Details

sample54.0ms

Algorithm

intervals

Results

22.0ms	370×	body	80	valid
6.0ms	113×	body	80	nan

simplify1.8s

Counts: 1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
3.0b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite95.0ms

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:

28.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
64.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series203.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
184.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify612.0ms

Counts: 44 → 44

prune196.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
3.0b	(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
101×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`unpow-prod-down`
32×	`associate-/r*`
18×	`add-exp-log`
16×	`sqr-pow`
10×	`div-exp` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `frac-2neg` `flip3-+` `pow-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `associate-/r/`

Counts

3 → 180

Calls

3 calls:

96.0ms	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
38.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
75.0ms	(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

series299.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
32.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
152.0ms	(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

simplify1.6s

Counts: 189 → 189

prune860.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.0b	(/ (- (+ 1.0 (* k (+ 10.0 k)))) (- (pow k m)))
3.0b	(/ a (/ (- (+ 1.0 (* k (+ 10.0 k)))) (- (pow k m))))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

1452×	`times-frac`
724×	`add-sqr-sqrt` `*-un-lft-identity`
722×	`add-cube-cbrt`
630×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
306×	`unpow-prod-down`
202×	`associate-/r*`
142×	`neg-mul-1`
102×	`sqr-pow`
13×	`associate-/l*`
12×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `div-exp` `associate-r`
3×	`associate-l` `add-log-exp`
2×	`frac-2neg` `flip3-+` `associate-*r/` `clear-num` `flip-+` `associate-/l/` `distribute-neg-frac`
1×	`neg-sub0` `distribute-rgt-in` `distribute-lft-in` `div-sub` `distribute-frac-neg` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 1001

Calls

3 calls:

24.0ms	(* k (+ 10.0 k))
38.0ms	(/ (- (+ 1.0 (* k (+ 10.0 k)))) (- (pow k m)))
107.0ms	(/ a (/ (- (+ 1.0 (* k (+ 10.0 k)))) (- (pow k m))))

series349.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* k (+ 10.0 k))
119.0ms	(/ (- (+ 1.0 (* k (+ 10.0 k)))) (- (pow k m)))
177.0ms	(/ a (/ (- (+ 1.0 (* k (+ 10.0 k)))) (- (pow k m))))

simplify1.7s

Counts: 1010 → 1010

prune4.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
18.3b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
18.3b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `flip-+`

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt k)
2.0ms	(cbrt k)
45.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
47.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series773.0ms

Counts

4 → 12

Calls

4 calls:

326.0ms	(cbrt k)
302.0ms	(cbrt k)
78.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
67.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.0s

Counts: 64 → 64

prune444.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 3.0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

Error of 2.2b against oracle of 2.1b and baseline of 2.2b

bsearch0.0ms

simplify1.0s

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.5s	11934×	body	80	valid
341.0ms	4070×	body	80	nan