Details

sample87.0ms

Algorithm

intervals

Results

6.0ms	84×	body	1280	valid
4.0ms	197×	body	80	valid
3.0ms	47×	body	640	valid
1.0ms	25×	body	320	valid
0.0ms	12×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	122
1	14	122
2	37	122
3	108	122
4	239	122
5	391	122
6	524	122
7	742	122
8	1497	122
9	3778	122
done	5001	122

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
2.6b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

24.0ms	(* (+ x 1.0) (+ x 1.0))
15.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series84.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
68.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify2.5s

Counts

61 → 61

Iterations

Useful iterations: 3 (922.0ms)

Iter	Nodes	Cost
0	86	13709
1	264	9964
2	870	9884
3	4280	9844
done	5004	9844

prune129.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

5.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify1.4s

Counts

15 → 15

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	30	3686
1	103	2402
2	366	2242
3	1647	2242
done	5000	2242

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ 2.0 x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
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:

14.0ms

(* x (+ 2.0 x))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* x (+ 2.0 x))

simplify2.3s

Counts

26 → 26

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	44	4428
1	138	3502
2	537	3502
3	3524	3462
done	5001	3422

prune50.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt x) (+ 2.0 x))
0.2b	(* (sqrt x) (* (sqrt x) (+ 2.0 x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

18.0ms	(* (sqrt x) (+ 2.0 x))
25.0ms	(* (sqrt x) (* (sqrt x) (+ 2.0 x)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (sqrt x) (+ 2.0 x))
40.0ms	(* (sqrt x) (* (sqrt x) (+ 2.0 x)))

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	93	14074
1	293	12056
2	1084	10013
done	5000	9773

prune117.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

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	5	122
1	7	122
done	7	122

end0.0ms

sample909.0ms

Algorithm

intervals

Results

502.0ms	2247×	body	1280	valid
148.0ms	5551×	body	80	valid
101.0ms	1688×	body	640	valid
37.0ms	818×	body	320	valid
13.0ms	414×	body	160	valid