Details

sample118.0ms

Algorithm

intervals

Results

48.0ms	684×	body	80	nan
18.0ms	257×	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 2 expressions with local error:

0.0b	(- (* x (log y)) y)
0.4b	(* x (log y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

11.0ms	(- (* x (log y)) y)
9.0ms	(* x (log y))

series150.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(- (* x (log y)) y)
67.0ms	(* x (log y))

simplify1.5s

Counts

49 → 49

Iterations

Useful iterations: 3 (389.0ms)

Iter	Nodes	Cost
0	89	402
1	185	381
2	461	351
3	2081	334
done	5001	334

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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)

rewrite49.0ms

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:

20.0ms	(* (* 2 (log (cbrt y))) x)
24.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series767.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (* 2 (log (cbrt y))) x)
164.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
200.0ms	(cbrt y)
203.0ms	(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

prune725.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (pow (/ 1 y) -1/3)))
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (pow (/ 1 y) -1/3))))
0.6b	(cbrt y)
4.9b	(pow (/ 1 y) -1/3)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

68×	`log-prod`
65×	`unpow-prod-down`
49×	`add-sqr-sqrt`
47×	`add-cube-cbrt` `*-un-lft-identity`
45×	`times-frac`
34×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
11×	`add-exp-log`
8×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
5×	`div-inv` `sqr-pow`
4×	`associate-r` `pow-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-l`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

17.0ms	(* x (log (pow (/ 1 y) -1/3)))
39.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (pow (/ 1 y) -1/3))))
1.0ms	(cbrt y)
11.0ms	(pow (/ 1 y) -1/3)

series969.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* x (log (pow (/ 1 y) -1/3)))
281.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (pow (/ 1 y) -1/3))))
260.0ms	(cbrt y)
305.0ms	(pow (/ 1 y) -1/3)

simplify1.8s

Counts

153 → 153

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	269	2267
1	718	1894
2	2750	1524
done	5001	1431

prune679.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
18×	`cbrt-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
11×	`pow1`
10×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-log-exp`
5×	`associate-r`
4×	`log-pow`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `associate-l` `*-commutative` `flip--`

Counts

4 → 83

Calls

4 calls:

2.0ms	(log (cbrt y))
22.0ms	(- (* (* 3 x) (log (cbrt y))) y)
26.0ms	(* (* 3 x) (log (cbrt y)))
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

434.0ms	(log (cbrt y))
204.0ms	(- (* (* 3 x) (log (cbrt y))) y)
125.0ms	(* (* 3 x) (log (cbrt y)))
271.0ms	(cbrt y)

simplify1.4s

Counts

95 → 95

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	124	944
1	317	886
2	1591	683
done	5000	677

prune390.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes412.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	23
1	27	23
done	27	23

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.0s	24301×	body	80	nan
1.1s	8040×	body	80	valid
1.0ms	1×	body	1280	valid