Details

sample834.0ms

Algorithm

intervals

Results

643.0ms	288×	body	10240	exit
74.0ms	75×	body	1280	valid
27.0ms	45×	body	640	valid
19.0ms	201×	body	80	nan
14.0ms	32×	body	320	valid
13.0ms	8×	body	2560	valid
11.0ms	87×	body	80	valid
2.0ms	9×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	14
2	14
1	11
0	5

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.2b

localize43.0ms

Local error

Found 1 expressions with local error:

38.5b

(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

1 → 8

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(fmod (cosh c) (log1p a))

simplify5.7s

Counts

11 → 11

Iterations

Iter	Nodes
10	6603
9	1480
8	473
7	196
6	96
5	57
4	37
3	29
2	25
1	20
0	13

prune96.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 34.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.7b	(exp (log (fmod (cosh c) (log1p a))))
0.9b	(log (fmod (cosh c) (log1p a)))
38.5b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`exp-prod` `add-exp-log`
3×	`add-cbrt-cube` `exp-sum` `insert-posit16` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 37

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series26.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
20.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.7s

Counts

46 → 46

Iterations

Iter	Nodes
8	3616
7	1277
6	588
5	322
4	190
3	120
2	85
1	61
0	41

prune417.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 33.9b

localize19.0ms

Local error

Found 3 expressions with local error:

0.9b	(log (fmod (cosh c) (log1p a)))
0.9b	(pow E (log (fmod (cosh c) (log1p a))))
38.5b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`unpow-prod-up` `unpow-prod-down` `add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 44

Calls

3 calls:

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

series117.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(log (fmod (cosh c) (log1p a)))
70.0ms	(pow E (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.5s

Counts

53 → 53

Iterations

Iter	Nodes
5	4595
4	1656
3	607
2	237
1	118
0	56

prune553.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 33.9b

localize59.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
38.5b	(fmod (cosh c) (log1p a))
38.5b	(fmod (cosh c) (log1p a))
38.5b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`pow-unpow` `add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`unpow-prod-down`
2×	`pow-exp`
1×	`cbrt-prod` `pow-to-exp` `e-exp-1` `pow-pow` `sqr-pow`

Counts

4 → 44

Calls

4 calls:

4.0ms	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (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))

series95.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify2.4s

Counts

56 → 56

Iterations

Iter	Nodes
5	3353
4	1321
3	491
2	188
1	93
0	48

prune559.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 33.9b

regimes668.0ms

Accuracy

0% (0.2b remaining)

Error of 34.1b against oracle of 33.9b and baseline of 34.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	12
1	12
0	11

end0.0ms

sample23.3s

Algorithm

intervals

Results

16.0s	7798×	body	10240	exit
2.8s	2361×	body	1280	valid
1.7s	1505×	body	640	valid
553.0ms	5220×	body	80	nan
528.0ms	422×	body	160	valid
405.0ms	2769×	body	80	valid
332.0ms	786×	body	320	valid
305.0ms	148×	body	2560	valid
28.0ms	9×	body	5120	valid