Details

sample98.0ms

Algorithm

intervals

Results

46.0ms	121×	body	1280	valid
14.0ms	75×	body	640	valid
7.0ms	392×	pre	80	true
5.0ms	40×	body	320	valid
4.0ms	140×	body	80	valid
1.0ms	16×	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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize8.0ms

Local error

Found 1 expressions with local error:

6.2b	(- (exp x) 1.0)

rewrite12.0ms

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:

11.0ms

(- (exp x) 1.0)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(- (exp x) 1.0)

simplify2.1s

Counts

17 → 17

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	224	119
3	690	117
4	2920	117
done	5000	117

prune58.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ 1/2 (* x 1/6)))
0.4b	(* x 1/6)

rewrite60.0ms

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:

44.0ms	(* (pow x 2) (+ 1/2 (* x 1/6)))
14.0ms	(* x 1/6)

series124.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(* (pow x 2) (+ 1/2 (* x 1/6)))
16.0ms	(* x 1/6)

simplify1.5s

Counts

55 → 55

Iterations

Useful iterations: 2 (284.0ms)

Iter	Nodes	Cost
0	90	542
1	265	502
2	1419	443
done	5000	443

prune239.0ms

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

sample2.3s

Algorithm

intervals

Results

1.0s	3410×	body	1280	valid
373.0ms	2559×	body	640	valid
213.0ms	12099×	pre	80	true
177.0ms	1221×	body	320	valid
93.0ms	4286×	body	80	valid
36.0ms	623×	body	160	valid