Details

sample1.4s

Algorithm

intervals

Results

576.0ms	197×	body	10240	exit
328.0ms	97×	body	2560	valid
100.0ms	77×	body	1280	valid
38.0ms	407×	body	80	nan
32.0ms	46×	body	640	valid
10.0ms	20×	body	320	valid
7.0ms	11×	body	160	valid
1.0ms	5×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize25.0ms

Local error

Found 2 expressions with local error:

2.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.5b	(fmod (cosh a) (* a a))

rewrite7.0ms

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:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series32.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
16.0ms	(fmod (cosh a) (* a a))

simplify3.1s

Counts

25 → 25

Iterations

Useful iterations: 2 (24.0ms)

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

prune146.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.5b

localize30.0ms

Local error

Found 3 expressions with local error:

2.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.3b	(log (exp (fmod (cosh a) (* a a))))
58.5b	(fmod (cosh a) (* a a))

rewrite10.0ms

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))

series17.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(fmod (cosh a) (* a a))

simplify4.5s

Counts

45 → 45

Iterations

Useful iterations: 2 (54.0ms)

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

prune291.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.5b

localize35.0ms

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)))))
58.5b	(fmod (cosh a) (* a a))
58.5b	(fmod (cosh a) (* a a))

rewrite22.0ms

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)))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series336.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
144.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.4s

Counts

74 → 74

Iterations

Useful iterations: 2 (21.0ms)

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

prune501.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.4b

localize32.0ms

Local error

Found 4 expressions with local error:

58.5b	(fmod (cosh a) (* a a))
58.5b	(fmod (cosh a) (* a a))
58.5b	(fmod (cosh a) (* a a))
58.5b	(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`

Counts

4 → 36

Calls

4 calls:

0.0ms	(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))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(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))

simplify4.2s

Counts

48 → 48

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	16	408
1	26	408
2	38	360
3	47	360
4	59	360
5	79	360
6	121	360
7	262	360
8	852	360
9	3651	360
done	5000	360

prune434.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.4b

regimes304.0ms

Accuracy

0% (0.4b remaining)

Error of 60.1b against oracle of 59.7b and baseline of 60.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
done	9	12

end0.0ms

sample37.9s

Algorithm

intervals

Results

21.4s	7920×	body	10240	exit
8.6s	3180×	body	2560	valid
2.9s	2456×	body	1280	valid
2.6s	15661×	body	80	nan
902.0ms	1226×	body	640	valid
283.0ms	673×	body	320	valid
105.0ms	333×	body	160	valid
21.0ms	132×	body	80	valid
15.0ms	4×	body	5120	nan
6.0ms	6×	body	1280	nan
6.0ms	5×	body	2560	nan
3.0ms	9×	body	320	nan
2.0ms	4×	body	640	nan
2.0ms	6×	body	160	nan