Details

sample1.1s

Algorithm

intervals

Results

929.0ms	257×	body	10240	exit
63.0ms	66×	body	1280	valid
33.0ms	57×	body	640	valid
17.0ms	180×	body	80	nan
12.0ms	97×	body	80	valid
11.0ms	5×	body	2560	valid
7.0ms	18×	body	320	valid
4.0ms	1×	body	5120	valid
3.0ms	12×	body	160	valid

simplify54.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	16
3	16
2	14
1	11
0	5

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize24.0ms

Local error

Found 1 expressions with local error:

37.1b

(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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`

Counts

1 → 10

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(fmod (cosh c) (log1p a))

simplify1.4s

Counts

13 → 13

Iterations

Iter	Nodes
done	2015
10	2015
9	1202
8	719
7	383
6	88
5	53
4	41
3	33
2	27
1	22
0	15

prune203.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 32.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.4b	(exp (log (fmod (cosh c) (log1p a))))
1.4b	(log (fmod (cosh c) (log1p a)))
37.1b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`exp-prod` `add-exp-log`
3×	`expm1-log1p-u` `add-cbrt-cube` `exp-sum` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 43

Calls

3 calls:

5.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series30.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
23.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(fmod (cosh c) (log1p a))

simplify1.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	2006
8	2006
7	1509
6	671
5	368
4	208
3	139
2	95
1	71
0	47

prune612.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 32.4b

localize54.0ms

Local error

Found 4 expressions with local error:

1.4b	(log (fmod (cosh c) (log1p a)))
37.1b	(fmod (cosh c) (log1p a))
37.1b	(fmod (cosh c) (log1p a))
37.1b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 45

Calls

4 calls:

2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series45.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify1.3s

Counts

57 → 57

Iterations

Iter	Nodes
done	2008
9	2008
8	1024
7	442
6	233
5	123
4	87
3	66
2	54
1	44
0	30

prune1.0s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 32.4b

localize56.0ms

Local error

Found 4 expressions with local error:

37.1b	(fmod (cosh c) (log1p a))
37.1b	(fmod (cosh c) (log1p a))
37.1b	(fmod (cosh c) (log1p a))
37.1b	(fmod (cosh c) (log1p a))

rewrite1.0ms

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`

Counts

4 → 40

Calls

4 calls:

0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.3s

Counts

52 → 52

Iterations

Iter	Nodes
done	2015
10	2015
9	1202
8	719
7	383
6	88
5	53
4	41
3	33
2	27
1	22
0	15

prune982.0ms

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 32.4b

regimes818.0ms

Accuracy

0% (0.2b remaining)

Error of 34.5b against oracle of 34.2b and baseline of 34.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample22.9s

Algorithm

intervals

Results

16.9s	7661×	body	10240	exit
2.3s	2257×	body	1280	valid
950.0ms	1653×	body	640	valid
932.0ms	5400×	body	80	nan
483.0ms	2729×	body	80	valid
364.0ms	151×	body	2560	valid
294.0ms	788×	body	320	valid
142.0ms	412×	body	160	valid
31.0ms	10×	body	5120	valid