Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	258×	body	80	valid
0.0ms	1×	body	320	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	8	5
2	15	5
3	23	5
4	30	5
5	32	5
done	32	5

prune1.0ms

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	(* 500.0 (- x y))

rewrite29.0ms

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:

26.0ms

(* 500.0 (- x y))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* 500.0 (- x y))

simplify1.1s

Counts

49 → 49

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	102	721
1	192	548
2	415	438
3	1732	396
done	5001	342

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y))))
0.6b	(cbrt (* 500.0 (- x y)))
0.6b	(cbrt (* 500.0 (- x y)))
0.6b	(cbrt (* 500.0 (- x y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

22.0ms	(* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y))))
7.0ms	(cbrt (* 500.0 (- x y)))
7.0ms	(cbrt (* 500.0 (- x y)))
10.0ms	(cbrt (* 500.0 (- x y)))

series900.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y))))
217.0ms	(cbrt (* 500.0 (- x y)))
222.0ms	(cbrt (* 500.0 (- x y)))
218.0ms	(cbrt (* 500.0 (- x y)))

simplify1.3s

Counts

92 → 92

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	131	1340
1	292	1231
2	785	1145
3	2463	1036
done	5000	993

prune212.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 500.0 (- x y))
0.1b	(sqrt (* 500.0 (- x y)))
0.1b	(sqrt (* 500.0 (- x y)))
0.2b	(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

rewrite120.0ms

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:

22.0ms	(* 500.0 (- x y))
16.0ms	(sqrt (* 500.0 (- x y)))
18.0ms	(sqrt (* 500.0 (- x y)))
58.0ms	(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* 500.0 (- x y))
137.0ms	(sqrt (* 500.0 (- x y)))
139.0ms	(sqrt (* 500.0 (- x y)))
93.0ms	(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

simplify2.2s

Counts

147 → 147

Iterations

Useful iterations: 3 (924.0ms)

Iter	Nodes	Cost
0	192	2029
1	370	1468
2	955	1292
3	4063	1184
done	5000	1184

prune208.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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

sample299.0ms

Algorithm

intervals

Results

120.0ms	8043×	body	80	valid
1.0ms	8×	body	2560	valid
0.0ms	5×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	7×	body	320	valid
0.0ms	5×	body	160	valid