Details

sample1.5s

Algorithm

intervals

Results

821.0ms	246×	body	10240	exit
360.0ms	96×	body	2560	valid
128.0ms	88×	body	1280	valid
78.0ms	500×	body	80	nan
39.0ms	43×	body	640	valid
16.0ms	25×	body	320	valid
4.0ms	1×	body	5120	nan
1.0ms	3×	body	160	valid
0.0ms	1×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.5b

localize26.0ms

Local error

Found 2 expressions with local error:

1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.7b	(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))

series11.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
8.0ms	(fmod (cosh a) (* a a))

simplify1.8s

Counts

23 → 23

Iterations

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

prune124.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 60.0b

localize33.0ms

Local error

Found 3 expressions with local error:

1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.4b	(log (exp (fmod (cosh a) (* a a))))
59.7b	(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×	`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:

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))

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))

simplify1.4s

Counts

42 → 42

Iterations

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

prune201.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 60.0b

localize44.0ms

Local error

Found 4 expressions with local error:

11.4b	(log (exp (fmod (cosh a) (* a a))))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))

rewrite6.0ms

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))

series15.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify1.3s

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

prune447.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 60.0b

localize21.0ms

Local error

Found 3 expressions with local error:

1.2b	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.7b	(fmod (cosh a) (* a a))

rewrite7.0ms

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`
2×	`acos-asin`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

3 → 34

Calls

3 calls:

5.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series12.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
3.0ms	(fmod (cosh a) (* a a))

simplify1.5s

Counts

43 → 43

Iterations

Iter	Nodes
done	2007
7	2007
6	1637
5	580
4	291
3	178
2	124
1	93
0	58

prune213.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 60.0b

regimes327.0ms

Accuracy

0% (0.4b remaining)

Error of 59.4b against oracle of 59.0b and baseline of 59.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample40.9s

Algorithm

intervals

Results

24.0s	7893×	body	10240	exit
7.9s	3122×	body	2560	valid
3.9s	2550×	body	1280	valid
2.5s	16006×	body	80	nan
1.5s	1241×	body	640	valid
369.0ms	625×	body	320	valid
175.0ms	337×	body	160	valid
33.0ms	11×	body	5120	nan
26.0ms	125×	body	80	valid
11.0ms	6×	body	2560	nan
11.0ms	10×	body	1280	nan
7.0ms	9×	body	640	nan
3.0ms	5×	body	320	nan
3.0ms	9×	body	160	nan