Details

sample77.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
14.0ms	255×	body	80	nan
1.0ms	1×	body	2560	valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3880
7	1171
6	415
5	191
4	83
3	41
2	25
1	14
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (log y) x) y)
0.2b	(* (log y) x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`pow1`
4×	`-un-lft-identity` `add-cbrt-cube` `associate-l*` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

13.0ms	(- (* (log y) x) y)
15.0ms	(* (log y) x)

series201.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(- (* (log y) x) y)
101.0ms	(* (log y) x)

simplify4.4s

Counts

37 → 37

Iterations

Iter	Nodes
done	5001
3	4100
2	579
1	155
0	70

prune180.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(* (cbrt (log y)) (cbrt (log y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 81

Calls

4 calls:

1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
19.0ms	(* (cbrt (log y)) (cbrt (log y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

459.0ms	(cbrt (log y))
410.0ms	(cbrt (log y))
356.0ms	(cbrt (log y))
425.0ms	(* (cbrt (log y)) (cbrt (log y)))

simplify800.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	616
1	148
0	62

prune377.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (pow (pow (log y) 2) 1/3) (* x (cbrt (log y))))
0.5b	(pow (log y) 2)
0.5b	(cbrt (log y))
1.2b	(pow (pow (log y) 2) 1/3)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

30×	`unpow-prod-down`
28×	`add-exp-log`
15×	`prod-exp`
13×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-exp` `add-cube-cbrt`
10×	`add-cbrt-cube`
9×	`pow1`
7×	`pow-to-exp`
6×	`pow-unpow` `cbrt-unprod`
5×	`sqr-pow`
4×	`cbrt-prod` `log-pow` `add-log-exp`
3×	`unpow1/3` `unpow2`
2×	`pow-pow`
1×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 93

Calls

4 calls:

39.0ms	(* (pow (pow (log y) 2) 1/3) (* x (cbrt (log y))))
5.0ms	(pow (log y) 2)
2.0ms	(cbrt (log y))
10.0ms	(pow (pow (log y) 2) 1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (pow (pow (log y) 2) 1/3) (* x (cbrt (log y))))
281.0ms	(pow (log y) 2)
458.0ms	(cbrt (log y))
465.0ms	(pow (pow (log y) 2) 1/3)

simplify955.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1439
1	357
0	125

prune447.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt (pow (log y) 2)) x) (cbrt (log y)))
0.5b	(pow (log y) 2)
0.5b	(cbrt (log y))
0.5b	(cbrt (pow (log y) 2))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod`
14×	`pow1`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-r`
6×	`add-cbrt-cube`
4×	`log-pow` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 70

Calls

4 calls:

27.0ms	(* (* (cbrt (pow (log y) 2)) x) (cbrt (log y)))
2.0ms	(pow (log y) 2)
1.0ms	(cbrt (log y))
2.0ms	(cbrt (pow (log y) 2))

series1.1s

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (* (cbrt (pow (log y) 2)) x) (cbrt (log y)))
212.0ms	(pow (log y) 2)
417.0ms	(cbrt (log y))
388.0ms	(cbrt (pow (log y) 2))

simplify907.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1419
1	274
0	102

prune354.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample2.2s

Algorithm

intervals

Results

509.0ms	8026×	body	80	valid
438.0ms	7918×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid