Details

sample1.5s

Algorithm

intervals

Results

708.0ms	217×	body	10240	exit
305.0ms	90×	body	2560	valid
176.0ms	90×	body	1280	valid
81.0ms	422×	body	80	nan
41.0ms	44×	body	640	valid
11.0ms	16×	body	320	valid
6.0ms	14×	body	160	valid
1.0ms	1×	body	640	nan
1.0ms	2×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5041
7	3478
6	774
5	199
4	87
3	44
2	24
1	16
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize35.0ms

Local error

Found 2 expressions with local error:

2.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.6b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 17

Calls

2 calls:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
11.0ms	(fmod (cosh a) (* a a))

simplify3.1s

Counts

23 → 23

Iterations

Iter	Nodes
done	5004
7	3117
6	1070
5	408
4	202
3	117
2	77
1	54
0	31

prune204.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.1b

localize39.0ms

Local error

Found 3 expressions with local error:

2.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
14.0b	(log (exp (fmod (cosh a) (* a a))))
58.6b	(fmod (cosh a) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 34

Calls

3 calls:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series8.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify2.5s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
6	1688
5	583
4	288
3	173
2	118
1	85
0	54

prune272.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.1b

localize36.0ms

Local error

Found 4 expressions with local error:

2.2b	(acos (pow (cbrt (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))) (log1p a)))
58.6b	(fmod (cosh a) (* a a))
58.6b	(fmod (cosh a) (* a a))
58.6b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 33

Calls

4 calls:

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

series17.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(acos (pow (cbrt (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify2.6s

Counts

45 → 45

Iterations

Iter	Nodes
done	5090
7	3135
6	1044
5	438
4	219
3	122
2	75
1	51
0	32

prune273.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.1b

localize39.0ms

Local error

Found 4 expressions with local error:

14.0b	(log (exp (fmod (cosh a) (* a a))))
58.6b	(fmod (cosh a) (* a a))
58.6b	(fmod (cosh a) (* a a))
58.6b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

6.0ms	(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))

series16.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify2.6s

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
7	1699
6	651
5	333
4	188
3	119
2	83
1	60
0	38

prune325.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 59.1b

regimes415.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample44.9s

Algorithm

intervals

Results

25.7s	7618×	body	10240	exit
9.4s	3169×	body	2560	valid
3.9s	2513×	body	1280	valid
2.8s	15649×	body	80	nan
1.6s	1247×	body	640	valid
464.0ms	625×	body	320	valid
149.0ms	320×	body	160	valid
35.0ms	11×	body	5120	nan
28.0ms	126×	body	80	valid
15.0ms	13×	body	1280	nan
7.0ms	4×	body	2560	nan
6.0ms	8×	body	320	nan
4.0ms	5×	body	640	nan
4.0ms	9×	body	160	nan