Details

sample1.1s

Algorithm

intervals

Results

950.0ms	272×	body	10240	exit
73.0ms	83×	body	1280	valid
24.0ms	56×	body	640	valid
11.0ms	175×	body	80	nan
8.0ms	31×	body	320	valid
6.0ms	72×	body	80	valid
5.0ms	2×	body	5120	valid
4.0ms	2×	body	2560	valid
2.0ms	10×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.9b

localize37.0ms

Local error

Found 1 expressions with local error:

42.9b

(fmod (cosh c) (log1p a))

rewrite4.0ms

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:

2.0ms

(fmod (cosh c) (log1p a))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(fmod (cosh c) (log1p a))

simplify1.5s

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

prune109.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 37.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.6b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))
42.9b	(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))

series43.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.7s

Counts

49 → 49

Iterations

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

prune329.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 37.8b

localize73.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (pow (exp (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a)))))
42.9b	(fmod (cosh c) (log1p a))
42.9b	(fmod (cosh c) (log1p a))
42.9b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`unpow-prod-down`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`pow-unpow`
5×	`pow1` `add-exp-log`
4×	`cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `pow-exp` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `sqr-pow`
1×	`pow-pow` `log-pow`

Counts

4 → 56

Calls

4 calls:

8.0ms	(pow (pow (exp (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (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))

series345.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(pow (pow (exp (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a)))))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify809.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	1443
2	520
1	194
0	70

prune688.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 37.8b

localize130.0ms

Local error

Found 4 expressions with local error:

42.9b	(fmod (cosh c) (log1p a))
42.9b	(fmod (cosh c) (log1p a))
42.9b	(fmod (cosh c) (log1p a))
42.9b	(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))

series17.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.8s

Counts

48 → 48

Iterations

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

prune551.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 37.8b

regimes1.1s

Accuracy

0% (0.0b remaining)

Error of 33.9b against oracle of 33.9b and baseline of 33.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	14

end0.0ms

sample18.5s

Algorithm

intervals

Results

13.5s	7959×	body	10240	exit
2.1s	2319×	body	1280	valid
800.0ms	5389×	body	80	nan
627.0ms	1559×	body	640	valid
253.0ms	128×	body	2560	valid
238.0ms	2807×	body	80	valid
218.0ms	772×	body	320	valid
65.0ms	403×	body	160	valid
30.0ms	12×	body	5120	valid