Details

sample44.0ms

Algorithm

intervals

Results

23.0ms	260×	body	80	valid
1.0ms	2×	body	1280	valid
1.0ms	3×	body	320	valid
1.0ms	3×	body	160	valid
0.0ms	1×	body	640	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (61.0ms)

Iter	Nodes	Cost
0	21	29
1	50	29
2	92	29
3	195	29
4	428	28
5	1228	28
6	4592	28
done	5000	28

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ m n) 2.0) M)
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
0.0b	(- (/ (* K (+ m n)) 2.0) M)
34.5b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
8×	`add-log-exp`
6×	`add-cube-cbrt` `unpow-prod-down`
5×	`pow1` `add-exp-log` `difference-of-squares`
4×	`add-cbrt-cube`
3×	`sub-neg` `pow-unpow` `distribute-lft-out--`
2×	`cos-sum` `flip3--` `times-frac` `diff-log` `flip--`
1×	`cos-diff` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

29.0ms	(- (/ (+ m n) 2.0) M)
32.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
9.0ms	(- (/ (* K (+ m n)) 2.0) M)
15.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

series423.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ (+ m n) 2.0) M)
279.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
61.0ms	(- (/ (* K (+ m n)) 2.0) M)
55.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify864.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (233.0ms)

Iter	Nodes	Cost
0	147	1022
1	319	969
2	691	904
3	1794	893
done	5000	893

prune320.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ m n) 2.0) M)
0.0b	(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)

rewrite633.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`add-log-exp`
8×	`distribute-lft-out--`
7×	`diff-log`
6×	`unpow-prod-down`
5×	`add-cube-cbrt` `difference-of-squares`
4×	`pow1` `add-exp-log`
3×	`sub-neg` `pow-unpow` `add-cbrt-cube`
2×	`flip3--` `distribute-rgt-neg-in` `times-frac` `neg-log` `flip--` `associate--r+`
1×	`associate--l-` `neg-sub0` `pow-to-exp` `pow-pow` `pow-exp` `associate--r-` `sqr-pow`

Counts

3 → 59

Calls

3 calls:

27.0ms	(- (/ (+ m n) 2.0) M)
569.0ms	(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
35.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series501.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (/ (+ m n) 2.0) M)
192.0ms	(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
276.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify871.0ms

Counts

68 → 68

Iterations

Useful iterations: 3 (283.0ms)

Iter	Nodes	Cost
0	143	1158
1	333	1091
2	798	1024
3	2330	1001
done	5000	1001

prune238.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.8b

localize27.0ms

Local error

Found 4 expressions with local error:

13.1b	(cbrt (- (/ (* K (+ m n)) 2.0) M))
13.1b	(cbrt (- (/ (* K (+ m n)) 2.0) M))
13.1b	(cbrt (- (/ (* K (+ m n)) 2.0) M))
43.8b	(cos (* (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M))) (cbrt (- (/ (* K (+ m n)) 2.0) M))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
9.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
7.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
27.0ms	(cos (* (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M))) (cbrt (- (/ (* K (+ m n)) 2.0) M))))

series820.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
260.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
249.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
55.0ms	(cos (* (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M))) (cbrt (- (/ (* K (+ m n)) 2.0) M))))

simplify2.1s

Counts

64 → 64

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	97	1446
1	213	1414
2	492	1086
3	1361	1020
4	4960	978
done	5000	978

prune365.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.8b

localize34.0ms

Local error

Found 4 expressions with local error:

13.1b	(cbrt (- (/ (* K (+ m n)) 2.0) M))
13.1b	(cbrt (- (/ (* K (+ m n)) 2.0) M))
13.1b	(cbrt (- (/ (* K (+ m n)) 2.0) M))
44.5b	(cos (* (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M))) (* (cbrt (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M)))) (cbrt (cbrt (- (/ (* K (+ m n)) 2.0) M))))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
8.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
7.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
150.0ms	(cos (* (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M))) (* (cbrt (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M)))) (cbrt (cbrt (- (/ (* K (+ m n)) 2.0) M))))))

series797.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
243.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
244.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
57.0ms	(cos (* (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M))) (* (cbrt (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M)))) (cbrt (cbrt (- (/ (* K (+ m n)) 2.0) M))))))

simplify1.9s

Counts

64 → 64

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	99	1686
1	221	1654
2	513	1438
3	1384	1396
4	4972	1354
done	5000	1354

prune424.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.8b

regimes186.0ms

Accuracy

0% (0.2b remaining)

Error of 1.3b against oracle of 1.1b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	17	20
1	21	18
done	21	18

end0.0ms

sample1.1s

Algorithm

intervals

Results

628.0ms	8115×	body	80	valid
59.0ms	112×	body	1280	valid
51.0ms	143×	body	640	valid
25.0ms	105×	body	320	valid
11.0ms	68×	body	160	valid
2.0ms	3×	body	2560	valid