Details

sample171.0ms

Algorithm

intervals

Results

70.0ms	856×	body	80	nan
22.0ms	256×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	113	11
4	473	11
5	2030	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite231.0ms

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:

10.0ms	(- (* x (log y)) y)
202.0ms	(+ (- (- (* x (log y)) y) z) (log t))
15.0ms	(* x (log y))

series206.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- (* x (log y)) y)
61.0ms	(+ (- (- (* x (log y)) y) z) (log t))
58.0ms	(* x (log y))

simplify775.0ms

Counts

83 → 83

Iterations

Useful iterations: done (771.0ms)

Iter	Nodes	Cost
0	148	857
1	346	828
2	1208	764
done	5001	736

prune276.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `associate-+r+` `log-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 63

Calls

4 calls:

21.0ms	(* (* 2 (log (cbrt y))) x)
34.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (* 2 (log (cbrt y))) x)
497.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
274.0ms	(cbrt y)
240.0ms	(cbrt y)

simplify1.4s

Counts

75 → 75

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	123	811
1	322	735
2	1610	584
done	5000	575

prune443.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (pow y 1/3)))
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (pow y 1/3))))
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`unpow-prod-down`
14×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
4×	`associate-r`
3×	`cbrt-prod` `pow-unpow` `associate-l`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

23.0ms	(* x (log (pow y 1/3)))
44.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (pow y 1/3))))
1.0ms	(cbrt y)
5.0ms	(pow y 1/3)

series985.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* x (log (pow y 1/3)))
287.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (pow y 1/3))))
278.0ms	(cbrt y)
311.0ms	(pow y 1/3)

simplify787.0ms

Counts

99 → 99

Iterations

Useful iterations: done (782.0ms)

Iter	Nodes	Cost
0	160	1114
1	413	928
2	1463	798
done	5000	751

prune619.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.5s

Counts

4 → 12

Calls

4 calls:

449.0ms	(cbrt (cbrt y))
426.0ms	(cbrt (cbrt y))
304.0ms	(cbrt y)
305.0ms	(cbrt y)

simplify2.1s

Counts

62 → 62

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	42	346
1	78	328
2	189	300
3	650	288
4	2535	288
done	5002	288

prune411.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes570.0ms

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	18	21
1	23	21
done	23	21

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.4s	24531×	body	80	nan
812.0ms	8030×	body	80	valid
0.0ms	1×	body	160	valid