Details

sample730.0ms

Algorithm

intervals

Results

485.0ms	265×	body	10240	exit
92.0ms	72×	body	1280	valid
51.0ms	54×	body	640	valid
14.0ms	7×	body	2560	valid
8.0ms	148×	body	80	nan
6.0ms	81×	body	80	valid
5.0ms	25×	body	320	valid
3.0ms	17×	body	160	valid

simplify13.0ms

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: 35.6b

localize11.0ms

Local error

Found 1 expressions with local error:

40.3b

(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:

10.0ms

(fmod (cosh c) (log1p a))

simplify3.3s

Counts

10 → 10

Iterations

Iter	Nodes
done	5000
9	1269
8	416
7	172
6	91
5	57
4	38
3	30
2	24
1	19
0	12

prune97.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.6b

localize19.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
40.3b	(fmod (cosh c) (log1p a))

rewrite7.0ms

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	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series32.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(exp (log (fmod (cosh c) (log1p a))))
24.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify4.0s

Counts

43 → 43

Iterations

Iter	Nodes
done	5002
8	4630
7	1494
6	662
5	356
4	193
3	121
2	84
1	60
0	38

prune327.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 35.6b

localize60.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (fmod (cosh c) (log1p a)))
40.3b	(fmod (cosh c) (log1p a))
40.3b	(fmod (cosh c) (log1p a))
40.3b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 33

Calls

4 calls:

1.0ms	(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))

series41.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(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))

simplify2.7s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
9	3005
8	926
7	384
6	192
5	117
4	80
3	60
2	48
1	38
0	24

prune376.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 35.6b

localize101.0ms

Local error

Found 4 expressions with local error:

40.3b	(fmod (cosh c) (log1p a))
40.3b	(fmod (cosh c) (log1p a))
40.3b	(fmod (cosh c) (log1p a))
40.3b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

0.0ms	(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))

series12.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(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))

simplify3.1s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
9	1269
8	416
7	172
6	91
5	57
4	38
3	30
2	24
1	19
0	12

prune265.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 35.6b

regimes685.0ms

Accuracy

0% (0.0b remaining)

Error of 34.4b against oracle of 34.4b and baseline of 34.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample18.6s

Algorithm

intervals

Results

13.3s	7954×	body	10240	exit
1.9s	2389×	body	1280	valid
781.0ms	5401×	body	80	nan
632.0ms	1506×	body	640	valid
591.0ms	780×	body	320	valid
401.0ms	2730×	body	80	valid
277.0ms	174×	body	2560	valid
66.0ms	410×	body	160	valid
25.0ms	11×	body	5120	valid