Details

sample252.0ms

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

simplify13.7s

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	509	9
7	793	9
8	1548	9
9	2258	9
10	2814	9
11	3194	9
12	3452	9
13	3773	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.1b

localize6.0ms

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)

rewrite31.0ms

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:

17.0ms	(* (+ x 1.0) (+ x 1.0))
11.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series77.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify2.4s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	106	849
1	273	717
2	972	646
3	4980	593
done	5000	593

prune93.0ms

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 (+ x 2.0))

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` `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:

10.0ms

(* x (+ x 2.0))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* x (+ x 2.0))

simplify3.3s

Counts

28 → 28

Iterations

Useful iterations: 3 (174.0ms)

Iter	Nodes	Cost
0	46	206
1	125	193
2	345	175
3	1115	174
4	4440	174
done	5001	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	(+ (* x x) (* 2.0 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:

3.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify1.8s

Counts

18 → 18

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	32	185
1	107	141
2	385	123
3	1098	123
4	2753	123
done	5000	123

prune23.0ms

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	4	5
1	6	5
done	6	5

end0.0ms

sample456.0ms

Algorithm

intervals

Results

135.0ms	2236×	body	1280	valid
84.0ms	5533×	body	80	valid
82.0ms	1678×	body	640	valid
31.0ms	840×	body	320	valid
11.0ms	436×	body	160	valid