Details

sample862.0ms

Algorithm

intervals

Results

627.0ms	281×	body	10240	exit
77.0ms	78×	body	1280	valid
72.0ms	181×	body	80	nan
29.0ms	53×	body	640	valid
11.0ms	31×	body	320	valid
9.0ms	78×	body	80	valid
4.0ms	14×	body	160	valid
2.0ms	1×	body	2560	valid
2.0ms	1×	body	5120	valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
5	40
4	40
3	38
2	34
1	21
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
41.0b	(fmod (cosh c) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 17

Calls

2 calls:

4.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series104.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(cosh c)
15.0ms	(fmod (cosh c) (log1p a))

simplify3.8s

Counts

23 → 23

Iterations

Iter	Nodes
7	7872
6	1945
5	781
4	387
3	241
2	184
1	147
0	42

prune290.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 36.0b

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))))
41.0b	(fmod (cosh c) (log1p a))
41.0b	(fmod (cosh c) (log1p a))

rewrite24.0ms

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×	`insert-posit16` `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 → 80

Calls

4 calls:

2.0ms	(sqrt (fmod (cosh c) (log1p a)))
19.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series31.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (fmod (cosh c) (log1p a)))
5.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
4.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify2.4s

Counts

92 → 92

Iterations

Iter	Nodes
5	4219
4	956
3	500
2	298
1	191
0	60

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 36.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (sqrt (fmod (cosh c) (log1p a))))) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
41.0b	(fmod (cosh c) (log1p a))
41.0b	(fmod (cosh c) (log1p a))
41.0b	(fmod (cosh c) (log1p a))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

35×	`sqrt-pow1`
34×	`pow1`
26×	`pow-prod-up`
19×	`pow1/2`
11×	`add-sqr-sqrt` `sqrt-prod`
9×	`add-cbrt-cube` `associate-r` `add-exp-log`
7×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
4×	`pow3` `insert-posit16` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`pow-plus` `sqrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 68

Calls

4 calls:

59.0ms	(* (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (sqrt (fmod (cosh c) (log1p a))))) (sqrt (sqrt (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))

series13.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (sqrt (fmod (cosh c) (log1p a))))) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
2.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify2.1s

Counts

80 → 80

Iterations

Iter	Nodes
5	2969
4	1516
3	1139
2	691
1	362
0	84

prune958.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 36.0b

localize52.0ms

Local error

Found 4 expressions with local error:

41.0b	(fmod (cosh c) (log1p a))
41.0b	(fmod (cosh c) (log1p a))
41.0b	(fmod (cosh c) (log1p a))
41.0b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

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))

series19.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(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))

simplify5.0s

Counts

44 → 44

Iterations

Iter	Nodes
10	6834
9	1482
8	528
7	257
6	154
5	108
4	82
3	68
2	58
1	43
0	13

prune602.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 36.0b

regimes704.0ms

Accuracy

0% (0.1b remaining)

Error of 34.5b against oracle of 34.4b and baseline of 34.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	14
1	14
0	11

end0.0ms

sample15.8s

Algorithm

intervals

Results

11.4s	7772×	body	10240	exit
1.9s	2368×	body	1280	valid
667.0ms	1568×	body	640	valid
628.0ms	5241×	body	80	nan
268.0ms	2729×	body	80	valid
248.0ms	767×	body	320	valid
226.0ms	143×	body	2560	valid
77.0ms	417×	body	160	valid
15.0ms	8×	body	5120	valid