Details

sample1.6s

Algorithm

intervals

Results

846.0ms	247×	body	10240	exit
293.0ms	111×	body	2560	valid
182.0ms	80×	body	1280	valid
104.0ms	39×	body	640	valid
43.0ms	493×	body	80	nan
6.0ms	12×	body	320	valid
4.0ms	10×	body	160	valid
1.0ms	4×	body	80	valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	44	10
4	89	10
5	195	10
6	633	10
7	2582	10
done	5000	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize19.0ms

Local error

Found 2 expressions with local error:

1.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(fmod (cosh a) (* a a))

rewrite4.0ms

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))

series15.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
11.0ms	(fmod (cosh a) (* a a))

simplify3.1s

Counts

25 → 25

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	33	277
1	47	277
2	65	245
3	94	245
4	152	245
5	294	245
6	776	245
7	2892	245
done	5000	245

prune152.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.1b

localize19.0ms

Local error

Found 3 expressions with local error:

1.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.9b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(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` `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:

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))

series16.0ms

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))))
9.0ms	(fmod (cosh a) (* a a))

simplify4.1s

Counts

45 → 45

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	57	521
1	76	460
2	98	409
3	136	409
4	217	409
5	440	409
6	1144	409
7	4130	409
done	5001	409

prune328.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.1b

localize20.0ms

Local error

Found 4 expressions with local error:

2.6b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.6b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite20.0ms

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:

8.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
8.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series370.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
178.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.2s

Counts

74 → 74

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	53	850
1	70	802
2	87	726
3	107	726
4	147	726
5	257	726
6	545	726
7	1651	726
done	5001	726

prune421.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.1b

localize37.0ms

Local error

Found 4 expressions with local error:

1.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 37

Calls

4 calls:

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

series12.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify2.9s

Counts

49 → 49

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	33	481
1	47	481
2	65	425
3	94	425
4	152	425
5	294	425
6	776	425
7	2892	425
done	5000	425

prune320.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 60.1b

regimes278.0ms

Accuracy

0% (0.5b remaining)

Error of 60.3b against oracle of 59.9b and baseline of 60.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	23
done	11	23

end0.0ms

sample37.3s

Algorithm

intervals

Results

22.3s	7851×	body	10240	exit
7.8s	3174×	body	2560	valid
3.2s	2491×	body	1280	valid
1.4s	15680×	body	80	nan
839.0ms	1254×	body	640	valid
303.0ms	636×	body	320	valid
103.0ms	337×	body	160	valid
28.0ms	10×	body	5120	nan
16.0ms	108×	body	80	valid
5.0ms	4×	body	2560	nan
5.0ms	7×	body	1280	nan
4.0ms	6×	body	640	nan
3.0ms	10×	body	320	nan
2.0ms	10×	body	160	nan