Details

sample683.0ms

Algorithm

intervals

Results

480.0ms	317×	body	10240	exit
60.0ms	206×	body	80	nan
57.0ms	80×	body	1280	valid
18.0ms	54×	body	640	valid
12.0ms	8×	body	2560	valid
6.0ms	72×	body	80	valid
5.0ms	23×	body	320	valid
3.0ms	19×	body	160	valid

simplify49.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.5b

localize13.0ms

Local error

Found 1 expressions with local error:

42.3b

(fmod (cosh c) (log1p a))

rewrite2.0ms

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))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(fmod (cosh c) (log1p a))

simplify2.1s

Counts

12 → 12

Iterations

Iter	Nodes
done	5000
8	1065
7	336
6	159
5	74
4	40
3	32
2	26
1	21
0	14

prune104.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 37.5b

localize16.0ms

Local error

Found 3 expressions with local error:

0.4b	(log (fmod (cosh c) (log1p a)))
0.7b	(exp (log (fmod (cosh c) (log1p a))))
42.3b	(fmod (cosh c) (log1p a))

rewrite6.0ms

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:

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

series51.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(exp (log (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))

simplify3.2s

Counts

49 → 49

Iterations

Iter	Nodes
done	5001
7	4052
6	1051
5	486
4	315
3	186
2	115
1	69
0	44

prune385.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 37.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.4b	(log (fmod (cosh c) (log1p a)))
0.8b	(pow E (log (fmod (cosh c) (log1p a))))
42.3b	(fmod (cosh c) (log1p a))

rewrite5.0ms

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×	`expm1-log1p-u` `unpow-prod-up` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 47

Calls

3 calls:

1.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(pow E (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series100.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(log (fmod (cosh c) (log1p a)))
65.0ms	(pow E (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
2	554
1	141
0	59

prune485.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 37.5b

localize69.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
42.3b	(fmod (cosh c) (log1p a))
42.3b	(fmod (cosh c) (log1p a))
42.3b	(fmod (cosh c) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `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 → 48

Calls

4 calls:

4.0ms	(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))

series89.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(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))
5.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify2.3s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	2536
2	363
1	113
0	50

prune405.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 37.4b

regimes945.0ms

Accuracy

0% (0.0b remaining)

Error of 34.0b against oracle of 34.0b and baseline of 34.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
2	16
1	14
0	12

end0.0ms

sample18.9s

Algorithm

intervals

Results

12.6s	7528×	body	10240	exit
1.8s	2304×	body	1280	valid
1.1s	2796×	body	80	valid
1.0s	790×	body	320	valid
636.0ms	1570×	body	640	valid
397.0ms	5122×	body	80	nan
255.0ms	150×	body	2560	valid
99.0ms	381×	body	160	valid
23.0ms	9×	body	5120	valid