Metrics for Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.3s (18.5%)

Memory

28.2MiB live, 893.1MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 903.0ms

ival-mult: 521.0ms (57.7% of total)

ival-sub: 367.0ms (40.6% of total)

ival-true: 7.0ms (0.8% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain115.0ms (1.6%)

Memory

-11.5MiB live, 103.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x y))`
-	-	`#s(literal 1 binary64)`
-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 101 to 46 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (54.7% of total)

ival-sub: 5.0ms (39.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess40.0ms (0.6%)

Memory

9.7MiB live, 47.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify13.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x y))
cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

2.9MiB live, 37.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy	0.0703125	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

16.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-sub: 6.0ms (61.6% of total)

ival-mult: 4.0ms (41.1% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-21.3MiB live, 16.4MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

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

simplify137.0ms (1.9%)

Memory

1.6MiB live, 130.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	108	332
2	189	332
3	514	332
4	2408	332
5	5858	332
0	8081	332

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

rewrite207.0ms (2.9%)

Memory

42.9MiB live, 308.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	31	15
2	190	15
3	1497	15
0	9602	13

Stop Event

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

Counts

3 → 614

Calls

Call 1

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

Outputs
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eval153.0ms (2.1%)

Memory: -3.9MiB live, 259.7MiB allocated
Compiler: Compiled 20 840 to 1 642 computations (92.1% saved)

prune60.0ms (0.8%)

Memory

-46.8MiB live, 104.1MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	676	8	684
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	676	9	685

Accuracy

100.0%

Counts

685 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
	79.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
▶	81.9%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	59.1%	(.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
	67.2%	(.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 y y)) (/.f64 (.f64 x x) (fma.f64 y x #s(literal 1 binary64))))))
▶	54.6%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
▶	49.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
	49.3%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 237 to 162 computations (31.6% saved)

simplify166.0ms (2.3%)

Memory

42.8MiB live, 192.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
cost-diff	0	(.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
cost-diff	128	(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))))
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x)
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
cost-diff	0	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff	7232	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	286
0	56	286
1	109	286
2	248	283
3	815	283
4	2454	283
5	5524	279
0	8102	278

Stop Event

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

Calls

Call 1

Inputs
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
x
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 6 binary64))
(*.f64 y x)
y
#s(literal 6 binary64)
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
#s(literal 3 binary64)

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

localize110.0ms (1.5%)

Memory

-26.3MiB live, 181.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.17903644999949575	(pow.f64 (*.f64 y x) #s(literal 6 binary64))
accuracy	0.21521381837909412	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy	19.191434344782092	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))
accuracy	24.059731897078795	(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
accuracy	0.11166000976844201	(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
accuracy	0.21521381837909412	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy	1.3968699676000815	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x)
accuracy	19.480877376005832	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.0703125	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
accuracy	29.61578527091323	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0.0703125	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	32.97005919763284	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.19369125976844204	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	3.8085321958913805	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	7.289338268802406	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))

Samples

80.0ms

256×

valid

Compiler

Compiled 559 to 64 computations (88.6% saved)

Precisions

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

ival-mult: 27.0ms (47.7% of total)

ival-pow: 8.0ms (14.1% of total)

ival-div: 7.0ms (12.4% of total)

ival-sub: 7.0ms (12.4% of total)

ival-pow2: 3.0ms (5.3% of total)

ival-add: 2.0ms (3.5% of total)

ival-neg: 2.0ms (3.5% of total)

exact: 1.0ms (1.8% of total)

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

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

series70.0ms (1%)

Memory

5.3MiB live, 122.3MiB allocated

Counts

21 → 492

Calls

Call 1

Inputs
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 y) x))) (patch (.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (.f64 (neg.f64 y) x)) (patch #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (patch (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (patch (.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (patch (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 y x) #s(literal 6 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())

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

6 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	((* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1)) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (pow (* y x) 6))
11.0ms	y	@	-inf	((* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1)) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (pow (* y x) 6))
8.0ms	x	@	inf	((* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1)) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (pow (* y x) 6))
8.0ms	x	@	-inf	((* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1)) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (pow (* y x) 6))
7.0ms	y	@	0	((* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1)) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (pow (* y x) 6))

simplify236.0ms (3.3%)

Memory

-7.7MiB live, 154.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	629	4966
1	2175	4164
2	7542	4115
0	8498	4070

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 478

Calls

Call 1

Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
x
(+ x (* -1 (* (pow x 4) (pow y 3))))
(+ x (* -1 (* (pow x 4) (pow y 3))))
(+ x (* -1 (* (pow x 4) (pow y 3))))
1
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
-1
(- (* x y) 1)
(- (* y (+ x (* y (+ (* -1 (pow x 2)) (pow x 2))))) 1)
(- (* y (+ x (* y (+ (* -1 (pow x 2)) (+ (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3)))) (pow x 2)))))) 1)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (+ (* -1 (* x (* y (+ (* -1 (pow x 2)) (pow x 2))))) (* -1 (pow x 2)))))
(+ x (* y (+ (* -1 (pow x 2)) (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (* y (- (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3)))) (* -1 (pow x 4))))))))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* y (+ (* -1 x) (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))))))
(+ 1 (* y (+ (* -1 x) (* y (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (* x (* y (+ (* -1 (pow x 2)) (pow x 2)))))))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) x)))
(+ 1 (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2)))) x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
1
(+ 1 (* x y))
(+ 1 (* y (+ x (* (pow x 2) y))))
(+ 1 (* y (+ x (* (pow x 2) y))))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 4) (pow y 3)))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 4) (pow y 4))
(* (pow y 4) (+ (* -1 (/ (pow x 3) y)) (pow x 4)))
(* (pow y 4) (- (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (pow x 4)) (/ (pow x 3) y)))
(* (pow y 4) (- (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow y 3))) (pow x 4)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) y)))))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow x 2))) (/ 1 x)) (pow y 3))) (+ (* -1 (pow x 2)) (/ x y))))
(* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) x)) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 2)))) (pow x 2))) (/ 1 (pow x 2))) (pow y 4))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow x 2))) (/ 1 x)) (pow y 3))) (+ (* -1 (pow x 2)) (/ x y)))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow x 3))) (/ 1 (pow x 2))) (pow y 3))) (/ 1 y))))
(* y (+ (* -1 x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) x)) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 2)))) (pow x 3))) (/ 1 (pow x 3))) (pow y 4))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow x 3))) (/ 1 (pow x 2))) (pow y 3))) (/ 1 y)))))
(* -1 (* (pow x 4) (pow y 4)))
(* (pow y 4) (+ (* -1 (pow x 4)) (/ (pow x 3) y)))
(* (pow y 4) (- (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (* -1 (pow x 4))) (* -1 (/ (pow x 3) y))))
(* (pow y 4) (- (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow y 3))) (* -1 (pow x 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) y)) (/ (pow x 2) (pow y 2))))))
(/ 1 y)
(/ (- 1 (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow x 4) (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 4) (pow y 4))
(* (pow y 4) (+ (* -1 (/ (pow x 3) y)) (pow x 4)))
(* (pow y 4) (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -1 (pow x 3))) y)) (pow x 4)))
(* (pow y 4) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x y)) (* 2 (/ x y))) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* -1 (pow x 3))) y)) (pow x 4)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* 2 x)) (pow x 4))) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 5))) (/ 1 (pow x 3)))) (pow y 4)))) y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ (+ x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 2)))) (* (pow x 4) (pow y 5)))) (+ (* -1 (/ (+ (* -1 x) (* 2 x)) (* (pow x 5) (pow y 5)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* 2 x)) (pow x 4))) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 5))) (/ 1 (pow x 3)))) (pow y 4))) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (* (pow x 6) (pow y 5)))) (* 2 (/ 1 (* (pow x 4) (pow y 5))))))))) y)) (pow x 2))))
(* -1 (* x y))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* 2 x)) (pow x 5))) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 6))) (/ 1 (pow x 4)))) (pow y 4)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 2)))) (* (pow x 5) (pow y 5)))) (+ (* -1 (/ (+ (* -1 x) (* 2 x)) (* (pow x 6) (pow y 5)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* 2 x)) (pow x 5))) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 6))) (/ 1 (pow x 4)))) (pow y 4))) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (* (pow x 7) (pow y 5)))) (* 2 (/ 1 (* (pow x 5) (pow y 5))))))))) y)))))
(* -1 (* (pow x 4) (pow y 4)))
(* (pow y 4) (+ (* -1 (pow x 4)) (/ (pow x 3) y)))
(* (pow y 4) (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow x 3)) y)) (* -1 (pow x 4))))
(* (pow y 4) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ x y)) (/ x y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (pow x 3)) y)) (* -1 (pow x 4))))
(/ 1 y)
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
x
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3)))))
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3)))))
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3)))))
1
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
-1
(- (* x y) 1)
(- (* x (+ y (* x (+ (* -1 (pow y 2)) (pow y 2))))) 1)
(- (* x (+ y (* x (+ (* -1 (pow y 2)) (+ (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3)))) (pow y 2)))))) 1)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* x (+ (* -1 y) (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2))))))))
(* x (+ 1 (* x (+ (* -1 y) (* x (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* x (* y (+ (* -1 (pow y 2)) (pow y 2))))))))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* x (+ (* -1 y) (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))))))
(+ 1 (* x (+ (* -1 y) (* x (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))))))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y)))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
1
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(+ 1 (* x (+ y (* x (pow y 2)))))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) (pow y 2)))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
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(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 4) (pow y 3)))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 4) (pow y 4))
(* (pow x 4) (+ (* -1 (/ (pow y 3) x)) (pow y 4)))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (pow y 4)) (/ (pow y 3) x)))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) y))) (pow x 3))) (pow y 4)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) x)))))
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(* (pow x 2) (+ (* -1 y) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) y))) y)) (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 2)))) (pow y 3))) (/ 1 (pow y 3))) (pow x 4))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) y))) (pow y 3))) (/ 1 (pow y 2))) (pow x 3))) (/ 1 x)))))
(* -1 (* x y))
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(/ 1 y)
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(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(* (pow x 2) (pow y 2))
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(/ 1 y)
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Outputs
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(.f64 (.f64 y (*.f64 x x)) y)
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(.f64 (.f64 (fma.f64 y y (/.f64 y x)) x) x)
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(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)
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(.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)
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(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)
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(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)
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(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)
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(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)
(* -1 (* x y))
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(-.f64 #s(literal 1 binary64) (*.f64 y x))
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(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
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(* -1 (* x y))
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(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) y) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)
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(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (pow y 3)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
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(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
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(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
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(* (pow x 3) (pow y 3))
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(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 4) (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (/ (pow y 3) x)) (pow y 4)))
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(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) (* -1 (pow y 3))) x)) (pow y 4)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ y x)) (* 2 (/ y x))) (+ (* -1 (pow y 2)) (pow y 2))) x)) (* -1 (pow y 3))) x)) (pow y 4)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) (pow.f64 x #s(literal 4 binary64)))
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(.f64 (.f64 (neg.f64 x) y) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)
(* (pow x 2) (+ (* -1 y) (* -1 (/ (- (+ (/ -1 (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 3) (pow y 3)))) 1) x))))
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(* (pow x 2) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 y) (* 2 y)) (pow y 5))) (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 6))) (/ 1 (pow y 4)))) x)) (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 5)))) (pow x 3))) 1) x))))
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(* -1 (* x y))
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(* -1 (* x (+ y (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 2)))) (* (pow x 5) (pow y 5)))) (+ (* -1 (/ (+ (* -1 y) (* 2 y)) (* (pow x 5) (pow y 6)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 y) (* 2 y)) (pow y 5))) (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 6))) (/ 1 (pow y 4)))) (pow x 4))) (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 5) (pow y 7)))) (* 2 (/ 1 (* (pow x 5) (pow y 5))))))))) x)))))
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(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) (pow y 3)) x)) (* -1 (pow y 4))))
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(/ 1 y)
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(- (/ 1 y) (/ 1 (* x (pow y 2))))
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(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
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(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
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(* (pow x 2) (pow y 2))
(.f64 (.f64 y (*.f64 x x)) y)
(* (pow x 2) (+ (/ y x) (pow y 2)))
(.f64 (.f64 (fma.f64 y y (/.f64 y x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(.f64 (fma.f64 y y (/.f64 (fma.f64 (neg.f64 y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
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(* (pow x 6) (pow y 6))
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(* (pow x 6) (pow y 6))
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(* (pow x 6) (pow y 6))
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rewrite321.0ms (4.5%)

Memory

31.6MiB live, 305.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	222
0	56	217
1	230	217
2	1593	187
0	8240	187

Stop Event

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

Counts

21 → 1 038

Calls

Call 1

Inputs
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))))
(.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 6 binary64))

Outputs
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eval417.0ms (5.8%)

Memory: -6.6MiB live, 566.3MiB allocated
Compiler: Compiled 51 004 to 4 399 computations (91.4% saved)

prune56.0ms (0.8%)

Memory

8.0MiB live, 160.3MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 869	6	1 875
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	1 874	10	1 884

Accuracy

100.0%

Counts

1 884 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x))
	69.7%	(.f64 (.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))
▶	36.8%	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
▶	99.8%	(.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
✓	54.6%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	49.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	49.3%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 230 to 151 computations (34.3% saved)

simplify134.0ms (1.9%)

Memory

-21.7MiB live, 207.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)
cost-diff	128	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
cost-diff	1664	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x))
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	(.f64 (.f64 (neg.f64 x) y) x)
cost-diff	0	#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y))
cost-diff	0	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
cost-diff	0	(-.f64 y (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
cost-diff	0	(.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
cost-diff	832	(*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(.f64 (neg.f64 y) (.f64 x x))
cost-diff	0	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
cost-diff	128	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
cost-diff	960	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	257
0	64	252
1	131	242
2	291	234
3	835	234
4	2118	234
5	4573	234
6	7168	234
0	8056	229

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(neg.f64 x)
y
#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
(.f64 (neg.f64 y) (.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
x
#s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
(*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(-.f64 y (/.f64 #s(literal 1 binary64) x))
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(neg.f64 x)
(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y))
(.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)
(.f64 (.f64 (neg.f64 x) y) x)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(neg.f64 x)
x
y

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

localize145.0ms (2%)

Memory

-1.8MiB live, 110.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.0703125	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x))
accuracy	0.19115953933073862	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
accuracy	3.8085321958913805	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	4.560056178054943	(.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)
accuracy	7.289338268802406	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	29.522288346955392	#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y))
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
accuracy	0.0625	(*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
accuracy	0.0703125	(.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 y)
accuracy	6.179238835082689	(.f64 (neg.f64 y) (.f64 x x))
accuracy	29.02812738437424	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
accuracy	0	(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.07421875	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))))
accuracy	0.19115953933073862	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))

Samples

72.0ms

256×

valid

Compiler

Compiled 410 to 67 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 18.0ms (32.8% of total)

ival-div: 13.0ms (23.7% of total)

ival-pow: 8.0ms (14.6% of total)

ival-sub: 6.0ms (10.9% of total)

ival-add: 4.0ms (7.3% of total)

ival-neg: 3.0ms (5.5% of total)

ival-pow2: 2.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.6%)

Memory

40.6MiB live, 75.0MiB allocated

Counts

20 → 444

Calls

Call 1

Inputs
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) (.f64 x x)) (patch (.f64 (neg.f64 y) (.f64 x x)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (patch (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) (patch (.f64 x #s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (patch #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (.f64 #s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (.f64 (neg.f64 x) y) x) y)) (patch #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 x) y) x) (patch (.f64 (.f64 (neg.f64 x) y) x) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) y) (patch (.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (neg.f64 x) y) x) y) (patch (.f64 (.f64 (.f64 (neg.f64 x) y) x) y) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) (.f64 x x)) (patch (.f64 (neg.f64 y) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) (.f64 x x)) (patch (.f64 (neg.f64 y) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) (.f64 x x)) (patch (.f64 (neg.f64 y) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) (.f64 x x)) (patch (.f64 (neg.f64 y) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (patch (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (patch (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (patch (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (patch (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) (patch (.f64 x #s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 x) y) x) y) (patch (.f64 (.f64 (.f64 (neg.f64 x) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 x) y) x) y) (patch (.f64 (.f64 (.f64 (neg.f64 x) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 x) y) x) y) (patch (.f64 (.f64 (.f64 (neg.f64 x) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 x) y) x) y) (patch (.f64 (.f64 (.f64 (neg.f64 x) y) x) y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	((/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (* (- y (/ 1 x)) (neg x)) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (- y (/ 1 x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg x) y) x) (* (neg x) y) (/ 1 (/ (/ 1 (+ (* (neg x) y) 1)) x)) (/ (/ 1 (+ (* (neg x) y) 1)) x) (/ x (+ (* y x) 1)) (* (* (* (neg x) y) x) y))
6.0ms	x	@	inf	((/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (* (- y (/ 1 x)) (neg x)) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (- y (/ 1 x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg x) y) x) (* (neg x) y) (/ 1 (/ (/ 1 (+ (* (neg x) y) 1)) x)) (/ (/ 1 (+ (* (neg x) y) 1)) x) (/ x (+ (* y x) 1)) (* (* (* (neg x) y) x) y))
3.0ms	x	@	-inf	((/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (* (- y (/ 1 x)) (neg x)) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (- y (/ 1 x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg x) y) x) (* (neg x) y) (/ 1 (/ (/ 1 (+ (* (neg x) y) 1)) x)) (/ (/ 1 (+ (* (neg x) y) 1)) x) (/ x (+ (* y x) 1)) (* (* (* (neg x) y) x) y))
3.0ms	y	@	inf	((/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (* (- y (/ 1 x)) (neg x)) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (- y (/ 1 x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg x) y) x) (* (neg x) y) (/ 1 (/ (/ 1 (+ (* (neg x) y) 1)) x)) (/ (/ 1 (+ (* (neg x) y) 1)) x) (/ x (+ (* y x) 1)) (* (* (* (neg x) y) x) y))
3.0ms	y	@	-inf	((/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (* (- y (/ 1 x)) (neg x)) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (- y (/ 1 x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg x) y) x) (* (neg x) y) (/ 1 (/ (/ 1 (+ (* (neg x) y) 1)) x)) (/ (/ 1 (+ (* (neg x) y) 1)) x) (/ x (+ (* y x) 1)) (* (* (* (neg x) y) x) y))

simplify156.0ms (2.2%)

Memory

-5.4MiB live, 220.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	4280
1	1597	3802
2	5359	3617
0	8978	3574

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 428

Calls

Call 1

Inputs
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(+ x (* -1 (* (pow x 2) y)))
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(/ 1 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -1 (* x y))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (- y (/ 1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* x y))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (* -1 (/ (- (+ (/ -1 (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 3) (pow y 3)))) 1) x))))
(* (pow x 2) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 y) (* 2 y)) (pow y 5))) (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 6))) (/ 1 (pow y 4)))) x)) (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 5)))) (pow x 3))) 1) x))))
(* -1 (* x y))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 y) (* 2 y)) (pow y 5))) (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 6))) (/ 1 (pow y 4)))) (pow x 4)))) x)))))
(* -1 (* x (+ y (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 2)))) (* (pow x 5) (pow y 5)))) (+ (* -1 (/ (+ (* -1 y) (* 2 y)) (* (pow x 5) (pow y 6)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 y) (* 2 y)) (pow y 5))) (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 6))) (/ 1 (pow y 4)))) (pow x 4))) (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 5) (pow y 7)))) (* 2 (/ 1 (* (pow x 5) (pow y 5))))))))) x)))))
y
(- y (/ 1 x))
(- y (/ 1 x))
(- y (/ 1 x))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))

Outputs
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(+ x (* -1 (* (pow x 2) y)))
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(+ x (* -1 (* (pow x 2) y)))
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1
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1
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x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 y) x) x)
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(.f64 (.f64 (neg.f64 y) x) x)
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(.f64 (.f64 (neg.f64 y) x) x)
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(.f64 (.f64 (neg.f64 y) x) x)
(* -1 y)
(neg.f64 y)
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x
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(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* y (+ (* -1 (pow x 2)) (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (* y (- (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3)))) (* -1 (pow x 4))))))))))
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(+ 1 (* y (+ (* -1 x) (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))))))
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(+ 1 (* y (+ (* -1 x) (* y (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (* x (* y (+ (* -1 (pow x 2)) (pow x 2)))))))))
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(/ -1 x)
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x
(+ x (* -1 (* (pow x 2) y)))
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(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
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(fma.f64 (.f64 y y) (.f64 (neg.f64 x) x) #s(literal 1 binary64))
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(fma.f64 (.f64 y y) (.f64 (neg.f64 x) x) #s(literal 1 binary64))
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(fma.f64 (.f64 y y) (.f64 (neg.f64 x) x) #s(literal 1 binary64))
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(.f64 (.f64 (neg.f64 y) x) x)
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(.f64 (.f64 (neg.f64 y) x) x)
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(.f64 (.f64 (neg.f64 y) x) x)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 y) x) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
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(*.f64 (neg.f64 y) x)
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(*.f64 (neg.f64 y) x)
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(*.f64 (neg.f64 y) x)
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(/ 1 x)
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(+ y (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* y (+ 1 (* x y))) (/ 1 x))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) x x) y #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
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(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
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(* -1 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (*.f64 (neg.f64 y) x) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (*.f64 (neg.f64 y) x) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (*.f64 (neg.f64 y) x) x) y)
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(.f64 (.f64 (*.f64 (neg.f64 y) x) x) y)
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(.f64 (.f64 (neg.f64 y) x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
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(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
(/ -1 (* x y))
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(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
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(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
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(.f64 (.f64 (neg.f64 y) x) x)
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(.f64 (.f64 (neg.f64 y) x) x)
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(.f64 (.f64 (neg.f64 y) x) x)
(* -1 y)
(neg.f64 y)
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(.f64 (.f64 (neg.f64 y) x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
(* y (+ (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow x 2))) (/ 1 x)) (pow y 3))) (+ (* -1 (pow x 2)) (/ x y))))
(*.f64 (-.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 3 binary64)))) y)
(* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) x)) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 2)))) (pow x 2))) (/ 1 (pow x 2))) (pow y 4))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow x 2))) (/ 1 x)) (pow y 3))) (+ (* -1 (pow x 2)) (/ x y)))))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (/.f64 x y))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 3 binary64)))) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
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(* y (+ (* -1 x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) x)) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 2)))) (pow x 3))) (/ 1 (pow x 3))) (pow y 4))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow x 3))) (/ 1 (pow x 2))) (pow y 3))) (/ 1 y)))))
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y
(* y (- 1 (/ 1 (* x y))))
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(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
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(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)
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(/ 1 y)
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rewrite197.0ms (2.8%)

Memory

-6.1MiB live, 290.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	218
0	64	216
1	283	206
2	1945	184
0	8631	182

Stop Event

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

Counts

20 → 771

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(neg.f64 x)
#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
(.f64 (neg.f64 y) (.f64 x x))
(neg.f64 y)
(*.f64 x x)
(*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
#s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
(-.f64 y (/.f64 #s(literal 1 binary64) x))
(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y))
(.f64 (.f64 (neg.f64 x) y) x)
(*.f64 (neg.f64 x) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)

Outputs
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eval448.0ms (6.3%)

Memory: 5.4MiB live, 567.4MiB allocated
Compiler: Compiled 26 188 to 3 016 computations (88.5% saved)

prune96.0ms (1.3%)

Memory

-10.6MiB live, 105.9MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 494	4	1 498
Fresh	0	2	2
Picked	4	1	5
Done	0	3	3
Total	1 498	10	1 508

Accuracy

100.0%

Counts

1 508 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
▶	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
▶	54.5%	(/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
▶	99.9%	(+.f64 (.f64 (.f64 (neg.f64 y) x) x) x)
	69.7%	(.f64 (.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	54.6%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	49.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	49.3%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 197 to 129 computations (34.5% saved)

simplify469.0ms (6.6%)

Memory

27.1MiB live, 332.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (*.f64 x x)))
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
cost-diff	640	(.f64 (.f64 (.f64 x y) (.f64 y y)) (*.f64 x x))
cost-diff	0	(fma.f64 y x #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x)
cost-diff	1664	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff	0	#s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
cost-diff	0	(fma.f64 y x #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
cost-diff	960	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	(.f64 (.f64 (neg.f64 y) x) x)
cost-diff	128	(+.f64 (.f64 (.f64 (neg.f64 y) x) x) x)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	215
0	56	213
1	109	198
2	251	182
3	632	180
4	1238	180
5	2487	180
6	4912	180
7	6336	180
8	6662	180
9	6742	180
10	6779	180
11	6823	180
12	7194	180
13	7323	180
14	7463	180
15	7701	180
16	7701	180
17	7702	180
0	8931	180

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (2.6%)

Memory

-39.8MiB live, 209.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.1144037559010056	(.f64 (.f64 x y) (*.f64 y y))
accuracy	1.3968699676000815	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x)
accuracy	10.918139110788047	(.f64 (.f64 (.f64 x y) (.f64 y y)) (*.f64 x x))
accuracy	19.480877376005832	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
accuracy	0	(fma.f64 y x #s(literal -1 binary64))
accuracy	0.0703125	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x)
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
accuracy	0.19115953933073862	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.07421875	(/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
accuracy	0.1484375	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy	29.80792614424211	#s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
accuracy	0	(fma.f64 y x #s(literal -1 binary64))
accuracy	0.07421875	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
accuracy	0.19115953933073862	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(+.f64 (.f64 (.f64 (neg.f64 y) x) x) x)
accuracy	0.09765625	(.f64 (.f64 (neg.f64 y) x) x)

Samples

88.0ms

256×

valid

Compiler

Compiled 416 to 62 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-neg: 25.0ms (36.9% of total)

ival-mult: 21.0ms (31% of total)

ival-div: 14.0ms (20.7% of total)

ival-add: 6.0ms (8.9% of total)

ival-sub: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (0.6%)

Memory

30.1MiB live, 97.9MiB allocated

Counts

19 → 432

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (+.f64 (.f64 (.f64 (neg.f64 y) x) x) x) (patch (+.f64 (.f64 (.f64 (neg.f64 y) x) x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (+.f64 (.f64 (.f64 (neg.f64 y) x) x) x) (patch (+.f64 (.f64 (.f64 (neg.f64 y) x) x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (+.f64 (.f64 (.f64 (neg.f64 y) x) x) x) (patch (+.f64 (.f64 (.f64 (neg.f64 y) x) x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (+.f64 (.f64 (.f64 (neg.f64 y) x) x) x) (patch (+.f64 (.f64 (.f64 (neg.f64 y) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 (.f64 (neg.f64 y) x) x) (patch (.f64 (.f64 (neg.f64 y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 (.f64 (neg.f64 y) x) x) (patch (.f64 (.f64 (neg.f64 y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 (.f64 (neg.f64 y) x) x) (patch (.f64 (.f64 (neg.f64 y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 (.f64 (neg.f64 y) x) x) (patch (.f64 (.f64 (neg.f64 y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 4) (pow y 3))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 3)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (.f64 y y)) (patch (.f64 (.f64 x y) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 3)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (.f64 y y)) (patch (.f64 (.f64 x y) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 3)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (.f64 y y)) (patch (.f64 (.f64 x y) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 3)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (.f64 y y)) (patch (.f64 (.f64 x y) (.f64 y y)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify142.0ms (2%)

Memory

-16.8MiB live, 264.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	3334
1	682	3176
2	1842	3141
3	6795	3140
0	8169	3087

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 420

Calls

Call 1

Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* x y))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* x y))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(/ 1 x)
(+ y (/ 1 x))
(+ (* y (+ 1 (* x y))) (/ 1 x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
1
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (* (pow x 4) (pow y 3))))
(+ x (* -1 (* (pow x 4) (pow y 3))))
(+ x (* -1 (* (pow x 4) (pow y 3))))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(* x y)
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 4) (pow y 3)))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* x y)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 4) (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* x y))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* x y))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(/ 1 x)
(/ (+ 1 (* x y)) x)
(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)
(/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
1
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* x y)
(* x y)
(* x y)
(* x y)
x
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3)))))
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3)))))
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3)))))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(* x y)
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 4) (pow y 3)))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* x y)
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 4) (pow y 3)))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))

Outputs
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) 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 y))
(*.f64 (neg.f64 x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(fma.f64 (fma.f64 (.f64 x (.f64 (fma.f64 y x #s(literal 1 binary64)) x)) y x) y #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(fma.f64 (fma.f64 (.f64 x (.f64 (fma.f64 y x #s(literal 1 binary64)) x)) y x) y #s(literal 1 binary64))
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ y (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* y (+ 1 (* x y))) (/ 1 x))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(fma.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(+ x (* -1 (* (pow x 4) (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
(+ x (* -1 (* (pow x 4) (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
(+ x (* -1 (* (pow x 4) (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) 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 y))
(*.f64 (neg.f64 x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* x y)
(*.f64 y x)
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(/ -1 (* (pow x 2) y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y)
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y)
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 3) (pow y 3)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
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(* -1 (* (pow x 4) (pow y 3)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
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(.f64 (.f64 (neg.f64 x) x) y)
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(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
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(.f64 (.f64 (neg.f64 x) x) y)
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(.f64 (.f64 (neg.f64 x) x) y)
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(.f64 (.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
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(*.f64 (neg.f64 x) y)
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(*.f64 (neg.f64 x) y)
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(*.f64 (neg.f64 x) y)
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(neg.f64 y)
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(neg.f64 y)
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(.f64 (.f64 (neg.f64 x) x) y)
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(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
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(/ -1 (* x y))
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(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y)
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
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rewrite342.0ms (4.8%)

Memory

14.8MiB live, 345.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	168
0	56	149
1	226	121
2	1574	117
0	8950	116

Stop Event

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

Counts

19 → 1 626

Calls

Call 1

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

Outputs
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eval663.0ms (9.3%)

Memory: -147.9MiB live, 543.6MiB allocated
Compiler: Compiled 47 016 to 3 409 computations (92.7% saved)

prune139.0ms (1.9%)

Memory

11.8MiB live, 132.1MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	2 266	4	2 270
Fresh	0	1	1
Picked	2	3	5
Done	0	4	4
Total	2 268	12	2 280

Accuracy

100.0%

Counts

2 280 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
✓	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
	54.5%	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
✓	54.5%	(/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
	54.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))) x))
	99.9%	(-.f64 x (.f64 (.f64 x y) x))
	99.9%	(+.f64 (*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x) x)
	69.7%	(.f64 (.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	54.6%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	49.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	49.3%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 416 to 183 computations (56% saved)

regimes26.0ms (0.4%)

Memory

8.4MiB live, 47.5MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(-.f64 x (.f64 (.f64 x y) x))
(+.f64 (.f64 (.f64 (neg.f64 y) x) x) x)
(.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))) x))
(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 y y)) (/.f64 (.f64 x x) (fma.f64 y x #s(literal 1 binary64))))))
(.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))

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

Calls

3 calls:

11.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
7.0ms	y
7.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes35.0ms (0.5%)

Memory

-22.6MiB live, 12.2MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	x
2.0ms	y
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
79.1%	3	`x`
79.3%	3	`y`
85.2%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
82.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
1.0ms	y

Results

Accuracy	Segments	Branch
49.0%	1	`x`
49.0%	1	`y`
49.0%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.130315548064052e+31	2.2194165413235964e+36
0.0ms	-1.5833466300287393e+152	-1.761261210138513e+147

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.957699904125993e+142	2.0771889211153715e+173
0.0ms	-1.5833466300287393e+152	-1.761261210138513e+147

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify53.0ms (0.7%)

Memory

-4.4MiB live, 69.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	126
1	49	126
2	63	126
3	76	126
4	81	126
5	82	126

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 y) x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 100000000000000005366162204393472 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Outputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 y) x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 100000000000000005366162204393472 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x) #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (.f64 #s(approx (- 1 ( x y)) (.f64 (neg.f64 y) x)) x) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x) #s(literal 100000000000000005366162204393472 binary64)) (.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (.f64 #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)) x)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x) #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* x (- 1 (* x y))) (.f64 (.f64 (neg.f64 x) x) y)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (.f64 #s(approx (- 1 ( x y)) #s(literal 1 binary64)) x) #s(approx (* x (- 1 (* x y))) (.f64 (.f64 (neg.f64 x) x) y))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
(.f64 #s(approx (- 1 ( x y)) #s(literal 1 binary64)) x)

soundness335.0ms (4.7%)

Memory

4.4MiB live, 202.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	108	332
2	189	332
3	514	332
4	2408	332
5	5858	332
0	8081	332

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 108 to 48 computations (55.6% saved)

preprocess33.0ms (0.5%)

Memory: 29.9MiB live, 99.8MiB allocated
Compiler: Compiled 188 to 64 computations (66% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (18.5%)

explain115.0ms (1.6%)

preprocess40.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.2%)

localize21.0ms (0.3%)

series8.0ms (0.1%)

simplify137.0ms (1.9%)

rewrite207.0ms (2.9%)

eval153.0ms (2.1%)

prune60.0ms (0.8%)

simplify166.0ms (2.3%)

localize110.0ms (1.5%)

series70.0ms (1%)

simplify236.0ms (3.3%)

rewrite321.0ms (4.5%)

eval417.0ms (5.8%)

prune56.0ms (0.8%)

simplify134.0ms (1.9%)

localize145.0ms (2%)

series40.0ms (0.6%)

simplify156.0ms (2.2%)

rewrite197.0ms (2.8%)

eval448.0ms (6.3%)

prune96.0ms (1.3%)

simplify469.0ms (6.6%)

localize183.0ms (2.6%)

series40.0ms (0.6%)

simplify142.0ms (2%)

rewrite342.0ms (4.8%)

eval663.0ms (9.3%)

prune139.0ms (1.9%)

regimes26.0ms (0.4%)

regimes35.0ms (0.5%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify53.0ms (0.7%)

soundness335.0ms (4.7%)

preprocess33.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18