Details

sample37.0ms

Algorithm

intervals

Results

15.0ms	105×	body	1280	valid
7.0ms	82×	body	640	valid
3.0ms	385×	pre	80	true
2.0ms	46×	body	320	valid
2.0ms	133×	body	80	valid
1.0ms	19×	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: 59.4b

localize3.0ms

Local error

Found 1 expressions with local error:

6.0b	(- (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:

4.0ms

(- (exp x) 1.0)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

simplify1.0s

Counts

17 → 17

Iterations

Useful iterations: 3 (241.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	184	119
3	311	117
4	606	117
5	1517	117
done	5002	117

prune38.0ms

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

rewrite20.0ms

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:

5.0ms	(+ (* (pow x 2) (+ 1/2 (* 1/6 x))) x)
10.0ms	(* (pow x 2) (+ 1/2 (* 1/6 x)))
3.0ms	(* 1/6 x)

series109.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* (pow x 2) (+ 1/2 (* 1/6 x))) x)
67.0ms	(* (pow x 2) (+ 1/2 (* 1/6 x)))
14.0ms	(* 1/6 x)

simplify3.7s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	112	816
1	313	730
2	1147	673
3	4997	667
done	5000	667

prune136.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(+ (sqrt (exp x)) (sqrt 1.0))
6.0b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`sqrt-prod`
8×	`add-cube-cbrt` `sqrt-pow1` `add-log-exp`
6×	`pow1` `exp-prod`
4×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
2×	`rem-sqrt-square` `pow1/2` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

4 → 63

Calls

4 calls:

1.0ms	(sqrt (exp x))
4.0ms	(sqrt (exp x))
7.0ms	(+ (sqrt (exp x)) (sqrt 1.0))
8.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series100.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp x))
18.0ms	(sqrt (exp x))
31.0ms	(+ (sqrt (exp x)) (sqrt 1.0))
38.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify1.2s

Counts

75 → 75

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	71	592
1	139	528
2	272	504
3	518	496
4	1038	496
5	2688	496
done	5001	496

prune136.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

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

472.0ms	3361×	body	1280	valid
210.0ms	2527×	body	640	valid
100.0ms	12012×	pre	80	true
66.0ms	1307×	body	320	valid
45.0ms	4169×	body	80	valid
21.0ms	648×	body	160	valid