Details

sample1.2s

Algorithm

intervals

Results

744.0ms	254×	body	10240	exit
237.0ms	96×	body	2560	valid
91.0ms	85×	body	1280	valid
36.0ms	495×	body	80	nan
21.0ms	36×	body	640	valid
9.0ms	20×	body	320	valid
5.0ms	15×	body	160	valid
0.0ms	4×	body	80	valid

simplify7.5s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.4b

localize33.0ms

Local error

Found 2 expressions with local error:

3.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.8b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin`

Counts

2 → 21

Calls

2 calls:

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

series58.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
29.0ms	(fmod (cosh a) (* a a))

simplify9.0s

Counts

27 → 27

Iterations

Iter	Nodes
done	5115
7	3861
6	925
5	371
4	199
3	121
2	81
1	58
0	35

prune331.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.2b

localize38.0ms

Local error

Found 3 expressions with local error:

3.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.9b	(log (exp (fmod (cosh a) (* a a))))
58.8b	(fmod (cosh a) (* a a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-pow`
3×	`expm1-log1p-u` `log-prod` `exp-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 39

Calls

3 calls:

2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series59.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
14.0ms	(log (exp (fmod (cosh a) (* a a))))
8.0ms	(fmod (cosh a) (* a a))

simplify4.0s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
6	1691
5	607
4	299
3	180
2	124
1	91
0	60

prune588.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.2b

localize94.0ms

Local error

Found 4 expressions with local error:

11.9b	(log (exp (fmod (cosh a) (* a a))))
11.9b	(log (exp (fmod (cosh a) (* a a))))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow` `add-cube-cbrt`
6×	`pow1` `log-prod` `exp-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 56

Calls

4 calls:

9.0ms	(log (exp (fmod (cosh a) (* a a))))
9.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

series71.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(log (exp (fmod (cosh a) (* a a))))
17.0ms	(log (exp (fmod (cosh a) (* a a))))
16.0ms	(fmod (cosh a) (* a a))
16.0ms	(fmod (cosh a) (* a a))

simplify5.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
7	1970
6	697
5	359
4	183
3	121
2	87
1	64
0	42

prune871.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.2b

localize131.0ms

Local error

Found 4 expressions with local error:

11.9b	(log (exp (fmod (cosh a) (* a a))))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 48

Calls

4 calls:

8.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series40.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(log (exp (fmod (cosh a) (* a a))))
8.0ms	(fmod (cosh a) (* a a))
9.0ms	(fmod (cosh a) (* a a))
15.0ms	(fmod (cosh a) (* a a))

simplify5.3s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
7	1970
6	697
5	359
4	183
3	121
2	87
1	64
0	42

prune773.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 59.2b

regimes957.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample36.1s

Algorithm

intervals

Results

20.5s	8093×	body	10240	exit
8.2s	3209×	body	2560	valid
2.7s	2438×	body	1280	valid
2.2s	16163×	body	80	nan
906.0ms	1274×	body	640	valid
293.0ms	617×	body	320	valid
98.0ms	338×	body	160	valid
40.0ms	8×	body	160	nan
21.0ms	6×	body	5120	nan
17.0ms	124×	body	80	valid
12.0ms	8×	body	2560	nan
5.0ms	14×	body	320	nan
3.0ms	4×	body	1280	nan
3.0ms	5×	body	640	nan