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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB 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 (19.7%)

Memory

1.2MiB live, 786.8MiB allocated

Samples

733.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 535.0ms

ival-mult: 316.0ms (59.1% of total)

ival-div: 166.0ms (31% of total)

ival-sub: 39.0ms (7.3% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain71.0ms (1.3%)

Memory

1.8MiB live, 120.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
35	-	2	(1.0753378445210767e-60 -2.5044368073054933e-161)	`(/.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	16	0
↳	`(*.f64 y y)`	underflow	67

Confusion

	Predicted +	Predicted -
+	16	2
-	0	238

Precision

1.0

Recall

0.8888888888888888

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	16	0	2
-	0	0	238

Precision?

1.0

Recall?

0.8888888888888888

Freqs

test

number	freq
0	240
1	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (56.1% of total)

ival-div: 3.0ms (21% of total)

ival-sub: 2.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

preprocess46.0ms (0.9%)

Memory

4.6MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Rules

360×	`times-frac`
76×	`associate-/r*`
73×	`associate-*r/`
66×	`associate-l`
65×	`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 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.6%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

3×	`lower-/.f32`
2×	`lower-+.f64`
2×	`lower-/.f64`
2×	`lower-+.f32`
1×	`lift-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.4%)

Memory

-8.4MiB live, 29.3MiB 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	7.923428365466156	(/.f64 x (*.f64 y y))

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (34.5% of total)

ival-mult: 2.0ms (34.5% of total)

ival-sub: 1.0ms (17.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

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

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(- (/ x (* y y)) 3)
0.0ms	x	@	0	(/ x (* y y))
0.0ms	x	@	0	(- (/ x (* y y)) 3)
0.0ms	y	@	0	(- (/ x (* y y)) 3)
0.0ms	x	@	-inf	(/ x (* y y))

simplify153.0ms (2.9%)

Memory

8.1MiB live, 102.6MiB allocated

Algorithm

1×	egg-herbie

Rules

1 430×	`lower-fma.f64`
1 430×	`lower-fma.f32`
1 299×	`lower-*.f64`
1 299×	`lower-*.f32`
696×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	300
1	43	300
2	103	300
3	250	300
4	472	300
5	785	300
6	1177	300
7	1855	300
8	2697	300
9	3327	300
10	3815	300
11	4073	300
12	4256	300
13	4723	300
14	5512	300
15	6174	300
16	7377	300
0	8081	300

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

Outputs
-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 (- (/ 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))
(* -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 (* -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))
-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))
-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 (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 (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 (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 (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)
(pow y 2)
(*.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)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

rewrite177.0ms (3.4%)

Memory

-5.0MiB live, 310.3MiB allocated

Rules

2 093×	`lower-/.f32`
2 092×	`lower-/.f64`
1 593×	`lower-fma.f64`
1 593×	`lower-fma.f32`
1 519×	`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 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) #s(literal -9 binary64)) (+.f64 #s(literal 27 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))))) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (-.f64 #s(literal 9 binary64) (.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) #s(literal 27 binary64)) (.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 #s(literal 3 binary64) x)) (.f64 y y)) #s(literal 9 binary64)))) (-.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 #s(literal 3 binary64) x)) (*.f64 y y)) #s(literal 9 binary64)))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) #s(literal 27 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64))) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))))) (fma.f64 (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)) (-.f64 (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)) (.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)))) (.f64 (.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y))) (.f64 x (/.f64 x (.f64 (.f64 (*.f64 y y) y) y))))))
(.f64 (/.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) #s(literal -9 binary64)) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) #s(literal -9 binary64))) (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64))) (fma.f64 x (/.f64 x (.f64 (.f64 (*.f64 y y) y) y)) #s(literal -9 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)))) (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) #s(literal 27 binary64)))
(.f64 (+.f64 #s(literal 27 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64))))))
(.f64 (neg.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal -3 binary64))))
(.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))
(.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))
(.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) (*.f64 y y))))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) (.f64 y y)))) (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) #s(literal 27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y))) (.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64))))) (neg.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (*.f64 y y) y) y)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) #s(literal 729 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64))))) (neg.f64 (fma.f64 (.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y))) (.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y))) (fma.f64 #s(literal 9 binary64) (.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y))) #s(literal 81 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) #s(literal 729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)))))) (neg.f64 (+.f64 #s(literal 27 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -9 binary64)) #s(literal 19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)))))) (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal -27 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (.f64 (.f64 x x) x) #s(literal 729 binary64)) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 y y) y)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) #s(literal -9 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal -3 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) #s(literal 27 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) (.f64 (.f64 (.f64 y y) y) y))) (/.f64 (.f64 x x) (.f64 (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) (.f64 (.f64 (.f64 y y) y) y)))) (.f64 (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)))))) (neg.f64 (+.f64 (/.f64 (.f64 x x) (.f64 (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) (.f64 (.f64 (.f64 y y) y) y))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64))) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64))))))) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64))) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 y y)) x #s(literal 9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y))))) (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (.f64 (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) (.f64 (.f64 (.f64 y y) y) y))) #s(literal 3 binary64)) (.f64 (.f64 (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)))))) (neg.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) (.f64 (.f64 (.f64 y y) y) y))) (/.f64 (.f64 x x) (.f64 (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) (.f64 (.f64 (.f64 y y) y) y))) (fma.f64 (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64))) (.f64 (/.f64 (.f64 x x) (.f64 (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) (.f64 (.f64 (.f64 y y) y) y))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64))) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64))) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)))) (.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64))) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 y y)) x #s(literal 9 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) #s(literal -9 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 x) (.f64 y y)) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y))) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64))) (.f64 (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) #s(literal 9 binary64)))) (neg.f64 (.f64 (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)))) (.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64))) #s(literal 27 binary64)))) (neg.f64 (.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64))) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 27 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 y y)) x #s(literal 9 binary64)))))))
(/.f64 (-.f64 (neg.f64 (.f64 x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)))) #s(literal -9 binary64)) (+.f64 (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal -3 binary64)))
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(pow.f64 (*.f64 (/.f64 y x) y) #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 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 x (*.f64 y y))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 y y))))
(neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 y y)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (neg.f64 y))) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) y) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 (neg.f64 x) (.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (*.f64 y y)))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 y y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(*.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 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #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 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(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)))

eval32.0ms (0.6%)

Memory: 4.1MiB live, 80.5MiB allocated
Compiler: Compiled 10 235 to 656 computations (93.6% saved)

prune41.0ms (0.8%)

Memory

-14.7MiB live, 107.2MiB 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
	99.9%	(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
▶	93.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
▶	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
▶	99.9%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
✓	93.6%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
▶	48.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	46.5%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 135 to 92 computations (31.9% saved)

simplify6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
cost-diff	384	(/.f64 (/.f64 x y) y)
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
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	0	(/.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))

Rules

20×	`lower-*.f32`
19×	`lower-*.f64`
15×	`lower-/.f32`
8×	`lower-/.f64`
8×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	97
0	33	101
1	47	92
2	60	92
3	91	92
4	94	92
5	96	92
0	96	92

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (1.2%)

Memory

-13.7MiB live, 106.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy	0.125	(/.f64 (/.f64 x y) y)
accuracy	0	(*.f64 y y)
accuracy	0.325014597070364	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	4.269810061586881	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
accuracy	0	(*.f64 y y)
accuracy	7.923428365466156	(/.f64 x (*.f64 y y))
accuracy	28.90582038300299	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
accuracy	34.25284810566213	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
accuracy	0	(/.f64 y x)
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
accuracy	0.15072250976844204	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))

Samples

33.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 11.0ms (56.7% of total)

ival-sub: 3.0ms (15.5% of total)

ival-mult: 3.0ms (15.5% of total)

ival-add: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

13 → 276

Calls

Call 1

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

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

Calls

69 calls:

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

simplify144.0ms (2.7%)

Memory

-22.0MiB live, 93.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 392×	`lower-fma.f64`
1 392×	`lower-fma.f32`
1 329×	`lower-*.f64`
1 329×	`lower-*.f32`
714×	`div-sub`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	24	1716
1	46	1716
2	104	1716
3	251	1716
4	476	1716
5	792	1716
6	1230	1716
7	1992	1356
8	2759	1356
9	3104	1356
10	3567	1356
11	3829	1356
12	4012	1356
13	4505	1356
14	5306	1356
15	6018	1356
16	7304	1356
0	8060	1356

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

rewrite196.0ms (3.7%)

Memory

19.8MiB live, 251.9MiB allocated

Rules

2 576×	`lower-*.f32`
2 575×	`lower-*.f64`
2 368×	`lower-fma.f32`
2 367×	`lower-fma.f64`
2 085×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	80
0	33	75
1	144	68
2	950	68
0	8724	68

Stop Event

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

Counts

13 → 618

Calls

Call 1

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

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

eval102.0ms (1.9%)

Memory: 13.0MiB live, 164.8MiB allocated
Compiler: Compiled 14 018 to 805 computations (94.3% saved)

prune74.0ms (1.4%)

Memory

-8.8MiB live, 116.7MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	927	5	932
Fresh	1	1	2
Picked	3	2	5
Done	0	1	1
Total	931	9	940

Accuracy

100.0%

Counts

940 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.6%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
▶	54.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
▶	54.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
✓	48.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	54.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
	51.4%	#s(approx (- (/ x (* y y)) 3) (*.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)) y)))
▶	48.2%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
✓	46.5%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 151 to 91 computations (39.7% saved)

simplify6.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.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 y x)))
cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
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	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
cost-diff	384	(/.f64 (/.f64 x y) y)
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 (/.f64 y x) y)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))

Rules

20×	`lower-*.f32`
17×	`lower-*.f64`
15×	`lower-/.f32`
8×	`lower-/.f64`
7×	`lift-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	148
0	33	152
1	48	132
2	59	132
3	88	132
4	91	132
5	93	132
0	93	132

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (1.2%)

Memory

16.1MiB live, 90.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.15072250976844204	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
accuracy	28.90582038300299	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
accuracy	0	(/.f64 y x)
accuracy	0.14453125	(*.f64 (/.f64 y x) y)
accuracy	0.211187111758316	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy	28.90582038300299	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
accuracy	0	(/.f64 x y)
accuracy	0.125	(/.f64 (/.f64 x y) y)
accuracy	28.90582038300299	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
accuracy	0	(*.f64 y y)
accuracy	0.325014597070364	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	8.107350608808897	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
accuracy	28.90582038300299	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
accuracy	0	(/.f64 y x)
accuracy	0	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
accuracy	0.14453125	(*.f64 (/.f64 y x) y)
accuracy	0.211187111758316	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))

Samples

41.0ms

256×

valid

Compiler

Compiled 120 to 19 computations (84.2% saved)

Precisions

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

ival-div: 13.0ms (51.3% of total)

ival-mult: 10.0ms (39.5% of total)

ival-sub: 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)

series17.0ms (0.3%)

Memory

-18.9MiB live, 17.9MiB allocated

Counts

15 → 324

Calls

Call 1

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

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

Calls

81 calls:

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

simplify212.0ms (4%)

Memory

5.5MiB live, 126.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 860×	`lower-fma.f64`
1 860×	`lower-fma.f32`
1 388×	`lower-*.f64`
1 388×	`lower-*.f32`
869×	`associate-/l*`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	25	1956
1	47	1956
2	106	1956
3	254	1956
4	481	1956
5	811	1956
6	1353	1956
7	2267	1596
8	3055	1596
9	3398	1596
10	3785	1596
11	4017	1596
12	4316	1596
13	4928	1596
14	5033	1596
15	5517	1596
16	5879	1596
17	6315	1596
18	6611	1596
19	6938	1596
20	7070	1596
21	7086	1596
22	7086	1596
0	8085	1596

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

rewrite225.0ms (4.3%)

Memory

-7.0MiB live, 269.5MiB allocated

Rules

2 815×	`lower-fma.f64`
2 815×	`lower-fma.f32`
1 910×	`lower-*.f32`
1 907×	`lower-*.f64`
1 091×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
0	33	101
1	115	99
2	923	99
3	7385	99
0	8223	94

Stop Event

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

Counts

15 → 516

Calls

Call 1

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

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

eval407.0ms (7.7%)

Memory: -132.5MiB live, 225.8MiB allocated
Compiler: Compiled 13 912 to 994 computations (92.9% saved)

prune173.0ms (3.3%)

Memory

-30.3MiB live, 129.5MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 098	0	1 098
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	1 098	9	1 107

Accuracy

100.0%

Counts

1 107 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.6%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
✓	54.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
✓	54.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
✓	48.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	54.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
▶	51.4%	#s(approx (- (/ x (* y y)) 3) (*.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)) y)))
✓	48.2%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
✓	46.5%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 86 to 52 computations (39.5% saved)

simplify9.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

61×	`lower-*.f32`
60×	`lower-*.f64`
41×	`associate-r`
38×	`times-frac`
34×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	19	56
1	33	50
2	58	42
3	93	42
4	103	42
5	121	38
6	131	38
7	203	38
8	275	38
9	279	38
0	279	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (0.8%)

Memory

27.9MiB live, 64.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(/.f64 (pow.f64 y #s(literal -1/2 binary64)) y)
accuracy	0.31640625	(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy	3.9526026794473426	(*.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)) y))
accuracy	28.90582038300299	#s(approx (- (/ x (* y y)) 3) (*.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)) y)))

Samples

29.0ms

256×

valid

Compiler

Compiled 44 to 15 computations (65.9% saved)

Precisions

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

ival-pow: 9.0ms (42.5% of total)

ival-div: 6.0ms (28.3% of total)

ival-mult: 4.0ms (18.9% of total)

ival-sub: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.3%)

Memory

-31.7MiB live, 11.5MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) y))
1.0ms	x	@	0	(/ (pow y -1/2) (/ 1 x))
0.0ms	y	@	-inf	(/ (pow y -1/2) y)
0.0ms	y	@	-inf	(pow y -1/2)
0.0ms	y	@	-inf	(/ (pow y -1/2) (/ 1 x))

simplify137.0ms (2.6%)

Memory

1.5MiB live, 113.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 848×	`lower-fma.f64`
1 848×	`lower-fma.f32`
1 329×	`lower-*.f64`
1 329×	`lower-*.f32`
496×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	600
1	72	560
2	187	552
3	486	552
4	2036	552
5	4669	552
6	6256	552
7	7073	552
8	7970	552
0	8018	549

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite214.0ms (4.1%)

Memory

1.9MiB live, 209.7MiB allocated

Rules

2 061×	`lower-fma.f64`
2 061×	`lower-fma.f32`
2 007×	`lower-*.f32`
2 006×	`lower-*.f64`
1 315×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	19	49
1	86	31
2	584	29
3	5982	29
0	8178	28

Stop Event

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

Counts

5 → 234

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (*.f64 y (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (/.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 y)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) x)
(.f64 (.f64 (/.f64 x y) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (.f64 (/.f64 x y) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 y #s(literal -1/4 binary64)) x))
(.f64 (/.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x))
(.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -5/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal -1/4 binary64)) x))))
(.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal -1/4 binary64)) x))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal -1/4 binary64)) x))))
(.f64 (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal -1/4 binary64)) x))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal -1/4 binary64)) x))))
(*.f64 (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) y) (/.f64 #s(literal -1 binary64) x)))
(.f64 (pow.f64 y #s(literal -5/4 binary64)) (/.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) x) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -5/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x)))
(.f64 (pow.f64 y #s(literal -5/4 binary64)) (.f64 x (pow.f64 y #s(literal -3/4 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) y) (.f64 (pow.f64 y #s(literal -1/4 binary64)) x))
(.f64 (.f64 x (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -5/4 binary64)))
(.f64 (pow.f64 y #s(literal -3/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 y x)))
(.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) (.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x))
(.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 y #s(literal 1/2 binary64))))
(.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x) (neg.f64 (pow.f64 y #s(literal -3/2 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) x) (/.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) y) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) x) (/.f64 (pow.f64 y #s(literal -5/4 binary64)) (pow.f64 y #s(literal 1/2 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) x) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) y))
(.f64 (.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) y)))
(.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)) x) y)))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) y) x))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 x y)))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -5/4 binary64)) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x) (pow.f64 y #s(literal -3/2 binary64))))
(.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 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 y x)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -5/4 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x)))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal -1/4 binary64)) x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y x)))
(*.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)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x)))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (.f64 (pow.f64 y #s(literal 1/2 binary64)) y)))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 y)))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (pow.f64 y #s(literal -3/2 binary64))))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 y) 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)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1 binary64) (/.f64 x (.f64 (neg.f64 y) y)))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(.f64 (pow.f64 y #s(literal -3/2 binary64)) (.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -3/2 binary64)))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 (.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (pow.f64 y #s(literal 1/2 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x) (.f64 (neg.f64 y) (pow.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x) y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (/.f64 (neg.f64 y) x) (pow.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (.f64 (neg.f64 y) (pow.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (pow.f64 y #s(literal 1/2 binary64)) y) (neg.f64 (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 y) y)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x))
(/.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal 1/2 binary64)) y))
(/.f64 x (*.f64 y y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x) y))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) x))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 y) x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x)))
(neg.f64 (/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x) (.f64 (pow.f64 y #s(literal 1/2 binary64)) y)))
(neg.f64 (.f64 (pow.f64 y #s(literal -3/2 binary64)) (.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x)))
(neg.f64 (.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -3/2 binary64)))))
(neg.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) (.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(neg.f64 (.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x) (pow.f64 y #s(literal -3/2 binary64))))
(neg.f64 (.f64 (/.f64 x (.f64 (neg.f64 y) y)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) y)) (/.f64 x (.f64 (neg.f64 y) y)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (neg.f64 y) y)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) y)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 y #s(literal -1/8 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x)))
(.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) x) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 x)))
(.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 (pow.f64 y #s(literal -1/2 binary64))) x))
(.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 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)
(pow.f64 (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(/.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x)))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x)))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) x)))
(neg.f64 (.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x))
(exp.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (log.f64 x)))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/2 binary64)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -5/4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) y))
(*.f64 (pow.f64 y #s(literal -5/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (pow.f64 y #s(literal -3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (neg.f64 y)))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) y)))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal -5/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -5/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -5/4 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 y y) y) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -3/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal -3/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (pow.f64 y #s(literal 1/2 binary64))))
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) y))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) y)
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -3/2 binary64)))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (pow.f64 y #s(literal -3/2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal -3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -3/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y y) y)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -3/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -3/2 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 #s(literal -3/2 binary64) (log.f64 y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))

eval49.0ms (0.9%)

Memory: -0.2MiB live, 73.0MiB allocated
Compiler: Compiled 5 168 to 639 computations (87.6% saved)

prune48.0ms (0.9%)

Memory

7.7MiB live, 90.3MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	370	1	371
Fresh	0	0	0
Picked	1	0	1
Done	0	8	8
Total	371	9	380

Accuracy

100.0%

Counts

380 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.6%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
✓	54.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
✓	54.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
✓	48.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	54.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
	51.4%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)))
✓	48.2%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
✓	46.5%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 206 to 85 computations (58.7% saved)

regimes25.0ms (0.5%)

Memory

16.1MiB live, 52.7MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
5.0ms	y
5.0ms	x
4.0ms	(*.f64 y y)
4.0ms	(/.f64 x (*.f64 y y))

Results

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

Compiler

Compiled 27 to 17 computations (37% saved)

regimes20.0ms (0.4%)

Memory

-5.8MiB live, 32.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
4.0ms	y
4.0ms	x
3.0ms	(*.f64 y y)
3.0ms	(/.f64 x (*.f64 y y))

Results

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

Compiler

Compiled 27 to 17 computations (37% saved)

regimes14.0ms (0.3%)

Memory

-7.7MiB live, 29.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	y
3.0ms	x
2.0ms	(*.f64 y y)
2.0ms	(/.f64 x (*.f64 y y))
2.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
93.6%	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 27 to 17 computations (37% saved)

regimes10.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
93.6%	1	`x`
93.6%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
93.6%	1	`(/.f64 x (*.f64 y y))`
93.6%	1	`y`
93.6%	1	`(*.f64 y y)`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes13.0ms (0.2%)

Memory

-21.5MiB live, 20.2MiB 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:

6.0ms	(/.f64 x (*.f64 y y))
2.0ms	y
2.0ms	x
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
63.1%	3	`x`
82.6%	2	`y`
92.0%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
92.0%	3	`(/.f64 x (*.f64 y y))`
82.6%	2	`(*.f64 y y)`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes6.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB 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 x (*.f64 y y))
1.0ms	(*.f64 y y)
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
46.5%	1	`x`
46.5%	1	`y`
46.5%	1	`(*.f64 y y)`
46.5%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
46.5%	1	`(/.f64 x (*.f64 y y))`

Compiler

Compiled 27 to 17 computations (37% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.385120056596705e-252	4.869028542682911e-249

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch22.0ms (0.4%)

Memory

8.3MiB live, 45.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.008075444762029775	23080765.579154756
12.0ms	-2260628.8442668696	-5.776599795092036e-31

Samples

8.0ms

320×

valid

Compiler

Compiled 212 to 151 computations (28.8% saved)

Precisions

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

ival-sub: 2.0ms (93.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify33.0ms (0.6%)

Memory

-24.6MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	109
1	35	109
2	41	109
3	43	109
4	44	109

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (.f64 y y) #s(literal 5159126280621731/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264 binary64)) #s(approx (- (/ x ( y y)) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x ( y y)) 3) (/.f64 x (.f64 y y))) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Outputs
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (.f64 y y) #s(literal 5159126280621731/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264 binary64)) #s(approx (- (/ x ( y y)) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x ( y y)) 3) (/.f64 x (.f64 y y))) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

soundness1.3s (23.8%)

Memory

23.0MiB live, 348.5MiB allocated

Rules

2 576×	`lower-*.f32`
2 575×	`lower-*.f64`
2 368×	`lower-fma.f32`
2 367×	`lower-fma.f64`
2 093×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	80
0	33	75
1	144	68
2	950	68
0	8724	68
0	6	15
0	9	15
1	38	15
2	288	15
3	3249	15
0	8174	14
0	21	300
1	43	300
2	103	300
3	250	300
4	472	300
5	785	300
6	1177	300
7	1855	300
8	2697	300
9	3327	300
10	3815	300
11	4073	300
12	4256	300
13	4723	300
14	5512	300
15	6174	300
16	7377	300
0	8081	300

Stop Event

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

Compiler

Compiled 138 to 60 computations (56.5% saved)

preprocess70.0ms (1.3%)

Memory: -2.4MiB live, 116.7MiB allocated
Remove: (abs y)
Compiler: Compiled 272 to 112 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	56
0	19	56
1	33	50
2	58	42
3	93	42
4	103	42
5	121	38
6	131	38
7	203	38
8	275	38
9	279	38
0	279	37

Iter	Nodes	Cost
0	14	56
0	19	56
1	33	50
2	58	42
3	93	42
4	103	42
5	121	38
6	131	38
7	203	38
8	275	38
9	279	38
0	279	37

start0.0ms (0%)

analyze11.0ms (0.2%)

sample1.0s (19.7%)

explain71.0ms (1.3%)

preprocess46.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize21.0ms (0.4%)

series5.0ms (0.1%)

simplify153.0ms (2.9%)

rewrite177.0ms (3.4%)

eval32.0ms (0.6%)

prune41.0ms (0.8%)

simplify6.0ms (0.1%)

localize66.0ms (1.2%)

series12.0ms (0.2%)

simplify144.0ms (2.7%)

rewrite196.0ms (3.7%)

eval102.0ms (1.9%)

prune74.0ms (1.4%)

simplify6.0ms (0.1%)

localize64.0ms (1.2%)

series17.0ms (0.3%)

simplify212.0ms (4%)

rewrite225.0ms (4.3%)

eval407.0ms (7.7%)

prune173.0ms (3.3%)

simplify9.0ms (0.2%)

localize41.0ms (0.8%)

series14.0ms (0.3%)

simplify137.0ms (2.6%)

rewrite214.0ms (4.1%)

eval49.0ms (0.9%)

prune48.0ms (0.9%)

regimes25.0ms (0.5%)

regimes20.0ms (0.4%)

regimes14.0ms (0.3%)

regimes10.0ms (0.2%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch22.0ms (0.4%)

simplify33.0ms (0.6%)

soundness1.3s (23.8%)

preprocess70.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	56
0	19	56
1	33	50
2	58	42
3	93	42
4	103	42
5	121	38
6	131	38
7	203	38
8	275	38
9	279	38
0	279	37