Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	259×	body	80	valid
5.0ms	238×	body	80	nan

simplify122.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	41	8
4	52	8
5	64	8
6	85	8
7	119	8
8	160	8
9	162	8
done	162	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

4.0ms	(- (* x (log y)) z)
6.0ms	(* x (log y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- (* x (log y)) z)
39.0ms	(* x (log y))

simplify6.5s

Counts

49 → 49

Iterations

Useful iterations: 4 (933.0ms)

Iter	Nodes	Cost
0	90	402
1	177	381
2	485	351
3	1177	336
4	4140	332
done	5000	332

prune98.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series709.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt y) (cbrt y))
170.0ms	(cbrt y)
170.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: 3 (290.0ms)

Iter	Nodes	Cost
0	61	524
1	118	465
2	446	397
3	1994	379
done	5000	379

prune245.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series737.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt x) (cbrt x))
177.0ms	(cbrt x)
182.0ms	(cbrt x)
177.0ms	(cbrt x)

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: 3 (290.0ms)

Iter	Nodes	Cost
0	61	524
1	118	465
2	446	397
3	1994	379
done	5000	379

prune221.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
0.6b	(cbrt (* x (log y)))
0.6b	(cbrt (* x (log y)))
0.6b	(cbrt (* x (log y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
1.0ms	(cbrt (* x (log y)))
1.0ms	(cbrt (* x (log y)))
2.0ms	(cbrt (* x (log y)))

series474.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
110.0ms	(cbrt (* x (log y)))
115.0ms	(cbrt (* x (log y)))
109.0ms	(cbrt (* x (log y)))

simplify1.5s

Counts

70 → 70

Iterations

Useful iterations: 3 (290.0ms)

Iter	Nodes	Cost
0	89	761
1	190	684
2	579	597
3	2281	508
done	5000	508

prune197.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes310.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample705.0ms

Algorithm

intervals

Results

224.0ms	8028×	body	80	valid
161.0ms	7959×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid