Details

sample122.0ms

Algorithm

intervals

Results

50.0ms	754×	body	80	nan
17.0ms	258×	body	80	valid

simplify998.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x (log y)) y) z)
0.0b	(- (* x (log y)) y)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.2b	(* x (log y))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate--l+`
27×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-+l+`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

87.0ms	(- (- (* x (log y)) y) z)
10.0ms	(- (* x (log y)) y)
199.0ms	(+ (- (- (* x (log y)) y) z) (log t))
16.0ms	(* x (log y))

series261.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (- (* x (log y)) y) z)
80.0ms	(- (* x (log y)) y)
76.0ms	(+ (- (- (* x (log y)) y) z) (log t))
63.0ms	(* x (log y))

simplify2.3s

Counts

110 → 110

Iterations

Useful iterations: 3 (899.0ms)

Iter	Nodes	Cost
0	167	1160
1	373	1097
2	942	1042
3	3341	994
done	5000	994

prune430.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize48.0ms

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)

rewrite39.0ms

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:

31.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

331.0ms	(* (cbrt y) (cbrt y))
301.0ms	(cbrt y)
343.0ms	(cbrt y)
277.0ms	(cbrt y)

simplify5.5s

Counts

85 → 85

Iterations

Useful iterations: done (5.5s)

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

prune463.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
5.9b	(pow y 2/3)
5.9b	(pow y 2/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

2.0ms	(cbrt y)
3.0ms	(cbrt (cbrt y))
5.0ms	(pow y 2/3)
4.0ms	(pow y 2/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt y)
445.0ms	(cbrt (cbrt y))
241.0ms	(pow y 2/3)
268.0ms	(pow y 2/3)

simplify1.9s

Counts

71 → 71

Iterations

Useful iterations: 4 (677.0ms)

Iter	Nodes	Cost
0	75	409
1	144	358
2	275	328
3	642	312
4	2156	304
done	5000	304

prune555.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.9b	(pow (/ 1 y) -1/3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

370.0ms	(* (cbrt y) (cbrt y))
302.0ms	(cbrt y)
297.0ms	(cbrt y)
295.0ms	(pow (/ 1 y) -1/3)

simplify2.1s

Counts

106 → 106

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	135	788
1	270	620
2	577	592
3	1656	570
done	5001	565

prune533.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes395.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	31
1	27	31
done	27	31

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.3s	24257×	body	80	nan
778.0ms	8031×	body	80	valid
0.0ms	1×	body	640	valid