Details

sample252.0ms

Algorithm

intervals

Results

4.0ms	73×	body	1280	valid
3.0ms	56×	body	640	valid
3.0ms	180×	body	80	valid
2.0ms	20×	body	320	valid
0.0ms	13×	body	160	valid

simplify13.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	9
1	14	9
2	32	9
3	69	9
4	155	9
5	255	9
6	366	9
7	595	9
8	1266	9
9	1756	9
10	2058	9
11	2316	9
12	2718	9
13	3330	9
14	4078	9
15	4218	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
3.4b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt`
6×	`add-cube-cbrt` `flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `frac-times` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
10.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series76.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (+ x 1.0) (+ x 1.0))
61.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify2.9s

Counts

61 → 61

Iterations

Useful iterations: 3 (807.0ms)

Iter	Nodes	Cost
0	86	736
1	229	642
2	862	576
3	4794	534
done	5000	534

prune76.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ 2.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

9.0ms

(* x (+ 2.0 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* x (+ 2.0 x))

simplify908.0ms

Counts

26 → 26

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	44	194
1	122	181
2	427	163
3	1792	163
done	5000	163

prune32.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2.0 x) (* x x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 12

Calls

1 calls:

2.0ms

(+ (* 2.0 x) (* x x))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(+ (* 2.0 x) (* x x))

simplify3.0s

Counts

15 → 15

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	30	169
1	100	130
2	343	114
3	1065	112
4	4239	112
done	5001	112

prune21.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
done	6	5

end0.0ms

sample437.0ms

Algorithm

intervals

Results

129.0ms	2236×	body	1280	valid
82.0ms	1678×	body	640	valid
81.0ms	5533×	body	80	valid
30.0ms	840×	body	320	valid
11.0ms	436×	body	160	valid