Details

sample40.0ms

Algorithm

intervals

Results

16.0ms	109×	body	1280	valid
6.0ms	78×	body	640	valid
4.0ms	390×	pre	80	true
3.0ms	48×	body	320	valid
2.0ms	139×	body	80	valid
1.0ms	16×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize3.0ms

Local error

Found 1 expressions with local error:

5.0b	(- (exp x) 1.0)

rewrite5.0ms

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:

5.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify1.2s

Counts

17 → 17

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	184	119
3	305	117
4	598	117
5	1502	117
done	5000	117

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)
14.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
3.0ms	(* 1/6 x)

series117.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)
71.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
14.0ms	(* 1/6 x)

simplify3.2s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	112	812
1	312	730
2	1132	673
3	4794	667
done	5000	667

prune132.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(exp (log (- (exp x) 1.0)))
5.0b	(- (exp x) 1.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`log-prod` `exp-sum`
4×	`add-cube-cbrt` `exp-prod` `add-log-exp`
3×	`pow1`
2×	`add-exp-log` `log-div` `flip3--` `exp-diff` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `diff-log` `log-pow` `rem-exp-log`

Counts

2 → 33

Calls

2 calls:

4.0ms	(exp (log (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series30.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(exp (log (- (exp x) 1.0)))
15.0ms	(- (exp x) 1.0)

simplify1.3s

Counts

39 → 39

Iterations

Useful iterations: 4 (194.0ms)

Iter	Nodes	Cost
0	74	359
1	126	300
2	236	278
3	429	274
4	922	268
5	2396	268
done	5000	268

prune61.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

478.0ms	3444×	body	1280	valid
207.0ms	2492×	body	640	valid
105.0ms	11939×	pre	80	true
68.0ms	1274×	body	320	valid
49.0ms	4105×	body	80	valid
20.0ms	624×	body	160	valid