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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze12.0ms (0.3%)

Memory

-15.5MiB live, 23.9MiB 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)

sample547.0ms (11.2%)

Memory

27.6MiB live, 1 137.0MiB allocated

Samples

336.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-mult: 68.0ms (37.7% of total)

ival-div: 61.0ms (33.8% of total)

ival-sub: 38.0ms (21% of total)

ival-true: 6.0ms (3.3% of total)

exact: 5.0ms (2.8% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain65.0ms (1.3%)

Memory

-6.4MiB live, 114.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
37	-	1	(1.6805838167447315e-197 2.9123599644361624e-159)	`(/.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	20	0
↳	`(*.f64 y y)`	underflow	56

Confusion

	Predicted +	Predicted -
+	20	1
-	0	235

Precision

1.0

Recall

0.9523809523809523

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	20	0	1
-	0	0	235

Precision?

1.0

Recall?

0.9523809523809523

Freqs

test

number	freq
0	236
1	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (46.5% of total)

ival-div: 5.0ms (33.2% of total)

ival-sub: 2.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess43.0ms (0.9%)

Memory

-10.6MiB live, 26.9MiB 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
▶	92.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB 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)

localize17.0ms (0.4%)

Memory

-13.9MiB live, 24.4MiB 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	8.630571950813202	(/.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 (37.6% of total)

ival-mult: 2.0ms (37.6% of total)

ival-sub: 1.0ms (18.8% 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

10.8MiB live, 10.8MiB 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))

simplify132.0ms (2.7%)

Memory

13.7MiB live, 95.9MiB 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))

rewrite140.0ms (2.9%)

Memory

-9.4MiB live, 221.1MiB 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
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64)) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) (/.f64 (.f64 y y) x)) #s(literal 9 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -8 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y))))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -8 binary64)) #s(literal -81 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -8 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal 81 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -18 binary64)) (pow.f64 x #s(literal 9 binary64)) #s(literal -19683 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 729 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (/.f64 (pow.f64 y #s(literal -4 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -6 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -6 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64)) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64)))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) (.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64))) #s(literal 27 binary64)))) (neg.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64))) #s(literal -9 binary64)) (fma.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -8 binary64)) #s(literal -81 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal 9 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -8 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal 81 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -18 binary64)) (pow.f64 x #s(literal 9 binary64)) #s(literal -19683 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 729 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)))
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(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -6 binary64)) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) (/.f64 (.f64 y y) x)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) (/.f64 (*.f64 y y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -9 binary64)) (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) (/.f64 (.f64 y y) x)))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) (/.f64 (*.f64 y y) x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) (/.f64 (.f64 y y) x)))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) (/.f64 (*.f64 y y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -6 binary64)) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y)))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -9 binary64)) (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 729 binary64)))) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y)))))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 729 binary64)))) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -6 binary64)) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -9 binary64)) (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 729 binary64)))) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 729 binary64)))) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y)))))) (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))))))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(*.f64 (exp.f64 (log.f64 x)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (exp.f64 (log.f64 (/.f64 x y))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))))))
(.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(.f64 (/.f64 x y) (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(.f64 (neg.f64 x) (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y y) x)))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 x) y))) (exp.f64 (log.f64 (neg.f64 y))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (*.f64 (neg.f64 y) (/.f64 y x)))))
(/.f64 (exp.f64 (log.f64 x)) (*.f64 y y))
(/.f64 (exp.f64 (log.f64 (/.f64 x y))) y)
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 y))
(/.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x y) y)
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 x (*.f64 y y))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)))
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (neg.f64 y))) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) y) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y (/.f64 y #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval37.0ms (0.8%)

Memory: -9.2MiB live, 72.7MiB allocated
Compiler: Compiled 6 591 to 666 computations (89.9% saved)

prune8.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB 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
	92.2%	(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))
▶	99.9%	(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))
✓	92.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	99.8%	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
▶	41.0%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	52.6%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 87 to 82 computations (5.7% saved)

simplify39.0ms (0.8%)

Memory

-18.5MiB live, 19.9MiB 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)

localize57.0ms (1.2%)

Memory

5.9MiB live, 80.8MiB 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	0.140625	(*.f64 (neg.f64 y) (/.f64 y x))
accuracy	0.41908238982655976	(/.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	0.09375	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
accuracy	0	(*.f64 y y)
accuracy	8.630571950813202	(/.f64 x (*.f64 y y))
accuracy	32.87677674638728	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
accuracy	30.357913703472462	#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	0.12890625	(/.f64 (/.f64 x y) y)

Samples

39.0ms

256×

valid

Compiler

Compiled 101 to 23 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 11.0ms (46.9% of total)

ival-mult: 5.0ms (21.3% of total)

ival-sub: 3.0ms (12.8% of total)

ival-neg: 2.0ms (8.5% of total)

ival-add: 1.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.5%)

Memory

-12.5MiB live, 31.1MiB 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>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (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>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (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>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (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>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#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 (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#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 (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#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 (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#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 (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 (/ 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 (/ x (pow y 2)) (taylor 0 y) (#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 (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#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 (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#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 (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#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 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 (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#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 (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#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 (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#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 (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#s(alt (.f64 (neg.f64 y) (/.f64 y x)) (patch (.f64 (neg.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt -3 (taylor inf 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)) 3) (taylor inf 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)) 3) (taylor inf 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)) 3) (taylor inf 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 inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt -3 (taylor inf 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>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor inf 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>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor inf 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>) () ())) ())
#s(alt (- (/ x (pow y 2)) 3) (taylor inf 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>) () ())) ())
#s(alt -3 (taylor inf y) (#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)) 3) (taylor inf y) (#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)) 3) (taylor inf y) (#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)) 3) (taylor inf y) (#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 (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 (/ 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 -3 (taylor inf y) (#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 (pow y 2)) 3) (taylor inf y) (#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 (pow y 2)) 3) (taylor inf y) (#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 (pow y 2)) 3) (taylor inf y) (#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 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>) () ())) ())
#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 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
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#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	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))
2.0ms	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))
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))

simplify160.0ms (3.3%)

Memory

24.2MiB live, 96.7MiB 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)

rewrite168.0ms (3.4%)

Memory

-4.7MiB live, 163.7MiB 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
(.f64 (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal -4 binary64)) #s(literal -9 binary64)) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal -4 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal -4 binary64)) #s(literal -9 binary64)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal -4 binary64)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal -4 binary64)) #s(literal -9 binary64))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal -3 binary64))))
(.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal -4 binary64)) #s(literal -9 binary64)))
(*.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal -4 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal -3 binary64))))
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(fma.f64 x (pow.f64 y #s(literal -2 binary64)) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal -3 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -3 binary64)))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(.f64 (/.f64 (.f64 y y) (*.f64 (neg.f64 x) x)) x)
(.f64 (/.f64 (.f64 y y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y y))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 y y) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 y) y))
(.f64 (.f64 (/.f64 y x) y) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 y) x) y)
(.f64 (.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (neg.f64 x) y)))
(*.f64 (/.f64 y (/.f64 (neg.f64 x) y)) #s(literal 1 binary64))
(*.f64 (/.f64 y x) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) y))
(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) x))
(*.f64 y (/.f64 (neg.f64 y) x))
(pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (/.f64 y x) y) #s(literal 2 binary64))) (.f64 (/.f64 y x) y))
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (/.f64 y x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (/.f64 y x) y)))))
(/.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))) x)
(/.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) x)
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (/.f64 x y) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 y) y) (.f64 (/.f64 x y) y))
(/.f64 (*.f64 (neg.f64 y) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(/.f64 (/.f64 y (/.f64 (neg.f64 x) y)) #s(literal 1 binary64))
(/.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) (/.f64 x y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) y))
(/.f64 (*.f64 y y) (neg.f64 x))
(/.f64 y (/.f64 (neg.f64 x) y))
(neg.f64 (*.f64 (/.f64 y x) y))
(fma.f64 #s(literal 0 binary64) (/.f64 y x) (/.f64 y (/.f64 (neg.f64 x) y)))
(fma.f64 (/.f64 y x) #s(literal 0 binary64) (/.f64 y (/.f64 (neg.f64 x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (/.f64 y x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) y))
(+.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) (/.f64 y (/.f64 (neg.f64 x) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 y (/.f64 (neg.f64 x) y)))
(+.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (neg.f64 x) y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(pow.f64 (neg.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 y #s(literal -1 binary64))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))

eval159.0ms (3.2%)

Memory: 16.1MiB live, 255.2MiB allocated
Compiler: Compiled 13 433 to 1 107 computations (91.8% saved)

prune29.0ms (0.6%)

Memory

-28.5MiB live, 82.7MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	914	6	920
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	916	11	927

Accuracy

100.0%

Counts

927 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
▶	99.9%	(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	92.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	48.6%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
▶	31.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x)))
✓	41.0%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	48.5%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
	40.9%	#s(approx (- (/ x (* y y)) 3) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
▶	48.5%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
✓	52.6%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 135 to 117 computations (13.3% saved)

simplify74.0ms (1.5%)

Memory

11.7MiB live, 97.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y)
cost-diff	0	(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64))
cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))

Rules

2 268×	`lower-*.f32`
2 258×	`lower-*.f64`
1 868×	`lower-fma.f64`
1 868×	`lower-fma.f32`
1 480×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	179
0	51	177
1	94	163
2	224	160
3	708	145
4	2076	145
5	4903	145
6	7107	145
0	8026	145

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 #s(literal -1 binary64) x)
x
#s(literal 3 binary64)
#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

Outputs
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y)
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 x y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 #s(literal -1 binary64) x)
x
#s(literal 3 binary64)
#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

localize96.0ms (2%)

Memory

-0.6MiB live, 132.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	5.535579968496402	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	21.09452808806539	(/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) y) x))
accuracy	32.87677674638728	#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	0.19140625	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
accuracy	32.87677674638728	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(/.f64 y x)
accuracy	0.140625	(*.f64 (/.f64 y x) y)
accuracy	0.41908238982655976	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy	32.87677674638728	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
accuracy	0	(/.f64 x y)
accuracy	0.12890625	(/.f64 (/.f64 x y) y)
accuracy	32.87677674638728	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.00390625	(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64))
accuracy	0.12890625	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y)
accuracy	0.2734375	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))

Samples

78.0ms

256×

valid

Compiler

Compiled 146 to 29 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 48.0ms (75.5% of total)

ival-mult: 9.0ms (14.2% of total)

ival-sub: 4.0ms (6.3% of total)

ival-neg: 2.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (1.1%)

Memory

-15.4MiB live, 22.9MiB allocated

Counts

20 → 432

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#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 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<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 y) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#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>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (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>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (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>) () ())) ())
#s(alt (/ (+ x (* -3 (pow y 2))) (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>) () ())) ())
#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 (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#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 (/ (+ 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 #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 (/ (+ 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 #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 (/ (+ 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 #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 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 (/.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 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#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>) () ())) ())
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#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) 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>) () ())) ())
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#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
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#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -3 (taylor inf y) (#s(alt (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) 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>) () ())) ())
#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 (/ x y) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) 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 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) 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 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) 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 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#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 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#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>) () ())) ())
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#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 y) y)) (patch #s(approx (- (/ (/ x y) y) 3) (/.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 (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 (/.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>) () ())) ())
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#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) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) 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>) () ())) ())
#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
33.0ms	x	@	-inf	((/ (/ -1 y) (/ -1 x)) (- (/ (/ (/ -1 y) (/ -1 x)) y) 3) (/ (/ (/ -1 y) (/ -1 x)) y) (/ -1 y) (- (/ (/ 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) (/ -1 x) (* (* (neg y) y) x))
2.0ms	x	@	inf	((/ (/ -1 y) (/ -1 x)) (- (/ (/ (/ -1 y) (/ -1 x)) y) 3) (/ (/ (/ -1 y) (/ -1 x)) y) (/ -1 y) (- (/ (/ 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) (/ -1 x) (* (* (neg y) y) x))
2.0ms	x	@	0	((/ (/ -1 y) (/ -1 x)) (- (/ (/ (/ -1 y) (/ -1 x)) y) 3) (/ (/ (/ -1 y) (/ -1 x)) y) (/ -1 y) (- (/ (/ 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) (/ -1 x) (* (* (neg y) y) x))
2.0ms	y	@	0	((/ (/ -1 y) (/ -1 x)) (- (/ (/ (/ -1 y) (/ -1 x)) y) 3) (/ (/ (/ -1 y) (/ -1 x)) y) (/ -1 y) (- (/ (/ 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) (/ -1 x) (* (* (neg y) y) x))
2.0ms	y	@	inf	((/ (/ -1 y) (/ -1 x)) (- (/ (/ (/ -1 y) (/ -1 x)) y) 3) (/ (/ (/ -1 y) (/ -1 x)) y) (/ -1 y) (- (/ (/ 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) (/ -1 x) (* (* (neg y) y) x))

simplify274.0ms (5.6%)

Memory

-2.8MiB live, 115.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 750×	`associate-*r/`
2 712×	`lower-fma.f64`
2 712×	`lower-fma.f32`
2 584×	`lower-*.f64`
2 584×	`lower-*.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	2400
1	65	2400
2	146	2400
3	323	2400
4	604	2400
5	1069	2400
6	1560	2400
7	2222	2040
8	3021	2040
9	3344	2040
10	3705	2040
11	3941	2040
12	4214	2040
13	4590	2040
14	4713	2040
15	5330	2040
16	5745	2040
17	6247	2040
18	6587	2040
19	7360	2040
20	7694	2040
21	7710	2040
22	7710	2040
23	7710	2040
0	9045	2040

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

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

rewrite177.0ms (3.6%)

Memory

25.1MiB live, 177.8MiB allocated

Rules

3 616×	`lower-fma.f64`
3 616×	`lower-fma.f32`
2 828×	`lower-*.f32`
2 818×	`lower-*.f64`
2 656×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	154
0	51	152
1	192	120
2	1372	120
3	7742	120
0	8546	115

Stop Event

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

Counts

20 → 863

Calls

Call 1

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

Outputs
(.f64 (/.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (.f64 y y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) y) y)
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64)))) (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (neg.f64 x))) (.f64 (neg.f64 y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 (neg.f64 y) x)) (*.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) y) (/.f64 (.f64 (neg.f64 y) y) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 y)) (.f64 (/.f64 y x) y))
(/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 (neg.f64 x) y))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (neg.f64 y) (.f64 x x)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) x))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(neg.f64 (/.f64 (neg.f64 x) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 x y))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -4 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) #s(literal -9 binary64)) (.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (+.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -6 binary64)))) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -4 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) #s(literal -9 binary64))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) #s(literal -9 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal -3 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))
(.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) #s(literal -9 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))))))
(.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))) (fma.f64 (*.f64 x x) (/.f64 (pow.f64 y #s(literal -4 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -6 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) #s(literal -9 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) #s(literal 27 binary64))) (.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -4 binary64)) #s(literal 81 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -9 binary64)) #s(literal 19683 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))) (+.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -6 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 729 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -9 binary64)) #s(literal 19683 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -6 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 729 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -6 binary64)) #s(literal 729 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) (+.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal 81 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -6 binary64)) #s(literal 729 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -6 binary64)) #s(literal 729 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) #s(literal -9 binary64))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))))))
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(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 x (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 (/.f64 x (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 y) x) y)
(.f64 (.f64 x y) (neg.f64 y))
(.f64 (.f64 (*.f64 y y) x) #s(literal -1 binary64))
(.f64 (.f64 (*.f64 (neg.f64 y) y) x) #s(literal 1 binary64))
(.f64 (.f64 (neg.f64 y) y) x)
(.f64 (neg.f64 y) (/.f64 (.f64 x y) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (.f64 x y))
(.f64 (neg.f64 x) (.f64 y y))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 y) y) x))
(.f64 x (/.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)))
(.f64 x (.f64 (neg.f64 y) y))
(.f64 y (/.f64 (.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(.f64 y (.f64 (neg.f64 y) x))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) x))
(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))
(neg.f64 (.f64 (.f64 y y) x))
(fma.f64 (.f64 x y) #s(literal 0 binary64) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 #s(literal 0 binary64) (.f64 x y) (.f64 (*.f64 (neg.f64 y) y) x))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) x))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 x y)) (.f64 (.f64 (neg.f64 y) y) x))
(+.f64 (.f64 (.f64 x y) #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 y) y) x))

eval190.0ms (3.9%)

Memory: 20.8MiB live, 279.4MiB allocated
Compiler: Compiled 16 566 to 2 044 computations (87.7% saved)

prune72.0ms (1.5%)

Memory

8.6MiB live, 94.1MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 374	4	1 378
Fresh	1	0	1
Picked	2	3	5
Done	0	5	5
Total	1 377	12	1 389

Accuracy

100.0%

Counts

1 389 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(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))
✓	92.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	48.5%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y))
✓	48.6%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
▶	35.9%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)))
▶	31.3%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)))
✓	41.0%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	48.5%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
▶	48.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)))
✓	48.5%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
✓	52.6%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 95 to 81 computations (14.7% saved)

simplify116.0ms (2.4%)

Memory

-25.9MiB live, 128.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y)
cost-diff	0	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y))
cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) x)
cost-diff	0	#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)))
cost-diff	640	(/.f64 (.f64 (/.f64 x y) x) (.f64 x y))
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 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))

Rules

3 182×	`lower-*.f32`
3 168×	`lower-*.f64`
2 348×	`lower-fma.f64`
2 348×	`lower-fma.f32`
1 894×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	171
0	47	173
1	89	163
2	176	127
3	304	127
4	1195	127
5	2830	127
6	5511	127
7	7353	127
8	7944	127
0	8055	127

Stop Event

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

Calls

Call 1

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

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

localize170.0ms (3.5%)

Memory

29.5MiB live, 105.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.12890625	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y)
accuracy	0.2734375	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
accuracy	32.87677674638728	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y))
accuracy	0	(*.f64 x y)
accuracy	0.140625	(*.f64 (/.f64 x y) x)
accuracy	15.409149968846382	(/.f64 (.f64 (/.f64 x y) x) (.f64 x y))
accuracy	32.87677674638728	#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)))
accuracy	0	(*.f64 x x)
accuracy	5.535579968496402	(.f64 (.f64 y y) x)
accuracy	21.09452808806539	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
accuracy	32.87677674638728	#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)))
accuracy	0.140625	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)
accuracy	0.23828125	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
accuracy	0.41908238982655976	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y))
accuracy	32.87677674638728	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)))

Samples

153.0ms

256×

valid

Compiler

Compiled 132 to 27 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-div: 110.0ms (88.4% of total)

ival-mult: 11.0ms (8.8% of total)

ival-sub: 2.0ms (1.6% of total)

ival-neg: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.8%)

Memory

-28.6MiB live, 54.2MiB allocated

Counts

18 → 396

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	y	@	inf	((* (/ -1 x) (neg y)) (/ 1 (* (* (/ -1 x) (neg y)) y)) (- (/ x (* y y)) 3) (* (* (/ -1 x) (neg y)) y) (/ (* x x) (* (* y y) x)) (- (/ (/ x y) y) 3) (* x x) (* (* y y) x) (/ (* (/ x y) x) (* x y)) (- (/ (/ x y) y) 3) (* (/ x y) x) (/ x y) (/ (/ -1 y) (/ -1 x)) (- (/ (/ x y) y) 3) (/ (/ (/ -1 y) (/ -1 x)) y) (/ -1 y) (* x y) (/ -1 x))
3.0ms	x	@	-inf	((* (/ -1 x) (neg y)) (/ 1 (* (* (/ -1 x) (neg y)) y)) (- (/ x (* y y)) 3) (* (* (/ -1 x) (neg y)) y) (/ (* x x) (* (* y y) x)) (- (/ (/ x y) y) 3) (* x x) (* (* y y) x) (/ (* (/ x y) x) (* x y)) (- (/ (/ x y) y) 3) (* (/ x y) x) (/ x y) (/ (/ -1 y) (/ -1 x)) (- (/ (/ x y) y) 3) (/ (/ (/ -1 y) (/ -1 x)) y) (/ -1 y) (* x y) (/ -1 x))
2.0ms	y	@	-inf	((* (/ -1 x) (neg y)) (/ 1 (* (* (/ -1 x) (neg y)) y)) (- (/ x (* y y)) 3) (* (* (/ -1 x) (neg y)) y) (/ (* x x) (* (* y y) x)) (- (/ (/ x y) y) 3) (* x x) (* (* y y) x) (/ (* (/ x y) x) (* x y)) (- (/ (/ x y) y) 3) (* (/ x y) x) (/ x y) (/ (/ -1 y) (/ -1 x)) (- (/ (/ x y) y) 3) (/ (/ (/ -1 y) (/ -1 x)) y) (/ -1 y) (* x y) (/ -1 x))
2.0ms	x	@	inf	((* (/ -1 x) (neg y)) (/ 1 (* (* (/ -1 x) (neg y)) y)) (- (/ x (* y y)) 3) (* (* (/ -1 x) (neg y)) y) (/ (* x x) (* (* y y) x)) (- (/ (/ x y) y) 3) (* x x) (* (* y y) x) (/ (* (/ x y) x) (* x y)) (- (/ (/ x y) y) 3) (* (/ x y) x) (/ x y) (/ (/ -1 y) (/ -1 x)) (- (/ (/ x y) y) 3) (/ (/ (/ -1 y) (/ -1 x)) y) (/ -1 y) (* x y) (/ -1 x))
2.0ms	y	@	0	((* (/ -1 x) (neg y)) (/ 1 (* (* (/ -1 x) (neg y)) y)) (- (/ x (* y y)) 3) (* (* (/ -1 x) (neg y)) y) (/ (* x x) (* (* y y) x)) (- (/ (/ x y) y) 3) (* x x) (* (* y y) x) (/ (* (/ x y) x) (* x y)) (- (/ (/ x y) y) 3) (* (/ x y) x) (/ x y) (/ (/ -1 y) (/ -1 x)) (- (/ (/ x y) y) 3) (/ (/ (/ -1 y) (/ -1 x)) y) (/ -1 y) (* x y) (/ -1 x))

simplify165.0ms (3.4%)

Memory

-6.1MiB live, 153.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 894×	`lower-*.f64`
3 894×	`lower-*.f32`
2 540×	`lower-fma.f64`
2 540×	`lower-fma.f32`
1 914×	`cube-prod`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	30	2100
1	55	2100
2	118	2100
3	265	2100
4	488	2100
5	866	2100
6	1588	2100
7	2279	1812
8	2963	1812
9	3516	1812
10	4357	1812
11	5158	1812
12	5569	1812
13	6186	1812
14	6892	1812
15	7570	1812
0	8028	1812

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

rewrite322.0ms (6.6%)

Memory

24.1MiB live, 187.2MiB allocated

Rules

4 038×	`lower-fma.f64`
4 038×	`lower-fma.f32`
4 016×	`lower-*.f32`
4 002×	`lower-*.f64`
2 400×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	152
0	47	154
1	179	108
2	1065	108
3	7035	108
0	8159	104

Stop Event

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

Counts

18 → 685

Calls

Call 1

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

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

eval155.0ms (3.2%)

Memory: 19.7MiB live, 277.2MiB allocated
Compiler: Compiled 11 685 to 1 587 computations (86.4% saved)

prune55.0ms (1.1%)

Memory

5.7MiB live, 79.4MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	1 107	0	1 107
Fresh	0	0	0
Picked	0	4	4
Done	0	8	8
Total	1 107	12	1 119

Accuracy

100.0%

Counts

1 119 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(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))
✓	92.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	48.5%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y))
✓	48.6%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
✓	35.9%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)))
✓	31.3%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)))
✓	41.0%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	48.5%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
✓	48.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)))
✓	48.5%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
✓	52.6%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 235 to 137 computations (41.7% saved)

regimes44.0ms (0.9%)

Memory

11.2MiB live, 48.6MiB allocated

Counts

17 → 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))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))

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

Calls

5 calls:

23.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
5.0ms	y
5.0ms	x
5.0ms	(*.f64 y y)
5.0ms	(/.f64 x (*.f64 y y))

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)

regimes16.0ms (0.3%)

Memory

-17.0MiB live, 25.0MiB 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:

8.0ms	(/.f64 x (*.f64 y y))
2.0ms	x
2.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
92.4%	1	`x`
99.9%	2	`y`
99.9%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
99.9%	3	`(/.f64 x (*.f64 y y))`
99.9%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes7.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB 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

4 calls:

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

Results

Accuracy	Segments	Branch
92.4%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
92.4%	1	`(/.f64 x (*.f64 y y))`
92.4%	1	`y`
92.4%	1	`(*.f64 y y)`

Compiler

Compiled 16 to 15 computations (6.3% saved)

regimes10.0ms (0.2%)

Memory

-17.1MiB live, 19.1MiB 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:

4.0ms	(/.f64 x (*.f64 y y))
2.0ms	y
2.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
65.6%	3	`x`
81.1%	2	`y`
90.6%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
90.6%	3	`(/.f64 x (*.f64 y y))`
81.1%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes6.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB 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:

1.0ms	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
52.6%	1	`x`
52.6%	1	`y`
52.6%	1	`(*.f64 y y)`
52.6%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
52.6%	1	`(/.f64 x (*.f64 y y))`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.48184e-318	2.49049095e-316

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch19.0ms (0.4%)

Memory

11.5MiB live, 45.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.5768548119127519	78.67357678651098
11.0ms	-479850.5764521112	-0.12556056292751533

Samples

8.0ms

256×

valid

Compiler

Compiled 74 to 155 computations (-109.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 3.0ms (77.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify105.0ms (2.1%)

Memory

-48.4MiB live, 61.1MiB 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 2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (20.7%)

Memory

20.4MiB live, 383.0MiB 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)

preprocess64.0ms (1.3%)

Memory: -24.6MiB live, 256.3MiB allocated
Remove: (abs y)
Compiler: Compiled 186 to 88 computations (52.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze12.0ms (0.3%)

sample547.0ms (11.2%)

explain65.0ms (1.3%)

preprocess43.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize17.0ms (0.4%)

series6.0ms (0.1%)

simplify132.0ms (2.7%)

rewrite140.0ms (2.9%)

eval37.0ms (0.8%)

prune8.0ms (0.2%)

simplify39.0ms (0.8%)

localize57.0ms (1.2%)

series25.0ms (0.5%)

simplify160.0ms (3.3%)

rewrite168.0ms (3.4%)

eval159.0ms (3.2%)

prune29.0ms (0.6%)

simplify74.0ms (1.5%)

localize96.0ms (2%)

series52.0ms (1.1%)

simplify274.0ms (5.6%)

rewrite177.0ms (3.6%)

eval190.0ms (3.9%)

prune72.0ms (1.5%)

simplify116.0ms (2.4%)

localize170.0ms (3.5%)

series38.0ms (0.8%)

simplify165.0ms (3.4%)

rewrite322.0ms (6.6%)

eval155.0ms (3.2%)

prune55.0ms (1.1%)

regimes44.0ms (0.9%)

regimes16.0ms (0.3%)

regimes7.0ms (0.1%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch19.0ms (0.4%)

simplify105.0ms (2.1%)

soundness1.0s (20.7%)

preprocess64.0ms (1.3%)

end0.0ms (0%)

Profiling