Details

sample26.0ms

Algorithm

intervals

Results

6.0ms	215×	body	80	valid
3.0ms	33×	body	640	valid
3.0ms	23×	body	1280	valid
2.0ms	21×	body	320	valid
2.0ms	31×	body	160	valid
0.0ms	2×	body	2560	valid

simplify782.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	67	9
3	176	7
4	833	5
done	5000	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

10.0ms

(* (- x z) y)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (- x z) y)

simplify3.1s

Counts

25 → 25

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	49	185
1	107	178
2	376	158
3	1303	158
4	3847	158
done	5001	158

prune40.0ms

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 (- x z))
0.5b	(cbrt (- x z))
0.5b	(cbrt (- x z))
0.6b	(* (cbrt (- x z)) (cbrt (- x z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

2.0ms	(cbrt (- x z))
2.0ms	(cbrt (- x z))
2.0ms	(cbrt (- x z))
22.0ms	(* (cbrt (- x z)) (cbrt (- x z)))

series555.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (- x z))
145.0ms	(cbrt (- x z))
145.0ms	(cbrt (- x z))
121.0ms	(* (cbrt (- x z)) (cbrt (- x z)))

simplify2.3s

Counts

113 → 113

Iterations

Useful iterations: 3 (548.0ms)

Iter	Nodes	Cost
0	131	1384
1	264	1293
2	950	1223
3	3733	1130
done	5000	1130

prune272.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

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:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series762.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt y) (cbrt y))
184.0ms	(cbrt y)
194.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify1.7s

Counts

85 → 85

Iterations

Useful iterations: 3 (489.0ms)

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

prune161.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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

sample740.0ms

Algorithm

intervals

Results

196.0ms	7028×	body	80	valid
127.0ms	926×	body	1280	valid
96.0ms	849×	body	640	valid
44.0ms	538×	body	320	valid
33.0ms	207×	body	2560	valid
30.0ms	565×	body	160	valid