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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.3%)

Memory

-14.6MiB live, 24.6MiB 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)

sample608.0ms (15%)

Memory

9.8MiB live, 1 317.4MiB allocated

Samples

367.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-mult: 75.0ms (38.7% of total)

ival-div: 60.0ms (31% of total)

ival-sub: 43.0ms (22.2% of total)

ival-true: 6.0ms (3.1% of total)

exact: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain71.0ms (1.8%)

Memory

-15.9MiB live, 153.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
34	-	1	(1.6329448529458183e-291 -3.9284164326078727e-159)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	15	0
↳	`(*.f64 y y)`	underflow	62

Confusion

	Predicted +	Predicted -
+	15	1
-	0	240

Precision

1.0

Recall

0.9375

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	1
-	0	0	240

Precision?

1.0

Recall?

0.9375

Freqs

test

number	freq
0	241
1	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (36.6% of total)

ival-div: 3.0ms (27.4% of total)

ival-sub: 2.0ms (18.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess44.0ms (1.1%)

Memory

4.5MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.2%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB 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))

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)

localize18.0ms (0.5%)

Memory

-10.6MiB live, 28.1MiB 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	7.871228986698357	(/.f64 x (*.f64 y y))

Samples

13.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (46.4% of total)

ival-div: 2.0ms (30.9% of total)

ival-sub: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

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

simplify127.0ms (3.1%)

Memory

6.1MiB live, 82.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite140.0ms (3.5%)

Memory

0.2MiB live, 150.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 227

Calls

Call 1

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

Outputs
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eval44.0ms (1.1%)

Memory: 18.0MiB live, 61.9MiB allocated
Compiler: Compiled 6 591 to 666 computations (89.9% saved)

prune11.0ms (0.3%)

Memory

-15.0MiB live, 22.3MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Accuracy

100.0%

Counts

288 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.0%	(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))
▶	99.9%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
▶	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	94.2%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	99.9%	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
▶	44.8%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	51.4%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 87 to 82 computations (5.7% saved)

simplify40.0ms (1%)

Memory

-1.9MiB live, 34.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (1.4%)

Memory

33.0MiB live, 69.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.1171875	(*.f64 (neg.f64 y) (/.f64 y x))
accuracy	0.5831590089954474	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
accuracy	0	(/.f64 (neg.f64 x) y)
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 x)
accuracy	0.0625	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
accuracy	0	(*.f64 y y)
accuracy	7.871228986698357	(/.f64 x (*.f64 y y))
accuracy	31.629536158115844	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
accuracy	31.12157250255589	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy	0.08203125	(/.f64 (/.f64 x y) y)

Samples

42.0ms

256×

valid

Compiler

Compiled 193 to 44 computations (77.2% saved)

Precisions

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

ival-div: 13.0ms (51.4% of total)

ival-mult: 5.0ms (19.8% of total)

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

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

ival-add: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.7%)

Memory

-18.8MiB live, 26.9MiB allocated

Counts

15 → 312

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	y	@	0	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))
3.0ms	x	@	-inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))
2.0ms	x	@	inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))
2.0ms	y	@	inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))
1.0ms	x	@	0	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))

simplify146.0ms (3.6%)

Memory

-3.8MiB live, 70.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

rewrite122.0ms (3%)

Memory

6.5MiB live, 162.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

15 → 608

Calls

Call 1

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

Outputs
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eval99.0ms (2.4%)

Memory: -1.8MiB live, 191.2MiB allocated
Compiler: Compiled 13 433 to 1 107 computations (91.8% saved)

prune19.0ms (0.5%)

Memory

11.7MiB live, 56.3MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	916	4	920
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	920	7	927

Accuracy

100.0%

Counts

927 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.2%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	50.5%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
✓	44.8%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	50.5%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
▶	44.6%	#s(approx (- (/ x (* y y)) 3) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
▶	50.5%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
✓	51.4%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 44 to 41 computations (6.8% saved)

simplify45.0ms (1.1%)

Memory

-11.6MiB live, 26.3MiB 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 x y) y)
cost-diff	0	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 (/.f64 y x) y)
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
cost-diff	0	(pow.f64 y #s(literal -2 binary64))
cost-diff	0	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
cost-diff	448	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	116
0	38	124
1	58	124
2	89	118
3	151	106
4	229	106
5	649	106
6	1224	106
7	1701	106
8	1992	106
9	2011	106
10	2032	106
11	2045	106
0	2045	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (1.4%)

Memory

6.4MiB live, 82.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0.08203125	(/.f64 (/.f64 x y) y)
accuracy	31.629536158115844	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
accuracy	0	(/.f64 y x)
accuracy	0.1171875	(*.f64 (/.f64 y x) y)
accuracy	0.5831590089954474	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy	31.629536158115844	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
accuracy	0	(pow.f64 y #s(literal -2 binary64))
accuracy	7.948372856986254	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
accuracy	31.629536158115844	#s(approx (- (/ x (* y y)) 3) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 x)
accuracy	0.1484375	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
accuracy	31.629536158115844	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))

Samples

45.0ms

256×

valid

Compiler

Compiled 177 to 43 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 11.0ms (41.3% of total)

ival-mult: 7.0ms (26.3% of total)

ival-pow: 4.0ms (15% of total)

ival-sub: 2.0ms (7.5% of total)

exact: 1.0ms (3.8% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

series15.0ms (0.4%)

Memory

26.2MiB live, 26.2MiB allocated

Counts

15 → 324

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (- (/ x (* y y)) 3) (* (pow y -2) x) (pow y -2) (/ 1 (* (/ y x) y)) (- (/ x (* y y)) 3) (* (/ y x) y) (/ y x) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (/ -1 y))
1.0ms	y	@	0	((* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (- (/ x (* y y)) 3) (* (pow y -2) x) (pow y -2) (/ 1 (* (/ y x) y)) (- (/ x (* y y)) 3) (* (/ y x) y) (/ y x) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (/ -1 y))
1.0ms	x	@	inf	((* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (- (/ x (* y y)) 3) (* (pow y -2) x) (pow y -2) (/ 1 (* (/ y x) y)) (- (/ x (* y y)) 3) (* (/ y x) y) (/ y x) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (/ -1 y))
1.0ms	y	@	inf	((* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (- (/ x (* y y)) 3) (* (pow y -2) x) (pow y -2) (/ 1 (* (/ y x) y)) (- (/ x (* y y)) 3) (* (/ y x) y) (/ y x) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (/ -1 y))
1.0ms	x	@	0	((* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (- (/ x (* y y)) 3) (* (pow y -2) x) (pow y -2) (/ 1 (* (/ y x) y)) (- (/ x (* y y)) 3) (* (/ y x) y) (/ y x) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (/ -1 y))

simplify234.0ms (5.8%)

Memory

-40.3MiB live, 91.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	27	1824
1	53	1824
2	116	1824
3	270	1824
4	517	1824
5	896	1824
6	1372	1824
7	2037	1536
8	2848	1536
9	3191	1536
10	3578	1536
11	3808	1536
12	4210	1536
13	4760	1536
14	4897	1536
15	5440	1536
16	5801	1536
17	6237	1536
18	6557	1536
19	6892	1536
20	7024	1536
21	7040	1536
22	7040	1536
0	8045	1536

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

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

rewrite144.0ms (3.6%)

Memory

32.4MiB live, 176.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	105
0	38	119
1	130	95
2	774	95
3	6581	95
0	8263	91

Stop Event

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

Counts

15 → 516

Calls

Call 1

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

Outputs
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eval152.0ms (3.7%)

Memory: 9.5MiB live, 207.2MiB allocated
Compiler: Compiled 8 311 to 1 209 computations (85.5% saved)

prune61.0ms (1.5%)

Memory

-31.4MiB live, 49.7MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	839	1	840
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	839	8	847

Accuracy

100.0%

Counts

847 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.2%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	50.5%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
✓	44.8%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	50.5%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
✓	44.6%	#s(approx (- (/ x (* y y)) 3) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
✓	50.5%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
▶	44.6%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
✓	51.4%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 52 to 48 computations (7.7% saved)

simplify4.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	-64	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
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))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
0	14	33
1	26	29
2	36	29
3	56	29
4	59	29
5	61	29
0	61	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#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

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

localize22.0ms (0.5%)

Memory

24.2MiB live, 24.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.17221665172363415	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	7.948372856986254	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
accuracy	31.629536158115844	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))

Samples

15.0ms

256×

valid

Compiler

Compiled 53 to 18 computations (66% saved)

Precisions

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

ival-div: 3.0ms (35.9% of total)

ival-mult: 3.0ms (35.9% of total)

ival-sub: 1.0ms (12% 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

6.9MiB live, 6.9MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	((- (/ x (* y y)) 3) (/ 1 (* y y)) (* y y) (* (/ 1 (* y y)) x))
1.0ms	x	@	-inf	((- (/ x (* y y)) 3) (/ 1 (* y y)) (* y y) (* (/ 1 (* y y)) x))
0.0ms	y	@	inf	((- (/ x (* y y)) 3) (/ 1 (* y y)) (* y y) (* (/ 1 (* y y)) x))
0.0ms	x	@	inf	((- (/ x (* y y)) 3) (/ 1 (* y y)) (* y y) (* (/ 1 (* y y)) x))
0.0ms	y	@	-inf	((- (/ x (* y y)) 3) (/ 1 (* y y)) (* y y) (* (/ 1 (* y y)) x))

simplify146.0ms (3.6%)

Memory

-13.9MiB live, 58.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	21	432
1	43	432
2	103	432
3	250	432
4	478	432
5	786	432
6	1182	432
7	1858	360
8	2683	360
9	3334	360
10	3820	360
11	4076	360
12	4257	360
13	4725	360
14	5514	360
15	6176	360
16	7379	360
0	8089	360

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite176.0ms (4.3%)

Memory

-12.9MiB live, 138.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	14	26
1	55	24
2	367	24
3	3670	24
0	8869	23

Stop Event

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

Counts

4 → 145

Calls

Call 1

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

Outputs
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eval64.0ms (1.6%)

Memory: -24.0MiB live, 54.9MiB allocated
Compiler: Compiled 1 915 to 491 computations (74.4% saved)

prune9.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	217	8	225

Accuracy

100.0%

Counts

225 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.2%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	50.5%	#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
✓	44.8%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	50.5%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
✓	44.6%	#s(approx (- (/ x (* y y)) 3) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
✓	50.5%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
✓	44.6%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
✓	51.4%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 136 to 85 computations (37.5% saved)

regimes39.0ms (1%)

Memory

6.7MiB live, 43.1MiB allocated

Counts

12 → 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))
(-.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)))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))

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

Calls

5 calls:

23.0ms	(*.f64 y y)
4.0ms	y
4.0ms	x
4.0ms	(/.f64 x (*.f64 y y))
3.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

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

Compiler

Compiled 17 to 17 computations (0% saved)

regimes15.0ms (0.4%)

Memory

-11.4MiB live, 25.0MiB allocated

Counts

5 → 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))

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:

5.0ms	(*.f64 y y)
2.0ms	y
2.0ms	x
2.0ms	(/.f64 x (*.f64 y y))
2.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
94.2%	1	`x`
99.9%	2	`y`
100.0%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
100.0%	3	`(/.f64 x (*.f64 y y))`
99.9%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes8.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB 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

4 calls:

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

Results

Accuracy	Segments	Branch
94.2%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
94.2%	1	`(/.f64 x (*.f64 y y))`
94.2%	1	`y`
94.2%	1	`(*.f64 y y)`

Compiler

Compiled 16 to 15 computations (6.3% saved)

regimes11.0ms (0.3%)

Memory

-20.0MiB live, 17.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
66.1%	3	`x`
93.1%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
93.1%	3	`(/.f64 x (*.f64 y y))`
82.8%	2	`y`
82.8%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes6.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`y`
51.4%	1	`(*.f64 y y)`
51.4%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
51.4%	1	`(/.f64 x (*.f64 y y))`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5432457e-317	2.828836865925e-312

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch29.0ms (0.7%)

Memory

-9.8MiB live, 37.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.2274448853761733e-22	93.11114178224297
16.0ms	-31.118985315877012	-2.4677009175211704e-31

Samples

9.0ms

352×

valid

Compiler

Compiled 98 to 209 computations (-113.3% saved)

Precisions

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

ival-sub: 2.0ms (83.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify26.0ms (0.6%)

Memory

-21.5MiB live, 56.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (.f64 y y) #s(literal 4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x ( y y)) 3) (/.f64 x (.f64 y y))) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (.f64 y y) #s(literal 4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x ( y y)) 3) (/.f64 x (.f64 y y))) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

soundness1.1s (28.2%)

Memory

20.6MiB live, 302.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 105 to 52 computations (50.5% saved)

preprocess47.0ms (1.2%)

Memory: -1.2MiB live, 74.4MiB allocated
Remove: (abs y)
Compiler: Compiled 186 to 88 computations (52.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.3%)

sample608.0ms (15%)

explain71.0ms (1.8%)

preprocess44.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize18.0ms (0.5%)

series6.0ms (0.1%)

simplify127.0ms (3.1%)

rewrite140.0ms (3.5%)

eval44.0ms (1.1%)

prune11.0ms (0.3%)

simplify40.0ms (1%)

localize56.0ms (1.4%)

series27.0ms (0.7%)

simplify146.0ms (3.6%)

rewrite122.0ms (3%)

eval99.0ms (2.4%)

prune19.0ms (0.5%)

simplify45.0ms (1.1%)

localize58.0ms (1.4%)

series15.0ms (0.4%)

simplify234.0ms (5.8%)

rewrite144.0ms (3.6%)

eval152.0ms (3.7%)

prune61.0ms (1.5%)

simplify4.0ms (0.1%)

localize22.0ms (0.5%)

series5.0ms (0.1%)

simplify146.0ms (3.6%)

rewrite176.0ms (4.3%)

eval64.0ms (1.6%)

prune9.0ms (0.2%)

regimes39.0ms (1%)

regimes15.0ms (0.4%)

regimes8.0ms (0.2%)

regimes11.0ms (0.3%)

regimes6.0ms (0.2%)

bsearch0.0ms (0%)

bsearch29.0ms (0.7%)

simplify26.0ms (0.6%)

soundness1.1s (28.2%)

preprocess47.0ms (1.2%)

end0.0ms (0%)

Profiling