Details

sample1.4s

Algorithm

intervals

Results

725.0ms	268×	body	10240	exit
278.0ms	106×	body	2560	valid
70.0ms	65×	body	1280	valid
46.0ms	640×	body	80	nan
40.0ms	50×	body	640	valid
10.0ms	23×	body	320	valid
5.0ms	3×	body	2560	nan
4.0ms	11×	body	160	valid
1.0ms	1×	body	1280	nan
0.0ms	1×	body	160	nan
0.0ms	1×	body	80	valid

simplify2.9s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.8b

localize12.0ms

Local error

Found 2 expressions with local error:

1.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
61.0b	(fmod (cosh a) (* a a))

rewrite11.0ms

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))

series22.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
15.0ms	(fmod (cosh a) (* a a))

simplify3.0s

Counts

25 → 25

Iterations

Useful iterations: 2 (17.0ms)

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

prune147.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 60.3b

localize13.0ms

Local error

Found 3 expressions with local error:

1.5b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.3b	(log (exp (fmod (cosh a) (* a a))))
61.0b	(fmod (cosh a) (* a a))

rewrite8.0ms

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

simplify4.4s

Counts

45 → 45

Iterations

Useful iterations: 2 (26.0ms)

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

prune228.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 60.3b

localize24.0ms

Local error

Found 3 expressions with local error:

0.4b	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
0.9b	(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
61.0b	(fmod (cosh a) (* a a))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`add-cube-cbrt`
39×	`prod-diff`
37×	`times-frac`
13×	`fma-neg`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`asin-acos` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `associate--r-`

Counts

3 → 89

Calls

3 calls:

2.0ms	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
48.0ms	(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
1.0ms	(fmod (cosh a) (* a a))

series67.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
55.0ms	(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
5.0ms	(fmod (cosh a) (* a a))

simplify2.5s

Counts

98 → 98

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	141	4094
1	282	2627
2	579	2050
3	1710	1507
done	5001	1474

prune445.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
8.2b	(- (/ PI 2) (* (sqrt (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (asin (pow (fmod (cosh a) (* a a)) (log1p a))))))
61.0b	(fmod (cosh a) (* a a))
61.0b	(fmod (cosh a) (* a a))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`fma-neg` `prod-diff`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`div-inv` `difference-of-squares`
1×	`sub-neg` `asin-acos` `flip3--` `diff-log` `flip--`

Counts

4 → 70

Calls

4 calls:

1.0ms	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
47.0ms	(- (/ PI 2) (* (sqrt (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (asin (pow (fmod (cosh a) (* a a)) (log1p a))))))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series64.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
51.0ms	(- (/ PI 2) (* (sqrt (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (asin (pow (fmod (cosh a) (* a a)) (log1p a))))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify3.0s

Counts

82 → 82

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	108	2469
1	220	1479
2	474	1417
3	1118	1358
4	3260	1087
done	5001	1049

prune373.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.7b

regimes164.0ms

Accuracy

0% (0.0b remaining)

Error of 59.3b against oracle of 59.3b and baseline of 59.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
done	13	27

end0.0ms

sample30.4s

Algorithm

intervals

Results

18.4s	7885×	body	10240	exit
6.5s	3081×	body	2560	valid
2.5s	2519×	body	1280	valid
962.0ms	16129×	body	80	nan
688.0ms	1308×	body	640	valid
235.0ms	631×	body	320	valid
92.0ms	349×	body	160	valid
18.0ms	7×	body	5120	nan
17.0ms	13×	body	2560	nan
15.0ms	112×	body	80	valid
5.0ms	8×	body	1280	nan
2.0ms	5×	body	640	nan
2.0ms	6×	body	320	nan
1.0ms	7×	body	160	nan