Details

sample654.0ms

Algorithm

intervals

Results

496.0ms	230×	body	10240	exit
58.0ms	70×	body	1280	valid
25.0ms	54×	body	640	valid
16.0ms	9×	body	2560	valid
10.0ms	136×	body	80	nan
8.0ms	85×	body	80	valid
7.0ms	27×	body	320	valid
2.0ms	11×	body	160	valid

simplify25.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.8b

localize20.0ms

Local error

Found 1 expressions with local error:

39.6b

(fmod (cosh c) (log1p a))

rewrite2.0ms

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:

1.0ms

(fmod (cosh c) (log1p a))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(fmod (cosh c) (log1p a))

simplify4.8s

Counts

13 → 13

Iterations

Iter	Nodes
done	5022
10	3594
9	1202
8	719
7	383
6	88
5	53
4	41
3	33
2	27
1	22
0	15

prune84.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 34.8b

localize17.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
0.9b	(log (fmod (cosh c) (log1p a)))
39.6b	(fmod (cosh c) (log1p a))

rewrite7.0ms

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:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series32.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
26.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify3.7s

Counts

52 → 52

Iterations

Iter	Nodes
done	5008
8	4249
7	1509
6	671
5	368
4	208
3	139
2	95
1	71
0	47

prune328.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 34.5b

localize48.0ms

Local error

Found 4 expressions with local error:

0.9b	(log (fmod (cosh c) (log1p a)))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))

rewrite3.0ms

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:

1.0ms	(log (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))

series34.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.9s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
9	3025
8	1024
7	442
6	233
5	123
4	87
3	66
2	54
1	44
0	30

prune477.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 34.5b

localize42.0ms

Local error

Found 4 expressions with local error:

39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(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))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify5.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5022
10	3594
9	1202
8	719
7	383
6	88
5	53
4	41
3	33
2	27
1	22
0	15

prune370.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 34.5b

regimes524.0ms

Accuracy

0% (0.2b remaining)

Error of 33.6b against oracle of 33.4b and baseline of 33.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample19.5s

Algorithm

intervals

Results

14.7s	8103×	body	10240	exit
1.9s	2273×	body	1280	valid
1.1s	1541×	body	640	valid
386.0ms	5409×	body	80	nan
327.0ms	2851×	body	80	valid
313.0ms	147×	body	2560	valid
224.0ms	785×	body	320	valid
71.0ms	399×	body	160	valid
10.0ms	4×	body	5120	valid