Details

sample1.6s

Algorithm

intervals

Results

905.0ms	262×	body	10240	exit
301.0ms	100×	body	2560	valid
123.0ms	80×	body	1280	valid
78.0ms	524×	body	80	nan
60.0ms	34×	body	640	valid
15.0ms	23×	body	320	valid
8.0ms	17×	body	160	valid
0.0ms	2×	body	80	valid

simplify14.6s

Counts

1 → 1

Iterations

Iter	Nodes
8	9605
7	1734
6	473
5	197
4	85
3	42
2	24
1	16
0	7

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.3b

localize48.0ms

Local error

Found 2 expressions with local error:

2.0b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.5b	(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)))
13.0ms	(fmod (cosh a) (* a a))

simplify1.8s

Counts

27 → 27

Iterations

Iter	Nodes
7	2309
6	729
5	317
4	162
3	100
2	72
1	58
0	35

prune444.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.0b

localize50.0ms

Local error

Found 3 expressions with local error:

2.0b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.3b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))

rewrite9.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 39

Calls

3 calls:

3.0ms	(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))

series10.0ms

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

simplify3.0s

Counts

48 → 48

Iterations

Iter	Nodes
7	3694
6	1153
5	491
4	247
3	155
2	115
1	91
0	60

prune546.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.0b

localize57.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `add-exp-log` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 66

Calls

4 calls:

7.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
15.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series285.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
160.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify5.7s

Counts

78 → 78

Iterations

Iter	Nodes
8	6053
7	1814
6	636
5	289
4	159
3	113
2	92
1	77
0	55

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 58.9b

localize33.0ms

Local error

Found 4 expressions with local error:

11.3b	(log (exp (fmod (cosh a) (* a a))))
11.3b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow` `add-cube-cbrt`
6×	`pow1` `log-prod` `exp-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 56

Calls

4 calls:

5.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series9.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify7.2s

Counts

68 → 68

Iterations

Iter	Nodes
8	5488
7	1375
6	515
5	244
4	137
3	96
2	78
1	64
0	42

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 58.9b

regimes376.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
1	11
0	11

end0.0ms

sample40.2s

Algorithm

intervals

Results

22.7s	7906×	body	10240	exit
8.9s	3149×	body	2560	valid
3.8s	2511×	body	1280	valid
2.7s	16054×	body	80	nan
1.1s	1254×	body	640	valid
385.0ms	666×	body	320	valid
123.0ms	312×	body	160	valid
22.0ms	7×	body	5120	nan
22.0ms	108×	body	80	valid
15.0ms	9×	body	2560	nan
6.0ms	7×	body	1280	nan
3.0ms	6×	body	640	nan
3.0ms	8×	body	160	nan
1.0ms	2×	body	320	nan