Details

sample44.0ms

Algorithm

intervals

Results

13.0ms	255×	body	80	valid
11.0ms	277×	body	80	nan
0.0ms	1×	body	1280	valid

simplify285.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	39	8
4	45	8
5	53	8
6	73	8
7	94	8
8	101	8
9	109	8
10	113	8
11	115	8
12	116	8
done	116	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `associate-r`
3×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-l` `add-cbrt-cube`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

26.0ms

(* x (log y))

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(* x (log y))

simplify1.6s

Counts

28 → 28

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	57	203
1	97	194
2	183	170
3	283	163
4	1009	163
done	5000	163

prune76.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

16.0ms	(* (log (cbrt y)) x)
36.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series888.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (log (cbrt y)) x)
159.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
281.0ms	(cbrt y)
305.0ms	(cbrt y)

simplify4.4s

Counts

66 → 66

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	87	597
1	209	481
2	742	423
3	3667	350
done	5000	345

prune318.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (* (cbrt -1) (cbrt (- y))))
0.4b	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
0.6b	(cbrt (- y))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1`
11×	`add-exp-log`
10×	`cbrt-prod`
8×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
6×	`associate-r` `log-pow`
5×	`pow1/3`
4×	`prod-exp`
3×	`distribute-lft-neg-in` `log-prod` `distribute-rgt-neg-in` `cbrt-unprod` `add-log-exp`
2×	`rem-log-exp`
1×	`distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `associate-l` `*-commutative`

Counts

3 → 54

Calls

3 calls:

25.0ms	(log (* (cbrt -1) (cbrt (- y))))
40.0ms	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
3.0ms	(cbrt (- y))

series1.0s

Counts

3 → 9

Calls

3 calls:

432.0ms	(log (* (cbrt -1) (cbrt (- y))))
231.0ms	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
339.0ms	(cbrt (- y))

simplify2.1s

Counts

63 → 63

Iterations

Useful iterations: 3 (990.0ms)

Iter	Nodes	Cost
0	96	633
1	204	600
2	694	509
3	2950	498
done	5002	498

prune227.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (* (log (cbrt y)) x))
0.6b	(cbrt (* (log (cbrt y)) x))
0.6b	(cbrt (* (log (cbrt y)) x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 38

Calls

4 calls:

2.0ms	(cbrt y)
7.0ms	(cbrt (* (log (cbrt y)) x))
7.0ms	(cbrt (* (log (cbrt y)) x))
8.0ms	(cbrt (* (log (cbrt y)) x))

series930.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt y)
206.0ms	(cbrt (* (log (cbrt y)) x))
240.0ms	(cbrt (* (log (cbrt y)) x))
247.0ms	(cbrt (* (log (cbrt y)) x))

simplify2.9s

Counts

50 → 50

Iterations

Useful iterations: 4 (252.0ms)

Iter	Nodes	Cost
0	57	434
1	108	418
2	210	370
3	451	349
4	1112	316
5	3618	316
done	5000	316

prune267.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes157.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

976.0ms	8029×	body	80	valid
435.0ms	8294×	body	80	nan
1.0ms	2×	body	1280	valid