Details

sample88.0ms

Algorithm

intervals

Results

30.0ms	797×	body	80	nan
11.0ms	256×	body	80	valid

simplify621.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	109	11
4	192	11
5	270	11
6	380	11
7	455	11
8	506	11
9	509	11
done	509	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (* x (log y)) y)
0.3b	(* x (log y))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

146.0ms	(+ (- (- (* x (log y)) y) z) (log t))
9.0ms	(- (* x (log y)) y)
8.0ms	(* x (log y))

series143.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (- (- (* x (log y)) y) z) (log t))
59.0ms	(- (* x (log y)) y)
38.0ms	(* x (log y))

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: 3 (448.0ms)

Iter	Nodes	Cost
0	148	857
1	330	828
2	772	764
3	2358	730
done	5001	730

prune211.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite18.0ms

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:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series748.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt y) (cbrt y))
180.0ms	(cbrt y)
180.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify3.3s

Counts

85 → 85

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune300.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(pow y 1/3)

series797.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt y) (cbrt y))
190.0ms	(cbrt y)
219.0ms	(cbrt y)
173.0ms	(pow y 1/3)

simplify1.2s

Counts

92 → 92

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	89	577
1	171	446
2	492	384
3	1879	359
done	5001	356

prune317.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(cbrt (cbrt y))
5.0b	(pow y 1/3)
5.3b	(pow (cbrt y) 5/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-pow` `pow1/3`
2×	`pow-to-exp` `pow-exp` `sqr-pow`
1×	`unpow1/3`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
2.0ms	(pow y 1/3)
3.0ms	(pow (cbrt y) 5/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

384.0ms	(cbrt y)
253.0ms	(cbrt (cbrt y))
181.0ms	(pow y 1/3)
315.0ms	(pow (cbrt y) 5/3)

simplify2.4s

Counts

76 → 76

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	101	470
1	202	398
2	434	370
3	1114	357
4	4431	353
done	5001	353

prune308.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes247.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	25	25
done	25	25

end0.0ms

sample2.2s

Algorithm

intervals

Results

740.0ms	24119×	body	80	nan
319.0ms	8026×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid