Details

sample116.0ms

Algorithm

intervals

Results

46.0ms	370×	body	80	valid
16.0ms	145×	body	80	nan

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	2078
5	627
4	203
3	85
2	45
1	24
0	12

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize119.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(* a (pow k m))
0.0b	(+ 1.0 (* 10.0 k))
2.7b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-log-exp`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`prod-exp`
4×	`pow1` `sum-log` `unpow-prod-down` `div-exp` `insert-posit16`
3×	`associate-/r` `flip3-+` `times-frac` `associate-l*` `flip-+` `unswap-sqr`
2×	`pow-to-exp` `cbrt-undiv` `+-commutative` `pow-exp` `associate-/r/` `cbrt-unprod` `sqr-pow`
1×	`associate-+l+` `clear-num` `frac-2neg` `-commutative` `div-inv` `associate-/l`

Counts

4 → 78

Calls

4 calls:

59.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
28.0ms	(* a (pow k m))
14.0ms	(+ 1.0 (* 10.0 k))
69.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series520.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
144.0ms	(* a (pow k m))
40.0ms	(+ 1.0 (* 10.0 k))
294.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify3.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1615
1	467
0	173

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize84.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1.0 (* k (+ k 10.0))) (pow k m))
0.0b	(+ 1.0 (* k (+ k 10.0)))
2.7b	(/ a (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
48×	`unpow-prod-down`
32×	`associate-/r*`
18×	`add-exp-log`
16×	`sqr-pow`
10×	`add-cbrt-cube` `div-exp`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv`
3×	`pow1` `insert-posit16`
2×	`pow-to-exp` `associate-+r+` `clear-num` `frac-2neg` `flip3-+` `pow-exp` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `associate-/r/`

Counts

3 → 183

Calls

3 calls:

82.0ms	(/ (+ 1.0 (* k (+ k 10.0))) (pow k m))
12.0ms	(+ 1.0 (* k (+ k 10.0)))
38.0ms	(/ a (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)))

series546.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(/ (+ 1.0 (* k (+ k 10.0))) (pow k m))
39.0ms	(+ 1.0 (* k (+ k 10.0)))
367.0ms	(/ a (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)))

simplify6.7s

Counts

192 → 192

Iterations

Iter	Nodes
done	5007
2	3378
1	938
0	350

prune2.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 (* k (+ k 10.0))) (pow k m))
0.0b	(+ 1.0 (* k (+ k 10.0)))
0.1b	(/ 1 (/ (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)) a))
2.6b	(/ (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)) a)

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

969×	`times-frac`
454×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
156×	`unpow-prod-down`
89×	`associate-/r*`
57×	`add-exp-log`
52×	`sqr-pow`
41×	`div-exp`
31×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow-to-exp` `pow1` `rec-exp` `1-exp` `pow-exp`
4×	`insert-posit16`
3×	`clear-num` `frac-2neg` `associate-/l/`
2×	`associate-+r+` `flip3-+` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 534

Calls

4 calls:

81.0ms	(/ (+ 1.0 (* k (+ k 10.0))) (pow k m))
12.0ms	(+ 1.0 (* k (+ k 10.0)))
85.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)) a))
112.0ms	(/ (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)) a)

series667.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(/ (+ 1.0 (* k (+ k 10.0))) (pow k m))
24.0ms	(+ 1.0 (* k (+ k 10.0)))
229.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)) a))
271.0ms	(/ (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)) a)

simplify6.1s

Counts

546 → 546

Iterations

Iter	Nodes
done	5000
1	2359
0	829

prune7.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize175.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
1.0b	(/ (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)) (cbrt a))
1.7b	(/ (* (cbrt a) (cbrt a)) (/ (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)) (cbrt a)))

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

1003×	`times-frac`
426×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
234×	`cbrt-prod`
171×	`unpow-prod-down`
160×	`associate-/r*`
57×	`sqr-pow`
51×	`add-exp-log`
31×	`div-exp`
26×	`associate-/l*`
23×	`div-inv`
18×	`add-cbrt-cube`
15×	`cbrt-undiv`
5×	`prod-exp`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `pow1/3`
1×	`associate-/r/` `associate-/l/`

Counts

4 → 560

Calls

4 calls:

5.0ms	(cbrt a)
5.0ms	(cbrt a)
145.0ms	(/ (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)) (cbrt a))
121.0ms	(/ (* (cbrt a) (cbrt a)) (/ (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)) (cbrt a)))

series1.4s

Counts

4 → 12

Calls

4 calls:

361.0ms	(cbrt a)
302.0ms	(cbrt a)
401.0ms	(/ (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)) (cbrt a))
304.0ms	(/ (* (cbrt a) (cbrt a)) (/ (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)) (cbrt a)))

simplify6.8s

Counts

572 → 572

Iterations

Iter	Nodes
done	5000
1	2612
0	860

prune8.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes669.0ms

Accuracy

97.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.2b

bsearch117.0ms

Steps

Iters	Range		Point
8	15765.767772608659	36490366.14863611	3307771.335745201

simplify44.0ms

Iterations

Iter	Nodes
done	65
4	65
3	63
2	58
1	50
0	34

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.7s	12009×	body	80	valid
361.0ms	4173×	body	80	nan