Details

sample686.0ms

Algorithm

intervals

Results

514.0ms	234×	body	10240	exit
72.0ms	70×	body	1280	valid
26.0ms	48×	body	640	valid
15.0ms	157×	body	80	nan
13.0ms	98×	body	80	valid
11.0ms	26×	body	320	valid
4.0ms	2×	body	2560	valid
3.0ms	12×	body	160	valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	14
2	14
1	11
0	5

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh c)
0.0b	(log1p a)
37.1b	(fmod (cosh c) (log1p a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`expm1-log1p-u`
3×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `cosh-def` `log1p-expm1`

Counts

3 → 30

Calls

3 calls:

2.0ms	(cosh c)
2.0ms	(log1p a)
1.0ms	(fmod (cosh c) (log1p a))

series126.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(cosh c)
32.0ms	(log1p a)
15.0ms	(fmod (cosh c) (log1p a))

simplify3.4s

Counts

39 → 39

Iterations

Iter	Nodes
5	5004
4	1941
3	738
2	306
1	151
0	74

prune372.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 31.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 48

Calls

4 calls:

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

series241.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt (log1p a))
85.0ms	(cbrt (log1p a))
89.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify6.0s

Counts

60 → 60

Iterations

Iter	Nodes
4	7224
3	1888
2	581
1	213
0	89

prune879.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 31.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 48

Calls

4 calls:

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

series228.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt (log1p a))
70.0ms	(cbrt (log1p a))
86.0ms	(cbrt (log1p a))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify5.9s

Counts

60 → 60

Iterations

Iter	Nodes
4	7795
3	1965
2	607
1	221
0	91

prune1.1s

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 30.8b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 48

Calls

4 calls:

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

series200.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(cbrt (log1p a))
57.0ms	(cbrt (log1p a))
75.0ms	(cbrt (log1p a))
7.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify5.7s

Counts

60 → 60

Iterations

Iter	Nodes
4	7530
3	1966
2	617
1	227
0	94

prune1.1s

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 30.7b

regimes1.3s

Accuracy

0% (1.7b remaining)

Error of 33.8b against oracle of 32.1b and baseline of 33.8b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	20
1	20
0	16

end0.0ms

sample23.0s

Algorithm

intervals

Results

16.4s	7818×	body	10240	exit
2.6s	2258×	body	1280	valid
1.3s	1619×	body	640	valid
1.1s	5407×	body	80	nan
386.0ms	2792×	body	80	valid
324.0ms	796×	body	320	valid
256.0ms	125×	body	2560	valid
108.0ms	401×	body	160	valid
23.0ms	9×	body	5120	valid