Details

sample549.0ms

Algorithm

intervals

Results

408.0ms	222×	body	10240	exit
59.0ms	79×	body	1280	valid
17.0ms	43×	body	640	valid
9.0ms	165×	body	80	nan
8.0ms	5×	body	2560	valid
6.0ms	29×	body	320	valid
6.0ms	85×	body	80	valid
3.0ms	15×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.9b

localize19.0ms

Local error

Found 1 expressions with local error:

39.5b

(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 7

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series10.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(fmod (cosh c) (log1p a))

simplify1.8s

Counts

10 → 10

Iterations

Iter	Nodes
done	5001
8	1006
7	334
6	148
5	72
4	38
3	30
2	24
1	19
0	12

prune117.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 34.9b

localize35.0ms

Local error

Found 3 expressions with local error:

0.7b	(log (fmod (cosh c) (log1p a)))
0.8b	(exp (log (fmod (cosh c) (log1p a))))
39.5b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 34

Calls

3 calls:

2.0ms	(log (fmod (cosh c) (log1p a)))
7.0ms	(exp (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series48.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(exp (log (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))

simplify3.6s

Counts

43 → 43

Iterations

Iter	Nodes
done	5002
7	4269
6	959
5	380
4	209
3	145
2	93
1	61
0	38

prune358.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 34.9b

localize34.0ms

Local error

Found 3 expressions with local error:

0.7b	(log (fmod (cosh c) (log1p a)))
1.0b	(pow E (log (fmod (cosh c) (log1p a))))
39.5b	(fmod (cosh c) (log1p a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`unpow-prod-up` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 41

Calls

3 calls:

2.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(pow E (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series113.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(log (fmod (cosh c) (log1p a)))
78.0ms	(pow E (log (fmod (cosh c) (log1p a))))
6.0ms	(fmod (cosh c) (log1p a))

simplify1.4s

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
2	542
1	135
0	53

prune382.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 34.9b

localize36.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
39.5b	(fmod (cosh c) (log1p a))
39.5b	(fmod (cosh c) (log1p a))
39.5b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`pow-unpow` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down`
2×	`pow-exp`
1×	`cbrt-prod` `pow-to-exp` `e-exp-1` `pow-pow` `sqr-pow`

Counts

4 → 40

Calls

4 calls:

2.0ms	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series93.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.4s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	2608
2	359
1	109
0	46

prune369.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 34.9b

regimes865.0ms

Accuracy

0% (0.0b remaining)

Error of 34.1b against oracle of 34.1b and baseline of 34.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
2	16
1	14
0	12

end0.0ms

sample18.8s

Algorithm

intervals

Results

14.4s	7833×	body	10240	exit
1.9s	2279×	body	1280	valid
740.0ms	1599×	body	640	valid
326.0ms	5157×	body	80	nan
255.0ms	159×	body	2560	valid
240.0ms	2783×	body	80	valid
229.0ms	772×	body	320	valid
68.0ms	404×	body	160	valid
10.0ms	4×	body	5120	valid