Details

sample2.4s

Algorithm

intervals

Results

1.4s	244×	body	10240	exit
339.0ms	104×	body	2560	valid
181.0ms	84×	body	1280	valid
143.0ms	37×	body	640	valid
90.0ms	483×	body	80	nan
11.0ms	15×	body	320	valid
8.0ms	13×	body	160	valid
1.0ms	3×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2025
7	2025
6	774
5	199
4	87
3	44
2	24
1	16
0	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize29.0ms

Local error

Found 2 expressions with local error:

2.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.5b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 17

Calls

2 calls:

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

series20.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
16.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts

23 → 23

Iterations

Iter	Nodes
done	2001
7	2001
6	1070
5	408
4	202
3	117
2	77
1	54
0	31

prune161.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.4b

localize39.0ms

Local error

Found 3 expressions with local error:

2.5b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.1b	(log (exp (fmod (cosh a) (* a a))))
60.5b	(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×	`log-prod` `exp-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 33

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

series12.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify1.7s

Counts

42 → 42

Iterations

Iter	Nodes
done	2028
7	2028
6	1688
5	583
4	288
3	173
2	118
1	85
0	54

prune287.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.4b

localize55.0ms

Local error

Found 4 expressions with local error:

12.1b	(log (exp (fmod (cosh a) (* a a))))
60.5b	(fmod (cosh a) (* a a))
60.5b	(fmod (cosh a) (* a a))
60.5b	(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×	`add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 40

Calls

4 calls:

4.0ms	(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))

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(log (exp (fmod (cosh a) (* a a))))
12.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify1.8s

Counts

52 → 52

Iterations

Iter	Nodes
done	2001
8	2001
7	1699
6	651
5	333
4	188
3	119
2	83
1	60
0	38

prune483.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.4b

localize120.0ms

Local error

Found 4 expressions with local error:

60.5b	(fmod (cosh a) (* a a))
60.5b	(fmod (cosh a) (* a a))
60.5b	(fmod (cosh a) (* a a))
60.5b	(fmod (cosh a) (* a a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

0.0ms	(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))

series14.0ms

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))

simplify1.1s

Counts

44 → 44

Iterations

Iter	Nodes
done	2001
9	2001
8	1276
7	568
6	304
5	159
4	98
3	62
2	43
1	28
0	15

prune580.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 59.4b

regimes432.0ms

Accuracy

0% (0.4b remaining)

Error of 59.5b against oracle of 59.1b and baseline of 59.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample43.1s

Algorithm

intervals

Results

24.8s	7713×	body	10240	exit
9.2s	3164×	body	2560	valid
4.1s	2432×	body	1280	valid
2.4s	15786×	body	80	nan
1.2s	1313×	body	640	valid
440.0ms	649×	body	320	valid
164.0ms	330×	body	160	valid
40.0ms	12×	body	5120	nan
25.0ms	112×	body	80	valid
11.0ms	6×	body	2560	nan
7.0ms	9×	body	640	nan
5.0ms	4×	body	1280	nan
2.0ms	6×	body	160	nan
2.0ms	3×	body	320	nan