Details

sample577.0ms

Algorithm

intervals

Results

415.0ms	237×	body	10240	exit
72.0ms	68×	body	1280	valid
19.0ms	58×	body	640	valid
13.0ms	8×	body	2560	valid
8.0ms	159×	body	80	nan
7.0ms	28×	body	320	valid
6.0ms	80×	body	80	valid
2.0ms	14×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.0b

localize74.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
40.7b	(fmod (cosh c) (log1p a))

rewrite8.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `log1p-expm1`

Counts

2 → 20

Calls

2 calls:

3.0ms	(log1p a)
2.0ms	(fmod (cosh c) (log1p a))

series62.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(log1p a)
15.0ms	(fmod (cosh c) (log1p a))

simplify706.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	960
2	259
1	104
0	48

prune191.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 34.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.6b	(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))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt (log1p a))
78.0ms	(cbrt (log1p a))
75.0ms	(cbrt (log1p a))
6.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.7s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	3207
2	676
1	214
0	89

prune499.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 34.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.6b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (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` `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 (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt (log1p a))
90.0ms	(cbrt (log1p a))
65.0ms	(cbrt (log1p a))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify1.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	3229
2	693
1	223
0	92

prune743.0ms

Pruning

34 alts after pruning (32 fresh and 2 done)

Merged error: 33.6b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.6b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))) (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` `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 (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))) (cbrt (log1p a))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt (log1p a))
74.0ms	(cbrt (log1p a))
69.0ms	(cbrt (log1p a))
8.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))) (cbrt (log1p a))))

simplify1.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	3115
2	686
1	225
0	94

prune525.0ms

Pruning

43 alts after pruning (42 fresh and 1 done)

Merged error: 33.4b

regimes1.9s

Accuracy

0% (1.9b remaining)

Error of 33.4b against oracle of 31.6b and baseline of 33.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample19.4s

Algorithm

intervals

Results

14.7s	7845×	body	10240	exit
1.8s	2261×	body	1280	valid
674.0ms	1554×	body	640	valid
376.0ms	5108×	body	80	nan
311.0ms	160×	body	2560	valid
287.0ms	793×	body	320	valid
240.0ms	2840×	body	80	valid
66.0ms	386×	body	160	valid
20.0ms	6×	body	5120	valid