Details

sample27.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify227.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	27	7
3	65	7
4	104	7
5	134	7
6	154	7
7	171	7
8	173	7
done	173	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

46.0ms

(* (+ a b) (+ a b))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(* (+ a b) (+ a b))

simplify3.4s

Counts

45 → 45

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	64	532
1	195	462
2	790	416
3	3636	380
done	5000	380

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma b (fma a 2 b) (* a a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma b (fma a 2 b) (* a a))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma b (fma a 2 b) (* a a))

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	22	165
1	43	162
2	100	135
3	323	135
4	1691	135
done	5000	135

prune43.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma b (fma a 2 b) (* a a))
0.6b	(cbrt (pow (fma b (fma a 2 b) (* a a)) 3))
0.8b	(pow (fma b (fma a 2 b) (* a a)) 3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma b (fma a 2 b) (* a a))
2.0ms	(cbrt (pow (fma b (fma a 2 b) (* a a)) 3))
3.0ms	(pow (fma b (fma a 2 b) (* a a)) 3)

series188.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma b (fma a 2 b) (* a a))
31.0ms	(cbrt (pow (fma b (fma a 2 b) (* a a)) 3))
125.0ms	(pow (fma b (fma a 2 b) (* a a)) 3)

simplify2.8s

Counts

67 → 67

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	87	1167
1	193	980
2	525	856
3	3294	847
done	5000	843

prune137.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

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	6	9
done	6	9

end0.0ms

sample669.0ms

Algorithm

intervals

Results

198.0ms	8000×	pre	80	true
163.0ms	8000×	body	80	valid