Details

sample34.0ms

Algorithm

intervals

Results

15.0ms	372×	body	80	valid
5.0ms	139×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	12	15
1	24	15
2	52	13
3	103	12
4	244	12
5	718	12
6	2693	12
done	5000	12

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma k (+ 10.0 k) 1.0)
0.0b	(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k m))
4.1b	(/ a (fma k (+ 10.0 k) 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
21×	`times-frac`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
13×	`associate-l`
10×	`add-cbrt-cube`
7×	`associate-r`
6×	`prod-exp` `unswap-sqr`
5×	`unpow-prod-down`
4×	`div-exp`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp` `sqr-pow`
2×	`cbrt-undiv` `pow-to-exp` `pow-exp` `cbrt-unprod` `div-inv`
1×	`frac-2neg` `associate-l/` `clear-num` `-commutative` `fma-udef`

Counts

3 → 84

Calls

3 calls:

0.0ms	(fma k (+ 10.0 k) 1.0)
14.0ms	(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k m))
2.0ms	(/ a (fma k (+ 10.0 k) 1.0))

series192.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(fma k (+ 10.0 k) 1.0)
110.0ms	(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k m))
59.0ms	(/ a (fma k (+ 10.0 k) 1.0))

simplify645.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	175	1476
1	427	1427
2	1712	1309
done	5000	1309

prune304.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
4.1b	(/ a (fma k (+ 10.0 k) 1.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 68

Calls

4 calls:

0.0ms	(cbrt k)
0.0ms	(cbrt k)
0.0ms	(cbrt k)
2.0ms	(/ a (fma k (+ 10.0 k) 1.0))

series590.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt k)
171.0ms	(cbrt k)
169.0ms	(cbrt k)
61.0ms	(/ a (fma k (+ 10.0 k) 1.0))

simplify1.1s

Counts

80 → 80

Iterations

Useful iterations: 3 (276.0ms)

Iter	Nodes	Cost
0	100	682
1	192	660
2	597	606
3	2534	594
done	5000	594

prune278.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
14.7b	(sqrt (fma k (+ 10.0 k) 1.0))
14.7b	(sqrt (fma k (+ 10.0 k) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

0.0ms	(cbrt k)
0.0ms	(cbrt k)
1.0ms	(sqrt (fma k (+ 10.0 k) 1.0))
1.0ms	(sqrt (fma k (+ 10.0 k) 1.0))

series459.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt k)
173.0ms	(cbrt k)
55.0ms	(sqrt (fma k (+ 10.0 k) 1.0))
51.0ms	(sqrt (fma k (+ 10.0 k) 1.0))

simplify501.0ms

Counts

68 → 68

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	68	532
1	132	482
2	342	450
3	1174	432
done	5000	432

prune274.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
14.7b	(sqrt (fma k (+ 10.0 k) 1.0))
15.2b	(cbrt (fma k (+ 10.0 k) 1.0))
15.2b	(cbrt (fma k (+ 10.0 k) 1.0))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

0.0ms	(cbrt k)
1.0ms	(sqrt (fma k (+ 10.0 k) 1.0))
0.0ms	(cbrt (fma k (+ 10.0 k) 1.0))
1.0ms	(cbrt (fma k (+ 10.0 k) 1.0))

series460.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt k)
50.0ms	(sqrt (fma k (+ 10.0 k) 1.0))
115.0ms	(cbrt (fma k (+ 10.0 k) 1.0))
110.0ms	(cbrt (fma k (+ 10.0 k) 1.0))

simplify908.0ms

Counts

66 → 66

Iterations

Useful iterations: 3 (257.0ms)

Iter	Nodes	Cost
0	109	718
1	232	669
2	679	621
3	2380	600
done	5000	600

prune354.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.9b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	21
1	17	21
done	17	21

end0.0ms

sample988.0ms

Algorithm

intervals

Results

498.0ms	11803×	body	80	valid
149.0ms	4310×	body	80	nan