Details

sample934.0ms

Algorithm

intervals

Results

734.0ms	288×	body	10240	exit
82.0ms	79×	body	1280	valid
31.0ms	51×	body	640	valid
21.0ms	208×	body	80	nan
11.0ms	82×	body	80	valid
11.0ms	26×	body	320	valid
5.0ms	15×	body	160	valid
4.0ms	2×	body	2560	valid
3.0ms	1×	body	5120	valid

simplify43.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
40.0b	(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))

series55.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(log1p a)
15.0ms	(fmod (cosh c) (log1p a))

simplify1.9s

Counts

28 → 28

Iterations

Iter	Nodes
done	2016
5	2016
4	1851
3	712
2	259
1	106
0	50

prune400.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 34.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.0b	(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))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (log1p a))
84.0ms	(cbrt (log1p a))
76.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	2000
3	2000
2	573
1	216
0	91

prune1.2s

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 33.6b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.0b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite6.0ms

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:

2.0ms	(cbrt (log1p a))
2.0ms	(cbrt (log1p a))
2.0ms	(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))))))

series241.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(cbrt (log1p a))
86.0ms	(cbrt (log1p a))
77.0ms	(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))))))

simplify1.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	2000
3	2000
2	602
1	224
0	93

prune1.4s

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 33.4b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
40.0b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod`
6×	`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 → 50

Calls

4 calls:

1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
5.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))))

series257.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cbrt (log1p a))
67.0ms	(cbrt (log1p a))
107.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))))

simplify1.6s

Counts

62 → 62

Iterations

Iter	Nodes
done	2000
3	2000
2	1606
1	474
0	181

prune1.5s

Pruning

45 alts after pruning (44 fresh and 1 done)

Merged error: 32.8b

regimes2.0s

Accuracy

0% (1.9b remaining)

Error of 33.9b against oracle of 31.9b and baseline of 33.9b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample23.1s

Algorithm

intervals

Results

16.7s	7857×	body	10240	exit
2.7s	2246×	body	1280	valid
1.0s	1643×	body	640	valid
690.0ms	777×	body	320	valid
561.0ms	5395×	body	80	nan
416.0ms	2754×	body	80	valid
331.0ms	135×	body	2560	valid
171.0ms	438×	body	160	valid
21.0ms	7×	body	5120	valid