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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.2%)

Memory

-9.7MiB live, 28.5MiB 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)

sample1.0s (14.9%)

Memory

-11.9MiB live, 840.9MiB allocated

Samples

728.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

ival-div: 259.0ms (68.6% of total)

ival-mult: 67.0ms (17.7% of total)

ival-sub: 39.0ms (10.3% of total)

ival-true: 5.0ms (1.3% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain495.0ms (7.2%)

Memory

-44.8MiB live, 101.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
37	-	3	(2.828535575507863e-22 3.3265299092084653e-158)	`(/.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	18	0
↳	`(*.f64 y y)`	underflow	55

Confusion

	Predicted +	Predicted -
+	18	2
-	0	236

Precision

1.0

Recall

0.9

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	18	0	2
-	0	0	236

Precision?

1.0

Recall?

0.9

Freqs

test

number	freq
0	238
1	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

153.0ms

512×

valid

Compiler

Compiled 65 to 29 computations (55.4% saved)

Precisions

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

ival-mult: 4.0ms (39.2% of total)

ival-div: 3.0ms (29.4% of total)

ival-sub: 2.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess51.0ms (0.7%)

Memory

16.4MiB live, 54.3MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.1%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Memory

6.5MiB live, 6.5MiB 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)

localize19.0ms (0.3%)

Memory

1.3MiB live, 38.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
accuracy	0	(*.f64 y y)
accuracy	8.355933665259476	(/.f64 x (*.f64 y y))

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

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

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

ival-sub: 1.0ms (20.2% 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

13.7MiB live, 13.7MiB 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))

simplify175.0ms (2.6%)

Memory

-28.1MiB live, 127.9MiB 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))

rewrite184.0ms (2.7%)

Memory

14.7MiB live, 286.5MiB 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)))

eval51.0ms (0.7%)

Memory: 3.5MiB live, 92.3MiB allocated
Compiler: Compiled 6 591 to 666 computations (89.9% saved)

prune41.0ms (0.6%)

Memory

-3.3MiB live, 111.7MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	280	7	287
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	280	8	288

Accuracy

100.0%

Counts

288 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
▶	99.9%	(-.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) #s(literal 3 binary64))
▶	99.8%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	93.1%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	93.1%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
	99.8%	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
▶	45.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	49.9%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 111 to 102 computations (8.1% saved)

simplify5.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	-5632	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) x)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
cost-diff	-5632	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
cost-diff	0	(/.f64 x y)
cost-diff	384	(/.f64 (/.f64 x y) y)
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 x (*.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	-5632	(-.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) #s(literal 3 binary64))
cost-diff	0	(/.f64 y x)
cost-diff	0	(pow.f64 y #s(literal -1 binary64))
cost-diff	6848	(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))

Rules

40×	`lower-*.f32`
38×	`lower-*.f64`
30×	`lower-/.f32`
18×	`associate-r`
16×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	105
0	35	111
1	49	111
2	58	97
3	66	97
4	94	97
5	103	97
0	103	92

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (0.8%)

Memory

-12.6MiB live, 142.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
accuracy	0	(*.f64 y y)
accuracy	0.49670468594729267	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
accuracy	8.495814630183867	(/.f64 (*.f64 y y) x)
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy	0.1640625	(/.f64 (/.f64 x y) y)
accuracy	0	(*.f64 y y)
accuracy	8.355933665259476	(/.f64 x (*.f64 y y))
accuracy	30.391805856135786	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
accuracy	32.03654412733941	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
accuracy	0	(pow.f64 y #s(literal -1 binary64))
accuracy	0	(/.f64 y x)
accuracy	0	(-.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) #s(literal 3 binary64))
accuracy	0.18587875976844204	(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))

Samples

39.0ms

256×

valid

Compiler

Compiled 99 to 21 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 16.0ms (63.5% of total)

ival-sub: 4.0ms (15.9% of total)

ival-pow: 3.0ms (11.9% of total)

ival-mult: 2.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

17.5MiB live, 57.2MiB allocated

Counts

14 → 312

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((/ (pow y -1) (/ y x)) (pow y -1) (/ y x) (- (/ (pow y -1) (/ y x)) 3) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (/ x (* y y)) (* y y) (/ (/ x y) y) (/ x y) (- (/ (/ x y) y) 3) (/ 1 (/ (* y y) x)) (/ (* y y) x) (- (/ 1 (/ (* y y) x)) 3))
2.0ms	y	@	inf	((/ (pow y -1) (/ y x)) (pow y -1) (/ y x) (- (/ (pow y -1) (/ y x)) 3) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (/ x (* y y)) (* y y) (/ (/ x y) y) (/ x y) (- (/ (/ x y) y) 3) (/ 1 (/ (* y y) x)) (/ (* y y) x) (- (/ 1 (/ (* y y) x)) 3))
2.0ms	x	@	-inf	((/ (pow y -1) (/ y x)) (pow y -1) (/ y x) (- (/ (pow y -1) (/ y x)) 3) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (/ x (* y y)) (* y y) (/ (/ x y) y) (/ x y) (- (/ (/ x y) y) 3) (/ 1 (/ (* y y) x)) (/ (* y y) x) (- (/ 1 (/ (* y y) x)) 3))
2.0ms	y	@	-inf	((/ (pow y -1) (/ y x)) (pow y -1) (/ y x) (- (/ (pow y -1) (/ y x)) 3) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (/ x (* y y)) (* y y) (/ (/ x y) y) (/ x y) (- (/ (/ x y) y) 3) (/ 1 (/ (* y y) x)) (/ (* y y) x) (- (/ 1 (/ (* y y) x)) 3))
1.0ms	y	@	0	((/ (pow y -1) (/ y x)) (pow y -1) (/ y x) (- (/ (pow y -1) (/ y x)) 3) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (/ x (* y y)) (* y y) (/ (/ x y) y) (/ x y) (- (/ (/ x y) y) 3) (/ 1 (/ (* y y) x)) (/ (* y y) x) (- (/ 1 (/ (* y y) x)) 3))

simplify196.0ms (2.9%)

Memory

4.9MiB live, 120.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 720×	`lower-fma.f64`
3 720×	`lower-fma.f32`
2 776×	`lower-*.f64`
2 776×	`lower-*.f32`
1 870×	`associate-/l*`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	25	1896
1	47	1896
2	106	1896
3	254	1896
4	478	1896
5	812	1896
6	1356	1896
7	2295	1536
8	3026	1536
9	3369	1536
10	3760	1536
11	3994	1536
12	4293	1536
13	4905	1536
14	5010	1536
15	5508	1536
16	5870	1536
17	6306	1536
18	6598	1536
19	6921	1536
20	7053	1536
21	7069	1536
22	7069	1536
0	8148	1536

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

rewrite232.0ms (3.4%)

Memory

16.4MiB live, 246.8MiB allocated

Rules

7 074×	`lower-fma.f64`
7 074×	`lower-fma.f32`
4 844×	`lower-*.f32`
4 842×	`lower-*.f64`
2 484×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	88
0	35	94
1	136	80
2	905	80
3	7996	80
0	9322	75

Stop Event

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

Counts

14 → 998

Calls

Call 1

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

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

eval248.0ms (3.6%)

Memory: 12.4MiB live, 334.3MiB allocated
Compiler: Compiled 20 085 to 1 509 computations (92.5% saved)

prune121.0ms (1.8%)

Memory

-17.1MiB live, 258.1MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 341	5	1 346
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	1 346	8	1 354

Accuracy

100.0%

Counts

1 354 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.1%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	99.7%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))))) #s(literal 3 binary64))
▶	52.4%	#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 x y) y))
▶	52.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)))
✓	45.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	52.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
▶	52.3%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
✓	49.9%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 113 to 95 computations (15.9% saved)

simplify120.0ms (1.7%)

Memory

-22.2MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)))
cost-diff	832	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 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 (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 x y) y))
cost-diff	0	(pow.f64 y #s(literal -1/2 binary64))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))))
cost-diff	13248	(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))

Rules

1 158×	`div-sub`
800×	`lower-fma.f64`
800×	`lower-fma.f32`
720×	`lower-*.f32`
714×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	206
0	55	220
1	97	220
2	180	216
3	381	154
4	723	154
5	1965	154
6	3064	154
7	3704	154
8	4078	154
9	4129	154
10	4132	154
11	4132	154
12	4132	154
13	4132	154
14	4132	154
15	4132	154
0	4132	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize99.0ms (1.4%)

Memory

37.1MiB live, 230.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 y)
accuracy	0.18587875976844204	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
accuracy	30.391805856135786	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 x)
accuracy	0.18359375	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
accuracy	30.391805856135786	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(/.f64 y x)
accuracy	0.12890625	(*.f64 (/.f64 y x) y)
accuracy	0.49670468594729267	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy	30.391805856135786	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
accuracy	0	(/.f64 x y)
accuracy	0.1640625	(/.f64 (/.f64 x y) y)
accuracy	30.391805856135786	#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 x y) y))
accuracy	0.203125	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)
accuracy	0.217128759768442	(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))
accuracy	0.4425248792941514	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))))
accuracy	0.49670468594729267	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))))

Samples

67.0ms

256×

valid

Compiler

Compiled 176 to 33 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 21.0ms (41.5% of total)

ival-mult: 10.0ms (19.8% of total)

ival-pow: 9.0ms (17.8% of total)

ival-neg: 7.0ms (13.8% of total)

ival-sub: 3.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.4%)

Memory

-12.9MiB live, 70.2MiB allocated

Counts

21 → 456

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((/ (pow y -1/2) (/ y (* (pow y -1/2) x))) (/ 1 (/ (pow y -1/2) (/ y (* (pow y -1/2) x)))) (/ 1 (/ 1 (/ (pow y -1/2) (/ y (* (pow y -1/2) x))))) (pow y -1/2) (- (/ (pow y -1) (/ y x)) 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) (/ (/ -1 y) (/ (neg y) x)) (- (/ x (* y y)) 3) (/ -1 y) (/ (neg y) x) (* (pow y -1/2) x) (neg y))
4.0ms	y	@	-inf	((/ (pow y -1/2) (/ y (* (pow y -1/2) x))) (/ 1 (/ (pow y -1/2) (/ y (* (pow y -1/2) x)))) (/ 1 (/ 1 (/ (pow y -1/2) (/ y (* (pow y -1/2) x))))) (pow y -1/2) (- (/ (pow y -1) (/ y x)) 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) (/ (/ -1 y) (/ (neg y) x)) (- (/ x (* y y)) 3) (/ -1 y) (/ (neg y) x) (* (pow y -1/2) x) (neg y))
3.0ms	x	@	-inf	((/ (pow y -1/2) (/ y (* (pow y -1/2) x))) (/ 1 (/ (pow y -1/2) (/ y (* (pow y -1/2) x)))) (/ 1 (/ 1 (/ (pow y -1/2) (/ y (* (pow y -1/2) x))))) (pow y -1/2) (- (/ (pow y -1) (/ y x)) 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) (/ (/ -1 y) (/ (neg y) x)) (- (/ x (* y y)) 3) (/ -1 y) (/ (neg y) x) (* (pow y -1/2) x) (neg y))
2.0ms	x	@	0	((/ (pow y -1/2) (/ y (* (pow y -1/2) x))) (/ 1 (/ (pow y -1/2) (/ y (* (pow y -1/2) x)))) (/ 1 (/ 1 (/ (pow y -1/2) (/ y (* (pow y -1/2) x))))) (pow y -1/2) (- (/ (pow y -1) (/ y x)) 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) (/ (/ -1 y) (/ (neg y) x)) (- (/ x (* y y)) 3) (/ -1 y) (/ (neg y) x) (* (pow y -1/2) x) (neg y))
2.0ms	y	@	inf	((/ (pow y -1/2) (/ y (* (pow y -1/2) x))) (/ 1 (/ (pow y -1/2) (/ y (* (pow y -1/2) x)))) (/ 1 (/ 1 (/ (pow y -1/2) (/ y (* (pow y -1/2) x))))) (pow y -1/2) (- (/ (pow y -1) (/ y x)) 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) (/ (/ -1 y) (/ (neg y) x)) (- (/ x (* y y)) 3) (/ -1 y) (/ (neg y) x) (* (pow y -1/2) x) (neg y))

simplify116.0ms (1.7%)

Memory

-13.4MiB live, 103.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 508×	`lower-fma.f64`
3 508×	`lower-fma.f32`
2 264×	`lower-*.f64`
2 264×	`lower-*.f32`
1 248×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	2236
1	89	2208
2	243	2204
3	670	2204
4	3159	2204
5	5004	2204
6	6211	2204
7	7114	2204
8	7787	2204
0	8001	2192

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

rewrite302.0ms (4.4%)

Memory

-0.7MiB live, 200.2MiB allocated

Rules

4 652×	`lower-fma.f64`
4 652×	`lower-fma.f32`
3 536×	`lower-*.f32`
3 530×	`lower-*.f64`
3 474×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	163
0	53	181
1	207	121
2	1421	121
0	8499	117

Stop Event

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

Counts

21 → 1 139

Calls

Call 1

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

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

eval719.0ms (10.5%)

Memory: 17.5MiB live, 316.3MiB allocated
Compiler: Compiled 20 662 to 2 860 computations (86.2% saved)

prune175.0ms (2.5%)

Memory

-5.7MiB live, 325.6MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 675	2	1 677
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	1 676	9	1 685

Accuracy

100.0%

Counts

1 685 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.1%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	52.4%	#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 x y) y))
▶	52.3%	#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y))
✓	52.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)))
✓	45.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	52.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
▶	38.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) x) y)))
✓	52.3%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
✓	49.9%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 69 to 61 computations (11.6% saved)

simplify113.0ms (1.6%)

Memory

22.7MiB live, 141.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff	0	(.f64 (.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) x) y)
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) x) y)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) x) y))
cost-diff	1024	(.f64 (/.f64 (neg.f64 y) (.f64 (neg.f64 x) x)) x)

Rules

3 572×	`lower-*.f32`
3 566×	`lower-*.f64`
3 008×	`lower-fma.f64`
3 008×	`lower-fma.f32`
2 216×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	107
0	34	123
1	67	123
2	165	69
3	663	69
4	2939	69
5	4218	69
6	5729	69
7	6247	69
8	6500	69
9	6818	69
10	7814	69
0	8104	67

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

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

localize51.0ms (0.7%)

Memory

5.1MiB live, 120.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0.1640625	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
accuracy	0.28345928959681377	(/.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	30.391805856135786	#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y))
accuracy	0.49670468594729267	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) x) y))
accuracy	8.760710451078847	(/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x))
accuracy	15.517705882206549	(.f64 (/.f64 (neg.f64 y) (.f64 (neg.f64 x) x)) x)
accuracy	30.391805856135786	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) x) y)))

Samples

39.0ms

256×

valid

Compiler

Compiled 87 to 23 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 13.0ms (49.1% of total)

ival-mult: 6.0ms (22.7% of total)

ival-pow: 3.0ms (11.3% of total)

ival-sub: 2.0ms (7.6% of total)

ival-neg: 2.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Memory

-8.5MiB live, 31.4MiB allocated

Counts

9 → 216

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((* (/ (neg y) (* (neg x) x)) x) (/ 1 (* (* (/ (neg y) (* (neg x) x)) x) y)) (- (/ x (* y y)) 3) (* (* (/ (neg y) (* (neg x) x)) x) y) (/ 1 (/ y x)) (/ (/ 1 (/ y x)) y) (- (/ (pow y -1) (/ y x)) 3) (/ y x) (/ (neg y) (* (neg x) x)))
2.0ms	y	@	0	((* (/ (neg y) (* (neg x) x)) x) (/ 1 (* (* (/ (neg y) (* (neg x) x)) x) y)) (- (/ x (* y y)) 3) (* (* (/ (neg y) (* (neg x) x)) x) y) (/ 1 (/ y x)) (/ (/ 1 (/ y x)) y) (- (/ (pow y -1) (/ y x)) 3) (/ y x) (/ (neg y) (* (neg x) x)))
1.0ms	y	@	inf	((* (/ (neg y) (* (neg x) x)) x) (/ 1 (* (* (/ (neg y) (* (neg x) x)) x) y)) (- (/ x (* y y)) 3) (* (* (/ (neg y) (* (neg x) x)) x) y) (/ 1 (/ y x)) (/ (/ 1 (/ y x)) y) (- (/ (pow y -1) (/ y x)) 3) (/ y x) (/ (neg y) (* (neg x) x)))
1.0ms	x	@	-inf	((* (/ (neg y) (* (neg x) x)) x) (/ 1 (* (* (/ (neg y) (* (neg x) x)) x) y)) (- (/ x (* y y)) 3) (* (* (/ (neg y) (* (neg x) x)) x) y) (/ 1 (/ y x)) (/ (/ 1 (/ y x)) y) (- (/ (pow y -1) (/ y x)) 3) (/ y x) (/ (neg y) (* (neg x) x)))
1.0ms	x	@	0	((* (/ (neg y) (* (neg x) x)) x) (/ 1 (* (* (/ (neg y) (* (neg x) x)) x) y)) (- (/ x (* y y)) 3) (* (* (/ (neg y) (* (neg x) x)) x) y) (/ 1 (/ y x)) (/ (/ 1 (/ y x)) y) (- (/ (pow y -1) (/ y x)) 3) (/ y x) (/ (neg y) (* (neg x) x)))

simplify140.0ms (2%)

Memory

1.8MiB live, 113.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 858×	`lower-*.f64`
3 858×	`lower-*.f32`
2 492×	`lower-fma.f64`
2 492×	`lower-fma.f32`
1 980×	`div-sub`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	26	1128
1	49	1128
2	110	1128
3	258	1128
4	484	1128
5	836	1128
6	1446	1128
7	2169	984
8	2835	984
9	3384	984
10	4229	984
11	5080	984
12	5503	984
13	6123	984
14	6843	984
15	7527	984
0	8019	984

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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 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))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ 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 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)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ 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 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)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ 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 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)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ 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 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))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ 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 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)))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))

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

rewrite156.0ms (2.3%)

Memory

13.5MiB live, 219.2MiB allocated

Rules

5 372×	`lower-fma.f64`
5 372×	`lower-fma.f32`
4 870×	`lower-*.f32`
4 864×	`lower-*.f64`
3 356×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	93
0	34	93
1	139	83
2	997	55
0	8481	53

Stop Event

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

Counts

9 → 653

Calls

Call 1

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

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

eval105.0ms (1.5%)

Memory: 9.0MiB live, 199.6MiB allocated
Compiler: Compiled 10 344 to 2 061 computations (80.1% saved)

prune180.0ms (2.6%)

Memory

-26.5MiB live, 173.1MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	867	2	869
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	868	10	878

Accuracy

100.0%

Counts

878 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.1%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
	37.5%	#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 (.f64 x x) y) (.f64 x y)))
✓	52.4%	#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 x y) y))
✓	52.3%	#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y))
	33.4%	#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (.f64 x x) (.f64 (*.f64 x y) y)))
✓	52.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)))
✓	45.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	52.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
✓	52.3%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
✓	49.9%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 225 to 127 computations (43.6% saved)

regimes96.0ms (1.4%)

Memory

2.3MiB live, 41.5MiB 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 (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (.f64 x x) (.f64 (*.f64 x y) 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 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 (.f64 x x) y) (.f64 x y)))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
#s(approx (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)))
#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) x) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))))) #s(literal 3 binary64))

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

Calls

5 calls:

76.0ms	y
5.0ms	x
5.0ms	(*.f64 y y)
4.0ms	(/.f64 x (*.f64 y y))
4.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

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

Compiler

Compiled 17 to 17 computations (0% saved)

regimes23.0ms (0.3%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
99.8%	1	`(/.f64 x (*.f64 y y))`
99.8%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes50.0ms (0.7%)

Memory

-25.9MiB live, 14.9MiB 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 (- (/ (pow y -1) (/ y x)) 3) (/.f64 (/.f64 x y) y))

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

Calls

5 calls:

42.0ms	(*.f64 y y)
2.0ms	x
2.0ms	y
2.0ms	(/.f64 x (*.f64 y y))
2.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
93.1%	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)

regimes9.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
93.1%	1	`x`
93.1%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
93.1%	1	`(/.f64 x (*.f64 y y))`
93.1%	1	`y`
93.1%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes44.0ms (0.6%)

Memory

-20.2MiB live, 17.0MiB 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:

38.0ms	(/.f64 x (*.f64 y y))
2.0ms	y
1.0ms	x
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
80.3%	2	`(*.f64 y y)`
92.6%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
92.6%	3	`(/.f64 x (*.f64 y y))`
65.3%	3	`x`
80.3%	2	`y`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes6.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
49.9%	1	`x`
49.9%	1	`(*.f64 y y)`
49.9%	1	`y`
49.9%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
49.9%	1	`(/.f64 x (*.f64 y y))`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.06349004116e-313	2.2482927701777e-311

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch24.0ms (0.4%)

Memory

11.1MiB live, 49.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.797940110259413e-8	75897393782669470.0
12.0ms	-2322920418123277300.0	-0.3417624042644172

Samples

8.0ms

336×

valid

Compiler

Compiled 94 to 200 computations (-112.8% saved)

Precisions

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

ival-sub: 2.0ms (93.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify47.0ms (0.7%)

Memory

-65.4MiB live, 52.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative-binary64-+.f64`
8×	`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	32	111
1	36	111
2	42	111
3	44	111
4	45	111

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (.f64 y y) #s(literal 40480450661/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (/ (pow y -1) (/ y x)) 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 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (.f64 y y) #s(literal 40480450661/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (/ (pow y -1) (/ y x)) 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))

soundness1.3s (18.3%)

Memory

6.6MiB live, 321.7MiB allocated

Rules

4 186×	`lower-/.f32`
4 184×	`lower-/.f64`
3 720×	`lower-fma.f64`
3 720×	`lower-fma.f32`
3 186×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	1896
1	47	1896
2	106	1896
3	254	1896
4	478	1896
5	812	1896
6	1356	1896
7	2295	1536
8	3026	1536
9	3369	1536
10	3760	1536
11	3994	1536
12	4293	1536
13	4905	1536
14	5010	1536
15	5508	1536
16	5870	1536
17	6306	1536
18	6598	1536
19	6921	1536
20	7053	1536
21	7069	1536
22	7069	1536
0	8148	1536
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

Stop Event

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

Compiler

Compiled 132 to 70 computations (47% saved)

preprocess46.0ms (0.7%)

Memory: 27.2MiB live, 104.5MiB allocated
Remove: (abs y)
Compiler: Compiled 212 to 106 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.2%)

sample1.0s (14.9%)

explain495.0ms (7.2%)

preprocess51.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize19.0ms (0.3%)

series6.0ms (0.1%)

simplify175.0ms (2.6%)

rewrite184.0ms (2.7%)

eval51.0ms (0.7%)

prune41.0ms (0.6%)

simplify5.0ms (0.1%)

localize54.0ms (0.8%)

series21.0ms (0.3%)

simplify196.0ms (2.9%)

rewrite232.0ms (3.4%)

eval248.0ms (3.6%)

prune121.0ms (1.8%)

simplify120.0ms (1.7%)

localize99.0ms (1.4%)

series30.0ms (0.4%)

simplify116.0ms (1.7%)

rewrite302.0ms (4.4%)

eval719.0ms (10.5%)

prune175.0ms (2.5%)

simplify113.0ms (1.6%)

localize51.0ms (0.7%)

series19.0ms (0.3%)

simplify140.0ms (2%)

rewrite156.0ms (2.3%)

eval105.0ms (1.5%)

prune180.0ms (2.6%)

regimes96.0ms (1.4%)

regimes23.0ms (0.3%)

regimes50.0ms (0.7%)

regimes9.0ms (0.1%)

regimes44.0ms (0.6%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch24.0ms (0.4%)

simplify47.0ms (0.7%)

soundness1.3s (18.3%)

preprocess46.0ms (0.7%)

end0.0ms (0%)

Profiling