Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.6%)

Memory

-4.2MiB live, 34.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample647.0ms (22.6%)

Memory

15.7MiB live, 751.7MiB allocated

Samples

402.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-div: 78.0ms (50.3% of total)

ival-add: 68.0ms (43.9% of total)

ival-true: 6.0ms (3.9% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain48.0ms (1.7%)

Memory

-6.0MiB live, 79.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(/.f64 x (+.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

18.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (55.4% of total)

ival-add: 3.0ms (41.6% of total)

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

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

preprocess27.0ms (0.9%)

Memory

4.7MiB live, 40.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	35	25
2	72	25
3	145	25
4	324	25
5	504	25
6	628	25
7	648	25
8	675	25
9	687	25
0	4	5
0	6	5
1	7	5
0	7	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))

Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (+.f64 x y))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 x (+.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	7	10
0	7	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
x
(+.f64 x y)
y

Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
x
(+.f64 x y)
(+.f64 y x)
y

localize16.0ms (0.6%)

Memory

-10.5MiB live, 25.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.0078125	(/.f64 x (+.f64 x y))

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 2.0ms (58.7% of total)

ival-add: 1.0ms (29.3% of total)

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

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

series4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

2 → 48

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 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 (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 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 (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (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 (+ x y)) (+ x y))
1.0ms	y	@	inf	((/ x (+ x y)) (+ x y))
0.0ms	y	@	-inf	((/ x (+ x y)) (+ x y))
0.0ms	x	@	-inf	((/ x (+ x y)) (+ x y))
0.0ms	y	@	0	((/ x (+ x y)) (+ x y))

simplify140.0ms (4.9%)

Memory

-18.2MiB live, 153.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	360
1	369	342
2	945	318
3	3728	316
0	8239	303

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 42

Calls

Call 1

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

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

rewrite272.0ms (9.5%)

Memory

27.9MiB live, 269.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	28	8
2	189	8
3	1838	8
0	8647	8

Stop Event

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

Counts

2 → 316

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(+.f64 x y)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval38.0ms (1.3%)

Memory: -5.7MiB live, 70.9MiB allocated
Compiler: Compiled 8 228 to 1 058 computations (87.1% saved)

prune25.0ms (0.9%)

Memory

-22.6MiB live, 16.9MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	354	4	358
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	354	5	359

Accuracy

100.0%

Counts

359 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))))
✓	100.0%	(/.f64 x (+.f64 x y))
▶	50.9%	#s(approx (/ x (+ x y)) (/.f64 x y))
▶	49.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶	49.6%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 34 to 27 computations (20.6% saved)

simplify145.0ms (5.1%)

Memory

19.9MiB live, 97.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (-.f64 x y))
cost-diff	0	(/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))))
cost-diff	128	(neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))
cost-diff	2304	(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ x (+ x y)) (/.f64 x y))
cost-diff	0	(/.f64 y x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff	0	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
cost-diff	0	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	18	106
0	29	106
1	50	106
2	81	106
3	127	103
4	215	103
5	499	103
6	976	101
7	1395	97
8	1994	97
9	2868	81
10	4016	81
11	5394	81
12	6645	81
13	7210	81
14	7750	81
0	8258	81

Stop Event

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

Calls

Call 1

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

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

localize43.0ms (1.5%)

Memory

8.5MiB live, 46.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
accuracy	0.01171875	(/.f64 y (-.f64 x y))
accuracy	0.01953125	(/.f64 x (-.f64 x y))
accuracy	0.0625	(*.f64 y (/.f64 y (-.f64 x y)))
accuracy	0	(/.f64 x y)
accuracy	31.399114748129236	#s(approx (/ x (+ x y)) (/.f64 x y))
accuracy	0	(/.f64 y x)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	32.54028736434742	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy	32.24812568288725	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Samples

31.0ms

256×

valid

Compiler

Compiled 98 to 18 computations (81.6% saved)

Precisions

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

ival-div: 10.0ms (51.3% of total)

ival-add: 3.0ms (15.4% of total)

ival-mult: 3.0ms (15.4% of total)

ival-sub: 2.0ms (10.3% of total)

ival-neg: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.9%)

Memory

-11.1MiB live, 27.0MiB allocated

Counts

12 → 288

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (/.f64 x y)) (patch #s(approx (/ x (+ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (/.f64 x y)) (patch #s(approx (/ x (+ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (/.f64 x y)) (patch #s(approx (/ x (+ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (/.f64 x y)) (patch #s(approx (/ x (+ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor 0 y) (#s(alt (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) (patch (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ y (pow x 2))) (/ 1 x))) (taylor 0 y) (#s(alt (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) (patch (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) (taylor 0 y) (#s(alt (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) (patch (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) (taylor 0 y) (#s(alt (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) (patch (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) (patch (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) (patch (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) (patch (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x) (taylor inf x) (#s(alt (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) (patch (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (pow y 3) x)) (* -1 (/ (pow y 4) (pow x 2)))) (pow y 2)) x) (taylor inf x) (#s(alt (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) (patch (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (pow y 3) x)) (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (/ (pow y 5) (pow x 3))))) (pow y 2)) x) (taylor inf x) (#s(alt (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) (patch (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) (patch (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) (patch (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2))) (pow x 2)))) (/ y x)) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) (patch (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2))))) (* y (+ (* -1 (pow y 2)) (pow y 2)))) (pow x 3)))) (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) (patch (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (.f64 y (/.f64 y (-.f64 x y))) (patch (.f64 y (/.f64 y (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (pow y 3) x) (pow y 2)) x) (taylor inf x) (#s(alt (.f64 y (/.f64 y (-.f64 x y))) (patch (.f64 y (/.f64 y (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ (pow y 4) (pow x 2)) (pow y 2)) (* -1 (/ (pow y 3) x))) x) (taylor inf x) (#s(alt (.f64 y (/.f64 y (-.f64 x y))) (patch (.f64 y (/.f64 y (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ (pow y 5) (pow x 3)) (pow y 2)) (+ (* -1 (/ (pow y 3) x)) (* -1 (/ (pow y 4) (pow x 2))))) x) (taylor inf x) (#s(alt (.f64 y (/.f64 y (-.f64 x y))) (patch (.f64 y (/.f64 y (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (/ (pow y 2) x)) x) (taylor inf x) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x) (taylor inf x) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x) (taylor inf x) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (/.f64 x y)) (patch #s(approx (/ x (+ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (/.f64 x y)) (patch #s(approx (/ x (+ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (/.f64 x y)) (patch #s(approx (/ x (+ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (/.f64 x y)) (patch #s(approx (/ x (+ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor -inf x) (#s(alt (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) (patch (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) (taylor -inf x) (#s(alt (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) (patch (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (* -1 (pow y 2))) x)) (taylor -inf x) (#s(alt (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) (patch (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (* -1 (pow y 4))) x)) (pow y 3)) x)) (* -1 (pow y 2))) x)) (taylor -inf x) (#s(alt (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) (patch (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) (patch (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) (patch (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) (patch (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) (patch (/.f64 x (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 y (/.f64 y (-.f64 x y))) (patch (.f64 y (/.f64 y (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (taylor -inf x) (#s(alt (.f64 y (/.f64 y (-.f64 x y))) (patch (.f64 y (/.f64 y (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x)) (taylor -inf x) (#s(alt (.f64 y (/.f64 y (-.f64 x y))) (patch (.f64 y (/.f64 y (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 5) x)) (* -1 (pow y 4))) x)) (pow y 3)) x)) (* -1 (pow y 2))) x)) (taylor -inf x) (#s(alt (.f64 y (/.f64 y (-.f64 x y))) (patch (.f64 y (/.f64 y (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify143.0ms (5%)

Memory

-16.2MiB live, 116.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	453	2886
1	1474	2692
2	4444	2521
0	8408	2408

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 279

Calls

Call 1

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

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

rewrite148.0ms (5.2%)

Memory

0.4MiB live, 155.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	95
0	29	95
1	120	71
2	909	71
0	8679	71

Stop Event

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

Counts

12 → 551

Calls

Call 1

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

Outputs
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eval124.0ms (4.3%)

Memory: 39.3MiB live, 156.3MiB allocated
Compiler: Compiled 17 110 to 2 267 computations (86.8% saved)

prune50.0ms (1.7%)

Memory

-30.8MiB live, 43.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	829	1	830
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	830	5	835

Accuracy

100.0%

Counts

835 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
▶	99.7%	(/.f64 x #s(approx (+ (* x (/ x (- x y))) (neg (* y (/ y (- x y))))) (fma.f64 (/.f64 y x) x x)))
✓	50.9%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	49.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	49.6%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 26 to 24 computations (7.7% saved)

simplify148.0ms (5.2%)

Memory

8.3MiB live, 123.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	#s(approx (+ (* x (/ x (- x y))) (neg (* y (/ y (- x y))))) (fma.f64 (/.f64 y x) x x))
cost-diff	0	(/.f64 x #s(approx (+ (* x (/ x (- x y))) (neg (* y (/ y (- x y))))) (fma.f64 (/.f64 y x) x x)))
cost-diff	896	(fma.f64 (/.f64 y x) x x)

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	13	59
0	17	57
1	41	57
2	73	54
3	119	48
4	195	48
5	636	48
6	2842	44
7	4873	44
8	6070	44
9	6313	44
10	6570	44
11	7196	44
0	8028	44

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 x #s(approx (+ (* x (/ x (- x y))) (neg (* y (/ y (- x y))))) (fma.f64 (/.f64 y x) x x)))
(/.f64 x #s(approx (+ (* x (/ x (- x y))) (neg (* y (/ y (- x y))))) (+.f64 y x)))
x
#s(approx (+ (* x (/ x (- x y))) (neg (* y (/ y (- x y))))) (fma.f64 (/.f64 y x) x x))
#s(approx (+ (* x (/ x (- x y))) (neg (* y (/ y (- x y))))) (+.f64 y x))
(fma.f64 (/.f64 y x) x x)
(+.f64 y x)
(/.f64 y x)
y

localize38.0ms (1.3%)

Memory

4.6MiB live, 42.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	#s(approx (+ (* x (/ x (- x y))) (neg (* y (/ y (- x y))))) (fma.f64 (/.f64 y x) x x))
accuracy	0.0078125	(/.f64 x #s(approx (+ (* x (/ x (- x y))) (neg (* y (/ y (- x y))))) (fma.f64 (/.f64 y x) x x)))
accuracy	8.436538015762475	(fma.f64 (/.f64 y x) x x)

Samples

31.0ms

256×

valid

Compiler

Compiled 48 to 15 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 14.0ms (59% of total)

ival-mult: 5.0ms (21.1% of total)

ival-sub: 2.0ms (8.4% of total)

ival-add: 2.0ms (8.4% of total)

ival-neg: 1.0ms (4.2% of total)

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

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

series7.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

6 calls:

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

simplify160.0ms (5.6%)

Memory

-8.5MiB live, 117.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	582
1	556	510
2	1742	450
3	6318	448
0	8198	440

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 84

Calls

Call 1

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

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

rewrite159.0ms (5.5%)

Memory

23.4MiB live, 175.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	17	55
1	96	31
2	756	22
0	9230	22

Stop Event

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

Counts

4 → 268

Calls

Call 1

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

Outputs
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eval48.0ms (1.7%)

Memory: -28.6MiB live, 92.9MiB allocated
Compiler: Compiled 7 534 to 1 229 computations (83.7% saved)

prune8.0ms (0.3%)

Memory

25.9MiB live, 25.9MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	352	0	352
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	352	5	357

Accuracy

100.0%

Counts

357 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	99.7%	(/.f64 x #s(approx (+ (* x (/ x (- x y))) (neg (* y (/ y (- x y))))) (fma.f64 (/.f64 y x) x x)))
✓	50.9%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	49.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	49.6%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes10.0ms (0.3%)

Memory

-19.8MiB live, 17.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 x (+.f64 x y))

Calls

3 calls:

4.0ms	x
3.0ms	y
2.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes6.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
80.0%	3	`x`
77.3%	3	`y`
97.9%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
97.1%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Outputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
49.6%	1	`y`
49.6%	1	`x`
49.6%	1	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.3749089326264831	0.9999663490027618

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.3749089326264831	0.9999663490027618

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify35.0ms (1.2%)

Memory

-22.7MiB live, 55.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	23	64
2	31	64
3	37	64
4	42	64
5	44	64

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 1/2 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 1/2 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

soundness294.0ms (10.3%)

Memory

15.1MiB live, 240.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	360
1	369	342
2	945	318
3	3728	316
0	8239	303

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 52 to 32 computations (38.5% saved)

preprocess30.0ms (1%)

Memory: 9.6MiB live, 88.0MiB allocated
Compiler: Compiled 88 to 38 computations (56.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	35
1	35	25
2	72	25
3	145	25
4	324	25
5	504	25
6	628	25
7	648	25
8	675	25
9	687	25
0	4	5
0	6	5
1	7	5
0	7	5

Iter	Nodes	Cost
0	12	35
1	35	25
2	72	25
3	145	25
4	324	25
5	504	25
6	628	25
7	648	25
8	675	25
9	687	25
0	4	5
0	6	5
1	7	5
0	7	5

start0.0ms (0%)

analyze17.0ms (0.6%)

sample647.0ms (22.6%)

explain48.0ms (1.7%)

preprocess27.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize16.0ms (0.6%)

series4.0ms (0.1%)

simplify140.0ms (4.9%)

rewrite272.0ms (9.5%)

eval38.0ms (1.3%)

prune25.0ms (0.9%)

simplify145.0ms (5.1%)

localize43.0ms (1.5%)

series26.0ms (0.9%)

simplify143.0ms (5%)

rewrite148.0ms (5.2%)

eval124.0ms (4.3%)

prune50.0ms (1.7%)

simplify148.0ms (5.2%)

localize38.0ms (1.3%)

series7.0ms (0.2%)

simplify160.0ms (5.6%)

rewrite159.0ms (5.5%)

eval48.0ms (1.7%)

prune8.0ms (0.3%)

regimes10.0ms (0.3%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify35.0ms (1.2%)

soundness294.0ms (10.3%)

preprocess30.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	35
1	35	25
2	72	25
3	145	25
4	324	25
5	504	25
6	628	25
7	648	25
8	675	25
9	687	25
0	4	5
0	6	5
1	7	5
0	7	5