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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze60.0ms (2.6%)

Memory

-8.1MiB live, 52.7MiB allocated; 21ms collecting garbage

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)

sample925.0ms (40%)

Memory

-48.2MiB live, 920.0MiB allocated; 207ms collecting garbage

Samples

685.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-div: 206.0ms (76.7% of total)

ival-add: 51.0ms (19% of total)

ival-true: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain40.0ms (1.7%)

Memory

34.2MiB live, 34.2MiB allocated; 0ms collecting garbage

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: 3.0ms (43.1% of total)

ival-add: 3.0ms (43.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess15.0ms (0.6%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	24	29
2	31	29
3	35	29
4	41	29
5	47	29
6	47	29
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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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)

simplify10.0ms (0.4%)

Memory

-38.6MiB live, 8.4MiB allocated; 2ms collecting garbage

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

localize13.0ms (0.6%)

Memory

27.3MiB live, 27.3MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x y)
accuracy	0.015625	(/.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 (58.2% of total)

ival-add: 1.0ms (29.1% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

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

simplify217.0ms (9.4%)

Memory

-44.3MiB live, 199.1MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	317
1	374	295
2	1084	275
3	4323	275
0	8339	259

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

rewrite78.0ms (3.4%)

Memory

9.9MiB live, 54.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	23	8
2	144	8
0	1406	8

Stop Event

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

Counts

2 → 83

Calls

Call 1

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

Outputs
(.f64 (/.f64 x (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 x (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(.f64 (/.f64 x (neg.f64 (+.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 (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 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 (-.f64 x y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))
(.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 (.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)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(/.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)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(/.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)))) (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 x (fma.f64 (-.f64 y x) y (.f64 x x))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 (.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 (+.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 (+.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 x (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y x)))
(/.f64 x (+.f64 y x))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y x)))
(fma.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 y x) y) (.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
(fma.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)))
(fma.f64 (.f64 (-.f64 y x) y) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (.f64 x x) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 (-.f64 y x) y) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (-.f64 y x) y) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 x x) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 x x) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 y x) y) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 y x) y)) (.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)) (.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (+.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)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (+.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)))) (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 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (-.f64 x y)))) (.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (-.f64 x y))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.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 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.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 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.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 x y) (+.f64 y x)) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (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)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (/.f64 (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)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.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 (neg.f64 (neg.f64 y)) x)
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (/.f64 (.f64 (neg.f64 y) y) (-.f64 x y)))
(+.f64 y x)
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x y)

eval10.0ms (0.4%)

Memory: 13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 342 to 343 computations (85.4% saved)

prune4.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	6	99

Accuracy

100.0%

Counts

99 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
▶	99.2%	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
▶	87.1%	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
▶	47.8%	#s(approx (/ x (+ x y)) (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) x x) y))
▶	48.6%	#s(approx (/ x (+ x y)) (/.f64 x y))
▶	53.2%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 115 to 74 computations (35.7% saved)

simplify159.0ms (6.9%)

Memory

11.6MiB live, 152.9MiB allocated; 37ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	0	(fma.f64 (/.f64 (neg.f64 x) y) x x)
cost-diff	0	(/.f64 (fma.f64 (/.f64 (neg.f64 x) y) x x) y)
cost-diff	0	#s(approx (/ x (+ x y)) (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) x x) y))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
cost-diff	0	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
cost-diff	3	(fma.f64 (/.f64 x y) y y)
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 y x)
cost-diff	0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
cost-diff	0	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
cost-diff	3	(fma.f64 (/.f64 y x) x x)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	127
0	33	127
1	57	127
2	105	121
3	231	109
4	606	109
5	4297	109
0	8062	109

Stop Event

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

Calls

Call 1

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

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

localize43.0ms (1.8%)

Memory

-5.5MiB live, 41.4MiB allocated; 1ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.0859375	(fma.f64 (/.f64 (neg.f64 x) y) x x)
accuracy	1.7093211684581515	(/.f64 (fma.f64 (/.f64 (neg.f64 x) y) x x) y)
accuracy	33.42867601718416	#s(approx (/ x (+ x y)) (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) x x) y))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
accuracy	0.015625	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
accuracy	8.011670540025992	(fma.f64 (/.f64 x y) y y)
accuracy	0.0	(/.f64 x y)
accuracy	32.873032676076356	#s(approx (/ x (+ x y)) (/.f64 x y))
accuracy	29.95211003886716	#s(approx (/ x (+ x y)) #s(literal 1 binary64))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
accuracy	0.015625	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
accuracy	8.312610535132197	(fma.f64 (/.f64 y x) x x)

Samples

31.0ms

256×

valid

Compiler

Compiled 89 to 18 computations (79.8% saved)

Precisions

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

ival-div: 8.0ms (42.3% of total)

ival-add: 5.0ms (26.4% of total)

ival-mult: 4.0ms (21.1% of total)

ival-neg: 1.0ms (5.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series12.0ms (0.5%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

15 → 36

Calls

Call 1

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

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

Calls

6 calls:

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

simplify235.0ms (10.2%)

Memory

-32.7MiB live, 215.6MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	394
1	415	366
2	1183	346
3	4781	345
0	8423	331

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

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

rewrite172.0ms (7.4%)

Memory

30.2MiB live, 160.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	115
0	33	115
1	113	115
2	716	109
0	8415	103

Stop Event

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

Counts

15 → 539

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 y (fma.f64 #s(literal 1 binary64) x y))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y (.f64 #s(literal 1 binary64) x)) y) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (-.f64 y (.f64 #s(literal 1 binary64) x)) y)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y (.f64 #s(literal 1 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y (.f64 #s(literal 1 binary64) x)) y) (-.f64 (.f64 (-.f64 y (.f64 #s(literal 1 binary64) x)) y) (.f64 (.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 (.f64 x x) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) y (.f64 (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 #s(literal 1 binary64) x y))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y y) #s(literal 1 binary64))) (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 y y) #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1 binary64) x y))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 #s(literal 1 binary64) y)) x) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 (-.f64 x (.f64 #s(literal 1 binary64) y)) x)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 #s(literal 1 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 #s(literal 1 binary64) y)) x) (-.f64 (.f64 (-.f64 x (.f64 #s(literal 1 binary64) y)) x) (.f64 (.f64 y y) #s(literal 1 binary64))) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y y) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x (.f64 (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 #s(literal 1 binary64) x y))
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(.f64 (.f64 x (fma.f64 y (/.f64 y x) (-.f64 x (.f64 #s(literal 1 binary64) y)))) (/.f64 (fma.f64 #s(literal 1 binary64) x y) (.f64 x (fma.f64 y (/.f64 y x) (-.f64 x (*.f64 #s(literal 1 binary64) y))))))
(.f64 (.f64 y (fma.f64 (/.f64 x y) x (-.f64 y (.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal 1 binary64) x y) (.f64 y (fma.f64 (/.f64 x y) x (-.f64 y (*.f64 #s(literal 1 binary64) x))))))
(.f64 (fma.f64 #s(literal 1 binary64) x y) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)))
(.f64 (fma.f64 #s(literal 1 binary64) x y) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) x) (-.f64 (*.f64 #s(literal 1 binary64) y) x)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) y) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) x) y)) (/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) x) y))) (.f64 (.f64 y (/.f64 y (-.f64 (.f64 #s(literal 1 binary64) x) y))) (.f64 y (/.f64 y (-.f64 (.f64 #s(literal 1 binary64) x) y))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) x) y)) (.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 1 binary64) x) y)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) y) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) y) x))) (.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1 binary64) y) x))) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1 binary64) y) x))))) (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1 binary64) y) x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 y (fma.f64 (/.f64 x y) x (-.f64 y (.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 y (fma.f64 (/.f64 x y) x (-.f64 y (.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (/.f64 x y) x (-.f64 y (.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (/.f64 x y) x (-.f64 y (.f64 #s(literal 1 binary64) x))))))) (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 y (fma.f64 (/.f64 x y) x (-.f64 y (.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (/.f64 x y) x (-.f64 y (*.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x (fma.f64 y (/.f64 y x) (-.f64 x (.f64 #s(literal 1 binary64) y))))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x (fma.f64 y (/.f64 y x) (-.f64 x (.f64 #s(literal 1 binary64) y)))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 y (/.f64 y x) (-.f64 x (.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 y (/.f64 y x) (-.f64 x (.f64 #s(literal 1 binary64) y))))))) (-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x (fma.f64 y (/.f64 y x) (-.f64 x (.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 y (/.f64 y x) (-.f64 x (*.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 (.f64 #s(literal 1 binary64) x) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) x) y)) (/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) x) y)) (fma.f64 (.f64 y (/.f64 y (-.f64 (.f64 #s(literal 1 binary64) x) y))) (.f64 y (/.f64 y (-.f64 (.f64 #s(literal 1 binary64) x) y))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) x) y)) (.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 1 binary64) x) y)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (.f64 y (fma.f64 (/.f64 x y) x (-.f64 y (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1 binary64) y) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) y) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) y) x)) (fma.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1 binary64) y) x))) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1 binary64) y) x))) (.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1 binary64) y) x)))))))
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(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y)) (-.f64 (.f64 (/.f64 (neg.f64 x) y) x) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) x) x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (neg.f64 x) y) x x)
(fma.f64 (neg.f64 x) (/.f64 y (neg.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) x))
(fma.f64 (neg.f64 x) (/.f64 x y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) (/.f64 x y) x)
(fma.f64 (/.f64 x y) (neg.f64 x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x y) (neg.f64 x) x)
(fma.f64 (/.f64 x y) y (*.f64 (/.f64 (neg.f64 x) y) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (neg.f64 x) y) x))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) y))) (/.f64 (pow.f64 (.f64 (/.f64 (neg.f64 x) y) x) #s(literal 3 binary64)) (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) y))))
(fma.f64 x (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (-.f64 (.f64 (/.f64 (neg.f64 x) y) x) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (/.f64 (neg.f64 x) y) x) x)))
(fma.f64 x (/.f64 (neg.f64 x) y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (/.f64 (neg.f64 x) y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) y) x))
(fma.f64 y (/.f64 x y) (*.f64 (/.f64 (neg.f64 x) y) x))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (/.f64 x y) x))) (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (+.f64 x (.f64 (/.f64 x y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 (-.f64 (.f64 (/.f64 (neg.f64 x) y) x) x) y)) (.f64 x (/.f64 x (-.f64 (.f64 (/.f64 (neg.f64 x) y) x) x))))
(-.f64 x (*.f64 (/.f64 x y) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) x) #s(literal 3 binary64)) (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) y))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) x) #s(literal 3 binary64)) (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) y))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 (-.f64 (.f64 (/.f64 (neg.f64 x) y) x) x) y)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (/.f64 (neg.f64 x) y) x) x)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (neg.f64 x) y) x))
(+.f64 (.f64 (/.f64 (neg.f64 x) y) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) x) x)
(+.f64 x (*.f64 (/.f64 (neg.f64 x) y) x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal -1 binary64)) y)
(/.f64 (*.f64 #s(literal 1 binary64) x) (neg.f64 y))
(/.f64 (neg.f64 x) y)
(/.f64 x (neg.f64 y))
(neg.f64 (/.f64 x y))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y) (*.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)))
(+.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)))
(+.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)))
(neg.f64 x)

eval63.0ms (2.7%)

Memory: -6.5MiB live, 53.9MiB allocated; 34ms collecting garbage
Compiler: Compiled 12 779 to 1 719 computations (86.5% saved)

prune34.0ms (1.5%)

Memory

-28.5MiB live, 19.5MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	415	0	415
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	415	6	421

Accuracy

100.0%

Counts

421 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	99.2%	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
✓	87.1%	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
✓	47.8%	#s(approx (/ x (+ x y)) (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) x x) y))
✓	48.6%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	53.2%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 120 to 61 computations (49.2% saved)

regimes7.0ms (0.3%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes4.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

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

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	2	`(/.f64 x (+.f64 x y))`
78.3%	3	`x`
78.4%	3	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

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
53.2%	1	`x`
53.2%	1	`y`
53.2%	1	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0023382880004019905	0.9999999999490407

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify55.0ms (2.4%)

Memory

-11.7MiB live, 34.0MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	16	36
2	19	36
3	27	36
4	50	36
5	223	36
6	2146	36
7	5331	36

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 1152921504606847/288230376151711744 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 1152921504606847/288230376151711744 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))

derivations105.0ms (4.5%)

Memory

44.2MiB live, 87.3MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 36 to 13 computations (63.9% saved)

preprocess48.0ms (2.1%)

Memory: -37.2MiB live, 15.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 82 to 34 computations (58.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze60.0ms (2.6%)

sample925.0ms (40%)

explain40.0ms (1.7%)

preprocess15.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify10.0ms (0.4%)

localize13.0ms (0.6%)

series3.0ms (0.1%)

simplify217.0ms (9.4%)

rewrite78.0ms (3.4%)

eval10.0ms (0.4%)

prune4.0ms (0.2%)

simplify159.0ms (6.9%)

localize43.0ms (1.8%)

series12.0ms (0.5%)

simplify235.0ms (10.2%)

rewrite172.0ms (7.4%)

eval63.0ms (2.7%)

prune34.0ms (1.5%)

regimes7.0ms (0.3%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

simplify55.0ms (2.4%)

derivations105.0ms (4.5%)

preprocess48.0ms (2.1%)

end0.0ms (0%)

Profiling