Details

sample67.0ms

Algorithm

intervals

Results

15.0ms	215×	body	80	valid
9.0ms	34×	body	640	valid
8.0ms	26×	body	1280	valid
5.0ms	28×	body	320	valid
3.0ms	21×	body	160	valid
2.0ms	5×	body	2560	valid

simplify10.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (882.0ms)

Iter	Nodes	Cost
0	9	15
1	23	13
2	75	11
3	202	9
4	437	7
5	769	5
6	1664	5
done	5001	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

48.0ms

(* y (- x z))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* y (- x z))

simplify1.7s

Counts

49 → 49

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	102	721
1	192	548
2	415	438
3	1735	396
done	5001	342

prune69.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x z))
0.2b	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
2.9b	(sqrt (* y (- x z)))
2.9b	(sqrt (* y (- x z)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
28×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`pow-prod-down`
22×	`add-cube-cbrt`
20×	`associate-*r/`
18×	`prod-diff`
16×	`sqrt-div`
12×	`pow1/2`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

25.0ms	(* y (- x z))
73.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
21.0ms	(sqrt (* y (- x z)))
21.0ms	(sqrt (* y (- x z)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* y (- x z))
146.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
80.0ms	(sqrt (* y (- x z)))
71.0ms	(sqrt (* y (- x z)))

simplify4.5s

Counts

147 → 147

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	181	1945
1	338	1406
2	867	1232
3	3678	1140
done	5001	1080

prune302.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes72.0ms

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	5
1	6	5
done	6	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

892.0ms	6981×	body	80	valid
461.0ms	977×	body	1280	valid
235.0ms	927×	body	640	valid
113.0ms	214×	body	2560	valid
97.0ms	621×	body	320	valid
41.0ms	373×	body	160	valid