Details

sample940.0ms

Algorithm

intervals

Results

397.0ms	219×	body	10240	exit
189.0ms	112×	body	2560	valid
47.0ms	64×	body	1280	valid
20.0ms	459×	body	80	nan
15.0ms	39×	body	640	valid
6.0ms	22×	body	320	valid
3.0ms	14×	body	160	valid
2.0ms	1×	body	5120	nan
1.0ms	1×	body	1280	nan
1.0ms	5×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	44	10
4	85	10
5	201	10
6	545	10
7	2008	10
done	5000	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.8b

localize11.0ms

Local error

Found 2 expressions with local error:

3.0b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.7b	(fmod (cosh a) (* a a))

rewrite3.0ms

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×	`acos-asin`

Counts

2 → 19

Calls

2 calls:

1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series12.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify2.0s

Counts

25 → 25

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	33	277
1	49	277
2	72	245
3	104	245
4	157	245
5	302	245
6	773	245
7	2671	245
done	5000	245

prune104.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.6b

localize13.0ms

Local error

Found 3 expressions with local error:

3.0b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.3b	(log (exp (fmod (cosh a) (* a a))))
59.7b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `log-pow`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `exp-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 36

Calls

3 calls:

0.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
1.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series7.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify693.0ms

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	57	521
1	79	460
2	108	409
3	157	409
4	247	409
5	492	409
6	1331	409