Details

sample779.0ms

Algorithm

intervals

Results

555.0ms	258×	body	10240	exit
111.0ms	74×	body	1280	valid
32.0ms	55×	body	640	valid
16.0ms	8×	body	2560	valid
15.0ms	165×	body	80	nan
11.0ms	28×	body	320	valid
9.0ms	77×	body	80	valid
5.0ms	14×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.5b

localize463.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
41.5b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`expm1-log1p-u`
2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `log1p-expm1`

Counts

2 → 22

Calls

2 calls:

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

series59.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(log1p a)
16.0ms	(fmod (cosh c) (log1p a))

simplify2.5s

Counts

28 → 28

Iterations

Iter	Nodes
done	5001
4	1851
3	712
2	259
1	106
0	50

prune142.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 35.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
41.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 52

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))))

series209.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (log1p a))
74.0ms	(cbrt (log1p a))
80.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify2.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	2281
2	573
1	216
0	91

prune567.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 34.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
41.5b	(fmod (cosh c) (* (* (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

27×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(cbrt (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))))))

series237.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt (cbrt (log1p a)))
74.0ms	(cbrt (cbrt (log1p a)))
96.0ms	(cbrt (cbrt (log1p a)))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify2.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5008
3	2468
2	608
1	222
0	101

prune746.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 34.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
41.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 61

Calls

4 calls:

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

series217.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(cbrt (cbrt (log1p a)))
72.0ms	(cbrt (cbrt (log1p a)))
71.0ms	(cbrt (cbrt (log1p a)))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))))

simplify2.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	2563
2	648
1	230
0	103

prune549.0ms

Pruning

47 alts after pruning (46 fresh and 1 done)

Merged error: 33.9b

regimes1.9s

Accuracy

0% (2.0b remaining)

Error of 34.2b against oracle of 32.2b and baseline of 34.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample23.2s

Algorithm

intervals

Results

16.3s	7786×	body	10240	exit
2.8s	2381×	body	1280	valid
1.8s	1581×	body	640	valid
578.0ms	5231×	body	80	nan
377.0ms	2710×	body	80	valid
328.0ms	159×	body	2560	valid
278.0ms	771×	body	320	valid
158.0ms	388×	body	160	valid
26.0ms	10×	body	5120	valid