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

start0.0ms (0%)

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

analyze20.0ms (1.5%)

Memory

-5.8MiB live, 40.5MiB allocated; 6ms 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)

sample587.0ms (45.7%)

Memory

26.0MiB live, 1 120.7MiB allocated; 171ms collecting garbage

Samples

325.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div!: 52.0ms (62.5% of total)

ival-add!: 30.0ms (36.1% of total)

adjust: 2.0ms (2.4% of total)

Bogosity

explain52.0ms (4.1%)

Memory

26.7MiB live, 112.4MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

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

16.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-div!: 3.0ms (61.4% of total)

ival-add!: 2.0ms (41% of total)

adjust: 0.0ms (0% of total)

preprocess23.0ms (1.8%)

Memory

-40.4MiB live, 13.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (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

Stop Event

1×

saturated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 8 computations (20% saved)

series4.0ms (0.3%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

4 → 27

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite193.0ms (15%)

Memory

28.7MiB live, 216.4MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	503
0	156	462
1	953	438
0	8677	432

Stop Event

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

Counts

31 → 48

Calls

Call 1

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

eval11.0ms (0.8%)

Memory: -38.8MiB live, 11.7MiB allocated; 11ms collecting garbage
Compiler: Compiled 714 to 194 computations (72.8% saved)

prune2.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Accuracy

100.0%

Counts

50 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 y x))
▶	47.1%	(/.f64 x #s(approx (+ y x) y))
▶	54.1%	#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶	54.5%	#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Compiler

Compiled 30 to 23 computations (23.3% saved)

series5.0ms (0.4%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

9 → 34

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((/ x (+ y x)) 1 (/ x (+ y x)) (- 1 (/ y x)) (/ y x) y x (/ x (+ y x)) (+ y x))
1.0ms	y	@	inf	((/ x (+ y x)) 1 (/ x (+ y x)) (- 1 (/ y x)) (/ y x) y x (/ x (+ y x)) (+ y x))
1.0ms	y	@	0	((/ x (+ y x)) 1 (/ x (+ y x)) (- 1 (/ y x)) (/ y x) y x (/ x (+ y x)) (+ y x))
1.0ms	x	@	-inf	((/ x (+ y x)) 1 (/ x (+ y x)) (- 1 (/ y x)) (/ y x) y x (/ x (+ y x)) (+ y x))
1.0ms	x	@	inf	((/ x (+ y x)) 1 (/ x (+ y x)) (- 1 (/ y x)) (/ y x) y x (/ x (+ y x)) (+ y x))

rewrite204.0ms (15.9%)

Memory

35.2MiB live, 284.3MiB allocated; 91ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	615
0	176	569
1	1015	546
0	8782	540

Stop Event

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

Counts

43 → 87

Calls

Call 1

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

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

eval50.0ms (3.9%)

Memory: -34.7MiB live, 30.6MiB allocated; 48ms collecting garbage
Compiler: Compiled 1 344 to 295 computations (78.1% saved)

prune3.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	87	4	91

Accuracy

100.0%

Counts

91 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 y x))
✓	47.1%	(/.f64 x #s(approx (+ y x) y))
✓	54.1%	#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	54.5%	#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Compiler

Compiled 60 to 36 computations (40% saved)

regimes5.0ms (0.4%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.4%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	2	`(/.f64 x (+.f64 y x))`
78.9%	3	`x`
83.8%	3	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes1.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 x (+.f64 y x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.5%	1	`x`
54.5%	1	`y`
54.5%	1	`(/.f64 x (+.f64 y x))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch7.0ms (0.5%)

Memory

-48.7MiB live, 0.5MiB allocated; 9ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
6.0ms	8.332559634365063e-9	0.9998205905236379

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.332559634365063e-9	0.9998205905236379

Compiler

Compiled 8 to 9 computations (-12.5% saved)

derivations92.0ms (7.1%)

Memory

32.7MiB live, 78.5MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 60 to 17 computations (71.7% saved)

preprocess18.0ms (1.4%)

Memory: -9.6MiB live, 36.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 130 to 42 computations (67.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze20.0ms (1.5%)

sample587.0ms (45.7%)

explain52.0ms (4.1%)

preprocess23.0ms (1.8%)

series4.0ms (0.3%)

rewrite193.0ms (15%)

eval11.0ms (0.8%)

prune2.0ms (0.2%)

series5.0ms (0.4%)

rewrite204.0ms (15.9%)

eval50.0ms (3.9%)

prune3.0ms (0.2%)

regimes5.0ms (0.4%)

regimes5.0ms (0.4%)

regimes1.0ms (0.1%)

regimes3.0ms (0.2%)

bsearch7.0ms (0.5%)

bsearch0.0ms (0%)

derivations92.0ms (7.1%)

preprocess18.0ms (1.4%)

end0.0ms (0%)

Profiling