Details

sample327.0ms

Algorithm

intervals

Results

246.0ms	236×	body	10240	exit
32.0ms	72×	body	1280	valid
11.0ms	52×	body	640	valid
7.0ms	6×	body	2560	valid
5.0ms	93×	body	80	valid
4.0ms	151×	body	80	nan
2.0ms	20×	body	160	valid
2.0ms	13×	body	320	valid

simplify28.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
4	18	5
5	19	5
6	25	5
7	36	5
8	62	5
9	164	5
10	1537	5
done	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
37.4b	(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`expm1-log1p-u`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `log1p-expm1`

Counts

2 → 20

Calls

2 calls:

0.0ms	(log1p a)
0.0ms	(fmod (cosh c) (log1p a))

series24.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(log1p a)
2.0ms	(fmod (cosh c) (log1p a))

simplify4.4s

Counts

26 → 26

Iterations

Useful iterations: 4 (573.0ms)

Iter	Nodes	Cost
0	48	174
1	98	166
2	258	151
3	834	150
4	4073	143
done	5000	143

prune91.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

0.0ms	(cbrt (log1p a))
0.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt (log1p a))
46.0ms	(cbrt (log1p a))
50.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.3s

Counts

60 → 60

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	89	876
1	217	816
2	653	665
3	3078	542
done	5000	521

prune237.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 31.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (cbrt (log1p a)))
37.4b	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 51

Calls

4 calls:

0.0ms	(cbrt (log1p a))
0.0ms	(cbrt (log1p a))
1.0ms	(cbrt (cbrt (log1p a)))
0.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series148.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt (log1p a))
50.0ms	(cbrt (log1p a))
47.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify415.0ms

Counts

63 → 63

Iterations

Useful iterations: done (413.0ms)

Iter	Nodes	Cost
0	153	1045
1	386	995
2	1226	881
done	5001	833

prune396.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 31.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (log1p a)))
37.4b	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
37.4b	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
37.4b	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (cbrt (log1p a)))
0.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
0.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
0.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
3.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
3.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.2s

Counts

55 → 55

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	101	1221
1	227	1211
2	621	1043
3	2813	1018
done	5000	1012

prune271.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 31.0b

regimes913.0ms

Accuracy

0% (2.0b remaining)

Error of 33.8b against oracle of 31.8b and baseline of 33.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	88
1	31	88
done	31	88

end0.0ms

sample9.9s

Algorithm

intervals

Results

7.6s	7889×	body	10240	exit
1.0s	2326×	body	1280	valid
336.0ms	1617×	body	640	valid
142.0ms	5215×	body	80	nan
127.0ms	126×	body	2560	valid
108.0ms	2770×	body	80	valid
91.0ms	752×	body	320	valid
38.0ms	401×	body	160	valid
12.0ms	8×	body	5120	valid