Details

sample121.0ms

Algorithm

intervals

Results

74.0ms	374×	body	80	valid
19.0ms	122×	body	80	nan

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2300
5	639
4	204
3	87
2	47
1	26
0	12

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (* (+ k 10) k) 1) (pow k m))
0.0b	(* (+ k 10) k)
0.7b	(/ a (/ (+ (* (+ k 10) k) 1) (pow k m)))

rewrite82.0ms

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` `insert-posit16` `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 → 191

Calls

3 calls:

41.0ms	(/ (+ (* (+ k 10) k) 1) (pow k m))
18.0ms	(* (+ k 10) k)
19.0ms	(/ a (/ (+ (* (+ k 10) k) 1) (pow k m)))

series289.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (+ (* (+ k 10) k) 1) (pow k m))
54.0ms	(* (+ k 10) k)
154.0ms	(/ a (/ (+ (* (+ k 10) k) 1) (pow k m)))

simplify2.4s

Counts

200 → 200

Iterations

Iter	Nodes
done	5003
2	3028
1	962
0	361

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ a (+ (* (+ k 10) k) 1)) (/ 1 (pow k m)))
0.0b	(* (+ k 10) k)
0.0b	(/ 1 (pow k m))
2.2b	(/ a (+ (* (+ k 10) k) 1))

rewrite454.0ms

Algorithm

rewrite-expression-head

Rules

975×	`times-frac`
438×	`add-sqr-sqrt` `*-un-lft-identity`
436×	`add-cube-cbrt`
156×	`unpow-prod-down`
67×	`add-exp-log`
55×	`associate-/r/`
52×	`sqr-pow`
49×	`div-exp`
45×	`div-inv`
35×	`associate-/r*`
28×	`flip3-+` `flip-+`
22×	`add-cbrt-cube`
21×	`associate-/l*`
10×	`cbrt-undiv`
9×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
6×	`pow1`
4×	`associate-l` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `distribute-lft-out` `inv-pow` `unswap-sqr` `associate-/l/`

Counts

4 → 558

Calls

4 calls:

48.0ms	(/ (/ a (+ (* (+ k 10) k) 1)) (/ 1 (pow k m)))
22.0ms	(* (+ k 10) k)
15.0ms	(/ 1 (pow k m))
23.0ms	(/ a (+ (* (+ k 10) k) 1))

series304.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(/ (/ a (+ (* (+ k 10) k) 1)) (/ 1 (pow k m)))
45.0ms	(* (+ k 10) k)
60.0ms	(/ 1 (pow k m))
54.0ms	(/ a (+ (* (+ k 10) k) 1))

simplify2.3s

Counts

570 → 570

Iterations

Iter	Nodes
done	5000
1	3028
0	920

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ k 10) k)
0.0b	(/ 1 (pow k m))
0.0b	(/ 1 (pow k m))
2.2b	(/ a (+ (* (+ k 10) k) 1))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

51×	`times-frac`
48×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`add-cube-cbrt`
26×	`add-exp-log`
24×	`unpow-prod-down`
17×	`associate-/r*`
13×	`div-exp`
12×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`sqr-pow`
6×	`pow-to-exp` `pow1` `rec-exp` `1-exp` `pow-exp`
4×	`associate-l` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `associate-r` `div-inv`
2×	`flip3-+` `associate-*l/` `associate-/r/` `flip-+` `pow-flip` `inv-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 160

Calls

4 calls:

15.0ms	(* (+ k 10) k)
10.0ms	(/ 1 (pow k m))
6.0ms	(/ 1 (pow k m))
15.0ms	(/ a (+ (* (+ k 10) k) 1))

series265.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (+ k 10) k)
82.0ms	(/ 1 (pow k m))
63.0ms	(/ 1 (pow k m))
61.0ms	(/ a (+ (* (+ k 10) k) 1))

simplify2.9s

Counts

172 → 172

Iterations

Iter	Nodes
done	5050
3	4207
2	1260
1	448
0	211

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
0.7b	(/ a (/ (+ (* (* (+ k 10) (* (cbrt k) (cbrt k))) (cbrt k)) 1) (pow k m)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
89×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
36×	`unpow-prod-down`
25×	`associate-/r*`
14×	`add-exp-log`
12×	`sqr-pow`
9×	`cbrt-prod` `add-cbrt-cube`
7×	`div-exp`
5×	`div-inv`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `associate-/l*`
1×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp` `associate-/r/`

Counts

4 → 157

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(cbrt k)
98.0ms	(/ a (/ (+ (* (* (+ k 10) (* (cbrt k) (cbrt k))) (cbrt k)) 1) (pow k m)))

series1.1s

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt k)
297.0ms	(cbrt k)
276.0ms	(cbrt k)
191.0ms	(/ a (/ (+ (* (* (+ k 10) (* (cbrt k) (cbrt k))) (cbrt k)) 1) (pow k m)))

simplify2.0s

Counts

169 → 169

Iterations

Iter	Nodes
done	5007
2	2773
1	835
0	317

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.0s	12055×	body	80	valid
648.0ms	4268×	body	80	nan