Details

sample1.5s

Algorithm

intervals

Results

847.0ms	238×	body	10240	exit
323.0ms	107×	body	2560	valid
134.0ms	74×	body	1280	valid
65.0ms	422×	body	80	nan
49.0ms	49×	body	640	valid
13.0ms	18×	body	320	valid
2.0ms	5×	body	160	valid
1.0ms	3×	body	80	valid

simplify901.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
6	774
5	199
4	87
3	44
2	24
1	16
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize37.0ms

Local error

Found 2 expressions with local error:

1.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.4b	(fmod (cosh a) (* a a))

rewrite6.0ms

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:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify717.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	2004
6	895
5	371
4	199
3	121
2	81
1	58
0	35

prune146.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 59.7b

localize73.0ms

Local error

Found 3 expressions with local error:

1.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.2b	(log (exp (fmod (cosh a) (* a a))))
60.4b	(fmod (cosh a) (* a a))

rewrite5.0ms

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)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series7.0ms

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))

simplify1.1s

Counts

48 → 48

Iterations

Iter	Nodes
done	2007
6	1430
5	558
4	291
3	180
2	125
1	92
0	60

prune290.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize40.0ms

Local error

Found 4 expressions with local error:

11.2b	(log (exp (fmod (cosh a) (* a a))))
60.4b	(fmod (cosh a) (* a a))
60.4b	(fmod (cosh a) (* a a))
60.4b	(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))

simplify868.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	2000
6	695
5	337
4	190
3	124
2	88
1	65
0	42

prune549.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.7b

localize48.0ms

Local error

Found 4 expressions with local error:

11.2b	(log (exp (fmod (cosh a) (* a a))))
11.2b	(log (exp (fmod (cosh a) (* a a))))
60.4b	(fmod (cosh a) (* a a))
60.4b	(fmod (cosh a) (* a a))

rewrite11.0ms

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:

4.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(log (exp (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:

7.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify808.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	2000
6	695
5	337
4	190
3	124
2	88
1	65
0	42

prune540.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 59.7b

regimes341.0ms

Accuracy

0% (0.4b remaining)

Error of 59.6b against oracle of 59.2b and baseline of 59.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample44.6s

Algorithm

intervals

Results

26.2s	7909×	body	10240	exit
8.9s	3184×	body	2560	valid
4.2s	2499×	body	1280	valid
2.6s	15890×	body	80	nan
1.4s	1307×	body	640	valid
452.0ms	591×	body	320	valid
163.0ms	312×	body	160	valid
25.0ms	107×	body	80	valid
20.0ms	6×	body	5120	nan
9.0ms	5×	body	2560	nan
9.0ms	7×	body	1280	nan
8.0ms	9×	body	640	nan
5.0ms	10×	body	320	nan
3.0ms	9×	body	160	nan