Details

sample1.1s

Algorithm

intervals

Results

523.0ms	286×	body	10240	exit
160.0ms	96×	body	2560	valid
57.0ms	77×	body	1280	valid
27.0ms	578×	body	80	nan
20.0ms	51×	body	640	valid
7.0ms	23×	body	320	valid
1.0ms	5×	body	160	valid
0.0ms	4×	body	80	valid

simplify47.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1277	6
6	5001	6
done	5001	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize12.0ms

Local error

Found 2 expressions with local error:

1.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.0b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin`

Counts

2 → 15

Calls

2 calls:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify84.0ms

Counts

21 → 21

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	44	144
1	72	124
2	156	124
3	405	124
4	1968	124
5	5002	124
done	5002	124

prune77.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 60.3b

localize12.0ms

Local error

Found 3 expressions with local error:

1.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.4b	(log (exp (fmod (cosh a) (* a a))))
60.0b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `log-pow`
3×	`add-exp-log` `log-prod` `exp-prod` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 30

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))

series9.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify105.0ms

Counts

39 → 39

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	73	265
1	107	226
2	221	226
3	590	226
4	2934	226
5	5002	226
done	5002	226

prune132.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.2b

localize16.0ms

Local error

Found 4 expressions with local error:

1.4b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
1.4b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `sqrt-pow1`
6×	`add-exp-log` `exp-prod` `sqrt-prod`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 54

Calls

4 calls:

4.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series229.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
115.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify82.0ms

Counts

66 → 66

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	66	488
1	98	434
2	180	434
3	439	430
4	2003	430
5	5002	430
done	5002	430

prune268.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.2b

localize18.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (cbrt (sqrt (exp (fmod (cosh a) (* a a))))))
60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`sqrt-prod`
2×	`log-pow`
1×	`pow1/3` `rem-log-exp`

Counts

4 → 40

Calls

4 calls:

3.0ms	(log (cbrt (sqrt (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))

series215.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(log (cbrt (sqrt (exp (fmod (cosh a) (* a a))))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify74.0ms

Counts

52 → 52

Iterations

Useful iterations: 4 (18.0ms)

Iter	Nodes	Cost
0	69	394
1	92	350
2	159	350
3	368	349
4	1698	345
5	5001	345
done	5001	345

prune248.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 60.2b

regimes95.0ms

Accuracy

0% (0.5b remaining)

Error of 60.3b against oracle of 59.8b and baseline of 60.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	43
1	26	43
done	26	43

end0.0ms

sample23.4s

Algorithm

intervals

Results

14.2s	8143×	body	10240	exit
5.2s	3210×	body	2560	valid
1.8s	2481×	body	1280	valid
717.0ms	16055×	body	80	nan
479.0ms	1213×	body	640	valid
183.0ms	658×	body	320	valid
66.0ms	314×	body	160	valid
13.0ms	124×	body	80	valid
13.0ms	6×	body	5120	nan
6.0ms	6×	body	2560	nan
4.0ms	7×	body	1280	nan
2.0ms	7×	body	640	nan
1.0ms	7×	body	160	nan
0.0ms	1×	body	320	nan