Details

sample1.3s

Algorithm

intervals

Results

761.0ms	233×	body	10240	exit
242.0ms	96×	body	2560	valid
98.0ms	80×	body	1280	valid
42.0ms	492×	body	80	nan
22.0ms	36×	body	640	valid
10.0ms	22×	body	320	valid
6.0ms	18×	body	160	valid
2.0ms	1×	body	2560	nan
1.0ms	4×	body	80	valid
1.0ms	1×	body	640	nan
0.0ms	1×	body	320	nan

simplify4.2s

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	91	10
5	373	10
6	3269	10
done	5001	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize18.0ms

Local error

Found 2 expressions with local error:

2.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.3b	(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))

series14.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify3.0s

Counts

25 → 25

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	33	277
1	55	277
2	102	245
3	172	245
4	303	245
5	810	245
6	3964	245
done	5000	245

prune117.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.2b

localize15.0ms

Local error

Found 3 expressions with local error:

2.5b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
13.0b	(log (exp (fmod (cosh a) (* a a))))
59.3b	(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))

series9.0ms

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))

simplify3.4s

Counts

45 → 45

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	57	521
1	89	460
2	154	409
3	236	409
4	382	409
5	971	409
6	4705	409
done	5001	409

prune297.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 59.2b

localize26.0ms

Local error

Found 4 expressions with local error:

2.5b	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
59.3b	(fmod (cosh a) (pow a 2))
59.3b	(fmod (cosh a) (pow a 2))
59.3b	(fmod (cosh a) (pow a 2))

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) (pow a 2)) (log1p a)))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))

series12.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
3.0ms	(fmod (cosh a) (pow a 2))
3.0ms	(fmod (cosh a) (pow a 2))
3.0ms	(fmod (cosh a) (pow a 2))

simplify3.4s

Counts

49 → 49

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	29	481
1	44	481
2	69	425
3	127	425
4	250	425
5	749	425
6	3820	425
done	5000	425

prune312.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 59.2b

localize31.0ms

Local error

Found 3 expressions with local error:

1.5b	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
2.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.3b	(fmod (cosh a) (* a a))

rewrite11.0ms

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`
2×	`acos-asin`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

3 → 37

Calls

3 calls:

7.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series11.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify3.3s

Counts

46 → 46

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	61	612
1	95	573
2	160	510
3	255	510
4	420	510
5	1030	510
6	4872	510
done	5000	510

prune290.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 59.2b

regimes350.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 60.0b 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

sample36.2s

Algorithm

intervals

Results

20.6s	7823×	body	10240	exit
7.6s	3121×	body	2560	valid
2.9s	2551×	body	1280	valid
2.0s	16168×	body	80	nan
773.0ms	1286×	body	640	valid
709.0ms	613×	body	320	valid
331.0ms	94×	body	80	valid
101.0ms	335×	body	160	valid
16.0ms	6×	body	5120	nan
8.0ms	5×	body	1280	nan
6.0ms	6×	body	2560	nan
3.0ms	5×	body	640	nan
2.0ms	6×	body	320	nan
2.0ms	7×	body	160	nan