Details

sample48.0ms

Algorithm

intervals

Results

20.0ms	393×	body	80	valid
6.0ms	133×	body	80	nan

simplify98.0ms

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.3b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.2b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 120

Calls

3 calls:

20.0ms	(* k (+ 10.0 k))
23.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
62.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series243.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* k (+ 10.0 k))
72.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
119.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify64.0ms

Counts: 129 → 129

prune348.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
0.0b	(* (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))) (* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a))
15.0b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
15.0b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-exp-log`
72×	`associate-l`
67×	`add-sqr-sqrt`
66×	`times-frac`
47×	`add-cube-cbrt` `*-un-lft-identity`
40×	`prod-exp`
39×	`sqrt-prod`
30×	`add-cbrt-cube`
25×	`div-exp`
20×	`unpow-prod-down`
13×	`pow1`
12×	`cbrt-unprod`
8×	`sqrt-div` `sqr-pow`
7×	`unswap-sqr`
6×	`cbrt-undiv`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`flip3-+` `associate-r` `pow-prod-down` `associate-*l/` `associate-/r/` `flip-+` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 168

Calls

4 calls:

68.0ms	(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
127.0ms	(* (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))) (* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a))
16.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
16.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series445.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
120.0ms	(* (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))) (* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a))
54.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
56.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify84.0ms

Counts: 180 → 180

prune527.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow k m) (- (* (* k (+ 10.0 k)) (* k (+ 10.0 k))) (* 1.0 1.0)))
0.2b	(* (* k (+ 10.0 k)) (* k (+ 10.0 k)))
5.5b	(* (- (* k (+ 10.0 k)) 1.0) a)
13.5b	(* (/ (pow k m) (- (* (* k (+ 10.0 k)) (* k (+ 10.0 k))) (* 1.0 1.0))) (* (- (* k (+ 10.0 k)) 1.0) a))

rewrite536.0ms

Algorithm

rewrite-expression-head

Rules

56×	`times-frac`
50×	`pow1`
47×	`add-exp-log`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt` `*-un-lft-identity`
38×	`associate-l`
32×	`add-cbrt-cube`
27×	`unpow-prod-down`
21×	`pow-prod-down` `prod-exp`
16×	`associate-*r/`
15×	`cbrt-unprod` `difference-of-squares`
9×	`div-exp` `associate-*l/` `sqr-pow`
7×	`associate-/l*`
6×	`frac-times` `flip3-+` `flip-+`
5×	`flip3--` `associate-r` `flip--`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-/r*` `associate-/r/` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`cbrt-undiv` `pow-to-exp` `pow-exp` `*-commutative`
2×	`pow-plus` `div-inv`
1×	`pow2` `frac-2neg` `swap-sqr` `clear-num` `unswap-sqr`

Counts

4 → 183

Calls

4 calls:

103.0ms	(/ (pow k m) (- (* (* k (+ 10.0 k)) (* k (+ 10.0 k))) (* 1.0 1.0)))
55.0ms	(* (* k (+ 10.0 k)) (* k (+ 10.0 k)))
44.0ms	(* (- (* k (+ 10.0 k)) 1.0) a)
326.0ms	(* (/ (pow k m) (- (* (* k (+ 10.0 k)) (* k (+ 10.0 k))) (* 1.0 1.0))) (* (- (* k (+ 10.0 k)) 1.0) a))

series363.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (pow k m) (- (* (* k (+ 10.0 k)) (* k (+ 10.0 k))) (* 1.0 1.0)))
35.0ms	(* (* k (+ 10.0 k)) (* k (+ 10.0 k)))
42.0ms	(* (- (* k (+ 10.0 k)) 1.0) a)
187.0ms	(* (/ (pow k m) (- (* (* k (+ 10.0 k)) (* k (+ 10.0 k))) (* 1.0 1.0))) (* (- (* k (+ 10.0 k)) 1.0) a))

simplify124.0ms

Counts: 195 → 195

prune505.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.4b

regimes57.0ms

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

822.0ms	11971×	body	80	valid
491.0ms	4194×	body	80	nan