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

start0.0ms (0%)

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

analyze28.0ms (2.4%)

Memory

-15.7MiB live, 31.2MiB allocated; 9ms 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)

sample537.0ms (47.1%)

Memory

40.5MiB live, 896.1MiB allocated; 46ms collecting garbage

Samples

327.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-add: 70.0ms (51.5% of total)

ival-div: 61.0ms (44.9% of total)

ival-assert: 3.0ms (2.2% of total)

adjust: 2.0ms (1.5% of total)

Bogosity

explain55.0ms (4.9%)

Memory

-24.8MiB live, 114.6MiB allocated; 16ms 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

30.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 11.0ms (75.5% of total)

ival-add: 3.0ms (20.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess14.0ms (1.2%)

Memory

26.1MiB live, 26.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	26	34
2	33	34
3	39	34
4	48	34
5	56	34
6	56	34
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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

series6.0ms (0.6%)

Memory

-39.2MiB live, 8.4MiB allocated; 3ms collecting garbage

Counts

4 → 27

Calls

Call 1

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

Outputs
#s(approx (/ x (+ x y)) #s(hole binary64 (/ x y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (/ x (+ x y)) #s(hole binary64 1))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

rewrite161.0ms (14.1%)

Memory

45.3MiB live, 236.2MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	503
0	155	462
1	945	438
0	8611	432

Stop Event

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

Counts

31 → 44

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
x
(+.f64 x y)
y
#s(approx (/ x (+ x y)) #s(hole binary64 (/ x y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (/ x (+ x y)) #s(hole binary64 1))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

eval6.0ms (0.5%)

Memory: -36.7MiB live, 10.5MiB allocated; 1ms collecting garbage
Compiler: Compiled 637 to 178 computations (72.1% saved)

prune9.0ms (0.8%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Accuracy

100.0%

Counts

46 → 2

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)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series5.0ms (0.4%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

6 → 35

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

Outputs
#s(approx (/ x (+ x y)) #s(hole binary64 (/ x y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 y))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (+ x y)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (/ x (+ x y)) #s(hole binary64 1))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 x))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

rewrite146.0ms (12.8%)

Memory

4.1MiB live, 194.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	623
0	169	576
1	976	552
0	8747	546

Stop Event

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

Counts

41 → 74

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(hole binary64 (/ x y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 y))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (+ x y)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (/ x (+ x y)) #s(hole binary64 1))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 x))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

eval12.0ms (1%)

Memory: -34.9MiB live, 18.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 399 to 315 computations (77.5% saved)

prune77.0ms (6.8%)

Memory

29.3MiB live, 124.3MiB allocated; 2ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	78	2	80

Accuracy

100.0%

Counts

80 → 2

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)))

Compiler

Compiled 34 to 20 computations (41.2% saved)

regimes7.0ms (0.6%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
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)

regimes6.0ms (0.5%)

Memory

-37.0MiB live, 10.6MiB allocated; 1ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`(/.f64 x (+.f64 x y))`
99.2%	1	`x`
99.2%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify17.0ms (1.5%)

Memory

28.4MiB live, 28.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	10	17

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations31.0ms (2.7%)

Memory

-38.0MiB live, 10.5MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 9 computations (47.1% saved)

preprocess22.0ms (1.9%)

Memory: 39.0MiB live, 39.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 44 to 26 computations (40.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze28.0ms (2.4%)

sample537.0ms (47.1%)

explain55.0ms (4.9%)

preprocess14.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.6%)

rewrite161.0ms (14.1%)

eval6.0ms (0.5%)

prune9.0ms (0.8%)

series5.0ms (0.4%)

rewrite146.0ms (12.8%)

eval12.0ms (1%)

prune77.0ms (6.8%)

regimes7.0ms (0.6%)

regimes6.0ms (0.5%)

simplify17.0ms (1.5%)

derivations31.0ms (2.7%)

preprocess22.0ms (1.9%)

end0.0ms (0%)

Profiling