Details

sample1.3s

Algorithm

intervals

Results

653.0ms	236×	body	10240	exit
236.0ms	96×	body	2560	valid
95.0ms	77×	body	1280	valid
85.0ms	472×	body	80	nan
33.0ms	48×	body	640	valid
6.0ms	16×	body	320	valid
4.0ms	12×	body	160	valid
1.0ms	7×	body	80	valid
0.0ms	1×	body	320	nan

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	44	10
4	91	10
5	373	10
6	3269	10
done	5001	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize26.0ms

Local error

Found 2 expressions with local error:

1.4b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.8b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `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))

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

25 → 25

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	33	277
1	55	277
2	102	245
3	172	245
4	303	245
5	810	245
6	3964	245
done	5000	245

prune143.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.1b

localize18.0ms

Local error

Found 3 expressions with local error:

1.4b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.9b	(log (exp (fmod (cosh a) (* a a))))
58.8b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `log-pow`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `exp-prod` `add-cbrt-cube` `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))

series10.0ms

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))

simplify3.3s

Counts

45 → 45

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	57	521
1	89	460
2	154	409
3	236	409
4	382	409
5	971	409
6	4705	409
done	5001	409

prune272.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.1b

localize39.0ms

Local error

Found 4 expressions with local error:

2.7b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.7b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

8.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
8.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series372.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
196.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.9s

Counts

74 → 74

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	53	850
1	76	802
2	118	726
3	179	726
4	300	726
5	693	726
6	2554	726
done	5002	726

prune510.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.1b

localize48.0ms

Local error

Found 4 expressions with local error:

2.8b	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

8.0ms	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series314.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
3.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts

62 → 62

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	59	699
1	77	679
2	105	614
3	149	614
4	227	614
5	447	614
6	1030	614
7	2985	614
done	5002	614

prune583.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.1b

regimes211.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	37
1	19	37
done	19	37

end0.0ms

sample34.4s

Algorithm

intervals

Results

19.4s	7879×	body	10240	exit
7.0s	3170×	body	2560	valid
3.7s	2535×	body	1280	valid
1.8s	15784×	body	80	nan
1.2s	1227×	body	640	valid
248.0ms	648×	body	320	valid
112.0ms	300×	body	160	valid
17.0ms	120×	body	80	valid
6.0ms	3×	body	5120	nan
5.0ms	5×	body	2560	nan
3.0ms	7×	body	640	nan
2.0ms	6×	body	320	nan
2.0ms	3×	body	1280	nan
1.0ms	3×	body	160	nan