Details

sample402.0ms

Algorithm

intervals

Results

303.0ms	222×	body	10240	exit
38.0ms	79×	body	1280	valid
12.0ms	43×	body	640	valid
6.0ms	165×	body	80	nan
5.0ms	5×	body	2560	valid
4.0ms	29×	body	320	valid
4.0ms	85×	body	80	valid
2.0ms	15×	body	160	valid

simplify21.0ms

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

localize21.0ms

Local error

Found 1 expressions with local error:

39.5b

(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))

simplify2.0s

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

prune132.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 34.9b

localize15.0ms

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))

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))

series56.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify3.1s

Counts

49 → 49

Iterations

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

prune359.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 34.9b

localize18.0ms

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))

rewrite10.0ms

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:

2.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(pow E (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series117.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(log (fmod (cosh c) (log1p a)))
78.0ms	(pow E (log (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))

simplify1.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
2	554
1	141
0	59

prune445.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 34.9b

localize37.0ms

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×	`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:

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))

series62.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(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))

simplify2.5s

Counts

60 → 60

Iterations

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

prune435.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 34.9b

regimes958.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
2	16
1	14
0	12

end0.0ms

sample18.6s

Algorithm

intervals

Results

13.3s	7833×	body	10240	exit
1.8s	2279×	body	1280	valid
822.0ms	5157×	body	80	nan
687.0ms	772×	body	320	valid
667.0ms	1599×	body	640	valid
301.0ms	2783×	body	80	valid
289.0ms	159×	body	2560	valid
66.0ms	404×	body	160	valid
13.0ms	4×	body	5120	valid