Details

sample92.0ms

Algorithm

intervals

Results

36.0ms	387×	body	80	valid
10.0ms	122×	body	80	nan

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1406
4	257
3	96
2	48
1	24
0	12

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (* k (+ k 10.0)) 1.0) (pow k m))
0.0b	(* k (+ k 10.0))
2.5b	(/ a (/ (+ (* k (+ k 10.0)) 1.0) (pow k m)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
105×	`add-sqr-sqrt` `*-un-lft-identity`
103×	`add-cube-cbrt`
48×	`unpow-prod-down`
32×	`associate-/r*`
20×	`add-exp-log`
16×	`sqr-pow`
12×	`add-cbrt-cube`
10×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `associate-r`
3×	`associate-l` `add-log-exp`
2×	`pow-to-exp` `clear-num` `frac-2neg` `flip3-+` `pow-exp` `associate-*r/` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 190

Calls

3 calls:

54.0ms	(/ (+ (* k (+ k 10.0)) 1.0) (pow k m))
16.0ms	(* k (+ k 10.0))
38.0ms	(/ a (/ (+ (* k (+ k 10.0)) 1.0) (pow k m)))

series324.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(/ (+ (* k (+ k 10.0)) 1.0) (pow k m))
64.0ms	(* k (+ k 10.0))
150.0ms	(/ a (/ (+ (* k (+ k 10.0)) 1.0) (pow k m)))

simplify1.5s

Counts

199 → 199

Iterations

Iter	Nodes
done	5000
1	1026
0	366

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (* (+ k 10.0) k) 1.0) (pow k m))
0.0b	(* (+ k 10.0) k)
2.5b	(/ a (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
105×	`add-sqr-sqrt` `*-un-lft-identity`
103×	`add-cube-cbrt`
48×	`unpow-prod-down`
32×	`associate-/r*`
20×	`add-exp-log`
16×	`sqr-pow`
12×	`add-cbrt-cube`
10×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `associate-l`
3×	`associate-r` `add-log-exp`
2×	`pow-to-exp` `clear-num` `frac-2neg` `flip3-+` `associate-*l/` `pow-exp` `flip-+` `associate-/l/`
1×	`pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 188

Calls

3 calls:

35.0ms	(/ (+ (* (+ k 10.0) k) 1.0) (pow k m))
26.0ms	(* (+ k 10.0) k)
21.0ms	(/ a (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))

series301.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ (+ (* (+ k 10.0) k) 1.0) (pow k m))
64.0ms	(* (+ k 10.0) k)
158.0ms	(/ a (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))

simplify1.3s

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
1	990
0	364

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (+ k 10.0) k) 1.0) (pow k m))
0.0b	(* (+ k 10.0) k)
0.3b	(/ 1 (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))
2.5b	(* a (/ 1 (/ (+ (* (+ k 10.0) k) 1.0) (pow k m))))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

332×	`times-frac`
201×	`add-sqr-sqrt`
179×	`*-un-lft-identity`
173×	`add-cube-cbrt`
83×	`associate-r`
77×	`unpow-prod-down`
69×	`add-exp-log`
37×	`div-exp`
32×	`associate-/r*`
27×	`sqr-pow`
22×	`add-cbrt-cube`
14×	`prod-exp`
10×	`div-inv` `unswap-sqr`
9×	`pow1`
8×	`rec-exp` `1-exp`
7×	`pow-to-exp` `cbrt-undiv` `associate-l` `pow-exp`
6×	`associate-/l*`
4×	`cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `flip-+` `associate-/l/`
1×	`associate-*r/` `un-div-inv` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 317

Calls

4 calls:

57.0ms	(/ (+ (* (+ k 10.0) k) 1.0) (pow k m))
35.0ms	(* (+ k 10.0) k)
38.0ms	(/ 1 (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))
69.0ms	(* a (/ 1 (/ (+ (* (+ k 10.0) k) 1.0) (pow k m))))

series444.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (+ (* (+ k 10.0) k) 1.0) (pow k m))
66.0ms	(* (+ k 10.0) k)
96.0ms	(/ 1 (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))
187.0ms	(* a (/ 1 (/ (+ (* (+ k 10.0) k) 1.0) (pow k m))))

simplify1.2s

Counts

329 → 329

Iterations

Iter	Nodes
done	5001
1	1400
0	476

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ k 10.0) k)
0.1b	(/ (/ a (sqrt (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))) (sqrt (/ (+ (* (+ k 10.0) k) 1.0) (pow k m))))
10.1b	(sqrt (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))
10.1b	(sqrt (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))

rewrite912.0ms

Algorithm

rewrite-expression-head

Rules

8693×	`times-frac`
4475×	`sqrt-prod`
3544×	`add-sqr-sqrt`
3532×	`*-un-lft-identity`
3530×	`add-cube-cbrt`
1613×	`unpow-prod-down`
539×	`sqr-pow`
209×	`div-inv`
89×	`associate-/l*`
32×	`sqrt-div`
30×	`associate-/r/`
28×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `rem-sqrt-square`
4×	`associate-l` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r`
2×	`sqrt-pow1` `pow1/2` `associate-*l/`
1×	`clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr` `associate-/l/`

Counts

4 → 2724

Calls

4 calls:

16.0ms	(* (+ k 10.0) k)
137.0ms	(/ (/ a (sqrt (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))) (sqrt (/ (+ (* (+ k 10.0) k) 1.0) (pow k m))))
300.0ms	(sqrt (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))
16.0ms	(sqrt (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))

series552.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (+ k 10.0) k)
165.0ms	(/ (/ a (sqrt (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))) (sqrt (/ (+ (* (+ k 10.0) k) 1.0) (pow k m))))
139.0ms	(sqrt (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))
165.0ms	(sqrt (/ (+ (* (+ k 10.0) k) 1.0) (pow k m)))

simplify6.1s

Counts

2736 → 2736

Iterations

Iter	Nodes
done	5000
0	4287

prune24.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes200.0ms

Accuracy

98.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.0b

bsearch76.0ms

Steps

Iters	Range		Point
6	3.4349050748812333e+109	1.905314630223606e+110	3.8998864630604305e+109

simplify2.1s

Iterations

Iter	Nodes
done	5000
6	1873
5	692
4	274
3	106
2	55
1	48
0	34

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s	12002×	body	80	valid
277.0ms	4131×	body	80	nan