Details

sample1.5s

Algorithm

intervals

Results

801.0ms	217×	body	10240	exit
272.0ms	90×	body	2560	valid
128.0ms	90×	body	1280	valid
60.0ms	422×	body	80	nan
38.0ms	44×	body	640	valid
10.0ms	16×	body	320	valid
6.0ms	14×	body	160	valid
1.0ms	1×	body	640	nan
0.0ms	2×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize23.0ms

Local error

Found 2 expressions with local error:

2.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.6b	(fmod (cosh a) (* a a))

rewrite4.0ms

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:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify3.0s

Counts

27 → 27

Iterations

Iter	Nodes
done	5023
7	3173
6	895
5	371
4	199
3	121
2	81
1	58
0	35

prune172.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.1b

localize32.0ms

Local error

Found 3 expressions with local error:

2.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
14.0b	(log (exp (fmod (cosh a) (* a a))))
58.6b	(fmod (cosh a) (* a a))

rewrite4.0ms

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:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series6.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(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))

simplify4.1s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
7	4732
6	1430
5	558
4	291
3	180
2	125
1	92
0	60

prune276.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.1b

localize51.0ms

Local error

Found 4 expressions with local error:

2.2b	(acos (pow (cbrt (* (fmod (cosh a) (* a a)) (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))))) (log1p a)))
58.6b	(fmod (cosh a) (* a a))
58.6b	(fmod (cosh a) (* a a))
58.6b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 41

Calls

4 calls:

2.0ms	(acos (pow (cbrt (* (fmod (cosh a) (* a a)) (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))))) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series15.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(acos (pow (cbrt (* (fmod (cosh a) (* a a)) (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))))) (log1p a)))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify2.7s

Counts

53 → 53

Iterations

Iter	Nodes
done	5090
7	2993
6	919
5	416
4	230
3	140
2	90
1	61
0	37

prune307.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.1b

localize39.0ms

Local error

Found 4 expressions with local error:

14.0b	(log (exp (fmod (cosh a) (* a a))))
58.6b	(fmod (cosh a) (* a a))
58.6b	(fmod (cosh a) (* a a))
58.6b	(fmod (cosh a) (* a a))

rewrite7.0ms

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:

5.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series13.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify2.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
7	2052
6	695
5	337
4	190
3	124
2	88
1	65
0	42

prune352.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 59.1b

regimes413.0ms

Accuracy

0% (0.5b remaining)

Error of 59.6b against oracle of 59.1b and baseline of 59.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample43.2s

Algorithm

intervals

Results

24.5s	7618×	body	10240	exit
9.4s	3169×	body	2560	valid
3.7s	2513×	body	1280	valid
3.1s	15649×	body	80	nan
1.2s	1247×	body	640	valid
479.0ms	625×	body	320	valid
141.0ms	320×	body	160	valid
34.0ms	11×	body	5120	nan
26.0ms	126×	body	80	valid
14.0ms	13×	body	1280	nan
8.0ms	4×	body	2560	nan
4.0ms	8×	body	320	nan
3.0ms	5×	body	640	nan
3.0ms	9×	body	160	nan