Details

sample28.0ms

Algorithm

intervals

Results

6.0ms	215×	body	80	valid
4.0ms	38×	body	640	valid
3.0ms	25×	body	1280	valid
2.0ms	22×	body	320	valid
1.0ms	23×	body	160	valid
0.0ms	2×	body	2560	valid

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (366.0ms)

Iter	Nodes	Cost
0	9	15
1	23	13
2	73	11
3	194	9
4	378	7
5	692	5
6	1611	5
done	5000	5

prune4.0ms

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	(* (- 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×	`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 → 24

Calls

1 calls:

10.0ms

(* (- x z) y)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (- x z) y)

simplify2.3s

Counts

27 → 27

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	51	197
1	109	190
2	351	170
3	1246	170
4	3156	170
done	5000	170

prune52.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

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)))

series546.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (- x z))
145.0ms	(cbrt (- x z))
142.0ms	(cbrt (- x z))
118.0ms	(* (cbrt (- x z)) (cbrt (- x z)))

simplify2.3s

Counts

121 → 121

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	135	1434
1	270	1320
2	665	1262
3	1686	1159
4	4911	1119
done	5000	1119

prune311.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

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

series733.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt y) (cbrt y))
178.0ms	(cbrt y)
177.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify3.0s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	329	423
3	1180	405
4	3749	400
done	5000	400

prune212.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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

sample765.0ms

Algorithm

intervals

Results

211.0ms	7027×	body	80	valid
130.0ms	959×	body	1280	valid
100.0ms	948×	body	640	valid
52.0ms	603×	body	320	valid
36.0ms	208×	body	2560	valid
22.0ms	368×	body	160	valid