Details

sample72.0ms

Algorithm

intervals

Results

27.0ms	111×	body	1280	valid
10.0ms	77×	body	640	valid
8.0ms	107×	body	80	valid
5.0ms	360×	pre	80	true
4.0ms	40×	body	320	valid
2.0ms	25×	body	160	valid

simplify7.0ms

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: 59.5b

localize6.0ms

Local error

Found 1 expressions with local error:

6.8b	(- (exp x) 1.0)

rewrite21.0ms

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:

20.0ms

(- (exp x) 1.0)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- (exp x) 1.0)

simplify1.7s

Counts

17 → 17

Iterations

Useful iterations: 3 (117.0ms)

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

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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:

43.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
11.0ms	(* 1/6 x)

series108.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
15.0ms	(* 1/6 x)

simplify3.2s

Counts

55 → 55

Iterations

Useful iterations: 2 (186.0ms)

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

prune132.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

757.0ms	3330×	body	1280	valid
348.0ms	2584×	body	640	valid
152.0ms	11905×	pre	80	true
113.0ms	1233×	body	320	valid
76.0ms	4081×	body	80	valid
35.0ms	677×	body	160	valid