Details

sample51.0ms

Algorithm

intervals

Results

19.0ms	48×	body	1280	valid
10.0ms	39×	body	640	valid
8.0ms	142×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
0.1b	(* z (cos y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

3.0ms	(* x (sin y))
3.0ms	(* z (cos y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (sin y))
36.0ms	(* z (cos y))

simplify2.2s

Counts

46 → 46

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	65	274
1	126	268
2	387	236
3	767	236
4	1150	236
5	2437	236
done	5000	236

prune109.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series393.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
96.0ms	(cbrt (sin y))
94.0ms	(cbrt (sin y))
95.0ms	(cbrt (sin y))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (327.0ms)

Iter	Nodes	Cost
0	79	750
1	165	668
2	551	564
3	2181	541
done	5000	541

prune249.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (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×	`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:

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

series718.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt x) (cbrt x))
181.0ms	(cbrt x)
168.0ms	(cbrt x)
174.0ms	(cbrt x)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 3 (295.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune264.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.8b	(pow (cbrt (cbrt x)) 4)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
3.0ms	(cbrt (* (cbrt x) (cbrt x)))
3.0ms	(pow (cbrt (cbrt x)) 4)

series926.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt x)
176.0ms	(cbrt x)
274.0ms	(cbrt (* (cbrt x) (cbrt x)))
301.0ms	(pow (cbrt (cbrt x)) 4)

simplify1.6s

Counts

75 → 75

Iterations

Useful iterations: 3 (294.0ms)

Iter	Nodes	Cost
0	91	509
1	185	478
2	493	417
3	1675	408
done	5000	408

prune291.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes106.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	15	18
done	15	18

end0.0ms

sample1.5s

Algorithm

intervals

Results

628.0ms	1521×	body	1280	valid
312.0ms	1211×	body	640	valid
234.0ms	4350×	body	80	valid
116.0ms	595×	body	320	valid
39.0ms	323×	body	160	valid