Details

sample665.0ms

Algorithm

intervals

Results

487.0ms	235×	body	10240	exit
69.0ms	80×	body	1280	valid
19.0ms	41×	body	640	valid
17.0ms	10×	body	2560	valid
9.0ms	143×	body	80	nan
9.0ms	96×	body	80	valid
6.0ms	23×	body	320	valid
5.0ms	1×	body	5120	valid
1.0ms	5×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.0b

localize67.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
37.6b	(fmod (cosh c) (log1p a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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`
1×	`cosh-def`

Counts

2 → 19

Calls

2 calls:

5.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series91.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(cosh c)
11.0ms	(fmod (cosh c) (log1p a))

simplify4.5s

Counts

25 → 25

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	44	159
1	77	156
2	134	142
3	255	142
4	501	142
5	1117	142
6	3821	142
done	5002	142

prune188.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.3b	(exp (log (fmod (cosh c) (log1p a))))
0.5b	(log (fmod (cosh c) (log1p a)))
37.6b	(fmod (cosh c) (log1p a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`exp-sum`
2×	`log-pow`
1×	`cosh-def` `rem-log-exp` `rem-exp-log`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cosh c)
4.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series122.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cosh c)
6.0ms	(exp (log (fmod (cosh c) (log1p a))))
34.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify4.3s

Counts

62 → 62

Iterations

Useful iterations: 4 (245.0ms)

Iter	Nodes	Cost
0	73	498
1	113	454
2	180	404
3	315	404
4	594	398
5	1281	398
6	4160	398
done	5000	398

prune256.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 32.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.4b	(pow E (log (fmod (cosh c) (log1p a))))
0.5b	(log (fmod (cosh c) (log1p a)))
37.6b	(fmod (cosh c) (log1p a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `log-prod`
4×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-up` `unpow-prod-down`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `cosh-def` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cosh c)
4.0ms	(pow E (log (fmod (cosh c) (log1p a))))
5.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series191.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cosh c)
80.0ms	(pow E (log (fmod (cosh c) (log1p a))))
23.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(fmod (cosh c) (log1p a))

simplify2.4s

Counts

69 → 69

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	87	629
1	160	591
2	309	511
3	733	511
4	2064	509
done	5000	497

prune374.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 32.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(log (cbrt (fmod (cosh c) (log1p a))))
0.6b	(log (cbrt (fmod (cosh c) (log1p a))))
37.6b	(fmod (cosh c) (log1p a))
37.6b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

2.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
2.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series227.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
119.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify3.4s

Counts

66 → 66

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	41	636
1	57	620
2	99	536
3	201	536
4	593	536
5	2384	536
done	5001	536

prune352.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 32.8b

regimes679.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	11	24
done	11	24

end0.0ms

sample19.3s

Algorithm

intervals

Results

14.1s	7981×	body	10240	exit
1.6s	2222×	body	1280	valid
1.1s	1615×	body	640	valid
367.0ms	5438×	body	80	nan
315.0ms	2818×	body	80	valid
298.0ms	777×	body	320	valid
269.0ms	162×	body	2560	valid
158.0ms	395×	body	160	valid
27.0ms	11×	body	5120	valid