Details

sample38.0ms

Algorithm

intervals

Results

15.0ms	381×	body	80	valid
4.0ms	126×	body	80	nan

simplify106.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	24	7
1	48	7
2	96	6
3	256	6
4	891	6
5	3963	6
6	5002	6
done	5002	6

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* k (+ 10.0 k)) 1.0)
0.0b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.8b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
44×	`add-sqr-sqrt`
34×	`add-cube-cbrt` `*-un-lft-identity`
27×	`associate-l`
22×	`unpow-prod-down`
18×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`sqr-pow`
7×	`associate-/l*`
6×	`div-exp`
5×	`pow1` `add-log-exp`
4×	`prod-exp` `associate-/r/` `unswap-sqr`
3×	`flip3-+` `associate-r` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `pow-to-exp` `associate-+l+` `pow-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative`

Counts

3 → 110

Calls

3 calls:

12.0ms	(+ (* k (+ 10.0 k)) 1.0)
23.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
58.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series202.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* k (+ 10.0 k)) 1.0)
72.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
111.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify59.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	536	1107
1	2081	1040
2	5001	1033
done	5001	1033

prune321.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* k (+ 10.0 k)) 1.0)
4.0b	(/ a (+ (* k (+ 10.0 k)) 1.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `associate-+l+` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 42

Calls

2 calls:

11.0ms	(+ (* k (+ 10.0 k)) 1.0)
20.0ms	(/ a (+ (* k (+ 10.0 k)) 1.0))

series86.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (* k (+ 10.0 k)) 1.0)
68.0ms	(/ a (+ (* k (+ 10.0 k)) 1.0))

simplify114.0ms

Counts

48 → 48

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	221	340
1	830	314
2	4227	311
3	5002	311
done	5002	311

prune126.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0)))
0.1b	(* (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ a (sqrt (+ (* k (+ 10.0 k)) 1.0))))
19.0b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
19.0b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
76×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt` `sqrt-prod`
30×	`add-exp-log`
24×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
10×	`pow1` `sqrt-div` `div-exp`
8×	`prod-exp`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`rec-exp` `pow-flip` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `associate-/l*`
2×	`rem-sqrt-square`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 164

Calls

4 calls:

24.0ms	(/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0)))
110.0ms	(* (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ a (sqrt (+ (* k (+ 10.0 k)) 1.0))))
16.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
16.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series210.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0)))
41.0ms	(* (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ a (sqrt (+ (* k (+ 10.0 k)) 1.0))))
53.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
47.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify75.0ms

Counts

176 → 176

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	644	2072
1	3193	1841
2	5002	1692
done	5002	1692

prune410.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 1.7b

regimes44.0ms

Accuracy

0% (0.0b remaining)

Error of 2.1b against oracle of 2.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6
done	15	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

478.0ms	11858×	body	80	valid
145.0ms	4362×	body	80	nan