Details

sample1.6s

Algorithm

intervals

Results

883.0ms	291×	body	10240	exit
298.0ms	104×	body	2560	valid
212.0ms	72×	body	1280	valid
55.0ms	37×	body	640	valid
45.0ms	523×	body	80	nan
11.0ms	24×	body	320	valid
5.0ms	15×	body	160	valid
2.0ms	1×	body	5120	nan
1.0ms	4×	body	80	valid
0.0ms	1×	body	640	nan

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
3.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.1b	(fmod (cosh a) (* a a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 32

Calls

3 calls:

4.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series173.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify2.8s

Counts

41 → 41

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	51	507
1	90	492
2	189	450
3	459	450
4	1327	450
done	5001	450

prune157.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.7b	(log (exp (fmod (cosh a) (* a a))))
59.1b	(fmod (cosh a) (* a a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`log-pow`
7×	`pow1` `unpow-prod-down`
6×	`exp-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod`
1×	`acos-asin` `pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `sqr-pow`

Counts

4 → 51

Calls

4 calls:

10.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
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))

series188.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
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))

simplify2.7s

Counts

63 → 63

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	78	857
1	121	729
2	225	668
3	515	668
4	1413	668
done	5001	668

prune322.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.4b

localize41.0ms

Local error

Found 4 expressions with local error:

3.7b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
3.7b	(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×	`log-pow` `add-cbrt-cube` `add-log-exp`
2×	`pow1/3` `rem-log-exp`

Counts

4 → 46

Calls

4 calls:

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

series674.0ms

Counts

4 → 12

Calls

4 calls:

327.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
337.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.1s

Counts

58 → 58

Iterations

Useful iterations: 5 (95.0ms)

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

prune437.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 59.3b

localize49.0ms

Local error

Found 4 expressions with local error:

3.7b	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite6.0ms

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

Counts

4 → 42

Calls

4 calls:

4.0ms	(log (sqrt (cbrt (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))

series325.0ms

Counts

4 → 12

Calls

4 calls:

317.0ms	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify2.8s

Counts

54 → 54

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	55	635
1	70	615
2	82	550
3	94	550
4	109	550
5	136	550
6	196	550
7	399	550
8	1249	550
done	5000	550

prune493.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 59.3b

regimes330.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
done	9	12

end0.0ms

sample34.3s

Algorithm

intervals

Results

19.7s	7698×	body	10240	exit
7.7s	3195×	body	2560	valid
2.6s	2459×	body	1280	valid
1.5s	15797×	body	80	nan
1.3s	1254×	body	640	valid
339.0ms	656×	body	320	valid
137.0ms	330×	body	160	valid
31.0ms	12×	body	5120	nan
15.0ms	106×	body	80	valid
12.0ms	10×	body	2560	nan
6.0ms	9×	body	1280	nan
4.0ms	14×	body	320	nan
3.0ms	6×	body	640	nan
2.0ms	10×	body	160	nan