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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 (21.5%)

Memory

3.4MiB live, 789.2MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-mult: 178.0ms (68.8% of total)

ival-sub: 66.0ms (25.5% of total)

ival-true: 7.0ms (2.7% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain73.0ms (1.2%)

Memory

-3.3MiB live, 116.9MiB 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

32.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 12.0ms (76% of total)

ival-sub: 3.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

preprocess37.0ms (0.6%)

Memory

4.7MiB live, 41.6MiB 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

1.4MiB live, 1.4MiB 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)

simplify52.0ms (0.8%)

Memory

-34.5MiB live, 15.0MiB 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

localize16.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.012976281620653759	(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy	0.078125	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (59.9% of total)

ival-sub: 1.0ms (20% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB 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	@	-inf	((* 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	@	0	((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))

simplify151.0ms (2.4%)

Memory

22.2MiB live, 133.2MiB 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)

rewrite263.0ms (4.2%)

Memory

4.3MiB live, 238.0MiB 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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eval90.0ms (1.4%)

Memory: -10.2MiB live, 216.2MiB allocated
Compiler: Compiled 20 840 to 1 642 computations (92.1% saved)

prune89.0ms (1.4%)

Memory

-17.9MiB live, 123.2MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	673	11	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	674	11	685

Accuracy

100.0%

Counts

685 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
	75.1%	(/.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)))
▶	94.0%	(-.f64 x (.f64 (.f64 x x) y))
▶	76.9%	(.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))))
	62.0%	(.f64 x (fma.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
	99.9%	(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
	76.9%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))))
	65.1%	(.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))))))
▶	53.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
▶	48.6%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
	50.6%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 244 to 170 computations (30.3% saved)

simplify180.0ms (2.9%)

Memory

-9.8MiB live, 113.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
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	7552	(.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))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) y)
cost-diff	0	(-.f64 x (.f64 (.f64 x x) y))
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	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	(fma.f64 (*.f64 (neg.f64 y) x) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	123
0	37	116
1	73	116
2	119	116
3	239	116
4	562	116
5	1797	116
6	2215	116
7	3019	116
8	4389	116
9	5755	116
10	6867	116
11	7524	116
12	7919	116
0	8010	116

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(.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 x (.f64 (.f64 x x) y))
x
(.f64 (.f64 x x) y)
(*.f64 x x)
y
(.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))

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

localize86.0ms (1.4%)

Memory

27.2MiB live, 98.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.15691376953688402	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	4.5263834270809316	(.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	9.647477559933343	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.021816259768442016	(-.f64 x (.f64 (.f64 x x) y))
accuracy	6.1431478206014845	(.f64 (.f64 x x) y)
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.078125	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
accuracy	30.55265203267251	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0.078125	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	33.192398191356254	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.0703125	(fma.f64 (*.f64 (neg.f64 y) x) x x)

Samples

72.0ms

256×

valid

Compiler

Compiled 115 to 22 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-sub: 34.0ms (57.8% of total)

ival-mult: 12.0ms (20.4% of total)

ival-add: 6.0ms (10.2% of total)

ival-pow2: 3.0ms (5.1% of total)

ival-div: 2.0ms (3.4% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.6%)

Memory

4.3MiB live, 48.8MiB allocated

Counts

15 → 336

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1)))
3.0ms	y	@	inf	((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1)))
3.0ms	x	@	inf	((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1)))
2.0ms	x	@	-inf	((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1)))
2.0ms	y	@	0	((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1)))

simplify134.0ms (2.2%)

Memory

6.5MiB live, 166.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	2159
1	414	1997
2	937	1992
3	3227	1988
0	8239	1981

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 324

Calls

Call 1

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

rewrite204.0ms (3.3%)

Memory

-34.6MiB live, 293.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	101
0	37	94
1	147	94
2	916	94
0	9199	94

Stop Event

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

Counts

15 → 1 166

Calls

Call 1

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

Outputs
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eval238.0ms (3.8%)

Memory: 18.3MiB live, 358.2MiB allocated
Compiler: Compiled 33 804 to 1 689 computations (95% saved)

prune103.0ms (1.7%)

Memory

12.7MiB live, 149.4MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 561	8	1 569
Fresh	5	1	6
Picked	1	4	5
Done	0	0	0
Total	1 567	13	1 580

Accuracy

100.0%

Counts

1 580 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
	75.1%	(/.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)))
	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
✓	94.0%	(-.f64 x (.f64 (.f64 x x) y))
▶	66.9%	(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
	76.9%	(.f64 (fma.f64 (.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	99.9%	(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
▶	27.7%	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (neg.f64 y) (.f64 y (*.f64 x x)))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
	41.0%	(.f64 x #s(approx (- 1 ( x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 y) y))) x)))
▶	41.0%	(.f64 x #s(approx (- 1 ( x y)) (.f64 (.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x)))
✓	53.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	48.6%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	50.6%	#s(approx (- x (* (* x x) y)) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 247 to 181 computations (26.7% saved)

simplify145.0ms (2.3%)

Memory

-7.8MiB live, 100.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(.f64 (.f64 (neg.f64 y) y) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
cost-diff	0	(.f64 y (.f64 x x))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- 1 (pow (* y x) 2)) (.f64 (neg.f64 y) (.f64 y (*.f64 x x))))
cost-diff	0	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (neg.f64 y) (.f64 y (*.f64 x x)))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	#s(approx (- 1 (* x y)) (.f64 (.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (.f64 (.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x)))
cost-diff	1344	(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
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 (* (* x x) y)) (.f64 (neg.f64 y) (.f64 x x)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	228
0	53	222
1	114	200
2	233	194
3	517	194
4	2218	194
5	4726	194
0	8146	194

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (2.1%)

Memory

19.1MiB live, 176.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.0210172281408874	(fma.f64 (.f64 (.f64 (neg.f64 y) y) x) x #s(literal 1 binary64))
accuracy	4.5263834270809316	(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	6.553106895243679	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	9.647477559933343	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	4.5263834270809316	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (neg.f64 y) (.f64 y (*.f64 x x)))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	6.1431478206014845	(.f64 y (.f64 x x))
accuracy	9.647477559933343	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	30.291976652900832	#s(approx (- 1 (pow (* y x) 2)) (.f64 (neg.f64 y) (.f64 y (*.f64 x x))))
accuracy	0	(neg.f64 y)
accuracy	0.078125	(.f64 x #s(approx (- 1 ( x y)) (.f64 (.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x)))
accuracy	30.55265203267251	#s(approx (- 1 (* x y)) (.f64 (.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
accuracy	33.05826850361099	(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 y)
accuracy	6.1431478206014845	(.f64 (neg.f64 y) (.f64 x x))
accuracy	29.922642992001794	#s(approx (- x (* (* x x) y)) (.f64 (neg.f64 y) (.f64 x x)))
accuracy	0	(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.078125	(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)

Samples

100.0ms

256×

valid

Compiler

Compiled 193 to 32 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-add: 40.0ms (49.7% of total)

ival-mult: 29.0ms (36.1% of total)

ival-div: 4.0ms (5% of total)

ival-sub: 4.0ms (5% of total)

ival-pow2: 3.0ms (3.7% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.6%)

Memory

-5.8MiB live, 74.9MiB allocated

Counts

18 → 384

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	((* (+ (* x (neg y)) 1) x) (+ (* x (neg y)) 1) (neg y) (- x (* (* x x) y)) (* (neg y) (* x x)) (* x x) (* (* (neg y) y) (/ 1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (* (neg y) y) (/ 1 y)) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* y (* x x)) (* (+ (* (* (* (neg y) y) x) x) 1) (/ x (+ (* y x) 1))) (* (* (neg y) y) x) (* (neg y) y) (/ x (+ (* y x) 1)) (+ (* (* (* (neg y) y) x) x) 1))
5.0ms	x	@	inf	((* (+ (* x (neg y)) 1) x) (+ (* x (neg y)) 1) (neg y) (- x (* (* x x) y)) (* (neg y) (* x x)) (* x x) (* (* (neg y) y) (/ 1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (* (neg y) y) (/ 1 y)) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* y (* x x)) (* (+ (* (* (* (neg y) y) x) x) 1) (/ x (+ (* y x) 1))) (* (* (neg y) y) x) (* (neg y) y) (/ x (+ (* y x) 1)) (+ (* (* (* (neg y) y) x) x) 1))
3.0ms	y	@	inf	((* (+ (* x (neg y)) 1) x) (+ (* x (neg y)) 1) (neg y) (- x (* (* x x) y)) (* (neg y) (* x x)) (* x x) (* (* (neg y) y) (/ 1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (* (neg y) y) (/ 1 y)) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* y (* x x)) (* (+ (* (* (* (neg y) y) x) x) 1) (/ x (+ (* y x) 1))) (* (* (neg y) y) x) (* (neg y) y) (/ x (+ (* y x) 1)) (+ (* (* (* (neg y) y) x) x) 1))
2.0ms	y	@	-inf	((* (+ (* x (neg y)) 1) x) (+ (* x (neg y)) 1) (neg y) (- x (* (* x x) y)) (* (neg y) (* x x)) (* x x) (* (* (neg y) y) (/ 1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (* (neg y) y) (/ 1 y)) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* y (* x x)) (* (+ (* (* (* (neg y) y) x) x) 1) (/ x (+ (* y x) 1))) (* (* (neg y) y) x) (* (neg y) y) (/ x (+ (* y x) 1)) (+ (* (* (* (neg y) y) x) x) 1))
2.0ms	x	@	0	((* (+ (* x (neg y)) 1) x) (+ (* x (neg y)) 1) (neg y) (- x (* (* x x) y)) (* (neg y) (* x x)) (* x x) (* (* (neg y) y) (/ 1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (* (neg y) y) (/ 1 y)) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* y (* x x)) (* (+ (* (* (* (neg y) y) x) x) 1) (/ x (+ (* y x) 1))) (* (* (neg y) y) x) (* (neg y) y) (/ x (+ (* y x) 1)) (+ (* (* (* (neg y) y) x) x) 1))

simplify227.0ms (3.7%)

Memory

22.2MiB live, 203.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	2493
1	453	2313
2	1019	2308
3	3362	2304
0	8346	2297

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 372

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

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

rewrite249.0ms (4%)

Memory

-12.1MiB live, 347.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	174
0	53	153
1	208	135
2	1305	126
0	9243	126

Stop Event

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

Counts

18 → 1 308

Calls

Call 1

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

Outputs
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eval333.0ms (5.4%)

Memory: 34.1MiB live, 618.5MiB allocated
Compiler: Compiled 38 684 to 3 302 computations (91.5% saved)

prune122.0ms (2%)

Memory

-28.9MiB live, 210.8MiB allocated

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	1 955	8	1 963
Fresh	3	1	4
Picked	2	3	5
Done	0	4	4
Total	1 960	16	1 976

Accuracy

100.0%

Counts

1 976 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
▶	28.9%	(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (fma.f64 y x #s(literal 1 binary64)))
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
✓	94.0%	(-.f64 x (.f64 (.f64 x x) y))
▶	79.5%	(.f64 (fma.f64 (/.f64 x y) (.f64 (neg.f64 y) y) #s(literal 1 binary64)) x)
✓	66.9%	(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	38.7%	(.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) #s(approx (/ x (+ ( y x) 1)) (/.f64 #s(literal 1 binary64) y)))
	83.8%	(.f64 (fma.f64 (.f64 (*.f64 y x) x) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) x)
✓	99.9%	(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
	30.7%	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (neg.f64 y) (.f64 (*.f64 y x) x))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
	53.1%	(.f64 x #s(approx (- 1 ( x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
	41.0%	(.f64 x #s(approx (- 1 ( x y)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)))
✓	53.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	48.6%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	50.5%	#s(approx (- x (* (* x x) y)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)))
✓	50.6%	#s(approx (- x (* (* x x) y)) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 281 to 207 computations (26.3% saved)

simplify146.0ms (2.4%)

Memory

30.2MiB live, 106.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff	0	#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x)
cost-diff	0	(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(.f64 (.f64 (neg.f64 y) y) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) #s(approx (/ x (+ ( y x) 1)) (/.f64 #s(literal 1 binary64) y)))
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(.f64 (fma.f64 (/.f64 x y) (.f64 (neg.f64 y) y) #s(literal 1 binary64)) x)
cost-diff	1024	(fma.f64 (/.f64 x y) (*.f64 (neg.f64 y) y) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- x (* (* x x) y)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)))
cost-diff	960	(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
cost-diff	128	(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
cost-diff	960	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	219
0	61	213
1	107	205
2	219	203
3	522	203
4	1340	203
5	2781	203
6	4440	203
7	6718	203
0	8128	202

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (2.3%)

Memory

-41.2MiB live, 141.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15691376953688402	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	0.9454852216323892	(.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x)
accuracy	13.909273954031192	(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy	30.291976652900832	#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
accuracy	1.0210172281408874	(fma.f64 (.f64 (.f64 (neg.f64 y) y) x) x #s(literal 1 binary64))
accuracy	4.5263834270809316	(.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) #s(approx (/ x (+ ( y x) 1)) (/.f64 #s(literal 1 binary64) y)))
accuracy	6.553106895243679	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	30.543039274876136	#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	0.078125	(.f64 (fma.f64 (/.f64 x y) (.f64 (neg.f64 y) y) #s(literal 1 binary64)) x)
accuracy	16.094273732167007	(fma.f64 (/.f64 x y) (*.f64 (neg.f64 y) y) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(*.f64 x x)
accuracy	6.1743978206014845	(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))
accuracy	29.922642992001794	#s(approx (- x (* (* x x) y)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.078125	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
accuracy	0.12773609264898864	(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))

Samples

116.0ms

256×

valid

Compiler

Compiled 195 to 35 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 30.0ms (48.2% of total)

ival-div: 13.0ms (20.9% of total)

ival-pow2: 9.0ms (14.5% of total)

ival-add: 5.0ms (8% of total)

ival-neg: 3.0ms (4.8% of total)

ival-sub: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory

19.8MiB live, 55.9MiB allocated

Counts

21 → 456

Calls

Call 1

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

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

Calls

6 calls:

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

simplify178.0ms (2.9%)

Memory

3.7MiB live, 245.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	3301
1	686	3087
2	1599	3070
3	5601	3070
0	8455	3052

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 442

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

rewrite166.0ms (2.7%)

Memory

-28.0MiB live, 286.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	185
0	61	180
1	225	170
2	1440	159
0	9418	159

Stop Event

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

Counts

21 → 1 187

Calls

Call 1

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

Outputs
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eval290.0ms (4.7%)

Memory: 37.9MiB live, 490.8MiB allocated
Compiler: Compiled 29 640 to 3 512 computations (88.2% saved)

prune50.0ms (0.8%)

Memory

-12.8MiB live, 131.9MiB allocated

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	1 729	6	1 735
Fresh	3	1	4
Picked	3	2	5
Done	0	7	7
Total	1 735	16	1 751

Accuracy

100.0%

Counts

1 751 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
✓	94.0%	(-.f64 x (.f64 (.f64 x x) y))
✓	79.5%	(.f64 (fma.f64 (/.f64 x y) (.f64 (neg.f64 y) y) #s(literal 1 binary64)) x)
	84.3%	(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
✓	66.9%	(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
	83.8%	(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) x) x) (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) x)
	45.2%	(.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) x) y #s(literal 1 binary64)) #s(approx (/ x (+ ( y x) 1)) (/.f64 #s(literal 1 binary64) y)))
✓	99.9%	(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
	53.1%	(.f64 x #s(approx (- 1 ( x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
✓	53.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	48.6%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	50.5%	#s(approx (- x (* (* x x) y)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)))
	50.5%	#s(approx (- x (* (* x x) y)) (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x x))))
	53.1%	#s(approx (- x (* (* x x) y)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
✓	50.6%	#s(approx (- x (* (* x x) y)) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 554 to 232 computations (58.1% saved)

regimes31.0ms (0.5%)

Memory

16.3MiB live, 54.1MiB allocated

Counts

34 → 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)))
#s(approx (- x (* (* x 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 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
(-.f64 x (.f64 (.f64 x x) y))
(fma.f64 (*.f64 (neg.f64 y) x) x x)
#s(approx (- x (* (* x x) y)) (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x x))))
#s(approx (- x (* (* x x) y)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)))
(.f64 x #s(approx (- 1 ( x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(.f64 (fma.f64 (/.f64 x y) (.f64 (neg.f64 y) y) #s(literal 1 binary64)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
(.f64 x #s(approx (- 1 ( x y)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)))
(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
#s(approx (- x (* (* x x) y)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
(.f64 x #s(approx (- 1 ( x y)) (.f64 (.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x)))
(.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) x) y #s(literal 1 binary64)) #s(approx (/ x (+ ( y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) #s(approx (/ x (+ ( y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(.f64 x #s(approx (- 1 ( x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 y) y))) x)))
(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (neg.f64 y) (.f64 y (*.f64 x x)))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (neg.f64 y) (.f64 (*.f64 y x) x))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))))
(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (fma.f64 y x #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 x (fma.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (*.f64 y x) x) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) x) x) (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(.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))))))

Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)

Calls

3 calls:

11.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
10.0ms	y
10.0ms	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)

regimes21.0ms (0.3%)

Memory

-20.4MiB live, 17.8MiB allocated

Counts

8 → 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)))
#s(approx (- x (* (* x 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 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
(-.f64 x (.f64 (.f64 x x) y))

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

Calls

3 calls:

14.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
3.0ms	y
3.0ms	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)

regimes8.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

5 → 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)))
#s(approx (- x (* (* x 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)))

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

Calls

3 calls:

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

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)

regimes33.0ms (0.5%)

Memory

-23.2MiB live, 15.1MiB allocated

Counts

4 → 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)))
#s(approx (- x (* (* x 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:

29.0ms	x
2.0ms	y
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
78.7%	3	`x`
79.4%	3	`y`
86.8%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

7.4MiB live, 7.4MiB 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)))
#s(approx (- x (* (* x 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
84.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB 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
48.6%	1	`x`
48.6%	1	`y`
48.6%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0982279442658814e+80	5.085200369469949e+80
0.0ms	-2.1957734705571946e+106	-3.1682555996416497e+105

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0982279442658814e+80	5.085200369469949e+80
0.0ms	-2.1957734705571946e+106	-3.1682555996416497e+105

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify63.0ms (1%)

Memory

-19.5MiB live, 57.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	140
1	51	140
2	65	140
3	78	140
4	83	140
5	84	140

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 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 200000000000000000053219729416734553074804802362401618196263954906979517832626176 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 -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 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 200000000000000000053219729416734553074804802362401618196263954906979517832626176 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
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 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 200000000000000000053219729416734553074804802362401618196263954906979517832626176 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 x y)) x) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (.f64 #s(approx (- 1 ( x y)) (.f64 x (neg.f64 y))) x) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x) #s(literal 200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) (.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (.f64 #s(approx (- 1 ( x y)) (*.f64 x (neg.f64 y))) x)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 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 200000000000000000053219729416734553074804802362401618196263954906979517832626176 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 x y)) x) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) #s(approx (* x (- 1 (* x y))) (.f64 (.f64 (neg.f64 x) x) y)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x) #s(literal 200000000000000000053219729416734553074804802362401618196263954906979517832626176 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)

soundness603.0ms (9.7%)

Memory

28.2MiB live, 334.7MiB 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
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
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 150 to 67 computations (55.3% saved)

preprocess103.0ms (1.7%)

Memory: -24.8MiB live, 147.3MiB allocated
Compiler: Compiled 216 to 66 computations (69.4% 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 (21.5%)

explain73.0ms (1.2%)

preprocess37.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify52.0ms (0.8%)

localize16.0ms (0.3%)

series7.0ms (0.1%)

simplify151.0ms (2.4%)

rewrite263.0ms (4.2%)

eval90.0ms (1.4%)

prune89.0ms (1.4%)

simplify180.0ms (2.9%)

localize86.0ms (1.4%)

series38.0ms (0.6%)

simplify134.0ms (2.2%)

rewrite204.0ms (3.3%)

eval238.0ms (3.8%)

prune103.0ms (1.7%)

simplify145.0ms (2.3%)

localize131.0ms (2.1%)

series37.0ms (0.6%)

simplify227.0ms (3.7%)

rewrite249.0ms (4%)

eval333.0ms (5.4%)

prune122.0ms (2%)

simplify146.0ms (2.4%)

localize140.0ms (2.3%)

series32.0ms (0.5%)

simplify178.0ms (2.9%)

rewrite166.0ms (2.7%)

eval290.0ms (4.7%)

prune50.0ms (0.8%)

regimes31.0ms (0.5%)

regimes21.0ms (0.3%)

regimes8.0ms (0.1%)

regimes33.0ms (0.5%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify63.0ms (1%)

soundness603.0ms (9.7%)

preprocess103.0ms (1.7%)

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