Details

sample1.1s

Algorithm

intervals

Results

576.0ms	237×	body	10240	exit
255.0ms	111×	body	2560	valid
111.0ms	75×	body	1280	valid
77.0ms	486×	body	80	nan
24.0ms	40×	body	640	valid
9.0ms	21×	body	320	valid
2.0ms	7×	body	160	valid
0.0ms	1×	body	320	nan
0.0ms	2×	body	80	valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.8b

localize21.0ms

Local error

Found 2 expressions with local error:

1.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.1b	(fmod (cosh a) (* a a))

rewrite7.0ms

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:

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

series26.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
19.0ms	(fmod (cosh a) (* a a))

simplify3.0s

Counts

25 → 25

Iterations

Useful iterations: 2 (48.0ms)

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

prune172.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 60.5b

localize15.0ms

Local error

Found 3 expressions with local error:

1.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
9.4b	(log (exp (fmod (cosh a) (* a a))))
60.1b	(fmod (cosh a) (* a a))

rewrite6.0ms

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))

series26.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
14.0ms	(fmod (cosh a) (* a a))

simplify3.9s

Counts

45 → 45

Iterations

Useful iterations: 2 (25.0ms)

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

prune288.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 60.5b

localize25.0ms

Local error

Found 4 expressions with local error:

2.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))

rewrite31.0ms

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:

18.0ms	(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))

series370.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
192.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.4s

Counts

74 → 74

Iterations

Useful iterations: 2 (32.0ms)

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

prune487.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 60.5b

localize23.0ms

Local error

Found 4 expressions with local error:

2.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))

rewrite8.0ms

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:

6.0ms	(log (sqrt (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))

series183.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.6s

Counts

61 → 61

Iterations

Useful iterations: 2 (47.0ms)

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

prune429.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 60.5b

regimes384.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
done	9	12

end0.0ms

sample35.8s

Algorithm

intervals

Results

20.8s	8167×	body	10240	exit
7.5s	3153×	body	2560	valid
3.3s	2488×	body	1280	valid
1.5s	16133×	body	80	nan
895.0ms	1240×	body	640	valid
598.0ms	680×	body	320	valid
132.0ms	331×	body	160	valid
21.0ms	8×	body	5120	nan
16.0ms	108×	body	80	valid
5.0ms	6×	body	1280	nan
3.0ms	6×	body	640	nan
3.0ms	3×	body	2560	nan
2.0ms	7×	body	320	nan
1.0ms	6×	body	160	nan