Details

sample1.1s

Algorithm

intervals

Results

463.0ms	265×	body	10240	exit
145.0ms	88×	body	2560	valid
69.0ms	93×	body	1280	valid
21.0ms	510×	body	80	nan
21.0ms	8×	body	160	valid
16.0ms	41×	body	640	valid
7.0ms	24×	body	320	valid
0.0ms	2×	body	80	valid

simplify52.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1277	6
6	5002	6
done	5002	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.6b

localize12.0ms

Local error

Found 2 expressions with local error:

1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.7b	(fmod (cosh a) (* a a))

rewrite4.0ms

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:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify84.0ms

Counts

25 → 25

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	48	166
1	76	146
2	160	146
3	411	146
4	2000	146
5	5001	146
done	5001	146

prune92.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.1b

localize13.0ms

Local error

Found 3 expressions with local error:

1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
9.1b	(log (exp (fmod (cosh a) (* a a))))
59.7b	(fmod (cosh a) (* a a))

rewrite5.0ms

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

series11.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify108.0ms

Counts

45 → 45

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	79	299
1	113	260
2	227	260
3	599	260
4	2974	260
5	5001	260
done	5001	260

prune157.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 60.1b

localize17.0ms

Local error

Found 4 expressions with local error:

9.1b	(log (exp (fmod (cosh a) (* a a))))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

5.0ms	(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))

series10.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify83.0ms

Counts

56 → 56

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	56	278
1	79	244
2	161	244
3	412	244
4	1977	244
5	5001	244
done	5001	244

prune270.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 60.1b

localize15.0ms

Local error

Found 4 expressions with local error:

2.6b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
2.6b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))

rewrite7.0ms

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:

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

series422.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
209.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify74.0ms

Counts

66 → 66

Iterations

Useful iterations: 4 (17.0ms)

Iter	Nodes	Cost
0	60	488
1	85	434
2	152	434
3	363	434
4	1716	430
5	5001	430
done	5001	430

prune248.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 60.1b

regimes180.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.9b and baseline of 60.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	9	8
done	9	8

end0.0ms

sample23.0s

Algorithm

intervals

Results

14.0s	8101×	body	10240	exit
5.0s	3150×	body	2560	valid
1.8s	2480×	body	1280	valid
683.0ms	16041×	body	80	nan
501.0ms	1306×	body	640	valid
165.0ms	609×	body	320	valid
68.0ms	360×	body	160	valid
19.0ms	9×	body	5120	nan
15.0ms	95×	body	80	valid
7.0ms	8×	body	2560	nan
4.0ms	8×	body	1280	nan
2.0ms	11×	body	320	nan
2.0ms	7×	body	640	nan
1.0ms	9×	body	160	nan