Details

sample62.0ms

Algorithm

intervals

Results

26.0ms	383×	body	80	valid
9.0ms	145×	body	80	nan

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	12	455
1	24	455
2	45	415
3	85	415
4	203	415
5	627	415
6	2078	415
done	5003	415

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
1.5b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite119.0ms

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`
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 → 74

Calls

4 calls:

11.0ms	(+ 1.0 (* 10.0 k))
19.0ms	(* a (pow k m))
35.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
50.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ 1.0 (* 10.0 k))
78.0ms	(* a (pow k m))
20.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
163.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify2.1s

Counts

86 → 86

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	169	32960
1	463	29289
2	1581	27489
done	5003	26759

prune570.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.4b

localize59.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
1.5b	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
30×	`prod-exp`
16×	`div-exp`
13×	`add-cbrt-cube`
11×	`pow-exp`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow-to-exp`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `times-frac` `pow1/3` `cbrt-unprod`
2×	`associate-/r/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt k)
2.0ms	(cbrt k)
2.0ms	(cbrt k)
74.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series1.4s

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt k)
296.0ms	(cbrt k)
210.0ms	(cbrt k)
562.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify2.8s

Counts

83 → 83

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	172	46901
1	498	39862
2	1958	38622
done	5000	37952

prune485.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.4b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
0.0b	(* k (+ 10.0 k))
1.5b	(* a (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 120

Calls

3 calls:

20.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
16.0ms	(* k (+ 10.0 k))
66.0ms	(* a (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))

series321.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
47.0ms	(* k (+ 10.0 k))
173.0ms	(* a (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))

simplify2.2s

Counts

129 → 129

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	240	64281
1	643	58811
2	2227	57563
done	5002	57213

prune926.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.4b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
11.9b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
11.9b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
30.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
31.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series718.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt k)
281.0ms	(cbrt k)
66.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
89.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify2.2s

Counts

64 → 64

Iterations

Useful iterations: 3 (739.0ms)

Iter	Nodes	Cost
0	80	17196
1	179	15144
2	557	14742
3	2074	14422
done	5000	14422

prune510.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.4b

regimes154.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 2.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	905
1	23	905
done	23	905

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s	12019×	body	80	valid
359.0ms	4245×	body	80	nan