Details

sample346.0ms

Algorithm

intervals

Results

258.0ms	258×	body	10240	exit
38.0ms	78×	body	1280	valid
10.0ms	43×	body	640	valid
6.0ms	6×	body	2560	valid
5.0ms	168×	body	80	nan
3.0ms	90×	body	80	valid
3.0ms	24×	body	320	valid
1.0ms	15×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
done	16	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize6.0ms

Local error

Found 1 expressions with local error:

38.3b

(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))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(fmod (cosh c) (log1p a))

simplify1.4s

Counts

10 → 10

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	75
1	19	75
2	24	65
3	30	65
4	36	65
5	46	65
6	67	65
7	145	65
8	430	65
9	1839	65
done	5001	65

prune33.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))
38.3b	(fmod (cosh c) (log1p a))

rewrite8.0ms

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:

3.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series26.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.8s

Counts

43 → 43

Iterations

Useful iterations: 4 (34.0ms)

Iter	Nodes	Cost
0	38	384
1	54	347
2	68	301
3	86	301
4	126	295
5	210	295
6	423	295
7	1210	295
8	4537	295
done	5001	295

prune114.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 33.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (* (pow (cbrt (fmod (cosh c) (log1p a))) 2) (cbrt (fmod (cosh c) (log1p a)))))
0.6b	(exp (log (* (pow (cbrt (fmod (cosh c) (log1p a))) 2) (cbrt (fmod (cosh c) (log1p a))))))
38.3b	(fmod (cosh c) (log1p a))
38.3b	(fmod (cosh c) (log1p a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log`
8×	`pow1` `log-pow`
7×	`exp-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`rem-log-exp` `add-cbrt-cube` `add-log-exp`
3×	`prod-exp`
2×	`log-prod` `pow-plus` `pow3` `pow-prod-up` `unpow2`
1×	`pow-to-exp` `exp-sum` `pow-exp` `rem-exp-log`

Counts

4 → 46

Calls

4 calls:

9.0ms	(log (* (pow (cbrt (fmod (cosh c) (log1p a))) 2) (cbrt (fmod (cosh c) (log1p a)))))
22.0ms	(exp (log (* (pow (cbrt (fmod (cosh c) (log1p a))) 2) (cbrt (fmod (cosh c) (log1p a))))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series32.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(log (* (pow (cbrt (fmod (cosh c) (log1p a))) 2) (cbrt (fmod (cosh c) (log1p a)))))
4.0ms	(exp (log (* (pow (cbrt (fmod (cosh c) (log1p a))) 2) (cbrt (fmod (cosh c) (log1p a))))))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.1s

Counts

58 → 58

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	42	672
1	67	462
2	140	343
3	408	343
4	1817	343
done	5001	343

prune171.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 33.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (fmod (cosh c) (log1p a)))
0.7b	(pow E (log (fmod (cosh c) (log1p a))))
38.3b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`unpow-prod-up` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 41

Calls

3 calls:

1.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(pow E (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series69.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(log (fmod (cosh c) (log1p a)))
47.0ms	(pow E (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.2s

Counts

50 → 50

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	53	513
1	102	476
2	200	408
3	509	408
4	1547	406
done	5000	394

prune104.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 33.9b

regimes219.0ms

Accuracy

0% (0.0b remaining)

Error of 34.4b against oracle of 34.3b and baseline of 34.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	13	11
2	15	11
done	15	11

end0.0ms

sample10.3s

Algorithm

intervals

Results

7.8s	7840×	body	10240	exit
1.0s	2340×	body	1280	valid
334.0ms	1571×	body	640	valid
145.0ms	5187×	body	80	nan
142.0ms	131×	body	2560	valid
105.0ms	2740×	body	80	valid
98.0ms	797×	body	320	valid
37.0ms	413×	body	160	valid
13.0ms	8×	body	5120	valid