Details

sample1.0s

Algorithm

intervals

Results

479.0ms	269×	body	10240	exit
158.0ms	95×	body	2560	valid
66.0ms	89×	body	1280	valid
35.0ms	593×	body	80	nan
17.0ms	44×	body	640	valid
4.0ms	15×	body	320	valid
2.0ms	10×	body	160	valid
0.0ms	3×	body	80	valid
0.0ms	1×	body	320	nan

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	44	10
4	85	10
5	185	10
6	565	10
7	2182	10
done	5000	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize11.0ms

Local error

Found 2 expressions with local error:

2.4b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.4b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin`

Counts

2 → 19

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify2.5s

Counts

25 → 25

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	33	277
1	49	277
2	67	245
3	96	245
4	150	245
5	268	245
6	689	245
7	2487	245
done	5000	245

prune92.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.9b

localize13.0ms

Local error

Found 3 expressions with local error:

2.4b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.1b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 36

Calls

3 calls:

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

series10.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(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))

simplify1.6s

Counts

45 → 45

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	57	521
1	79	460
2	101	409
3	145	409
4	235	409
5	476	409
6	1344	409
done	5000	409

prune166.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.9b

localize16.0ms

Local error

Found 4 expressions with local error:

3.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite6.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 62

Calls

4 calls:

2.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series223.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
111.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify2.1s

Counts

74 → 74

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	53	850
1	70	802
2	87	726
3	113	726
4	170	726
5	316	726
6	824	726
7	2940	726
done	5000	726

prune339.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 59.8b

localize21.0ms

Local error

Found 4 expressions with local error:

3.2b	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

2.0ms	(log (sqrt (cbrt (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))

series213.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(log (sqrt (cbrt (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))

simplify2.2s

Counts

62 → 62

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	59	699
1	74	679
2	86	614
3	104	614
4	136	614
5	210	614
6	459	614
7	1598	614
done	5000	614

prune331.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 59.8b

regimes212.0ms

Accuracy

0% (0.4b remaining)

Error of 60.4b against oracle of 60.0b and baseline of 60.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
done	9	12

end0.0ms

sample23.6s

Algorithm

intervals

Results

14.4s	8136×	body	10240	exit
5.2s	3190×	body	2560	valid
1.8s	2468×	body	1280	valid
730.0ms	16371×	body	80	nan
519.0ms	1281×	body	640	valid
185.0ms	645×	body	320	valid
62.0ms	308×	body	160	valid
30.0ms	14×	body	5120	nan
14.0ms	108×	body	80	valid
9.0ms	9×	body	2560	nan
4.0ms	8×	body	1280	nan
3.0ms	9×	body	640	nan
1.0ms	6×	body	320	nan
1.0ms	8×	body	160	nan