Details

sample977.0ms

Algorithm

intervals

Results

449.0ms	250×	body	10240	exit
157.0ms	97×	body	2560	valid
56.0ms	79×	body	1280	valid
21.0ms	484×	body	80	nan
21.0ms	47×	body	640	valid
6.0ms	23×	body	320	valid
2.0ms	8×	body	160	valid
0.0ms	2×	body	80	valid

simplify2.7s

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	87	10
5	191	10
6	706	10
7	2876	10
done	5000	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
2.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.4b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `unpow-prod-down` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 38

Calls

3 calls:

2.0ms	(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))

series61.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify1.5s

Counts

47 → 47

Iterations

Useful iterations: 3 (503.0ms)

Iter	Nodes	Cost
0	99	779
1	220	752
2	723	710
3	3568	659
done	5001	659

prune171.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 60.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.9b	(log (exp (fmod (cosh a) (* a a))))
60.4b	(fmod (cosh a) (* a a))

rewrite6.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 59

Calls

4 calls:

2.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
0.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
1.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series54.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify1.6s

Counts

71 → 71

Iterations

Useful iterations: 3 (519.0ms)

Iter	Nodes	Cost
0	128	1155
1	265	1003
2	778	942
3	3659	891
done	5000	891

prune252.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.3b

localize15.0ms

Local error

Found 4 expressions with local error:

2.3b	(acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
12.9b	(log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))
60.4b	(fmod (cosh a) (* a a))
60.4b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
1.0ms	(log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (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	(acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
3.0ms	(log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify2.3s

Counts

56 → 56

Iterations

Useful iterations: 4 (94.0ms)

Iter	Nodes	Cost
0	55	900
1	75	553
2	109	526
3	182	523
4	506	493
5	2155	493
done	5000	493

prune238.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
1.3b	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
2.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.4b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

1.0ms	(exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
1.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
0.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series42.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
3.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

simplify2.2s

Counts

63 → 63

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	67	842
1	94	798
2	126	714
3	207	714
4	544	714
5	2245	714
done	5000	714

prune194.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.3b

regimes186.0ms

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	11	14
done	11	14

end0.0ms

sample22.7s

Algorithm

intervals

Results

13.8s	7889×	body	10240	exit
5.1s	3208×	body	2560	valid
1.8s	2482×	body	1280	valid
692.0ms	15931×	body	80	nan
494.0ms	1264×	body	640	valid
171.0ms	627×	body	320	valid
61.0ms	308×	body	160	valid
15.0ms	7×	body	5120	nan
14.0ms	111×	body	80	valid
8.0ms	8×	body	2560	nan
5.0ms	9×	body	1280	nan
2.0ms	7×	body	640	nan
2.0ms	8×	body	320	nan
1.0ms	5×	body	160	nan