Details

sample1.2s

Algorithm

intervals

Results

695.0ms	271×	body	10240	exit
187.0ms	81×	body	2560	valid
136.0ms	80×	body	1280	valid
38.0ms	522×	body	80	nan
31.0ms	49×	body	640	valid
12.0ms	27×	body	320	valid
4.0ms	16×	body	160	valid
1.0ms	3×	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: 60.5b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
3.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.5b	(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 38

Calls

3 calls:

3.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series98.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify562.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
2	1013
1	253
0	99

prune415.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.8b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a))
3.1b	(acos (pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a)))
12.6b	(log (exp (fmod (cosh a) (pow a 2))))
59.5b	(fmod (cosh a) (pow a 2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

8.0ms	(pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (pow a 2))))
0.0ms	(fmod (cosh a) (pow a 2))

series85.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a))
7.0ms	(acos (pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (pow a 2))))
4.0ms	(fmod (cosh a) (pow a 2))

simplify744.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1191
1	309
0	124

prune561.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 58.8b

localize53.0ms

Local error

Found 4 expressions with local error:

4.3b	(log (cbrt (exp (fmod (cosh a) (pow a 2)))))
4.3b	(log (cbrt (exp (fmod (cosh a) (pow a 2)))))
59.5b	(fmod (cosh a) (pow a 2))
59.5b	(fmod (cosh a) (pow a 2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log-pow` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `rem-log-exp`

Counts

4 → 54

Calls

4 calls:

3.0ms	(log (cbrt (exp (fmod (cosh a) (pow a 2)))))
6.0ms	(log (cbrt (exp (fmod (cosh a) (pow a 2)))))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))

series672.0ms

Counts

4 → 12

Calls

4 calls:

351.0ms	(log (cbrt (exp (fmod (cosh a) (pow a 2)))))
316.0ms	(log (cbrt (exp (fmod (cosh a) (pow a 2)))))
3.0ms	(fmod (cosh a) (pow a 2))
3.0ms	(fmod (cosh a) (pow a 2))

simplify1.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
7	3164
6	1074
5	464
4	234
3	145
2	95
1	63
0	44

prune578.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 58.8b

localize51.0ms

Local error

Found 4 expressions with local error:

4.4b	(log (cbrt (sqrt (exp (fmod (cosh a) (pow a 2))))))
59.5b	(fmod (cosh a) (pow a 2))
59.5b	(fmod (cosh a) (pow a 2))
59.5b	(fmod (cosh a) (pow a 2))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

6.0ms	(log (cbrt (sqrt (exp (fmod (cosh a) (pow a 2))))))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))

series348.0ms

Counts

4 → 12

Calls

4 calls:

335.0ms	(log (cbrt (sqrt (exp (fmod (cosh a) (pow a 2))))))
4.0ms	(fmod (cosh a) (pow a 2))
4.0ms	(fmod (cosh a) (pow a 2))
4.0ms	(fmod (cosh a) (pow a 2))

simplify1.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5003
7	3011
6	1018
5	442
4	218
3	137
2	95
1	73
0	56

prune706.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 58.8b

regimes166.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
0	10

end0.0ms

sample36.5s

Algorithm

intervals

Results

21.9s	7953×	body	10240	exit
7.4s	3171×	body	2560	valid
3.3s	2487×	body	1280	valid
1.7s	16166×	body	80	nan
772.0ms	1227×	body	640	valid
309.0ms	674×	body	320	valid
94.0ms	322×	body	160	valid
18.0ms	6×	body	5120	nan
17.0ms	119×	body	80	valid
7.0ms	5×	body	2560	nan
6.0ms	10×	body	640	nan
5.0ms	7×	body	1280	nan
2.0ms	7×	body	320	nan
2.0ms	9×	body	160	nan