Details

sample1.7s

Algorithm

intervals

Results

992.0ms	266×	body	10240	exit
305.0ms	100×	body	2560	valid
106.0ms	76×	body	1280	valid
55.0ms	547×	body	80	nan
31.0ms	40×	body	640	valid
16.0ms	29×	body	320	valid
3.0ms	8×	body	160	valid
1.0ms	3×	body	80	valid

simplify5.4s

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	91	10
5	373	10
6	3269	10
done	5001	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.5b

localize33.0ms

Local error

Found 2 expressions with local error:

3.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.6b	(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)))
18.0ms	(fmod (cosh a) (* a a))

simplify3.8s

Counts

25 → 25

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	33	277
1	55	277
2	102	245
3	172	245
4	303	245
5	810	245
6	3964	245
done	5000	245

prune206.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.0b

localize36.0ms

Local error

Found 3 expressions with local error:

3.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.4b	(log (exp (fmod (cosh a) (* a a))))
59.6b	(fmod (cosh a) (* a a))

rewrite9.0ms

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

series15.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(fmod (cosh a) (* a a))

simplify4.6s

Counts

45 → 45

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	57	521
1	89	460
2	154	409
3	236	409
4	382	409
5	971	409
6	4705	409
done	5001	409

prune380.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.0b

localize54.0ms

Local error

Found 4 expressions with local error:

2.5b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.5b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))

rewrite18.0ms

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)))))
7.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series432.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
216.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify3.1s

Counts

74 → 74

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	53	850
1	76	802
2	118	726
3	179	726
4	300	726
5	693	726
6	2554	726
done	5002	726

prune748.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.0b

localize64.0ms

Local error

Found 4 expressions with local error:

2.5b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

8.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series265.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
6.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify3.5s

Counts

61 → 61

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	53	629
1	76	605
2	118	543
3	179	543
4	300	543
5	693	543
6	2554	543
done	5002	543

prune677.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 60.0b

regimes452.0ms

Accuracy

0% (0.4b remaining)

Error of 60.4b against oracle of 60.0b and baseline of 60.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	47
done	13	47

end0.0ms

sample46.2s

Algorithm

intervals

Results

27.4s	8003×	body	10240	exit
9.6s	3136×	body	2560	valid
4.0s	2541×	body	1280	valid
1.7s	15975×	body	80	nan
1.0s	1281×	body	640	valid
328.0ms	642×	body	320	valid
209.0ms	288×	body	160	valid
23.0ms	12×	body	2560	nan
21.0ms	112×	body	80	valid
21.0ms	6×	body	5120	nan
6.0ms	9×	body	640	nan
6.0ms	7×	body	1280	nan
2.0ms	6×	body	320	nan
2.0ms	6×	body	160	nan