Details

sample1.8s

Algorithm

intervals

Results

882.0ms	226×	body	10240	exit
415.0ms	94×	body	2560	valid
154.0ms	78×	body	1280	valid
84.0ms	487×	body	80	nan
38.0ms	40×	body	640	valid
18.0ms	25×	body	320	valid
8.0ms	14×	body	160	valid
1.0ms	5×	body	80	valid

simplify14.8s

Counts

1 → 1

Iterations

Iter	Nodes
8	10109
7	1959
6	486
5	195
4	87
3	44
2	24
1	16
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
2.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.5b	(fmod (cosh a) (* a a))

rewrite10.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 41

Calls

3 calls:

4.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series65.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
8.0ms	(fmod (cosh a) (* a a))

simplify1.0s

Counts

50 → 50

Iterations

Iter	Nodes
3	2150
2	682
1	250
0	102

prune357.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.8b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.9b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))

rewrite8.0ms

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` `insert-posit16` `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 → 63

Calls

4 calls:

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

series46.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
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))

simplify843.0ms

Counts

75 → 75

Iterations

Iter	Nodes
3	2354
2	805
1	318
0	132

prune463.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.5b

localize41.0ms

Local error

Found 4 expressions with local error:

11.9b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))

rewrite3.0ms

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:

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))

series7.0ms

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))

simplify4.0s

Counts

60 → 60

Iterations

Iter	Nodes
8	5368
7	1338
6	489
5	237
4	135
3	95
2	78
1	65
0	42

prune660.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 58.5b

localize56.0ms

Local error

Found 4 expressions with local error:

59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))
59.5b	(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))

series7.0ms

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))

simplify3.7s

Counts

52 → 52

Iterations

Iter	Nodes
10	6978
9	1470
8	502
7	222
6	121
5	79
4	55
3	44
2	38
1	30
0	17

prune744.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 58.5b

regimes247.0ms

Accuracy

0% (0.4b remaining)

Error of 59.4b against oracle of 59.0b and baseline of 59.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	13
1	13
0	12

end0.0ms

sample31.6s

Algorithm

intervals

Results

18.6s	7980×	body	10240	exit
6.7s	3178×	body	2560	valid
2.7s	2487×	body	1280	valid
1.7s	16344×	body	80	nan
1.0s	1228×	body	640	valid
311.0ms	670×	body	320	valid
95.0ms	306×	body	160	valid
34.0ms	12×	body	2560	nan
26.0ms	10×	body	5120	nan
21.0ms	131×	body	80	valid
8.0ms	10×	body	1280	nan
4.0ms	10×	body	320	nan
3.0ms	5×	body	640	nan
2.0ms	8×	body	160	nan