Details

sample901.0ms

Algorithm

intervals

Results

786.0ms	265×	body	10240	exit
40.0ms	65×	body	1280	valid
15.0ms	47×	body	640	valid
9.0ms	191×	body	80	nan
7.0ms	101×	body	80	valid
7.0ms	5×	body	2560	valid
5.0ms	25×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	12×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize38.0ms

Local error

Found 1 expressions with local error:

35.9b

(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 9

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series11.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(fmod (cosh c) (log1p a))

simplify2.0s

Counts

12 → 12

Iterations

Iter	Nodes
done	5000
8	1065
7	336
6	159
5	74
4	40
3	32
2	26
1	21
0	14

prune97.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 31.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 84

Calls

4 calls:

1.0ms	(sqrt (fmod (cosh c) (log1p a)))
12.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series34.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (fmod (cosh c) (log1p a)))
6.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
4.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify9.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
3	3901
2	460
1	123
0	63

prune511.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 31.7b

localize104.0ms

Local error

Found 4 expressions with local error:

35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

0.0ms	(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))

series19.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify2.4s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
8	1065
7	336
6	159
5	74
4	40
3	32
2	26
1	21
0	14

prune472.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 31.7b

localize88.0ms

Local error

Found 4 expressions with local error:

35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

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

series22.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify2.2s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
8	1065
7	336
6	159
5	74
4	40
3	32
2	26
1	21
0	14

prune326.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 31.7b

regimes771.0ms

Accuracy

0% (0.0b remaining)

Error of 34.0b against oracle of 33.9b and baseline of 34.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample17.9s

Algorithm

intervals

Results

12.8s	7798×	body	10240	exit
2.1s	2261×	body	1280	valid
861.0ms	5234×	body	80	nan
680.0ms	1580×	body	640	valid
264.0ms	2810×	body	80	valid
252.0ms	154×	body	2560	valid
175.0ms	792×	body	320	valid
87.0ms	395×	body	160	valid
20.0ms	8×	body	5120	valid