Details

sample1.7s

Algorithm

intervals

Results

705.0ms	239×	body	10240	exit
458.0ms	511×	body	80	nan
259.0ms	105×	body	2560	valid
102.0ms	84×	body	1280	valid
22.0ms	34×	body	640	valid
11.0ms	22×	body	320	valid
2.0ms	7×	body	160	valid
1.0ms	4×	body	80	valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	556
1	16	556
2	24	556
3	44	556
4	87	556
5	199	556
6	774	556
7	3480	556
done	5009	556

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.5b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p a)
1.4b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.2b	(fmod (cosh a) (* a a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 30

Calls

3 calls:

3.0ms	(log1p a)
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series64.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(log1p a)
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
15.0ms	(fmod (cosh a) (* a a))

simplify3.2s

Counts

39 → 39

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	65	14848
1	128	12913
2	292	12873
3	733	12848
4	2020	12632
done	5002	12607

prune231.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 58.8b

localize21.0ms

Local error

Found 3 expressions with local error:

1.4b	(acos (pow (fmod (cosh a) (* a a)) (log (+ 1 a))))
5.9b	(log (+ 1 a))
60.2b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `pow1` `log-prod` `add-exp-log` `add-cube-cbrt`
3×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div`
1×	`acos-asin` `log1p-def` `flip3-+` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out`

Counts

3 → 37

Calls

3 calls:

1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log (+ 1 a))))
4.0ms	(log (+ 1 a))
0.0ms	(fmod (cosh a) (* a a))

series48.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log (+ 1 a))))
40.0ms	(log (+ 1 a))
3.0ms	(fmod (cosh a) (* a a))

simplify4.6s

Counts

46 → 46

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	86	17583
1	169	14651
2	394	14313
3	848	14288
4	2590	14087
done	5000	14047

prune299.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 58.8b

localize48.0ms

Local error

Found 4 expressions with local error:

1.4b	(acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (+ 1 a))) (log (sqrt (+ 1 a))))))
5.6b	(log (sqrt (+ 1 a)))
5.6b	(log (sqrt (+ 1 a)))
60.2b	(fmod (cosh a) (* a a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`log-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt` `sqrt-prod`
6×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `sqrt-div` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`acos-asin`

Counts

4 → 63

Calls

4 calls:

1.0ms	(acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (+ 1 a))) (log (sqrt (+ 1 a))))))
4.0ms	(log (sqrt (+ 1 a)))
5.0ms	(log (sqrt (+ 1 a)))
0.0ms	(fmod (cosh a) (* a a))

series164.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (+ 1 a))) (log (sqrt (+ 1 a))))))
82.0ms	(log (sqrt (+ 1 a)))
71.0ms	(log (sqrt (+ 1 a)))
3.0ms	(fmod (cosh a) (* a a))

simplify167.0ms

Iterations

Useful iterations: 1 (70.0ms)

Iter	Nodes	Cost
0	101	28840
1	183	24293