Details

sample1.4s

Algorithm

intervals

Results

805.0ms	278×	body	10240	exit
228.0ms	92×	body	2560	valid
146.0ms	89×	body	1280	valid
45.0ms	584×	body	80	nan
25.0ms	40×	body	640	valid
9.0ms	19×	body	320	valid
5.0ms	13×	body	160	valid
0.0ms	3×	body	80	valid

simplify3.1s

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	89	10
5	195	10
6	633	10
7	2582	10
done	5000	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize27.0ms

Local error

Found 2 expressions with local error:

3.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(fmod (cosh a) (* a a))

rewrite20.0ms

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:

2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series25.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
18.0ms	(fmod (cosh a) (* a a))

simplify3.3s

Counts

25 → 25

Iterations

Useful iterations: 2 (32.0ms)

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

prune151.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize30.0ms

Local error

Found 3 expressions with local error:

3.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.3b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))

rewrite9.0ms

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:

2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
6.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series10.0ms

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))

simplify4.3s

Counts

45 → 45

Iterations

Useful iterations: 2 (44.0ms)

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

prune290.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.7b

localize29.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite11.0ms

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:

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))

series310.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
175.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify2.5s

Counts

74 → 74

Iterations

Useful iterations: 2 (22.0ms)

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

prune493.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.7b

localize39.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (sqrt (sqrt (exp (fmod (cosh a) (* a a))))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

18.0ms	(log (sqrt (sqrt (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))

series333.0ms

Counts

4 → 12

Calls

4 calls:

325.0ms	(log (sqrt (sqrt (exp (fmod (cosh a) (* a a))))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify2.1s

Counts

66 → 66

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	64	736
1	83	699
2	100	634
3	119	634
4	159	634
5	269	634
6	557	634
7	1651	634
done	5000	634

prune484.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.7b

regimes273.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
done	9	12

end0.0ms

sample34.6s

Algorithm

intervals

Results

20.8s	7861×	body	10240	exit
7.1s	3177×	body	2560	valid
3.0s	2510×	body	1280	valid
1.4s	15864×	body	80	nan
730.0ms	1286×	body	640	valid
335.0ms	609×	body	320	valid
142.0ms	309×	body	160	valid
20.0ms	7×	body	5120	nan
15.0ms	109×	body	80	valid
14.0ms	10×	body	2560	nan
5.0ms	6×	body	1280	nan
4.0ms	10×	body	320	nan
4.0ms	7×	body	640	nan
2.0ms	10×	body	160	nan