Details

sample1.7s

Algorithm

intervals

Results

1.3s	273×	body	10240	exit
95.0ms	73×	body	1280	valid
50.0ms	230×	body	80	nan
39.0ms	48×	body	640	valid
17.0ms	95×	body	80	valid
9.0ms	22×	body	320	valid
8.0ms	3×	body	2560	valid
6.0ms	15×	body	160	valid

simplify46.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune619.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.4b

localize97.0ms

Local error

Found 1 expressions with local error:

36.9b

(fmod (cosh c) (log1p a))

rewrite71.0ms

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:

31.0ms

(fmod (cosh c) (log1p a))

series195.0ms

Counts

1 → 3

Calls

1 calls:

192.0ms

(fmod (cosh c) (log1p a))

simplify2.9s

Counts

10 → 10

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	12	75
1	19	75
2	24	65
3	30	65
4	38	65
5	72	65
6	148	65
7	334	65
8	1002	65
done	5001	65

prune138.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 32.4b

localize43.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
0.9b	(log (fmod (cosh c) (log1p a)))
36.9b	(fmod (cosh c) (log1p a))

rewrite53.0ms

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:

12.0ms	(exp (log (fmod (cosh c) (log1p a))))
34.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

series98.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(exp (log (fmod (cosh c) (log1p a))))
81.0ms	(log (fmod (cosh c) (log1p a)))
8.0ms	(fmod (cosh c) (log1p a))

simplify8.0s

Counts

43 → 43

Iterations

Useful iterations: 4 (317.0ms)

Iter	Nodes	Cost
0	38	384
1	62	347
2	98	301
3	153	301
4	241	295
5	421	295
6	1047	295
7	4342	295
done	5001	295

prune352.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 32.4b

localize119.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow E (log (fmod (cosh c) (log1p a))))
0.9b	(log (fmod (cosh c) (log1p a)))
36.9b	(fmod (cosh c) (log1p a))

rewrite25.0ms

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:

16.0ms	(pow E (log (fmod (cosh c) (log1p a))))
6.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series271.0ms

Counts

3 → 9

Calls

3 calls:

191.0ms	(pow E (log (fmod (cosh c) (log1p a))))
72.0ms	(log (fmod (cosh c) (log1p a)))
7.0ms	(fmod (cosh c) (log1p a))

simplify1.4s

Counts

50 → 50

Iterations

Useful iterations: 2 (294.0ms)

Iter	Nodes	Cost
0	53	513
1	135	480
2	562	408
done	5000	408

prune672.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 32.4b

localize30.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow E (log (fmod (cosh c) (log1p a))))
0.9b	(log (fmod (cosh c) (log1p a)))
36.9b	(fmod (cosh c) (log1p a))

rewrite19.0ms

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:

11.0ms	(pow E (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series192.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(pow E (log (fmod (cosh c) (log1p a))))
43.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(fmod (cosh c) (log1p a))

simplify1.3s

Counts

50 → 50

Iterations

Useful iterations: 2 (254.0ms)

Iter	Nodes	Cost
0	53	513
1	135	480
2	562	408
done	5000	408

prune437.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 32.4b

regimes919.0ms

Accuracy

0% (0.0b remaining)

Error of 34.2b against oracle of 34.2b and baseline of 34.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	10
1	14	8
2	15	8
done	15	8

end0.0ms

sample53.0s

Algorithm

intervals

Results

35.5s	7717×	body	10240	exit
7.0s	2324×	body	1280	valid
3.8s	1529×	body	640	valid
2.0s	5166×	body	80	nan
1.2s	2762×	body	80	valid
425.0ms	151×	body	2560	valid
353.0ms	791×	body	320	valid
127.0ms	434×	body	160	valid
42.0ms	9×	body	5120	valid