Details

sample90.0ms

Algorithm

intervals

Results

41.0ms	110×	body	1280	valid
15.0ms	86×	body	640	valid
7.0ms	413×	pre	80	true
4.0ms	36×	body	320	valid
4.0ms	157×	body	80	valid
2.0ms	24×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	7	4
done	7	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.3b

localize6.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (exp x) 1.0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

19.0ms

(- (exp x) 1.0)

series25.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(- (exp x) 1.0)

simplify2.0s

Counts

17 → 17

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	177	119
3	328	117
4	668	117
5	1877	117
done	5000	117

prune76.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* 1/6 x) 1/2))
0.3b	(* 1/6 x)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 49

Calls

2 calls:

56.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
20.0ms	(* 1/6 x)

series113.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
15.0ms	(* 1/6 x)

simplify3.5s

Counts

55 → 55

Iterations

Useful iterations: 2 (223.0ms)

Iter	Nodes	Cost
0	89	542
1	247	491
2	804	442
3	3290	442
done	5000	442

prune148.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample2.3s

Algorithm

intervals

Results

933.0ms	3429×	body	1280	valid
439.0ms	2536×	body	640	valid
239.0ms	12059×	pre	80	true
145.0ms	4234×	body	80	valid
126.0ms	1252×	body	320	valid
38.0ms	608×	body	160	valid