Details

sample1.8s

Algorithm

intervals

Results

1.2s	284×	body	10240	exit
251.0ms	93×	body	2560	valid
163.0ms	86×	body	1280	valid
46.0ms	526×	body	80	nan
29.0ms	42×	body	640	valid
16.0ms	31×	body	320	valid
3.0ms	1×	body	5120	nan
2.0ms	1×	body	2560	nan
1.0ms	1×	body	1280	nan
1.0ms	2×	body	160	valid
0.0ms	2×	body	80	valid

simplify3.2s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.1b

localize24.0ms

Local error

Found 2 expressions with local error:

1.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.3b	(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` `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))

series14.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify3.1s

Counts

25 → 25

Iterations

Iter	Nodes
done	5043
7	3481
6	982
5	393
4	204
3	119
2	78
1	55
0	33

prune228.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.6b

localize40.0ms

Local error

Found 3 expressions with local error:

1.9b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.3b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(fmod (cosh a) (* a a))

rewrite8.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 36

Calls

3 calls:

2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series16.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(fmod (cosh a) (* a a))

simplify1.7s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
6	1659
5	575
4	294
3	176
2	120
1	89
0	57

prune285.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.6b

localize55.0ms

Local error

Found 4 expressions with local error:

10.3b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))

rewrite4.0ms

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` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 44

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series19.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify2.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
7	1852
6	679
5	340
4	189
3	122
2	86
1	63
0	40

prune470.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.6b

localize101.0ms

Local error

Found 4 expressions with local error:

60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))

rewrite2.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(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))

simplify3.5s

Counts

48 → 48

Iterations

Iter	Nodes
done	5025
9	3731
8	1219
7	528
6	280
5	164
4	99
3	63
2	44
1	29
0	16

prune516.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.6b

regimes339.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.9b and baseline of 60.2b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	19
1	19
0	18

end0.0ms

sample35.8s

Algorithm

intervals

Results

21.1s	8027×	body	10240	exit
7.5s	3172×	body	2560	valid
3.9s	2520×	body	1280	valid
1.5s	16001×	body	80	nan
715.0ms	1238×	body	640	valid
260.0ms	634×	body	320	valid
92.0ms	317×	body	160	valid
22.0ms	8×	body	5120	nan
18.0ms	119×	body	80	valid
7.0ms	5×	body	2560	nan
3.0ms	6×	body	640	nan
3.0ms	4×	body	1280	nan
3.0ms	12×	body	160	nan
1.0ms	4×	body	320	nan