Details

sample631.0ms

Algorithm

intervals

Results

446.0ms	234×	body	10240	exit
96.0ms	70×	body	1280	valid
26.0ms	48×	body	640	valid
14.0ms	157×	body	80	nan
12.0ms	98×	body	80	valid
9.0ms	26×	body	320	valid
3.0ms	2×	body	2560	valid
3.0ms	12×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	14
2	14
1	11
0	5

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize53.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh c)
0.0b	(log1p a)
37.1b	(fmod (cosh c) (log1p a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
1×	`cosh-def`

Counts

3 → 22

Calls

3 calls:

4.0ms	(cosh c)
0.0ms	(log1p a)
1.0ms	(fmod (cosh c) (log1p a))

series82.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(cosh c)
2.0ms	(log1p a)
15.0ms	(fmod (cosh c) (log1p a))

simplify4.0s

Counts

31 → 31

Iterations

Iter	Nodes
6	5154
5	1713
4	684
3	290
2	135
1	79
0	47

prune348.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 31.8b

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))
37.1b	(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×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`pow1/3`

Counts

4 → 40

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))))

series391.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (log1p a))
114.0ms	(cbrt (log1p a))
131.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify7.5s

Counts

52 → 52

Iterations

Iter	Nodes
6	7263
5	1306
4	361
3	137
2	76
1	43
0	28

prune664.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 31.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite2.0ms

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` `add-log-exp`
3×	`pow1/3`

Counts

4 → 40

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

series422.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (log1p a))
112.0ms	(cbrt (log1p a))
139.0ms	(cbrt (log1p a))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify2.3s

Counts

52 → 52

Iterations

Iter	Nodes
5	3871
4	722
3	220
2	104
1	51
0	30

prune997.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 30.8b

localize95.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.1b	(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))))))

rewrite5.0ms

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` `add-log-exp`
3×	`pow1/3`

Counts

4 → 40

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

series470.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (log1p a))
146.0ms	(cbrt (log1p a))
166.0ms	(cbrt (log1p a))
7.0ms	(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))))))

simplify2.1s

Counts

52 → 52

Iterations

Iter	Nodes
5	3355
4	791
3	268
2	110
1	56
0	33

prune836.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 30.7b

regimes1.6s

Accuracy

0% (1.7b remaining)

Error of 33.8b against oracle of 32.1b and baseline of 33.8b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	20
1	20
0	16

end0.0ms

sample22.8s

Algorithm

intervals

Results

16.5s	7818×	body	10240	exit
2.3s	2258×	body	1280	valid
1.5s	1619×	body	640	valid
714.0ms	796×	body	320	valid
570.0ms	5407×	body	80	nan
447.0ms	2792×	body	80	valid
241.0ms	125×	body	2560	valid
107.0ms	401×	body	160	valid
20.0ms	9×	body	5120	valid