Metrics for Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

start0.0ms (0%)

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

analyze10.0ms (1.1%)

Memory

22.6MiB live, 22.6MiB allocated; 0ms 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample532.0ms (57.4%)

Memory

1.3MiB live, 820.9MiB allocated; 125ms collecting garbage

Samples

342.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult!: 64.0ms (55.7% of total)

ival-div!: 50.0ms (43.5% of total)

adjust: 1.0ms (0.9% of total)

Bogosity

explain41.0ms (4.5%)

Memory

-26.7MiB live, 67.4MiB allocated; 4ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
42	-	2	(1.68670332011486e-235 1.0208803450924785e-157)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/o	22	0
↳	`(*.f64 y y)`	overflow	66
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	18	0
↳	`(*.f64 y y)`	underflow	68

Confusion

	Predicted +	Predicted -
+	40	2
-	0	214

Precision

1.0

Recall

0.9523809523809523

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	2
-	0	0	214

Precision?

1.0

Recall?

0.9523809523809523

Freqs

test

number	freq
0	216
1	40

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

17.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult!: 3.0ms (52.9% of total)

ival-div!: 2.0ms (35.3% of total)

adjust: 0.0ms (0% of total)

preprocess9.0ms (1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	40	32
2	93	32
3	140	32
4	176	32

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.4%	(/.f64 x (*.f64 y y))

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 10 to 8 computations (20% saved)

series5.0ms (0.6%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

4 → 4

Calls

Call 1

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

Outputs
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))

Calls

6 calls:

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

rewrite38.0ms (4.1%)

Memory

-37.0MiB live, 60.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
0	14	34
1	33	34
0	106	34

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

8 → 31

Calls

Call 1

Inputs
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))

Outputs
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 y))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))
x
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(approx (/ x (* y y)) (/.f64 x (*.f64 y y)))
#s(approx x x)
#s(approx (* y y) (*.f64 y y))
#s(approx y y)

eval3.0ms (0.3%)

Memory: 6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 234 to 75 computations (67.9% saved)

prune8.0ms (0.8%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Accuracy

99.9%

Counts

34 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
✓	85.4%	(/.f64 x (*.f64 y y))

Compiler

Compiled 12 to 9 computations (25% saved)

series6.0ms (0.7%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

5 → 5

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (/ x (neg y)) (neg y)) (/ x (neg y)) x (neg y) y)
1.0ms	x	@	-inf	((/ (/ x (neg y)) (neg y)) (/ x (neg y)) x (neg y) y)
1.0ms	x	@	0	((/ (/ x (neg y)) (neg y)) (/ x (neg y)) x (neg y) y)
1.0ms	y	@	inf	((/ (/ x (neg y)) (neg y)) (/ x (neg y)) x (neg y) y)
1.0ms	y	@	0	((/ (/ x (neg y)) (neg y)) (/ x (neg y)) x (neg y) y)

rewrite26.0ms (2.9%)

Memory

-11.9MiB live, 35.5MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	50
0	24	48
1	52	44
0	176	44

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

10 → 33

Calls

Call 1

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

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

eval3.0ms (0.4%)

Memory: 7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 347 to 75 computations (78.4% saved)

prune17.0ms (1.9%)

Memory

-19.3MiB live, 28.2MiB allocated; 1ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	38	3	41

Accuracy

100.0%

Counts

41 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
✓	85.4%	(/.f64 x (*.f64 y y))
▶	99.7%	(.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) y)))

Compiler

Compiled 21 to 16 computations (23.8% saved)

series6.0ms (0.6%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

7 → 6

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite36.0ms (3.9%)

Memory

-16.0MiB live, 37.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
0	27	56
1	61	56
0	229	56

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

13 → 53

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) y))
(.f64 x (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) (.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) y) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) x)) (.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) x)) (neg.f64 (.f64 (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 y y))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 y y))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 y y))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y y))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y)
(/.f64 (.f64 (/.f64 x y) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 #s(literal -1 binary64) x) (.f64 (*.f64 y y) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) y))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 x)) y)
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (*.f64 #s(literal -1 binary64) y)))
x
y
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(approx (* (/ x y) (/ -1 (* -1 y))) (/.f64 (/.f64 x y) y))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx y y)
#s(approx (/ -1 (* -1 y)) (pow.f64 y #s(literal -1 binary64)))
#s(approx (* -1 y) (*.f64 #s(literal -1 binary64) y))

eval5.0ms (0.5%)

Memory: 10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 526 to 126 computations (76% saved)

prune24.0ms (2.6%)

Memory

-6.7MiB live, 40.6MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	54	5	59

Accuracy

100.0%

Counts

59 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
✓	85.4%	(/.f64 x (*.f64 y y))
✓	99.7%	(.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) y)))
▶	99.6%	(.f64 (/.f64 x y) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
▶	84.7%	(.f64 x (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal -1 binary64))))

Compiler

Compiled 41 to 30 computations (26.8% saved)

series10.0ms (1.1%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

12 → 13

Calls

Call 1

Inputs
(.f64 x (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal -1 binary64))))
x
(/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal -1 binary64)))
#s(literal -1 binary64)
(.f64 (.f64 y y) #s(literal -1 binary64))
(*.f64 y y)
y
(.f64 (/.f64 x y) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 x y)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((* x (/ -1 (* (* y y) -1))) x (/ -1 (* (* y y) -1)) -1 (* (* y y) -1) (* y y) y (* (/ x y) (* (pow y -1/2) (pow y -1/2))) (/ x y) (* (pow y -1/2) (pow y -1/2)) (pow y -1/2) -1/2)
2.0ms	y	@	0	((* x (/ -1 (* (* y y) -1))) x (/ -1 (* (* y y) -1)) -1 (* (* y y) -1) (* y y) y (* (/ x y) (* (pow y -1/2) (pow y -1/2))) (/ x y) (* (pow y -1/2) (pow y -1/2)) (pow y -1/2) -1/2)
1.0ms	y	@	inf	((* x (/ -1 (* (* y y) -1))) x (/ -1 (* (* y y) -1)) -1 (* (* y y) -1) (* y y) y (* (/ x y) (* (pow y -1/2) (pow y -1/2))) (/ x y) (* (pow y -1/2) (pow y -1/2)) (pow y -1/2) -1/2)
1.0ms	x	@	inf	((* x (/ -1 (* (* y y) -1))) x (/ -1 (* (* y y) -1)) -1 (* (* y y) -1) (* y y) y (* (/ x y) (* (pow y -1/2) (pow y -1/2))) (/ x y) (* (pow y -1/2) (pow y -1/2)) (pow y -1/2) -1/2)
1.0ms	x	@	-inf	((* x (/ -1 (* (* y y) -1))) x (/ -1 (* (* y y) -1)) -1 (* (* y y) -1) (* y y) y (* (/ x y) (* (pow y -1/2) (pow y -1/2))) (/ x y) (* (pow y -1/2) (pow y -1/2)) (pow y -1/2) -1/2)

rewrite26.0ms (2.8%)

Memory

-13.3MiB live, 34.0MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	200
0	59	143
0	157	143

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

25 → 56

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) x) (.f64 (*.f64 y y) #s(literal -1 binary64)))
x
(pow.f64 (*.f64 y y) #s(literal -1 binary64))
(pow.f64 y #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal -1 binary64)))
#s(literal -1 binary64)
(.f64 (.f64 y y) #s(literal -1 binary64))
(.f64 y (.f64 y #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y y))
(neg.f64 (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y
(.f64 (.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 y y) #s(literal -1/2 binary64)) (/.f64 x y))
(.f64 (/.f64 x y) (pow.f64 (.f64 y y) #s(literal -1/2 binary64)))
(/.f64 (.f64 x (pow.f64 (.f64 y y) #s(literal -1/2 binary64))) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
#s(approx (* x (/ -1 (* (* y y) -1))) (/.f64 x (*.f64 y y)))
#s(approx x x)
#s(approx (* (/ x y) (* (pow y -1/2) (pow y -1/2))) (/.f64 x (*.f64 y y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (/ -1 (* (* y y) -1)) (pow.f64 y #s(literal -2 binary64)))
#s(approx (* (* y y) -1) (.f64 (.f64 y y) #s(literal -1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (* (pow y -1/2) (pow y -1/2)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
#s(approx (pow y -1/2) (pow.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ x y) (* (pow y -1/2) (pow y -1/2))) (/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) x)) (*.f64 y y)))
#s(approx (* (pow y -1/2) (pow y -1/2)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
#s(approx (pow y -1/2) (.f64 (pow.f64 (pow.f64 (.f64 y y) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))

eval6.0ms (0.6%)

Memory: 12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 810 to 171 computations (78.9% saved)

prune24.0ms (2.6%)

Memory

-9.5MiB live, 37.9MiB allocated; 1ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	72	5	77

Accuracy

100.0%

Counts

77 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
✓	85.4%	(/.f64 x (*.f64 y y))
✓	99.7%	(.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) y)))
✓	99.6%	(.f64 (/.f64 x y) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
✓	84.7%	(.f64 x (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal -1 binary64))))

Compiler

Compiled 82 to 49 computations (40.2% saved)

regimes8.0ms (0.9%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 x (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal -1 binary64))))
(.f64 (/.f64 x y) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) y)))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(*.f64 y y)`
99.8%	1	`(/.f64 x (*.f64 y y))`
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (1.1%)

Memory

-31.5MiB live, 17.7MiB allocated; 2ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 x (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal -1 binary64))))
(.f64 (/.f64 x y) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) y)))
(/.f64 x (*.f64 y y))

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

Calls

4 calls:

5.0ms	x
2.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
99.7%	1	`(*.f64 y y)`
99.7%	1	`(/.f64 x (*.f64 y y))`
99.7%	1	`x`
99.7%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.5%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 x (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal -1 binary64))))
(.f64 (/.f64 x y) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))

Outputs
(.f64 (/.f64 x y) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(*.f64 y y)`
99.6%	1	`(/.f64 x (*.f64 y y))`
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.4%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
84.7%	1	`(*.f64 y y)`
84.7%	1	`y`
84.7%	1	`(/.f64 x (*.f64 y y))`
84.7%	1	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

derivations6.0ms (0.7%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 36 to 18 computations (50% saved)

preprocess57.0ms (6.1%)

Memory

-30.4MiB live, 111.4MiB allocated; 4ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 248 to 162 computations (34.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze10.0ms (1.1%)

sample532.0ms (57.4%)

explain41.0ms (4.5%)

preprocess9.0ms (1%)

series5.0ms (0.6%)

rewrite38.0ms (4.1%)

eval3.0ms (0.3%)

prune8.0ms (0.8%)

series6.0ms (0.7%)

rewrite26.0ms (2.9%)

eval3.0ms (0.4%)

prune17.0ms (1.9%)

series6.0ms (0.6%)

rewrite36.0ms (3.9%)

eval5.0ms (0.5%)

prune24.0ms (2.6%)

series10.0ms (1.1%)

rewrite26.0ms (2.8%)

eval6.0ms (0.6%)

prune24.0ms (2.6%)

regimes8.0ms (0.9%)

regimes10.0ms (1.1%)

regimes5.0ms (0.5%)

regimes4.0ms (0.4%)

derivations6.0ms (0.7%)

preprocess57.0ms (6.1%)

end0.0ms (0%)

Profiling