Details

sample54.0ms

Algorithm

intervals

Results

20.0ms	388×	body	80	valid
12.0ms	148×	body	80	nan

simplify99.0ms

Counts: 1 → 1

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
2.3b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log`
7×	`add-cbrt-cube` `add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `sum-log`
2×	`pow1` `cbrt-undiv` `flip3-+` `associate-/r/` `flip-+`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `frac-2neg` `pow-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 38

Calls

2 calls:

22.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
45.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
135.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify40.0ms

Counts: 44 → 44

prune116.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* k (+ 10.0 k)) 1.0)
0.0b	(* k (+ 10.0 k))
0.0b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
2.4b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

12.0ms	(+ (* k (+ 10.0 k)) 1.0)
22.0ms	(* k (+ 10.0 k))
24.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
64.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series263.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* k (+ 10.0 k)) 1.0)
47.0ms	(* k (+ 10.0 k))
79.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
116.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify70.0ms

Counts: 145 → 145

prune398.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.1b	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
14.4b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
14.4b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-sqr-sqrt`
92×	`times-frac`
52×	`sqrt-prod`
48×	`associate-r`
46×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
24×	`unpow-prod-down` `associate-l`
21×	`unswap-sqr`
16×	`add-cbrt-cube`
12×	`sqr-pow`
10×	`div-exp`
9×	`add-log-exp`
8×	`pow1` `sqrt-div` `prod-exp`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod`
3×	`sum-log`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `div-inv`
1×	`+-commutative` `frac-times` `associate-+l+` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 160

Calls

4 calls:

25.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
148.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
24.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
28.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
133.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
55.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
50.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify92.0ms

Counts: 172 → 172

prune486.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 2.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
0.3b	(/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
14.4b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
14.4b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
72×	`sqrt-prod`
59×	`add-sqr-sqrt`
57×	`add-cube-cbrt` `*-un-lft-identity`
30×	`add-exp-log`
22×	`sqrt-div`
18×	`associate-/r/` `add-cbrt-cube`
13×	`div-exp` `associate-/l*`
12×	`associate-/r*`
11×	`flip3-+` `flip-+`
9×	`div-inv`
7×	`cbrt-undiv`
6×	`pow1` `prod-exp`
4×	`add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-exp` `clear-num` `cbrt-unprod`
1×	`associate-/l/`

Counts

4 → 172

Calls

4 calls:

76.0ms	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
35.0ms	(/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
22.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
33.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
177.0ms	(/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
53.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
54.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify88.0ms

Counts: 184 → 184

prune487.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 2.3b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	11952×	body	80	valid
245.0ms	4230×	body	80	nan