Details

sample62.0ms

Algorithm

intervals

Results

34.0ms	381×	body	80	valid
12.0ms	149×	body	80	nan

simplify1.0s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize22.0ms

Local error

Found 3 expressions with local error:

4.6b	(/ a (+ (* k (+ k 10)) 1))
0.0b	(* k (+ k 10))
0.0b	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
21×	`times-frac`
20×	`add-exp-log`
18×	`associate-l`
12×	`add-cbrt-cube`
11×	`associate-r`
7×	`prod-exp` `unswap-sqr`
5×	`pow1` `unpow-prod-down`
4×	`div-exp` `associate-/r/`
3×	`associate-/r` `flip3-+` `cbrt-unprod` `flip-+` `insert-posit16` `associate-/l` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `cbrt-undiv` `pow-exp` `associate-r/` `-commutative` `div-inv`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-*l/` `distribute-lft-out`

Counts

3 → 100

Calls

3 calls:

Slowest

54.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))
34.0ms	(/ a (+ (* k (+ k 10)) 1))
17.0ms	(* k (+ k 10))

series331.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

179.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))
76.0ms	(/ a (+ (* k (+ k 10)) 1))
76.0ms	(* k (+ k 10))

simplify857.0ms

Counts: 126 → 109

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 2.8b

localize29.0ms

Local error

Found 3 expressions with local error:

4.6b	(/ a (+ (* k (+ k 10)) 1))
0.0b	(* (* (/ a (+ (* k (+ k 10)) 1)) (pow k (/ m 2))) (pow k (/ m 2)))
0.0b	(* k (+ k 10))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-exp-log`
40×	`prod-exp`
17×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cbrt-cube`
15×	`add-cube-cbrt`
13×	`pow-to-exp` `pow-exp`
11×	`associate-r`
10×	`div-exp`
9×	`times-frac`
6×	`cbrt-unprod`
5×	`pow1`
4×	`associate-l`
3×	`associate-/r` `unpow-prod-down` `insert-posit16` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `flip3-+` `associate-l/` `associate-r/` `associate-/r/` `*-commutative` `flip-+`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `div-inv` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

3 → 96

Calls

3 calls:

Slowest

80.0ms	(* (* (/ a (+ (* k (+ k 10)) 1)) (pow k (/ m 2))) (pow k (/ m 2)))
25.0ms	(/ a (+ (* k (+ k 10)) 1))
12.0ms	(* k (+ k 10))

series305.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

185.0ms	(* (* (/ a (+ (* k (+ k 10)) 1)) (pow k (/ m 2))) (pow k (/ m 2)))
65.0ms	(* k (+ k 10))
55.0ms	(/ a (+ (* k (+ k 10)) 1))

simplify885.0ms

Counts: 116 → 105

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 2.8b

localize24.0ms

Local error

Found 4 expressions with local error:

12.6b	(sqrt (+ (* k (+ k 10)) 1))
12.6b	(sqrt (+ (* k (+ k 10)) 1))
0.1b	(/ (/ a (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
0.0b	(/ a (sqrt (+ (* k (+ k 10)) 1)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`*-un-lft-identity` `add-cube-cbrt`
156×	`sqrt-prod`
27×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`associate-/r*`
11×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/l/`

Counts

4 → 266

Calls

4 calls:

Slowest

39.0ms	(/ (/ a (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
18.0ms	(sqrt (+ (* k (+ k 10)) 1))
18.0ms	(/ a (sqrt (+ (* k (+ k 10)) 1)))
10.0ms	(sqrt (+ (* k (+ k 10)) 1))

series229.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

93.0ms	(/ a (sqrt (+ (* k (+ k 10)) 1)))
60.0ms	(/ (/ a (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
42.0ms	(sqrt (+ (* k (+ k 10)) 1))
35.0ms	(sqrt (+ (* k (+ k 10)) 1))

simplify554.0ms

Counts: 448 → 278

prune3.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 2.8b

localize33.0ms

Local error

Found 4 expressions with local error:

30.9b	(cbrt (* (* (* (+ 10 k) k) (* (+ 10 k) k)) (* (+ 10 k) k)))
4.6b	(/ a (+ (cbrt (* (* (* (+ 10 k) k) (* (+ 10 k) k)) (* (+ 10 k) k))) 1))
0.2b	(* (* (+ 10 k) k) (* (+ 10 k) k))
0.1b	(* (* (* (+ 10 k) k) (* (+ 10 k) k)) (* (+ 10 k) k))

rewrite465.0ms

Algorithm

rewrite-expression-head

Rules

198×	`pow1`
150×	`associate-*l/`
86×	`pow-prod-down`
61×	`flip3-+` `flip-+`
60×	`frac-times`
59×	`add-cbrt-cube` `add-exp-log`
39×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
26×	`cbrt-div`
21×	`*-un-lft-identity`
19×	`pow-plus`
18×	`associate-*r/`
16×	`pow-sqr`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
4×	`pow2` `associate-/r*` `insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`associate-r` `associate-l` `pow3` `associate-/r/` `*-commutative`
1×	`cbrt-prod` `cbrt-undiv` `clear-num` `frac-2neg` `pow1/3` `swap-sqr` `div-exp` `rem-cbrt-cube` `div-inv`

Counts

4 → 215

Calls

4 calls:

Slowest

187.0ms	(* (* (* (+ 10 k) k) (* (+ 10 k) k)) (* (+ 10 k) k))
185.0ms	(cbrt (* (* (* (+ 10 k) k) (* (+ 10 k) k)) (* (+ 10 k) k)))
49.0ms	(* (* (+ 10 k) k) (* (+ 10 k) k))
37.0ms	(/ a (+ (cbrt (* (* (* (+ 10 k) k) (* (+ 10 k) k)) (* (+ 10 k) k))) 1))

series345.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

198.0ms	(/ a (+ (cbrt (* (* (* (+ 10 k) k) (* (+ 10 k) k)) (* (+ 10 k) k))) 1))
81.0ms	(cbrt (* (* (* (+ 10 k) k) (* (+ 10 k) k)) (* (+ 10 k) k)))
38.0ms	(* (* (* (+ 10 k) k) (* (+ 10 k) k)) (* (+ 10 k) k))
28.0ms	(* (* (+ 10 k) k) (* (+ 10 k) k))

simplify478.0ms

Counts: 282 → 227

prune2.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 2.8b

regimes135.0ms

Accuracy

0% (0.0b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 2.0b

bsearch4.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.0s	12055×	body	80	valid
520.0ms	4249×	body	80	nan