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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze31.0ms (1.3%)

Memory

8.7MiB live, 46.5MiB 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)

sample645.0ms (26.2%)

Memory

27.9MiB live, 1 050.5MiB allocated

Samples

419.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-div: 62.0ms (47.7% of total)

ival-add: 58.0ms (44.6% of total)

ival-true: 6.0ms (4.6% of total)

ival-assert: 3.0ms (2.3% of total)

Bogosity

explain44.0ms (1.8%)

Memory

20.9MiB live, 98.2MiB 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

21.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-div: 6.0ms (62.1% of total)

ival-add: 3.0ms (31.1% of total)

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

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

preprocess31.0ms (1.3%)

Memory

-28.3MiB live, 51.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	35	25
2	72	25
3	149	25
4	334	25
5	515	25
6	639	25
7	659	25
8	686	25
9	698	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

1.2MiB live, 1.2MiB 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

5.7MiB live, 5.7MiB 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

localize15.0ms (0.6%)

Memory

-6.1MiB live, 32.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x y)
accuracy	0.01171875	(/.f64 x (+.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-add: 3.0ms (57% of total)

ival-div: 2.0ms (38% of total)

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

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

series3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

2 → 25

Calls

Call 1

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

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

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	x	@	-inf	((/ x (+ x y)) (+ x y))
0.0ms	x	@	0	((/ x (+ x y)) (+ x y))
0.0ms	y	@	-inf	((/ x (+ x y)) (+ x y))

simplify205.0ms (8.3%)

Memory

-1.5MiB live, 186.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	306
1	369	287
2	946	257
3	3744	255
0	8369	242

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 23

Calls

Call 1

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

Outputs
(/ 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 y x)
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 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)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.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 (* -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 (+ 1 (/ x y)))
(+.f64 y x)
(* -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)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite203.0ms (8.2%)

Memory

-1.8MiB live, 229.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	28	8
2	189	8
3	1849	8
0	8717	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
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(.f64 (/.f64 x (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (neg.f64 x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y)))
(.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (pow.f64 (-.f64 (.f64 x x) (*.f64 (-.f64 y x) y)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)))
(.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(.f64 (.f64 x (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))))
(.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))))
(.f64 (.f64 x (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (.f64 (-.f64 x y) x) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 x y))
(.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x)))
(.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) x))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 x y) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (neg.f64 x) y)))
(*.f64 (-.f64 x y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x)))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(*.f64 (/.f64 x (+.f64 y x)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64))
(*.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 y x) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 #s(literal 0 binary64) (+.f64 y x)) (fma.f64 (/.f64 x (-.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)) (*.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 x (-.f64 (neg.f64 x) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (-.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)) (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (neg.f64 x) y))))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 (/.f64 (/.f64 (.f64 x x) (neg.f64 (-.f64 x y))) #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 y y) (neg.f64 (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 (/.f64 (/.f64 (.f64 y y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x x) (-.f64 y x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (neg.f64 y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y))
(-.f64 x (/.f64 y #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) x)
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x y)

eval31.0ms (1.2%)

Memory: 5.8MiB live, 44.8MiB allocated
Compiler: Compiled 8 043 to 1 060 computations (86.8% saved)

prune8.0ms (0.3%)

Memory

-20.7MiB live, 17.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	322	5	327
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	322	6	328

Accuracy

100.0%

Counts

328 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(/.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) (+.f64 y x)))
✓	100.0%	(/.f64 x (+.f64 x y))
▶	49.6%	#s(approx (/ x (+ x y)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
▶	52.1%	#s(approx (/ x (+ x y)) (/.f64 x y))
▶	49.0%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶	49.7%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 117 to 78 computations (33.3% saved)

simplify145.0ms (5.9%)

Memory

-2.5MiB live, 111.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 y x))
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ x (+ x y)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
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	(/.f64 x y)
cost-diff	0	#s(approx (/ x (+ x y)) (/.f64 x y))
cost-diff	0	#s(approx (/ x (+ x y)) #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 x y) (+.f64 y x))
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 (-.f64 x y) x)
cost-diff	8	(/.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) (+.f64 y x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	115
0	31	115
1	62	109
2	134	107
3	247	107
4	808	107
5	4578	107
0	8176	107

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (2.1%)

Memory

9.0MiB live, 47.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(+.f64 #s(literal -1 binary64) (/.f64 y x))
accuracy	0.12728500976844204	(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
accuracy	32.275242596216366	#s(approx (/ x (+ x y)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	32.65170902404507	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy	0.0	(/.f64 x y)
accuracy	30.66807895431274	#s(approx (/ x (+ x y)) (/.f64 x y))
accuracy	32.219360834129404	#s(approx (/ x (+ x y)) #s(literal 1 binary64))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (-.f64 x y) (+.f64 y x))
accuracy	0.00390625	(*.f64 (-.f64 x y) x)
accuracy	26.149808134851998	(/.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) (+.f64 y x)))

Samples

41.0ms

256×

valid

Compiler

Compiled 95 to 19 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 16.0ms (54.3% of total)

ival-div: 6.0ms (20.4% of total)

ival-mult: 4.0ms (13.6% of total)

ival-sub: 3.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.5%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

14 → 69

Calls

Call 1

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

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

Calls

6 calls:

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

simplify155.0ms (6.3%)

Memory

5.9MiB live, 160.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	649
1	665	588
2	1856	536
0	8476	517

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 67

Calls

Call 1

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

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

rewrite300.0ms (12.2%)

Memory

-10.5MiB live, 237.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	100
0	31	100
1	141	92
2	1250	92
0	8148	92

Stop Event

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

Counts

14 → 740

Calls

Call 1

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

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

eval128.0ms (5.2%)

Memory: -4.9MiB live, 151.6MiB allocated
Compiler: Compiled 24 461 to 2 831 computations (88.4% saved)

prune17.0ms (0.7%)

Memory

13.5MiB live, 50.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	893	0	893
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	893	6	899

Accuracy

100.0%

Counts

899 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.2%	(/.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) (+.f64 y x)))
✓	100.0%	(/.f64 x (+.f64 x y))
✓	49.6%	#s(approx (/ x (+ x y)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
✓	52.1%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	49.0%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	49.7%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 122 to 63 computations (48.4% saved)

regimes9.0ms (0.4%)

Memory

-21.4MiB live, 16.6MiB 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 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) (+.f64 y x)))
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))

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

Calls

3 calls:

4.0ms	x
2.0ms	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)

regimes5.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB 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
81.2%	3	`x`
78.5%	3	`y`
98.7%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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
98.3%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB 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	x
1.0ms	y
1.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
49.7%	1	`y`
49.7%	1	`x`
49.7%	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	0.0004104267888063539	0.9999974488911354

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	0.0004104267888063539	0.9999974488911354

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify98.0ms (4%)

Memory

-23.6MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	22	64
2	30	64
3	39	64
4	47	64
5	55	64
6	61	64
7	80	64
8	186	64
9	3519	64
10	7729	64

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 1152921504606847/2305843009213693952 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 1152921504606847/2305843009213693952 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))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 1152921504606847/2305843009213693952 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 1152921504606847/2305843009213693952 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))

soundness295.0ms (12%)

Memory

-1.9MiB live, 199.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	306
1	369	287
2	946	257
3	3744	255
0	8369	242

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 77 to 34 computations (55.8% saved)

preprocess23.0ms (0.9%)

Memory: 6.1MiB live, 42.1MiB allocated
Compiler: Compiled 138 to 42 computations (69.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	35
1	35	25
2	72	25
3	149	25
4	334	25
5	515	25
6	639	25
7	659	25
8	686	25
9	698	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	149	25
4	334	25
5	515	25
6	639	25
7	659	25
8	686	25
9	698	25
0	4	5
0	6	5
1	7	5
0	7	5

start0.0ms (0%)

analyze31.0ms (1.3%)

sample645.0ms (26.2%)

explain44.0ms (1.8%)

preprocess31.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize15.0ms (0.6%)

series3.0ms (0.1%)

simplify205.0ms (8.3%)

rewrite203.0ms (8.2%)

eval31.0ms (1.2%)

prune8.0ms (0.3%)

simplify145.0ms (5.9%)

localize52.0ms (2.1%)

series12.0ms (0.5%)

simplify155.0ms (6.3%)

rewrite300.0ms (12.2%)

eval128.0ms (5.2%)

prune17.0ms (0.7%)

regimes9.0ms (0.4%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify98.0ms (4%)

soundness295.0ms (12%)

preprocess23.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	35
1	35	25
2	72	25
3	149	25
4	334	25
5	515	25
6	639	25
7	659	25
8	686	25
9	698	25
0	4	5
0	6	5
1	7	5
0	7	5