Details

sample1.6s

Algorithm

intervals

Results

725.0ms	300×	body	10240	exit
328.0ms	48×	body	640	valid
238.0ms	109×	body	2560	valid
95.0ms	592×	body	80	nan
78.0ms	68×	body	1280	valid
7.0ms	18×	body	320	valid
6.0ms	12×	body	160	valid
1.0ms	1×	body	2560	nan
0.0ms	1×	body	80	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3169
5	373
4	91
3	44
2	24
1	16
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize18.0ms

Local error

Found 2 expressions with local error:

2.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.3b	(fmod (cosh a) (* a a))

rewrite18.0ms

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:

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

series26.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
18.0ms	(fmod (cosh a) (* a a))

simplify3.2s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
6	4025
5	808
4	303
3	174
2	103
1	55
0	33

prune158.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.5b

localize22.0ms

Local error

Found 3 expressions with local error:

2.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.8b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(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` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 36

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))

series15.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify3.2s

Counts

45 → 45

Iterations

Iter	Nodes
done	5001
6	4782
5	989
4	391
3	239
2	154
1	89
0	57

prune340.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.5b

localize66.0ms

Local error

Found 4 expressions with local error:

10.8b	(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))

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

Counts

4 → 44

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

series18.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5004
6	1672
5	541
4	260
3	164
2	108
1	63
0	40

prune511.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.4b

localize157.0ms

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))

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

Counts

4 → 36

Calls

4 calls:

0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series19.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.2s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
7	3266
6	898
5	356
4	169
3	98
2	57
1	29
0	16

prune485.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.4b

regimes449.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.9b and baseline of 60.3b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	22
1	22
0	20

end0.0ms

sample36.0s

Algorithm

intervals

Results

21.7s	8118×	body	10240	exit
7.7s	3185×	body	2560	valid
2.8s	2463×	body	1280	valid
1.7s	16026×	body	80	nan
818.0ms	1302×	body	640	valid
321.0ms	606×	body	320	valid
129.0ms	332×	body	160	valid
17.0ms	112×	body	80	valid
16.0ms	6×	body	5120	nan
12.0ms	10×	body	2560	nan
7.0ms	8×	body	1280	nan
4.0ms	6×	body	640	nan
2.0ms	5×	body	320	nan
1.0ms	6×	body	160	nan