Details

sample950.0ms

Algorithm

intervals

Results

416.0ms	229×	body	10240	exit
163.0ms	97×	body	2560	valid
65.0ms	84×	body	1280	valid
22.0ms	510×	body	80	nan
15.0ms	36×	body	640	valid
8.0ms	29×	body	320	valid
1.0ms	5×	body	160	valid
1.0ms	5×	body	80	valid

simplify2.6s

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	87	10
5	191	10
6	706	10
7	2876	10
done	5000	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize11.0ms

Local error

Found 2 expressions with local error:

1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.7b	(fmod (cosh a) (* a a))

rewrite3.0ms

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))

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify1.6s

Counts

25 → 25

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	33	277
1	49	277
2	67	245
3	128	245
4	341	245
5	1381	245
done	5001	245

prune89.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.8b

localize13.0ms

Local error

Found 3 expressions with local error:

1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.3b	(log (exp (fmod (cosh a) (* a a))))
59.7b	(fmod (cosh a) (* a a))

rewrite3.0ms

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:

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

series10.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify1.9s

Counts

45 → 45

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	57	521
1	79	460
2	105	409
3	177	409
4	479	409
5	1935	409
done	5000	409

prune171.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.8b

localize15.0ms

Local error

Found 4 expressions with local error:

2.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))

rewrite5.0ms

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:

2.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series222.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
111.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify1.7s

Counts

74 → 74

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	53	850
1	70	802
2	91	726
3	142	726
4	361	726
5	1456	726
done	5001	726

prune334.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 59.8b

localize21.0ms

Local error

Found 4 expressions with local error:

2.2b	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

2.0ms	(log (sqrt (cbrt (exp (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))

series214.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts

62 → 62

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	59	699
1	74	679
2	88	614
3	129	614
4	303	614
5	1142	614
done	5000	614

prune331.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.7b

regimes179.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
done	9	12

end0.0ms

sample23.3s

Algorithm

intervals

Results

14.2s	8024×	body	10240	exit
5.1s	3148×	body	2560	valid
1.9s	2522×	body	1280	valid
721.0ms	16165×	body	80	nan
506.0ms	1226×	body	640	valid
185.0ms	652×	body	320	valid
67.0ms	320×	body	160	valid
15.0ms	7×	body	5120	nan
13.0ms	132×	body	80	valid
10.0ms	10×	body	2560	nan
4.0ms	7×	body	1280	nan
2.0ms	5×	body	640	nan
1.0ms	5×	body	320	nan
1.0ms	5×	body	160	nan