Details

sample38.0ms

Algorithm

intervals

Results

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

simplify101.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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)

rewrite91.0ms

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:

11.0ms	(+ (* k (+ 10.0 k)) 1.0)
22.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
54.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series198.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* k (+ 10.0 k)) 1.0)
71.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
107.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify57.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (47.0ms)

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

prune318.0ms

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) a)
1.7b	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

14.0ms	(+ (* k (+ 10.0 k)) 1.0)
11.0ms	(* (pow k m) a)
25.0ms	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

series229.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* k (+ 10.0 k)) 1.0)
100.0ms	(* (pow k m) a)
110.0ms	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

simplify49.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	381	494
1	1669	439
2	5001	435
done	5001	435

prune169.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.7b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

146×	`add-sqr-sqrt`
134×	`times-frac`
76×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
48×	`associate-l`
45×	`unpow-prod-down`
33×	`add-exp-log`
24×	`associate-r`
21×	`unswap-sqr`
19×	`sqr-pow`
18×	`add-cbrt-cube`
13×	`div-exp`
10×	`sqrt-div`
8×	`pow1` `prod-exp`
7×	`associate-/l*`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 218

Calls

4 calls:

23.0ms	(/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
115.0ms	(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ a (sqrt (+ (* k (+ 10.0 k)) 1.0))))
15.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
19.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series328.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
111.0ms	(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ a (sqrt (+ (* k (+ 10.0 k)) 1.0))))
54.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
48.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify92.0ms

Counts

230 → 230

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	870	3257
1	3639	3044
2	5001	2962
done	5001	2962

prune616.0ms

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

474.0ms	11858×	body	80	valid
141.0ms	4362×	body	80	nan