Details

sample744.0ms

Algorithm

intervals

Results

590.0ms	265×	body	10240	exit
51.0ms	72×	body	1280	valid
22.0ms	54×	body	640	valid
17.0ms	7×	body	2560	valid
9.0ms	148×	body	80	nan
7.0ms	81×	body	80	valid
7.0ms	25×	body	320	valid
3.0ms	17×	body	160	valid

simplify22.0ms

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: 35.6b

localize23.0ms

Local error

Found 1 expressions with local error:

40.3b

(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(fmod (cosh c) (log1p a))

simplify3.5s

Counts

12 → 12

Iterations

Iter	Nodes
done	5002
9	1174
8	364
7	158
6	89
5	59
4	40
3	32
2	26
1	21
0	14

prune81.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.6b

localize25.0ms

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))

rewrite11.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `exp-sum` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 40

Calls

3 calls:

5.0ms	(exp (log (fmod (cosh c) (log1p a))))
4.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series35.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
27.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(fmod (cosh c) (log1p a))

simplify3.5s

Counts

49 → 49

Iterations

Iter	Nodes
done	5010
8	3912
7	1451
6	661
5	352
4	201
3	128
2	90
1	66
0	44

prune315.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 35.5b

localize44.0ms

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))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 41

Calls

4 calls:

2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series41.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify3.3s

Counts

53 → 53

Iterations

Iter	Nodes
done	5005
9	2943
8	988
7	415
6	210
5	127
4	85
3	64
2	52
1	42
0	28

prune523.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 35.5b

localize89.0ms

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))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

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))

series14.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify3.0s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
9	1174
8	364
7	158
6	89
5	59
4	40
3	32
2	26
1	21
0	14

prune363.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 35.5b

regimes946.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample19.0s

Algorithm

intervals

Results

14.4s	7954×	body	10240	exit
1.8s	2389×	body	1280	valid
652.0ms	1506×	body	640	valid
462.0ms	5401×	body	80	nan
291.0ms	780×	body	320	valid
288.0ms	174×	body	2560	valid
255.0ms	2730×	body	80	valid
85.0ms	410×	body	160	valid
30.0ms	11×	body	5120	valid