Details

sample1.4s

Algorithm

intervals

Results

685.0ms	229×	body	10240	exit
277.0ms	98×	body	2560	valid
117.0ms	77×	body	1280	valid
66.0ms	19×	body	160	valid
46.0ms	521×	body	80	nan
24.0ms	36×	body	640	valid
11.0ms	24×	body	320	valid
1.0ms	1×	body	1280	nan
0.0ms	1×	body	320	nan
0.0ms	1×	body	160	nan
0.0ms	2×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.2b

localize37.0ms

Local error

Found 2 expressions with local error:

2.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.4b	(fmod (cosh a) (* a a))

rewrite4.0ms

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:

1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series21.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify3.4s

Counts

27 → 27

Iterations

Iter	Nodes
done	5023
7	3173
6	895
5	371
4	199
3	121
2	81
1	58
0	35

prune202.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.9b

localize44.0ms

Local error

Found 3 expressions with local error:

2.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.6b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 39

Calls

3 calls:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series6.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify3.7s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
7	4732
6	1430
5	558
4	291
3	180
2	125
1	92
0	60

prune259.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.9b

localize64.0ms

Local error

Found 4 expressions with local error:

11.6b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite7.0ms

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:

5.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series15.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify2.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
7	2052
6	695
5	337
4	190
3	124
2	88
1	65
0	42

prune584.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 58.9b

localize63.0ms

Local error

Found 4 expressions with local error:

59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite2.0ms

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:

0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series8.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify2.9s

Counts

52 → 52

Iterations

Iter	Nodes
done	5004
9	3492
8	1269
7	546
6	290
5	169
4	100
3	64
2	45
1	30
0	17

prune566.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 58.9b

regimes371.0ms

Accuracy

0% (0.4b remaining)

Error of 59.6b against oracle of 59.1b and baseline of 59.6b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	21
1	21
0	19

end0.0ms

sample38.1s

Algorithm

intervals

Results

21.9s	7720×	body	10240	exit
8.2s	3190×	body	2560	valid
4.3s	2492×	body	1280	valid
1.5s	16111×	body	80	nan
1.2s	1231×	body	640	valid
285.0ms	638×	body	320	valid
108.0ms	331×	body	160	valid
30.0ms	9×	body	5120	nan
19.0ms	118×	body	80	valid
13.0ms	8×	body	2560	nan
6.0ms	10×	body	640	nan
3.0ms	9×	body	320	nan
3.0ms	4×	body	1280	nan
3.0ms	9×	body	160	nan