Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, C

start0.0ms (0%)

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

analyze11.0ms (1.2%)

Memory

19.9MiB live, 19.9MiB 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 7 computations (0% saved)

sample569.0ms (61.5%)

Memory

-0.5MiB live, 1 089.8MiB allocated; 89ms collecting garbage

Samples

346.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 66.0ms (46.6% of total)

ival-div: 64.0ms (45.2% of total)

exact: 7.0ms (4.9% of total)

ival-assert: 3.0ms (2.1% of total)

adjust: 2.0ms (1.4% of total)

Bogosity

explain49.0ms (5.3%)

Memory

-0.3MiB live, 94.8MiB allocated; 4ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 y #s(literal 3 binary64))`
-	-	`y`
-	-	`#s(literal 3 binary64)`
-	-	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
-	-	`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

22.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (44.3% of total)

ival-mult: 4.0ms (44.3% 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)

preprocess18.0ms (2%)

Memory

-15.4MiB live, 31.9MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	32	30
2	56	30
3	82	30
4	111	30
5	127	30
0	5	5
0	7	5
1	10	5
2	12	5
0	12	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))

Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 #s(literal 3 binary64) y))

Symmetry

(negabs x)

(negabs y)

Compiler

Compiled 5 to 5 computations (0% 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

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Compiler

Compiled 5 to 5 computations (0% saved)

series6.0ms (0.7%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

5 → 4

Calls

Call 1

Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
x
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)

Outputs
#s(approx (/ x (* y 3)) #s(hole binary64 (* 1/3 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 3) #s(hole binary64 (* 3 y)))
#s(approx y #s(hole binary64 y))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((/ x (* y 3)) x (* y 3) y 3)
1.0ms	x	@	-inf	((/ x (* y 3)) x (* y 3) y 3)
1.0ms	x	@	inf	((/ x (* y 3)) x (* y 3) y 3)
1.0ms	y	@	-inf	((/ x (* y 3)) x (* y 3) y 3)
1.0ms	y	@	0	((/ x (* y 3)) x (* y 3) y 3)

rewrite19.0ms (2%)

Memory

-23.9MiB live, 25.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
0	16	35
1	26	35
2	57	35
3	127	35
4	153	35
5	156	35
0	156	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

9 → 19

Calls

Call 1

Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
x
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
#s(approx (/ x (* y 3)) #s(hole binary64 (* 1/3 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 3) #s(hole binary64 (* 3 y)))
#s(approx y #s(hole binary64 y))

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

eval2.0ms (0.2%)

Memory: 3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 116 to 41 computations (64.7% saved)

prune3.0ms (0.4%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	16	3	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	4	20

Accuracy

100.0%

Counts

20 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
▶	99.7%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶	99.6%	#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))

Compiler

Compiled 27 to 25 computations (7.4% saved)

series6.0ms (0.7%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

13 → 10

Calls

Call 1

Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
#s(literal -3 binary64)

Outputs
#s(approx (/ x (* y 3)) #s(hole binary64 (* 1/3 (/ x y))))
#s(approx (* (/ x y) 1/3) #s(hole binary64 (* 1/3 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ x 3) y) #s(hole binary64 (* 1/3 (/ x y))))
#s(approx (/ x 3) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (/ (neg x) y) -3) #s(hole binary64 (* 1/3 (/ x y))))
#s(approx (/ (neg x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx y #s(hole binary64 y))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ x (* y 3)) (* (/ x y) 1/3) (/ x y) x y 1/3 (/ (/ x 3) y) (/ x 3) 3 (/ (/ (neg x) y) -3) (/ (neg x) y) (neg x) -3)
1.0ms	x	@	-inf	((/ x (* y 3)) (* (/ x y) 1/3) (/ x y) x y 1/3 (/ (/ x 3) y) (/ x 3) 3 (/ (/ (neg x) y) -3) (/ (neg x) y) (neg x) -3)
1.0ms	x	@	0	((/ x (* y 3)) (* (/ x y) 1/3) (/ x y) x y 1/3 (/ (/ x 3) y) (/ x 3) 3 (/ (/ (neg x) y) -3) (/ (neg x) y) (neg x) -3)
1.0ms	y	@	inf	((/ x (* y 3)) (* (/ x y) 1/3) (/ x y) x y 1/3 (/ (/ x 3) y) (/ x 3) 3 (/ (/ (neg x) y) -3) (/ (neg x) y) (neg x) -3)
1.0ms	y	@	-inf	((/ x (* y 3)) (* (/ x y) 1/3) (/ x y) x y 1/3 (/ (/ x 3) y) (/ x 3) 3 (/ (/ (neg x) y) -3) (/ (neg x) y) (neg x) -3)

rewrite38.0ms (4.1%)

Memory

-7.4MiB live, 40.3MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	125
0	45	121
1	72	121
2	148	121
3	285	121
0	415	121

Stop Event

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

Counts

23 → 129

Calls

Call 1

Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
#s(literal -3 binary64)
#s(approx (/ x (* y 3)) #s(hole binary64 (* 1/3 (/ x y))))
#s(approx (* (/ x y) 1/3) #s(hole binary64 (* 1/3 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ x 3) y) #s(hole binary64 (* 1/3 (/ x y))))
#s(approx (/ x 3) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (/ (neg x) y) -3) #s(hole binary64 (* 1/3 (/ x y))))
#s(approx (/ (neg x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx y #s(hole binary64 y))

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

eval7.0ms (0.7%)

Memory: 15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 808 to 191 computations (76.4% saved)

prune44.0ms (4.8%)

Memory

-18.6MiB live, 76.5MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	82	5	87

Accuracy

100.0%

Counts

87 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
✓	99.7%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶	99.5%	#s(approx (/ x (* y 3)) (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 1/3 binary64) x)))
▶	99.6%	#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))

Compiler

Compiled 40 to 36 computations (10% saved)

series5.0ms (0.5%)

Memory

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

Counts

11 → 8

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((/ x (* y 3)) (* (/ 1/3 y) x) (/ 1/3 y) 1/3 y x (/ x (* y 3)) (* (pow y -1) (* 1/3 x)) (pow y -1) -1 (* 1/3 x))
1.0ms	x	@	inf	((/ x (* y 3)) (* (/ 1/3 y) x) (/ 1/3 y) 1/3 y x (/ x (* y 3)) (* (pow y -1) (* 1/3 x)) (pow y -1) -1 (* 1/3 x))
1.0ms	x	@	-inf	((/ x (* y 3)) (* (/ 1/3 y) x) (/ 1/3 y) 1/3 y x (/ x (* y 3)) (* (pow y -1) (* 1/3 x)) (pow y -1) -1 (* 1/3 x))
1.0ms	y	@	0	((/ x (* y 3)) (* (/ 1/3 y) x) (/ 1/3 y) 1/3 y x (/ x (* y 3)) (* (pow y -1) (* 1/3 x)) (pow y -1) -1 (* 1/3 x))
1.0ms	y	@	inf	((/ x (* y 3)) (* (/ 1/3 y) x) (/ 1/3 y) 1/3 y x (/ x (* y 3)) (* (pow y -1) (* 1/3 x)) (pow y -1) -1 (* 1/3 x))

rewrite28.0ms (3%)

Memory

-14.6MiB live, 34.4MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	111
0	38	105
1	70	105
0	173	105

Stop Event

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

Counts

19 → 79

Calls

Call 1

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

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

eval5.0ms (0.6%)

Memory: 14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 843 to 182 computations (78.4% saved)

prune37.0ms (4%)

Memory

-12.6MiB live, 82.8MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	61	5	66

Accuracy

100.0%

Counts

66 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
✓	99.7%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.5%	#s(approx (/ x (* y 3)) (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 1/3 binary64) x)))
✓	99.6%	#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))

Compiler

Compiled 91 to 62 computations (31.9% saved)

regimes9.0ms (1%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
#s(approx (/ x (* y 3)) (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 1/3 binary64) x)))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))

Outputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)

Calls

4 calls:

2.0ms	y
2.0ms	(*.f64 y #s(literal 3 binary64))
2.0ms	x
2.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
99.7%	1	`(*.f64 y #s(literal 3 binary64))`
99.7%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.7%	1	`x`
99.7%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes8.0ms (0.8%)

Memory

-28.9MiB live, 18.8MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))

Calls

4 calls:

2.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))
2.0ms	(*.f64 y #s(literal 3 binary64))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`(*.f64 y #s(literal 3 binary64))`
99.7%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.7%	1	`x`
99.7%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.7%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))

#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))

#s(approx (/ x (* y 3)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) x)))

Outputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))

Calls

4 calls:

1.0ms	(*.f64 y #s(literal 3 binary64))
1.0ms	x
1.0ms	y
1.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
99.6%	1	`(*.f64 y #s(literal 3 binary64))`
99.6%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes4.0ms (0.5%)

Memory

12.2MiB live, 12.2MiB 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 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))

Outputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))

Calls

4 calls:

1.0ms	(*.f64 y #s(literal 3 binary64))
1.0ms	x
1.0ms	y
1.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
99.6%	1	`(*.f64 y #s(literal 3 binary64))`
99.6%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify11.0ms (1.1%)

Memory

-28.9MiB live, 19.9MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	19	32
2	21	32

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x (*.f64 y #s(literal 3 binary64)))
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))

Outputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x (*.f64 y #s(literal 3 binary64)))
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))

derivations6.0ms (0.6%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 32 to 17 computations (46.9% saved)

preprocess34.0ms (3.6%)

Memory

20.4MiB live, 67.5MiB allocated; 2ms collecting garbage

Remove

(negabs y)

(negabs x)

Compiler

Compiled 114 to 84 computations (26.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze11.0ms (1.2%)

sample569.0ms (61.5%)

explain49.0ms (5.3%)

preprocess18.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.7%)

rewrite19.0ms (2%)

eval2.0ms (0.2%)

prune3.0ms (0.4%)

series6.0ms (0.7%)

rewrite38.0ms (4.1%)

eval7.0ms (0.7%)

prune44.0ms (4.8%)

series5.0ms (0.5%)

rewrite28.0ms (3%)

eval5.0ms (0.6%)

prune37.0ms (4%)

regimes9.0ms (1%)

regimes8.0ms (0.8%)

regimes6.0ms (0.7%)

regimes4.0ms (0.5%)

simplify11.0ms (1.1%)

derivations6.0ms (0.6%)

preprocess34.0ms (3.6%)

end0.0ms (0%)

Profiling