Details

sample388.0ms

Algorithm

intervals

Results

299.0ms	283×	body	10240	exit
31.0ms	70×	body	1280	valid
11.0ms	53×	body	640	valid
6.0ms	213×	body	80	nan
6.0ms	5×	body	2560	valid
4.0ms	35×	body	320	valid
4.0ms	83×	body	80	valid
1.0ms	1×	body	5120	valid
1.0ms	9×	body	160	valid

simplify220.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	18	3
4	19	3
5	24	3
6	44	3
7	69	3
8	169	3
9	1127	3
10	5002	3
done	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.6b

localize6.0ms

Local error

Found 1 expressions with local error:

40.2b

(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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`

Counts

1 → 9

Calls

1 calls:

0.0ms

(fmod (cosh c) (log1p a))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(fmod (cosh c) (log1p a))

simplify97.0ms

Counts

12 → 12

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	57
1	26	50
2	31	50
3	38	50
4	58	50
5	117	50
6	567	50
7	1852	50
8	5001	50
done	5001	50

prune39.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.1b	(log (fmod (cosh c) (log1p a)))
40.2b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series27.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
21.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify83.0ms

Counts

49 → 49

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	61	260
1	87	232
2	110	226
3	158	220
4	303	220
5	741	220
6	2510	220
7	5002	220
done	5002	220

prune137.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 35.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow E (log (fmod (cosh c) (log1p a))))
1.1b	(log (fmod (cosh c) (log1p a)))
40.2b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

4.0ms	(pow E (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series73.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(pow E (log (fmod (cosh c) (log1p a))))
21.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify193.0ms

Counts

56 → 56

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	107	354
1	296	327
2	973	323
3	4649	321
4	5001	321
done	5001	321

prune180.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 35.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (log (fmod (cosh c) (log1p a))) 3)
0.7b	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.1b	(log (fmod (cosh c) (log1p a)))
40.2b	(fmod (cosh c) (log1p a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow-unpow`
14×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `unpow-prod-down`
8×	`cube-prod`
7×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `pow-exp` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3`
1×	`e-exp-1` `rem-log-exp` `rem-cube-cbrt`

Counts

4 → 84

Calls

4 calls:

3.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
5.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series108.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
49.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
20.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify33.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	200	634
1	712	579
2	5001	575
done	5001	575

prune249.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 35.5b

regimes416.0ms

Accuracy

0% (0.0b remaining)

Error of 34.0b against oracle of 34.0b and baseline of 34.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9
done	13	9

end0.0ms

sample10.5s

Algorithm

intervals

Results

8.0s	7859×	body	10240	exit
982.0ms	2226×	body	1280	valid
342.0ms	1593×	body	640	valid
173.0ms	156×	body	2560	valid
154.0ms	5235×	body	80	nan
116.0ms	2797×	body	80	valid
106.0ms	819×	body	320	valid
36.0ms	397×	body	160	valid
17.0ms	12×	body	5120	valid