Details

sample1.4s

Algorithm

intervals

Results

852.0ms	266×	body	10240	exit
255.0ms	114×	body	2560	valid
80.0ms	76×	body	1280	valid
37.0ms	446×	body	80	nan
25.0ms	42×	body	640	valid
6.0ms	12×	body	320	valid
2.0ms	6×	body	160	valid
1.0ms	1×	body	1280	nan
1.0ms	6×	body	80	valid
0.0ms	1×	body	320	nan

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	44	10
4	89	10
5	195	10
6	633	10
7	2582	10
done	5000	10

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize25.0ms

Local error

Found 2 expressions with local error:

1.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.1b	(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))

series25.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
17.0ms	(fmod (cosh a) (* a a))

simplify3.3s

Counts

25 → 25

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	33	277
1	47	277
2	65	245
3	94	245
4	152	245
5	294	245
6	776	245
7	2892	245
done	5000	245

prune135.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.0b

localize20.0ms

Local error

Found 3 expressions with local error:

1.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.4b	(log (exp (fmod (cosh a) (* a a))))
59.1b	(fmod (cosh a) (* a a))

rewrite11.0ms

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:

2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
6.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series22.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
13.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(fmod (cosh a) (* a a))

simplify4.3s

Counts

45 → 45

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	57	521
1	76	460
2	98	409
3	136	409
4	217	409
5	440	409
6	1144	409
7	4130	409
done	5001	409

prune213.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 60.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.9b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
1.9b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite15.0ms

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:

7.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series336.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(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))

simplify2.6s

Counts

74 → 74

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	53	850
1	70	802
2	87	726
3	107	726
4	147	726
5	257	726
6	545	726
7	1651	726
done	5001	726

prune515.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 60.0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.9b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
1.9b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

6.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
6.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series618.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
327.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify1.7s

Counts

66 → 66

Iterations

Useful iterations: 5 (57.0ms)

Iter	Nodes	Cost
0	46	770
1	60	756
2	74	680
3	87	670
4	105	670
5	136	666
6	203	666
7	425	666
8	1375	666
done	5000	666

prune444.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 59.9b

regimes359.0ms

Accuracy

0% (0.5b 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	11	23
done	11	23

end0.0ms

sample38.0s

Algorithm

intervals

Results

21.5s	8090×	body	10240	exit
8.6s	3188×	body	2560	valid
3.3s	2466×	body	1280	valid
2.0s	16223×	body	80	nan
799.0ms	1268×	body	640	valid
350.0ms	629×	body	320	valid
131.0ms	329×	body	160	valid
21.0ms	7×	body	5120	nan
19.0ms	120×	body	80	valid
7.0ms	5×	body	2560	nan
6.0ms	8×	body	1280	nan
3.0ms	10×	body	320	nan
2.0ms	7×	body	160	nan
1.0ms	1×	body	640	nan