Details

sample1.3s

Algorithm

intervals

Results

779.0ms	291×	body	10240	exit
225.0ms	104×	body	2560	valid
113.0ms	72×	body	1280	valid
38.0ms	523×	body	80	nan
19.0ms	37×	body	640	valid
10.0ms	24×	body	320	valid
5.0ms	15×	body	160	valid
2.0ms	1×	body	5120	nan
1.0ms	1×	body	640	nan
1.0ms	4×	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	89	10
5	195	10
6	633	10
7	2582	10
done	5000	10

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
3.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.1b	(fmod (cosh a) (* a a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `unpow-prod-down` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 38

Calls

3 calls:

7.0ms	(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))

series112.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
15.0ms	(fmod (cosh a) (* a a))

simplify2.1s

Counts

47 → 47

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	99	779
1	218	752
2	595	710
3	2177	659
done	5000	656

prune273.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 59.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.7b	(log (exp (fmod (cosh a) (* a a))))
59.1b	(fmod (cosh a) (* a a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`log-pow`
7×	`pow1` `unpow-prod-down`
6×	`exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `log-prod`
1×	`acos-asin` `pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

10.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
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))

series98.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
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))

simplify2.2s

Counts

71 → 71

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	128	1155
1	250	1003
2	631	942
3	2239	891
done	5000	888

prune381.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 59.4b

localize21.0ms

Local error

Found 4 expressions with local error:

3.7b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
3.7b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

6.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series678.0ms

Counts

4 → 12

Calls

4 calls:

324.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
344.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify1.8s

Counts

66 → 66

Iterations

Useful iterations: 5 (75.0ms)

Iter	Nodes	Cost
0	46	770
1	60	756
2	74	680
3	87	670
4	105	670
5	136	666
6	203	666
7	425	666
8	1375	666
done	5000	666

prune550.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 59.3b

localize29.0ms

Local error

Found 4 expressions with local error:

3.7b	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite8.0ms

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:

5.0ms	(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))

series389.0ms

Counts

4 → 12

Calls

4 calls:

374.0ms	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.9s

Counts

62 → 62

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	59	699
1	74	679
2	86	614
3	98	614
4	113	614
5	140	614
6	200	614
7	427	614
8	1317	614
done	5000	614

prune468.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 59.3b

regimes439.0ms

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

sample34.9s

Algorithm

intervals

Results

20.2s	7698×	body	10240	exit
8.0s	3195×	body	2560	valid
2.8s	2459×	body	1280	valid
1.6s	15797×	body	80	nan
796.0ms	1254×	body	640	valid
268.0ms	656×	body	320	valid
129.0ms	330×	body	160	valid
33.0ms	12×	body	5120	nan
15.0ms	106×	body	80	valid
15.0ms	10×	body	2560	nan
7.0ms	9×	body	1280	nan
4.0ms	14×	body	320	nan
4.0ms	6×	body	640	nan
2.0ms	10×	body	160	nan