Details

sample260.0ms

Algorithm

intervals

Results

5.0ms	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

simplify8.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	9
1	15	9
2	35	9
3	84	9
4	204	9
5	332	9
6	506	9
7	788	9
8	1544	9
9	2248	9
10	2714	9
11	3079	9
12	3532	9
13	4512	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)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1`
7×	`add-cube-cbrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `frac-times` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`prod-diff`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `log1p-expm1-u`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

15.0ms	(* (+ x 1.0) (+ x 1.0))
10.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series75.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (+ x 1.0) (+ x 1.0))
60.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify456.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	106	849
1	273	717
2	1125	643
done	5001	643

prune79.0ms

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))

rewrite9.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

8.0ms

(* x (+ 2.0 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* x (+ 2.0 x))

simplify906.0ms

Counts

28 → 28

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	46	206
1	125	193
2	453	174
3	1891	174
done	5000	174

prune31.0ms

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` `expm1-log1p-u` `add-cube-cbrt` `distribute-rgt-out` `fma-def` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 15

Calls

1 calls:

2.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify1.1s

Counts

18 → 18

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	32	185
1	107	141
2	383	125
3	1226	124
done	5000	123

prune24.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

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	7
1	7	7
done	7	7

end0.0ms

sample451.0ms

Algorithm

intervals

Results

136.0ms	2236×	body	1280	valid
80.0ms	5533×	body	80	valid
79.0ms	1678×	body	640	valid
33.0ms	840×	body	320	valid
13.0ms	436×	body	160	valid