Details

sample628.0ms

Algorithm

intervals

Results

480.0ms	267×	body	10240	exit
59.0ms	82×	body	1280	valid
12.0ms	33×	body	640	valid
9.0ms	171×	body	80	nan
8.0ms	97×	body	80	valid
5.0ms	3×	body	2560	valid
5.0ms	21×	body	320	valid
3.0ms	19×	body	160	valid
2.0ms	1×	body	5120	valid

simplify70.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
done	16	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.4b

localize22.0ms

Local error

Found 1 expressions with local error:

36.5b

(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

1 → 7

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(fmod (cosh c) (log1p a))

simplify2.4s

Counts

10 → 10

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	12	75
1	19	75
2	24	65
3	30	65
4	36	65
5	46	65
6	67	65
7	145	65
8	430	65
9	1839	65
done	5001	65

prune71.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 32.3b

localize24.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
36.5b	(fmod (cosh c) (log1p a))

rewrite13.0ms

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×	`exp-sum` `add-cbrt-cube` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 34

Calls

3 calls:

7.0ms	(exp (log (fmod (cosh c) (log1p a))))
4.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series47.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
37.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(fmod (cosh c) (log1p a))

simplify4.8s

Counts

43 → 43

Iterations

Useful iterations: 4 (39.0ms)

Iter	Nodes	Cost
0	38	384
1	54	347
2	68	301
3	86	301
4	126	295
5	210	295
6	425	295
7	1201	295
8	4492	295
done	5000	295

prune217.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 32.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow E (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
36.5b	(fmod (cosh c) (log1p a))

rewrite7.0ms

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` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 41

Calls

3 calls:

4.0ms	(pow E (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series85.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(pow E (log (fmod (cosh c) (log1p a))))
29.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.3s

Counts

50 → 50

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	53	513
1	102	478
2	203	408
3	505	408
4	1525	406
done	5000	394

prune183.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 32.3b

localize31.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (fmod (cosh c) (log1p a)))
36.5b	(fmod (cosh c) (log1p a))
36.5b	(fmod (cosh c) (log1p a))
36.5b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 33

Calls

4 calls:

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

series40.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify5.2s

Counts

45 → 45

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	24	362
1	35	359
2	43	312
3	55	312
4	69	312
5	93	312
6	146	312
7	315	312
8	1009	312
9	4379	312
done	5001	312

prune206.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 32.3b

regimes313.0ms

Accuracy

0% (0.0b remaining)

Error of 34.1b against oracle of 34.1b and baseline of 34.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	25
1	14	25
2	16	25
done	16	25

end0.0ms

sample19.0s

Algorithm

intervals

Results

13.6s	7778×	body	10240	exit
1.8s	2325×	body	1280	valid
1.2s	5252×	body	80	nan
600.0ms	1509×	body	640	valid
269.0ms	162×	body	2560	valid
213.0ms	775×	body	320	valid
201.0ms	2774×	body	80	valid
128.0ms	446×	body	160	valid
19.0ms	9×	body	5120	valid