Details

sample598.0ms

Algorithm

intervals

Results

454.0ms	254×	body	10240	exit
52.0ms	75×	body	1280	valid
25.0ms	62×	body	640	valid
14.0ms	7×	body	2560	valid
9.0ms	167×	body	80	nan
7.0ms	28×	body	320	valid
5.0ms	72×	body	80	valid
2.0ms	12×	body	160	valid

simplify14.0ms

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: 37.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
42.8b	(fmod (cosh c) (log1p a))

rewrite26.0ms

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:

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

series38.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(log1p a)
11.0ms	(fmod (cosh c) (log1p a))

simplify2.4s

Counts

28 → 28

Iterations

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

prune176.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 36.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
42.8b	(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))))

series206.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(cbrt (log1p a))
67.0ms	(cbrt (log1p a))
59.0ms	(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

prune422.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 35.7b

localize52.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
42.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
42.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `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`
2×	`pow1/3`

Counts

4 → 48

Calls

4 calls:

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

series164.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(cbrt (log1p a))
75.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
6.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify2.2s

Counts

60 → 60

Iterations

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

prune656.0ms

Pruning

31 alts after pruning (29 fresh and 2 done)

Merged error: 35.3b

localize88.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
42.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
42.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `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`
2×	`pow1/3`

Counts

4 → 48

Calls

4 calls:

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

series122.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(cbrt (log1p a))
60.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
6.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify2.2s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	2352
2	609
1	236
0	104

prune670.0ms

Pruning

40 alts after pruning (38 fresh and 2 done)

Merged error: 35.1b

regimes1.9s

Accuracy

0% (1.7b remaining)

Error of 34.0b against oracle of 32.2b and baseline of 34.0b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample20.0s

Algorithm

intervals

Results

14.6s	7930×	body	10240	exit
2.4s	2329×	body	1280	valid
710.0ms	789×	body	320	valid
694.0ms	1557×	body	640	valid
420.0ms	5134×	body	80	nan
302.0ms	149×	body	2560	valid
289.0ms	2744×	body	80	valid
76.0ms	423×	body	160	valid
22.0ms	9×	body	5120	valid