Details

sample1.6s

Algorithm

intervals

Results

712.0ms	219×	body	10240	exit
311.0ms	97×	body	2560	valid
165.0ms	86×	body	1280	valid
47.0ms	487×	body	80	nan
27.0ms	38×	body	640	valid
12.0ms	25×	body	320	valid
3.0ms	8×	body	160	valid
0.0ms	2×	body	80	valid
0.0ms	1×	body	640	nan
0.0ms	1×	body	320	nan

simplify3.1s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.1b

localize34.0ms

Local error

Found 2 expressions with local error:

2.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.8b	(fmod (cosh a) (* a a))

rewrite6.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin`

Counts

2 → 19

Calls

2 calls:

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

series27.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
20.0ms	(fmod (cosh a) (* a a))

simplify3.2s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
6	4025
5	808
4	303
3	174
2	103
1	55
0	33

prune173.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 60.7b

localize42.0ms

Local error

Found 3 expressions with local error:

2.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.7b	(log (exp (fmod (cosh a) (* a a))))
60.8b	(fmod (cosh a) (* a a))

rewrite6.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 36

Calls

3 calls:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series9.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify3.1s

Counts

45 → 45

Iterations

Iter	Nodes
done	5001
6	4782
5	989
4	391
3	239
2	154
1	89
0	57

prune276.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 60.7b

localize82.0ms

Local error

Found 4 expressions with local error:

11.7b	(log (exp (fmod (cosh a) (* a a))))
60.8b	(fmod (cosh a) (* a a))
60.8b	(fmod (cosh a) (* a a))
60.8b	(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` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 44

Calls

4 calls:

2.0ms	(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))

series10.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify2.0s

Counts

56 → 56

Iterations

Iter	Nodes
done	5004
6	1672
5	541
4	260
3	164
2	108
1	63
0	40

prune494.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.7b

localize111.0ms

Local error

Found 4 expressions with local error:

60.8b	(fmod (cosh a) (* a a))
60.8b	(fmod (cosh a) (* a a))
60.8b	(fmod (cosh a) (* a a))
60.8b	(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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

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))

series10.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify2.1s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
7	3266
6	898
5	356
4	169
3	98
2	57
1	29
0	16

prune592.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 60.7b

regimes331.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.8b and baseline of 60.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	18

end0.0ms

sample35.5s

Algorithm

intervals

Results

21.3s	8035×	body	10240	exit
7.3s	3238×	body	2560	valid
2.6s	2452×	body	1280	valid
1.6s	15861×	body	80	nan
766.0ms	1198×	body	640	valid
726.0ms	658×	body	320	valid
99.0ms	333×	body	160	valid
49.0ms	121×	body	80	valid
20.0ms	6×	body	5120	nan
6.0ms	5×	body	2560	nan
6.0ms	12×	body	640	nan
5.0ms	6×	body	1280	nan
2.0ms	7×	body	320	nan
2.0ms	10×	body	160	nan