Details

sample320.0ms

Algorithm

intervals

Results

232.0ms	224×	body	10240	exit
36.0ms	79×	body	1280	valid
10.0ms	48×	body	640	valid
8.0ms	87×	body	80	valid
5.0ms	32×	body	320	valid
5.0ms	168×	body	80	nan
2.0ms	2×	body	2560	valid
1.0ms	8×	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: 34.6b

localize7.0ms

Local error

Found 1 expressions with local error:

39.5b

(fmod (cosh c) (log1p a))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

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

12 → 12

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	87
1	21	87
2	26	77
3	32	77
4	38	77
5	48	77
6	69	77
7	147	77
8	440	77
9	1834	77
done	5000	77

prune45.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 34.5b

localize7.0ms

Local error

Found 1 expressions with local error:

39.5b

(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

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

12 → 12

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	87
1	21	87
2	26	77
3	32	77
4	38	77
5	48	77
6	69	77
7	147	77
8	440	77
9	1834	77
done	5000	77

prune44.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 34.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(log (fmod (cosh c) (log1p a)))
0.7b	(exp (log (fmod (cosh c) (log1p a))))
39.5b	(fmod (cosh c) (log1p a))

rewrite5.0ms

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×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 40

Calls

3 calls:

1.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series27.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.7s

Counts

49 → 49

Iterations

Useful iterations: 4 (40.0ms)

Iter	Nodes	Cost
0	44	426
1	60	385
2	74	339
3	93	339
4	134	333
5	218	333
6	424	333
7	1213	333
8	4603	333
done	5001	333

prune148.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 34.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
39.5b	(fmod (cosh c) (log1p a))
39.5b	(fmod (cosh c) (log1p a))
39.5b	(fmod (cosh c) (log1p a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u`
1×	`exp-prod` `exp-to-pow` `rem-exp-log`

Counts

4 → 39

Calls

4 calls:

13.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (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))

series12.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify1.8s

Counts

51 → 51

Iterations

Useful iterations: 4 (70.0ms)

Iter	Nodes	Cost
0	28	592
1	42	589
2	70	372
3	146	342
4	381	324
5	1401	324
done	5001	324

prune158.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 34.5b

regimes287.0ms

Accuracy

0% (0.1b remaining)

Error of 34.2b against oracle of 34.2b and baseline of 34.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	39
1	18	39
done	18	39

end0.0ms

sample10.4s

Algorithm

intervals

Results

7.8s	7744×	body	10240	exit
1.0s	2343×	body	1280	valid
327.0ms	1535×	body	640	valid
177.0ms	167×	body	2560	valid
150.0ms	5335×	body	80	nan
111.0ms	2772×	body	80	valid
96.0ms	784×	body	320	valid
36.0ms	390×	body	160	valid
17.0ms	9×	body	5120	valid