Details

sample1.7s

Algorithm

intervals

Results

935.0ms	266×	body	10240	exit
347.0ms	114×	body	2560	valid
183.0ms	76×	body	1280	valid
73.0ms	446×	body	80	nan
29.0ms	42×	body	640	valid
6.0ms	12×	body	320	valid
2.0ms	6×	body	80	valid
2.0ms	6×	body	160	valid
1.0ms	1×	body	1280	nan
0.0ms	1×	body	320	nan

simplify3.2s

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	89	10
5	195	10
6	633	10
7	2582	10
done	5000	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize35.0ms

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))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin`

Counts

2 → 15

Calls

2 calls:

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

series22.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
18.0ms	(fmod (cosh a) (* a a))

simplify3.3s

Counts

21 → 21

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	29	241
1	43	241
2	61	209
3	90	209
4	148	209
5	288	209
6	765	209
7	2920	209
done	5000	209

prune118.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.0b

localize30.0ms

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))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `log-pow`
3×	`add-exp-log` `log-prod` `exp-prod` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 30

Calls

3 calls:

10.0ms	(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))

series17.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(fmod (cosh a) (* a a))

simplify5.0s

Counts

39 → 39

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	51	463
1	70	410
2	92	359
3	130	359
4	211	359
5	428	359
6	1103	359
7	4017	359
done	5000	359

prune208.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 60.0b

localize27.0ms

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))

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×	`add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 54

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))

series344.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
183.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.0s

Counts

66 → 66

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	49	782
1	66	734
2	83	658
3	103	658
4	143	658
5	252	658
6	533	658
7	1583	658
done	5001	658

prune453.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 60.0b

localize24.0ms

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))

rewrite14.0ms

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×	`log-pow` `add-cbrt-cube` `add-log-exp`
2×	`pow1/3` `rem-log-exp`

Counts

4 → 46

Calls

4 calls:

5.0ms	(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))

series714.0ms

Counts

4 → 12

Calls

4 calls:

354.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
351.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.0s

Counts

58 → 58

Iterations

Useful iterations: 5 (56.0ms)

Iter	Nodes	Cost
0	42	702
1	56	688
2	70	612
3	83	602
4	101	602
5	132	598
6	199	598
7	422	598
8	1362	598
done	5001	598

prune390.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 59.9b

regimes353.0ms

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

sample36.4s

Algorithm

intervals

Results

21.3s	8090×	body	10240	exit
8.1s	3188×	body	2560	valid
2.7s	2466×	body	1280	valid
1.9s	16223×	body	80	nan
962.0ms	1268×	body	640	valid
262.0ms	629×	body	320	valid
98.0ms	329×	body	160	valid
19.0ms	7×	body	5120	nan
18.0ms	120×	body	80	valid
8.0ms	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