Details

sample1.6s

Algorithm

intervals

Results

904.0ms	277×	body	10240	exit
283.0ms	98×	body	2560	valid
144.0ms	86×	body	1280	valid
81.0ms	593×	body	80	nan
39.0ms	42×	body	640	valid
14.0ms	22×	body	320	valid
3.0ms	6×	body	160	valid
3.0ms	1×	body	5120	nan
1.0ms	1×	body	2560	nan
0.0ms	2×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3169
5	373
4	91
3	44
2	24
1	16
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize45.0ms

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))

rewrite7.0ms

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:

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

series18.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
14.0ms	(fmod (cosh a) (* a a))

simplify2.9s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
6	4271
5	793
4	294
3	171
2	107
1	58
0	35

prune224.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.7b

localize35.0ms

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))

rewrite7.0ms

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:

2.0ms	(exp (fmod (cosh a) (* a a)))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series46.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(exp (fmod (cosh a) (* a a)))
3.0ms	(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))

simplify1.6s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
5	1074
4	436
3	275
2	185
1	105
0	67

prune254.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize45.0ms

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))

rewrite4.0ms

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:

3.0ms	(log (exp (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	(log (exp (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))

simplify1.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
6	1642
5	543
4	262
3	166
2	110
1	65
0	42

prune555.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize87.0ms

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))

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` `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))

simplify1.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
7	2805
6	884
5	357
4	170
3	99
2	58
1	30
0	17

prune543.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.7b

regimes334.0ms

Accuracy

0% (0.4b remaining)

Error of 59.5b against oracle of 59.1b and baseline of 59.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	18

end0.0ms

sample45.7s

Algorithm

intervals

Results

26.6s	8110×	body	10240	exit
9.2s	3101×	body	2560	valid
4.2s	2555×	body	1280	valid
3.2s	16201×	body	80	nan
1.2s	1295×	body	640	valid
456.0ms	613×	body	320	valid
166.0ms	325×	body	160	valid
39.0ms	13×	body	5120	nan
25.0ms	111×	body	80	valid
14.0ms	8×	body	2560	nan
9.0ms	8×	body	1280	nan
6.0ms	7×	body	640	nan
4.0ms	10×	body	160	nan
4.0ms	8×	body	320	nan