Details

sample29.0ms

Algorithm

intervals

Results

6.0ms	221×	body	80	valid
5.0ms	36×	body	1280	valid
3.0ms	30×	body	640	valid
2.0ms	10×	body	2560	valid
1.0ms	18×	body	320	valid
1.0ms	18×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (106.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	67	9
3	175	7
4	799	5
done	5001	5

prune9.0ms

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)

rewrite10.0ms

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)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* (- x z) y)

simplify2.1s

Counts

25 → 25

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	49	185
1	105	178
2	344	158
3	1207	158
4	2981	158
done	5000	158

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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:

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

series782.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt y) (cbrt y))
188.0ms	(cbrt y)
193.0ms	(cbrt y)
186.0ms	(cbrt y)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: 3 (324.0ms)

Iter	Nodes	Cost
0	61	524
1	115	417
2	381	397
3	1865	379
done	5000	379

prune182.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series952.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt y)
254.0ms	(cbrt (cbrt y))
254.0ms	(cbrt (cbrt y))
259.0ms	(cbrt (cbrt y))

simplify545.0ms

Counts

65 → 65

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	42	389
1	75	370
2	147	340
3	338	328
4	1136	328
done	5001	328

prune186.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x z))
0.0b	(sqrt (- x z))
0.1b	(* (sqrt (- x z)) y)
0.1b	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

4.0ms	(sqrt (- x z))
4.0ms	(sqrt (- x z))
14.0ms	(* (sqrt (- x z)) y)
25.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

series263.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (- x z))
72.0ms	(sqrt (- x z))
89.0ms	(* (sqrt (- x z)) y)
30.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	128	1215
1	308	985
2	824	899
3	2721	871
done	5001	867

prune209.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes57.0ms

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

sample739.0ms

Algorithm

intervals

Results

202.0ms	6961×	body	80	valid
128.0ms	973×	body	1280	valid
90.0ms	826×	body	640	valid
43.0ms	541×	body	320	valid
36.0ms	227×	body	2560	valid
33.0ms	565×	body	160	valid