Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
5.0ms	309×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4
1	4	4
done	4	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite12.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

12.0ms

(* x (log x))

series211.0ms

Counts

1 → 3

Calls

1 calls:

211.0ms

(* x (log x))

simplify1.9s

Counts

30 → 30

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	55	213
1	95	204
2	183	180
3	283	173
4	1038	173
done	5001	173

prune65.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt x)) x)
0.3b	(* (* 2 (log (cbrt x))) x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 68

Calls

4 calls:

9.0ms	(* (log (cbrt x)) x)
27.0ms	(* (* 2 (log (cbrt x))) x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

498.0ms	(* (log (cbrt x)) x)
500.0ms	(* (* 2 (log (cbrt x))) x)
219.0ms	(cbrt x)
208.0ms	(cbrt x)

simplify3.3s

Counts

80 → 80

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	89	565
1	197	535
2	728	437
3	3121	431
done	5001	431

prune223.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (pow x 2/3))
6.0b	(pow x 2/3)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (pow x 2/3))
3.0ms	(pow x 2/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

300.0ms	(cbrt x)
335.0ms	(cbrt (cbrt x))
263.0ms	(cbrt (pow x 2/3))
319.0ms	(pow x 2/3)

simplify2.4s

Counts

77 → 77

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	101	460
1	179	415
2	328	379
3	756	365
4	2686	360
done	5000	360

prune409.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow (pow x (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3)))
1.0b	(* (cbrt 2/3) (cbrt 2/3))
2.9b	(pow x (* (cbrt 2/3) (cbrt 2/3)))
5.8b	(pow (pow x (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
28×	`add-sqr-sqrt`
23×	`unpow-prod-down`
20×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
9×	`add-exp-log`
7×	`pow-unpow` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`pow-exp` `sqr-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

10.0ms	(cbrt (pow (pow x (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3)))
22.0ms	(* (cbrt 2/3) (cbrt 2/3))
6.0ms	(pow x (* (cbrt 2/3) (cbrt 2/3)))
23.0ms	(pow (pow x (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))

series2.0s

Counts

4 → 10

Calls

4 calls:

941.0ms	(cbrt (pow (pow x (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3)))
0.0ms	(* (cbrt 2/3) (cbrt 2/3))
371.0ms	(pow x (* (cbrt 2/3) (cbrt 2/3)))
724.0ms	(pow (pow x (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))

simplify2.2s

Counts

118 → 118

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	143	1444
1	281	1219
2	697	1142
3	2061	1084
done	5001	904

prune743.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	19	19
done	19	19

end0.0ms

sample1.4s

Algorithm

intervals

Results

372.0ms	8039×	body	80	valid
232.0ms	8142×	body	80	nan