Details

sample1.6s

Algorithm

intervals

Results

896.0ms	277×	body	10240	exit
301.0ms	98×	body	2560	valid
115.0ms	86×	body	1280	valid
99.0ms	593×	body	80	nan
30.0ms	42×	body	640	valid
12.0ms	22×	body	320	valid
3.0ms	1×	body	2560	nan
2.0ms	1×	body	5120	nan
2.0ms	6×	body	160	valid
0.0ms	2×	body	80	valid

simplify8.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5009
7	3480
6	774
5	199
4	87
3	44
2	24
1	16
0	7

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.9b

localize95.0ms

Local error

Found 2 expressions with local error:

0.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.1b	(fmod (cosh a) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin`

Counts

2 → 21

Calls

2 calls:

6.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
4.0ms	(fmod (cosh a) (* a a))

series69.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
40.0ms	(fmod (cosh a) (* a a))

simplify10.4s

Counts

27 → 27

Iterations

Iter	Nodes
done	5115
7	3861
6	925
5	371
4	199
3	121
2	81
1	58
0	35

prune341.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.4b

localize103.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (fmod (cosh a) (* a a)))
0.8b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.4b	(log (exp (fmod (cosh a) (* a a))))
60.1b	(fmod (cosh a) (* a a))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`exp-prod`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `log1p-expm1-u`
3×	`log-prod`
1×	`acos-asin` `rem-log-exp` `rem-exp-log`

Counts

4 → 53

Calls

4 calls:

11.0ms	(exp (fmod (cosh a) (* a a)))
7.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
15.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

series139.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(exp (fmod (cosh a) (* a a)))
17.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
20.0ms	(log (exp (fmod (cosh a) (* a a))))
16.0ms	(fmod (cosh a) (* a a))

simplify5.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
6	1625
5	656
4	337
3	207
2	143
1	104
0	67

prune762.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.4b

localize239.0ms

Local error

Found 4 expressions with local error:

10.4b	(log (exp (fmod (cosh a) (* a a))))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 48

Calls

4 calls:

13.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series55.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(log (exp (fmod (cosh a) (* a a))))
13.0ms	(fmod (cosh a) (* a a))
15.0ms	(fmod (cosh a) (* a a))
18.0ms	(fmod (cosh a) (* a a))

simplify5.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
7	1970
6	697
5	359
4	183
3	121
2	87
1	64
0	42

prune758.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.4b

localize342.0ms

Local error

Found 4 expressions with local error:

60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))

rewrite7.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

2.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series45.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(fmod (cosh a) (* a a))
12.0ms	(fmod (cosh a) (* a a))
8.0ms	(fmod (cosh a) (* a a))
9.0ms	(fmod (cosh a) (* a a))

simplify7.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5020
9	3486
8	1269
7	546
6	290
5	169
4	100
3	64
2	45
1	30
0	17

prune893.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.4b

regimes666.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	19
1	19
0	18

end0.0ms

sample43.4s

Algorithm

intervals

Results

25.3s	8110×	body	10240	exit
8.9s	3101×	body	2560	valid
3.9s	2555×	body	1280	valid
2.3s	16201×	body	80	nan
1.5s	1295×	body	640	valid
337.0ms	613×	body	320	valid
165.0ms	325×	body	160	valid
46.0ms	13×	body	5120	nan
21.0ms	111×	body	80	valid
14.0ms	8×	body	2560	nan
9.0ms	8×	body	1280	nan
5.0ms	7×	body	640	nan
5.0ms	8×	body	320	nan
3.0ms	10×	body	160	nan