Details

sample661.0ms

Algorithm

intervals

Results

481.0ms	257×	body	10240	exit
79.0ms	68×	body	1280	valid
24.0ms	51×	body	640	valid
16.0ms	192×	body	80	nan
14.0ms	5×	body	2560	valid
11.0ms	34×	body	320	valid
10.0ms	83×	body	80	valid
3.0ms	14×	body	160	valid
1.0ms	1×	body	5120	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: 35.7b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
40.5b	(fmod (cosh c) (log1p a))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

2 → 16

Calls

2 calls:

0.0ms	(log1p a)
27.0ms	(fmod (cosh c) (log1p a))

series11.0ms

Counts

2 → 6

Calls

2 calls:

1.0ms	(log1p a)
10.0ms	(fmod (cosh c) (log1p a))

simplify1.3s

Counts

22 → 22

Iterations

Iter	Nodes
done	2003
9	2003
8	799
7	343
6	181
5	89
4	58
3	43
2	35
1	29
0	21

prune155.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 34.7b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.5b	(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×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`

Counts

4 → 44

Calls

4 calls:

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

series445.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (log1p a))
133.0ms	(cbrt (log1p a))
167.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	2025
6	2025
5	896
4	394
3	148
2	80
1	47
0	30

prune399.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 33.9b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
0.6b	(cbrt (cbrt (log1p a)))
40.5b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt (log1p a))
4.0ms	(cbrt (* (cbrt (log1p a)) (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 (log1p a)))) (cbrt (cbrt (log1p a))))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (log1p a))
142.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
149.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify1.4s

Counts

57 → 57

Iterations

Iter	Nodes
done	2005
5	2005
4	1410
3	410
2	166
1	90
0	56

prune570.0ms

Pruning

38 alts after pruning (38 fresh and 0 done)

Merged error: 33.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
0.6b	(cbrt (cbrt (log1p a)))
2.6b	(exp (log (cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))))
40.5b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (exp (log (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `exp-prod`
4×	`log-prod` `add-cbrt-cube` `exp-sum` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`log-pow`
1×	`rem-exp-log`

Counts

4 → 51

Calls

4 calls:

4.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
1.0ms	(cbrt (cbrt (log1p a)))
6.0ms	(exp (log (cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (exp (log (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))))

series514.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
158.0ms	(cbrt (cbrt (log1p a)))
198.0ms	(exp (log (cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (exp (log (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))))

simplify1.4s

Counts

63 → 63

Iterations

Iter	Nodes
done	2117
6	2117
5	1866
4	665
3	321
2	186
1	116
0	76

prune730.0ms

Pruning

51 alts after pruning (51 fresh and 0 done)

Merged error: 32.7b

regimes2.0s

Accuracy

0% (2.4b remaining)

Error of 33.8b against oracle of 31.3b and baseline of 33.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample22.0s

Algorithm

intervals

Results

15.6s	7730×	body	10240	exit
2.4s	2280×	body	1280	valid
1.4s	1607×	body	640	valid
750.0ms	165×	body	2560	valid
498.0ms	5066×	body	80	nan
367.0ms	2766×	body	80	valid
288.0ms	772×	body	320	valid
105.0ms	401×	body	160	valid
23.0ms	9×	body	5120	valid