Details

sample374.0ms

Algorithm

intervals

Results

286.0ms	267×	body	10240	exit
42.0ms	92×	body	1280	valid
9.0ms	38×	body	640	valid
6.0ms	195×	body	80	nan
4.0ms	27×	body	320	valid
4.0ms	85×	body	80	valid
3.0ms	3×	body	2560	valid
1.0ms	11×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
4	18	5
5	19	5
6	24	5
7	31	5
8	48	5
9	96	5
10	550	5
done	5000	5

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.2b

localize7.0ms

Local error

Found 1 expressions with local error:

40.0b

(fmod (cosh c) (log1p a))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

1 → 7

Calls

1 calls:

0.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify1.7s

Counts

10 → 10

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	12	75
1	19	75
2	24	65
3	30	65
4	38	65
5	59	65
6	120	65
7	354	65
8	1254	65
done	5001	65

prune33.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
40.0b	(fmod (cosh c) (log1p a))
40.0b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

1.0ms	(sqrt (fmod (cosh c) (log1p a)))
7.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series16.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (fmod (cosh c) (log1p a)))
3.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify1.3s

Counts

88 → 88

Iterations

Useful iterations: 3 (241.0ms)

Iter	Nodes	Cost
0	57	1112
1	92	726
2	266	648
3	1542	621
done	5001	621

prune175.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 35.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.1b	(log (fmod (cosh c) (log1p a)))
40.0b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `exp-prod`
3×	`exp-sum` `add-cbrt-cube` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 34

Calls

3 calls:

1.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series25.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
21.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify1.2s

Counts

43 → 43

Iterations

Useful iterations: 4 (34.0ms)

Iter	Nodes	Cost
0	38	384
1	55	347
2	69	301
3	89	301
4	131	295
5	236	295
6	522	295
7	1785	295
done	5000	295

prune134.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 35.2b

localize15.0ms

Local error

Found 4 expressions with local error:

1.1b	(log (fmod (cosh c) (log1p a)))
40.0b	(fmod (cosh c) (log1p a))
40.0b	(fmod (cosh c) (log1p a))
40.0b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 33

Calls

4 calls:

1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series26.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify2.5s

Counts

45 → 45

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	24	362
1	35	359
2	43	312
3	57	312
4	72	312
5	114	312
6	244	312
7	780	312
8	3104	312
done	5000	312

prune146.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 35.1b

regimes424.0ms

Accuracy

0% (0.1b remaining)

Error of 33.9b against oracle of 33.8b and baseline of 33.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	13	41
done	13	41

end0.0ms

sample10.6s

Algorithm

intervals

Results

8.1s	7944×	body	10240	exit
1.1s	2282×	body	1280	valid
356.0ms	1588×	body	640	valid
164.0ms	5442×	body	80	nan
163.0ms	151×	body	2560	valid
117.0ms	2813×	body	80	valid
101.0ms	759×	body	320	valid
42.0ms	400×	body	160	valid
10.0ms	7×	body	5120	valid