Details

sample16.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	7	5
2	10	5
3	12	5
4	13	5
done	13	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

30.0ms

(+ (+ x y) x)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(+ (+ x y) x)

simplify2.8s

Counts

18 → 18

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	32	145
1	80	140
2	239	130
3	813	122
4	3728	116
done	5000	116

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (+ (+ x y) x))
0.0b	(+ (+ x y) x)
24.5b	(/ (* y (+ (+ x y) x)) y)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`pow1` `associate-r`
4×	`associate-*r/`
3×	`flip3-+` `times-frac` `associate-l` `associate-/r*` `sum-log` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

103.0ms	(* y (+ (+ x y) x))
32.0ms	(+ (+ x y) x)
50.0ms	(/ (* y (+ (+ x y) x)) y)

series122.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* y (+ (+ x y) x))
30.0ms	(+ (+ x y) x)
36.0ms	(/ (* y (+ (+ x y) x)) y)

simplify3.8s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	92	724
1	245	703
2	846	579
3	3459	539
done	5000	539

prune167.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x y) x)
0.0b	(/ 1 (+ (+ x y) x))
0.2b	(/ 1 (/ 1 (+ (+ x y) x)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity`
138×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
51×	`distribute-lft-out`
26×	`add-exp-log` `associate-/r*`
16×	`div-exp`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`rec-exp` `1-exp` `add-log-exp`
6×	`pow1` `flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`pow-flip`
4×	`cbrt-undiv`
3×	`sum-log` `inv-pow`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+l+` `remove-double-div`

Counts

3 → 173

Calls

3 calls:

38.0ms	(+ (+ x y) x)
49.0ms	(/ 1 (+ (+ x y) x))
70.0ms	(/ 1 (/ 1 (+ (+ x y) x)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (+ x y) x)
64.0ms	(/ 1 (+ (+ x y) x))
28.0ms	(/ 1 (/ 1 (+ (+ x y) x)))

simplify2.4s

Counts

182 → 182

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	174	2628
1	365	1643
2	658	1571
3	1581	1535
done	5000	1507

prune267.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	12	5
done	12	5

end0.0ms

sample504.0ms

Algorithm

intervals

Results

222.0ms

8002×

body

valid