms (2.5%)

Memory

-2.5MiB live, 229.9MiB allocated

Rules

5 870×	`lower-fma.f32`
5 868×	`lower-fma.f64`
4 080×	`lower-*.f32`
4 076×	`lower-*.f64`
2 392×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	89
0	39	81
1	153	81
2	1142	81
0	8904	76

Stop Event

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

Counts

15 → 608

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(*.f64 y y)
(/.f64 x (*.f64 y y))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
(*.f64 (neg.f64 y) (/.f64 y x))
(neg.f64 y)

Outputs
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eval133.0ms (2.6%)

Memory: 4.5MiB live, 317.7MiB allocated
Compiler: Compiled 13 433 to 1 107 computations (91.8% saved)

prune50.0ms (1%)

Memory

-12.6MiB live, 116.4MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	915	5	920
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	919	8	927

Accuracy

100.0%

Counts

927 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	46.1%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
▶	30.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x)))
✓	42.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	46.1%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
▶	26.6%	#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))))
▶	46.1%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
✓	55.8%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 117 to 89 computations (23.9% saved)

simplify94.0ms (1.9%)

Memory

10.8MiB live, 127.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 y x) y)
cost-diff	0	(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))))
cost-diff	13888	(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x)))
cost-diff	512	(/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
cost-diff	448	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 (/.f64 y x) y)
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
cost-diff	0	(/.f64 x y)
cost-diff	0	(/.f64 (/.f64 x y) y)
cost-diff	0	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))

Rules

2 968×	`lower-*.f32`
2 956×	`lower-*.f64`
2 306×	`lower-fma.f64`
2 306×	`lower-fma.f32`
1 534×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	198
0	49	156
1	88	156
2	198	156
3	662	156
4	1847	156
5	4088	156
6	5949	156
7	7296	156
8	7879	156
0	8047	156

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x)))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(.f64 (.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
#s(literal -1/2 binary64)

Outputs
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (/.f64 x y) y)
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x)))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (/.f64 x y) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(.f64 (.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))
(/.f64 (/.f64 x y) y)
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
#s(literal -1/2 binary64)

localize78.0ms (1.5%)

Memory

14.7MiB live, 214.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.078125	(*.f64 (/.f64 y x) y)
accuracy	0.12109375	(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))
accuracy	16.713821939750183	(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))
accuracy	19.154481384381377	#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))))
accuracy	0	(neg.f64 x)
accuracy	3.612306984128839	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	11.576593828628416	(/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x))
accuracy	19.154481384381377	#s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x)))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 x)
accuracy	0.109375	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
accuracy	19.154481384381377	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(/.f64 y x)
accuracy	0.078125	(*.f64 (/.f64 y x) y)
accuracy	0.15595272712428582	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy	19.154481384381377	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
accuracy	0	(/.f64 x y)
accuracy	0.08203125	(/.f64 (/.f64 x y) y)
accuracy	19.154481384381377	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))

Samples

31.0ms	144×	0	valid
27.0ms	112×	0	invalid

Compiler

Compiled 149 to 28 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 23.0ms (54% of total)

ival-mult: 11.0ms (25.8% of total)

ival-pow: 4.0ms (9.4% of total)

ival-sub: 2.0ms (4.7% of total)

ival-neg: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.6%)

Memory

-4.7MiB live, 75.7MiB allocated

Counts

19 → 420

Calls

Call 1

Inputs
#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (- (/ x ( y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) x) (patch (.f64 (neg.f64 x) x) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))) (patch #s(approx (- (/ x ( y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())

Outputs
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) #<representation binary64>) () ())) ())
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#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (- (/ x ( y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (- (/ x ( y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (- (/ x ( y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (- (/ x ( y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 y) y) x))) (patch #s(approx (- (/ x ( y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) x) (patch (.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) x) (patch (.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) x) (patch (.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) x) (patch (.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))) (patch #s(approx (- (/ x ( y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))) (patch #s(approx (- (/ x ( y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))) (patch #s(approx (- (/ x ( y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))) (patch #s(approx (- (/ x ( y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (/ 1 (* (/ y x) y)) (- (/ x (* y y)) 3) (* (/ y x) y) (/ y x) (* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (/ (* (neg x) x) (* (* (neg y) y) x)) (- (/ x (* y y)) 3) (* (neg x) x) (* (pow (* (/ y x) y) -1/2) (pow (* (/ y x) y) -1/2)) (- (/ x (* y y)) 3) (pow (* (/ y x) y) -1/2) (/ -1 y) (* (* (neg y) y) x))
2.0ms	x	@	inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (/ 1 (* (/ y x) y)) (- (/ x (* y y)) 3) (* (/ y x) y) (/ y x) (* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (/ (* (neg x) x) (* (* (neg y) y) x)) (- (/ x (* y y)) 3) (* (neg x) x) (* (pow (* (/ y x) y) -1/2) (pow (* (/ y x) y) -1/2)) (- (/ x (* y y)) 3) (pow (* (/ y x) y) -1/2) (/ -1 y) (* (* (neg y) y) x))
2.0ms	y	@	0	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (/ 1 (* (/ y x) y)) (- (/ x (* y y)) 3) (* (/ y x) y) (/ y x) (* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (/ (* (neg x) x) (* (* (neg y) y) x)) (- (/ x (* y y)) 3) (* (neg x) x) (* (pow (* (/ y x) y) -1/2) (pow (* (/ y x) y) -1/2)) (- (/ x (* y y)) 3) (pow (* (/ y x) y) -1/2) (/ -1 y) (* (* (neg y) y) x))
2.0ms	x	@	0	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (/ 1 (* (/ y x) y)) (- (/ x (* y y)) 3) (* (/ y x) y) (/ y x) (* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (/ (* (neg x) x) (* (* (neg y) y) x)) (- (/ x (* y y)) 3) (* (neg x) x) (* (pow (* (/ y x) y) -1/2) (pow (* (/ y x) y) -1/2)) (- (/ x (* y y)) 3) (pow (* (/ y x) y) -1/2) (/ -1 y) (* (* (neg y) y) x))
2.0ms	y	@	inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (/ 1 (* (/ y x) y)) (- (/ x (* y y)) 3) (* (/ y x) y) (/ y x) (* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (/ (* (neg x) x) (* (* (neg y) y) x)) (- (/ x (* y y)) 3) (* (neg x) x) (* (pow (* (/ y x) y) -1/2) (pow (* (/ y x) y) -1/2)) (- (/ x (* y y)) 3) (pow (* (/ y x) y) -1/2) (/ -1 y) (* (* (neg y) y) x))

simplify98.0ms (1.9%)

Memory

-7.7MiB live, 159.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2 336×	`lower-fma.f64`
2 336×	`lower-fma.f32`
2 080×	`lower-*.f64`
2 080×	`lower-*.f32`
1 302×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	2140
1	97	2092
2	271	2092
3	675	2092
4	2647	2092
5	5691	2092
6	7985	2092
0	8146	2077

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (* (sqrt x) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))

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

rewrite368.0ms (7.2%)

Memory

-3.4MiB live, 191.3MiB allocated

Rules

4 172×	`lower-fma.f64`
4 172×	`lower-fma.f32`
3 034×	`lower-*.f32`
3 022×	`lower-*.f64`
2 490×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	169
0	49	127
1	172	127
2	1057	127
3	7653	127
0	8607	122

Stop Event

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

Counts

19 → 785

Calls

Call 1

Inputs
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
(*.f64 (/.f64 y x) y)
(/.f64 y x)
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
(/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x))
#s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x)))
(*.f64 (neg.f64 x) x)
(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))
#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) y)
(.f64 (.f64 (neg.f64 y) y) x)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval567.0ms (11.1%)

Memory: -0.8MiB live, 426.4MiB allocated
Compiler: Compiled 21 895 to 2 453 computations (88.8% saved)

prune35.0ms (0.7%)

Memory

-2.3MiB live, 115.3MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 658	3	1 661
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	1 660	9	1 669

Accuracy

100.0%

Counts

1 669 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	46.1%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
▶	30.3%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)))
✓	42.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	46.1%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
▶	26.3%	#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))))
▶	38.9%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))))
✓	46.1%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
✓	55.8%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 74 to 61 computations (17.6% saved)

simplify108.0ms (2.1%)

Memory

27.7MiB live, 150.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)))
cost-diff	256	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
cost-diff	0	(*.f64 (/.f64 y x) y)
cost-diff	0	(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))))
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))))
cost-diff	448	(/.f64 (neg.f64 x) (*.f64 y x))
cost-diff	448	(.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))

Rules

5 280×	`lower-*.f32`
5 266×	`lower-*.f64`
2 898×	`lower-fma.f64`
2 898×	`lower-fma.f32`
1 294×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	170
0	47	174
1	77	164
2	159	147
3	442	147
4	1604	147
5	3537	147
6	5508	147
7	6475	147
8	6899	147
0	8224	147

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 (neg.f64 x) (*.f64 y x))
(*.f64 y x)
#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))))
(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
#s(literal -1/2 binary64)
#s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
(*.f64 x x)
x
(.f64 (.f64 y y) x)
(*.f64 y y)
y

Outputs
#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))
(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 (neg.f64 x) (*.f64 y x))
(/.f64 #s(literal -1 binary64) y)
(*.f64 y x)
#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))))
#s(approx (- (/ x (* y y)) 3) (.f64 #s(approx (pow ( (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))
(.f64 #s(approx (pow ( (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
#s(literal -1/2 binary64)
#s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
(/.f64 (/.f64 x y) y)
(*.f64 x x)
x
(.f64 (.f64 y y) x)
(*.f64 y y)
y

localize79.0ms (1.5%)

Memory

-19.6MiB live, 220.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	3.612306984128839	(.f64 (.f64 y y) x)
accuracy	11.576593828628416	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
accuracy	19.154481384381377	#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)))
accuracy	0.12109375	(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))
accuracy	0.171875	(/.f64 (sqrt.f64 x) y)
accuracy	16.713821939750183	(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))
accuracy	19.154481384381377	#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))))
accuracy	0	(neg.f64 x)
accuracy	0.109375	(.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))
accuracy	7.236772318503159	(/.f64 (neg.f64 x) (*.f64 y x))
accuracy	19.154481384381377	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))))

Samples

40.0ms	144×	0	valid
21.0ms	112×	0	invalid

Compiler

Compiled 119 to 26 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 21.0ms (46.1% of total)

ival-div: 15.0ms (32.9% of total)

ival-pow: 4.0ms (8.8% of total)

ival-sub: 2.0ms (4.4% of total)

ival-sqrt: 2.0ms (4.4% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory

-8.2MiB live, 71.0MiB allocated

Counts

14 → 312

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())

Outputs
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt -3 (taylor inf y) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) (patch (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (.f64 y x)) (patch (/.f64 (neg.f64 x) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) (patch #s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) (patch (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) (patch #s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((* (/ (neg x) y) (/ (neg x) (* y x))) (/ (neg x) (* y x)) (- (/ x (* y y)) 3) (/ (neg x) y) (- (/ x (* y y)) 3) (* (pow (* (/ y x) y) -1/2) (pow (* (/ y x) y) -1/2)) (pow (* (/ y x) y) -1/2) (* (/ y x) y) (/ (* x x) (* (* y y) x)) (- (/ (/ x y) y) 3) (* x x) (* (* y y) x) (neg x) (/ (sqrt x) y))
3.0ms	x	@	0	((* (/ (neg x) y) (/ (neg x) (* y x))) (/ (neg x) (* y x)) (- (/ x (* y y)) 3) (/ (neg x) y) (- (/ x (* y y)) 3) (* (pow (* (/ y x) y) -1/2) (pow (* (/ y x) y) -1/2)) (pow (* (/ y x) y) -1/2) (* (/ y x) y) (/ (* x x) (* (* y y) x)) (- (/ (/ x y) y) 3) (* x x) (* (* y y) x) (neg x) (/ (sqrt x) y))
2.0ms	x	@	inf	((* (/ (neg x) y) (/ (neg x) (* y x))) (/ (neg x) (* y x)) (- (/ x (* y y)) 3) (/ (neg x) y) (- (/ x (* y y)) 3) (* (pow (* (/ y x) y) -1/2) (pow (* (/ y x) y) -1/2)) (pow (* (/ y x) y) -1/2) (* (/ y x) y) (/ (* x x) (* (* y y) x)) (- (/ (/ x y) y) 3) (* x x) (* (* y y) x) (neg x) (/ (sqrt x) y))
2.0ms	y	@	0	((* (/ (neg x) y) (/ (neg x) (* y x))) (/ (neg x) (* y x)) (- (/ x (* y y)) 3) (/ (neg x) y) (- (/ x (* y y)) 3) (* (pow (* (/ y x) y) -1/2) (pow (* (/ y x) y) -1/2)) (pow (* (/ y x) y) -1/2) (* (/ y x) y) (/ (* x x) (* (* y y) x)) (- (/ (/ x y) y) 3) (* x x) (* (* y y) x) (neg x) (/ (sqrt x) y))
2.0ms	y	@	-inf	((* (/ (neg x) y) (/ (neg x) (* y x))) (/ (neg x) (* y x)) (- (/ x (* y y)) 3) (/ (neg x) y) (- (/ x (* y y)) 3) (* (pow (* (/ y x) y) -1/2) (pow (* (/ y x) y) -1/2)) (pow (* (/ y x) y) -1/2) (* (/ y x) y) (/ (* x x) (* (* y y) x)) (- (/ (/ x y) y) 3) (* x x) (* (* y y) x) (neg x) (/ (sqrt x) y))

simplify90.0ms (1.8%)

Memory

-20.3MiB live, 112.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 310×	`lower-fma.f64`
2 310×	`lower-fma.f32`
2 126×	`lower-*.f64`
2 126×	`lower-*.f32`
962×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	1588
1	89	1492
2	250	1492
3	610	1492
4	2385	1492
5	5362	1492
6	7566	1492
0	8013	1483

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (* (sqrt x) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))

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

rewrite136.0ms (2.7%)

Memory

6.8MiB live, 199.8MiB allocated

Rules

4 074×	`lower-*.f32`
4 060×	`lower-*.f64`
3 976×	`lower-fma.f64`
3 976×	`lower-fma.f32`
2 348×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	140
0	47	147
1	166	121
2	962	102
3	7356	102
0	8445	99

Stop Event

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

Counts

14 → 572

Calls

Call 1

Inputs
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x)))
(/.f64 (neg.f64 x) (*.f64 y x))
#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))))
(/.f64 (neg.f64 x) y)
#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))))
(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y)))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 y x) y)
(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)))
(*.f64 x x)
(.f64 (.f64 y y) x)
(neg.f64 x)
(/.f64 (sqrt.f64 x) y)

Outputs
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eval108.0ms (2.1%)

Memory: 24.3MiB live, 171.6MiB allocated
Compiler: Compiled 12 518 to 1 979 computations (84.2% saved)

prune22.0ms (0.4%)

Memory

18.5MiB live, 56.0MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	923	0	923
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	923	9	932

Accuracy

100.0%

Counts

932 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	46.1%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
✓	30.3%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)))
✓	42.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	46.1%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
✓	26.3%	#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))))
✓	38.9%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))))
✓	46.1%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
✓	55.8%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 208 to 115 computations (44.7% saved)

regimes28.0ms (0.5%)

Memory

-17.6MiB live, 33.9MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)))
#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x)))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 y x))))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(approx (pow (* (/ y x) y) -1/2) (/.f64 (sqrt.f64 x) y))))
#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))))

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))

Calls

5 calls:

9.0ms	(/.f64 x (*.f64 y y))
5.0ms	x
5.0ms	y
4.0ms	(*.f64 y y)
4.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
99.9%	1	`(/.f64 x (*.f64 y y))`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes10.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))

Outputs
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Calls

5 calls:

2.0ms	x
2.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(/.f64 x (*.f64 y y))
2.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
96.4%	1	`x`
99.9%	2	`y`
98.5%	2	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
98.5%	2	`(/.f64 x (*.f64 y y))`
99.9%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes14.0ms (0.3%)

Memory

-21.2MiB live, 15.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Calls

5 calls:

7.0ms	(*.f64 y y)
2.0ms	x
2.0ms	y
2.0ms	(/.f64 x (*.f64 y y))
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
96.4%	1	`x`
96.4%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
96.4%	1	`(/.f64 x (*.f64 y y))`
96.4%	1	`y`
96.4%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))

Outputs
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))

Calls

5 calls:

2.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
69.0%	3	`x`
84.1%	2	`y`
95.5%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
95.5%	3	`(/.f64 x (*.f64 y y))`
84.1%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes10.0ms (0.2%)

Memory

-25.3MiB live, 12.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Outputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Calls

5 calls:

5.0ms	x
1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
55.8%	1	`x`
55.8%	1	`y`
55.8%	1	`(*.f64 y y)`
55.8%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
55.8%	1	`(/.f64 x (*.f64 y y))`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.71443584699726e-295	5.805169036925014e-293

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch21.0ms (0.4%)

Memory

25.8MiB live, 25.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.2383948674447209e-5	28.70506461045016
10.0ms	-23925743827512784.0	-3.3361471242141803e-6

Samples

8.0ms

320×

valid

Compiler

Compiled 90 to 191 computations (-112.2% saved)

Precisions

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

ival-sub: 2.0ms (95.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify27.0ms (0.5%)

Memory

6.4MiB live, 43.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	100
1	29	100
2	35	100
3	37	100
4	38	100

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (.f64 y y) #s(literal 5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x ( y y)) 3) (/.f64 x (.f64 y y))) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (.f64 y y) #s(literal 5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x ( y y)) 3) (/.f64 x (.f64 y y))) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

soundness1.0s (20.3%)

Memory

-24.7MiB live, 296.7MiB allocated

Rules

4 186×	`lower-/.f32`
4 184×	`lower-/.f64`
3 186×	`lower-fma.f64`
3 186×	`lower-fma.f32`
3 038×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	372
1	43	372
2	103	372
3	250	372
4	478	372
5	788	372
6	1182	372
7	1868	300
8	2714	300
9	3373	300
10	3861	300
11	4121	300
12	4302	300
13	4791	300
14	5580	300
15	6242	300
16	7451	300
0	8065	300
0	6	15
0	9	15
1	38	15
2	288	15
3	3249	15
0	8174	14
0	28	1872
1	60	1872
2	129	1872
3	301	1872
4	578	1872
5	1042	1872
6	1645	1872
7	2254	1512
8	2980	1512
9	3323	1512
10	3707	1512
11	3937	1512
12	4118	1512
13	4600	1512
14	5413	1512
15	6153	1512
16	7452	1512
0	8075	1512

Stop Event

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

Compiler

Compiled 105 to 52 computations (50.5% saved)

preprocess63.0ms (1.2%)

Memory: 32.8MiB live, 112.8MiB allocated
Remove: (abs y)
Compiler: Compiled 234 to 112 computations (52.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze11.0ms (0.2%)

sample904.0ms (17.7%)

explain67.0ms (1.3%)

preprocess45.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize21.0ms (0.4%)

series6.0ms (0.1%)

simplify134.0ms (2.6%)

rewrite141.0ms (2.8%)

eval50.0ms (1%)

prune8.0ms (0.2%)

simplify41.0ms (0.8%)

localize85.0ms (1.7%)

series20.0ms (0.4%)

simplify199.0ms (3.9%)

rewrite125.0ms (2.5%)

eval133.0ms (2.6%)

prune50.0ms (1%)

simplify94.0ms (1.9%)

localize78.0ms (1.5%)

series28.0ms (0.6%)

simplify98.0ms (1.9%)

rewrite368.0ms (7.2%)

eval567.0ms (11.1%)

prune35.0ms (0.7%)

simplify108.0ms (2.1%)

localize79.0ms (1.5%)

series23.0ms (0.4%)

simplify90.0ms (1.8%)

rewrite136.0ms (2.7%)

eval108.0ms (2.1%)

prune22.0ms (0.4%)

regimes28.0ms (0.5%)

regimes10.0ms (0.2%)

regimes14.0ms (0.3%)

regimes8.0ms (0.1%)

regimes10.0ms (0.2%)

bsearch0.0ms (0%)

bsearch21.0ms (0.4%)

simplify27.0ms (0.5%)

soundness1.0s (20.3%)

preprocess63.0ms (1.2%)

end0.0ms (0%)

Profiling