Details

sample561.0ms

Algorithm

intervals

Results

437.0ms	259×	body	10240	exit
50.0ms	71×	body	1280	valid
18.0ms	48×	body	640	valid
9.0ms	164×	body	80	nan
7.0ms	90×	body	80	valid
6.0ms	26×	body	320	valid
5.0ms	3×	body	2560	valid
3.0ms	18×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
38.4b	(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:

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

series42.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(log1p a)
10.0ms	(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

prune208.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 33.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
38.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite7.0ms

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 (log1p a))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(cbrt (log1p a))
81.0ms	(cbrt (log1p a))
96.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify2.0s

Counts

64 → 64

Iterations

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

prune544.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 32.3b

localize69.0ms

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)))
38.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite11.0ms

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:

3.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(cbrt (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))))))

series214.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt (cbrt (log1p a)))
76.0ms	(cbrt (cbrt (log1p a)))
68.0ms	(cbrt (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))))))

simplify2.4s

Counts

73 → 73

Iterations

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

prune736.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 31.8b

localize109.0ms

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)))
38.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (cbrt (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))))

rewrite5.0ms

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 (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (cbrt (log1p a)))
69.0ms	(cbrt (cbrt (log1p a)))
52.0ms	(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 (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))))

simplify2.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	2455
2	645
1	230
0	103

prune655.0ms

Pruning

38 alts after pruning (38 fresh and 0 done)

Merged error: 31.6b

regimes1.5s

Accuracy

0% (2.0b remaining)

Error of 34.0b against oracle of 32.1b and baseline of 34.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample19.3s

Algorithm

intervals

Results

13.7s	7657×	body	10240	exit
1.9s	2319×	body	1280	valid
1.2s	5392×	body	80	nan
714.0ms	1611×	body	640	valid
641.0ms	2741×	body	80	valid
268.0ms	154×	body	2560	valid
217.0ms	759×	body	320	valid
98.0ms	407×	body	160	valid
21.0ms	9×	body	5120	valid