Details

sample1.3s

Algorithm

intervals

Results

651.0ms	237×	body	10240	exit
266.0ms	111×	body	2560	valid
130.0ms	486×	body	80	nan
96.0ms	75×	body	1280	valid
28.0ms	40×	body	640	valid
10.0ms	21×	body	320	valid
3.0ms	7×	body	160	valid
0.0ms	1×	body	320	nan
0.0ms	2×	body	80	valid

simplify4.0s

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	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

localize22.0ms

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))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin`

Counts

2 → 15

Calls

2 calls:

5.0ms	(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))

simplify3.1s

Counts

21 → 21

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	29	241
1	52	241
2	101	209
3	172	209
4	301	209
5	807	209
6	3981	209
done	5000	209

prune173.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 60.5b

localize29.0ms

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))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 30

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))))
1.0ms	(fmod (cosh a) (* a a))

series18.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(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))

simplify3.0s

Counts

39 → 39

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	51	463
1	83	410
2	148	359
3	235	359
4	387	359
5	984	359
6	4616	359
done	5001	359

prune232.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 60.5b

localize19.0ms

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))

rewrite11.0ms

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×	`add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 54

Calls

4 calls:

4.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series727.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
526.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify1.6s

Counts

66 → 66

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	49	782
1	72	734
2	114	658
3	182	658
4	302	658
5	671	658
6	2140	658
done	5002	658

prune459.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 60.5b

localize48.0ms

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))

rewrite9.0ms

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

Counts

4 → 41

Calls

4 calls:

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

series173.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(log (sqrt (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))

simplify1.7s

Counts

53 → 53

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	49	567
1	72	543
2	114	481
3	182	481
4	302	481
5	671	481
6	2140	481
done	5002	481

prune406.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 60.5b

regimes316.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
done	9	12

end0.0ms

sample35.4s

Algorithm

intervals

Results

20.2s	8167×	body	10240	exit
7.2s	3153×	body	2560	valid
2.8s	2488×	body	1280	valid
2.6s	16133×	body	80	nan
1.1s	1240×	body	640	valid
354.0ms	680×	body	320	valid
92.0ms	331×	body	160	valid
19.0ms	8×	body	5120	nan
15.0ms	108×	body	80	valid
5.0ms	6×	body	1280	nan
4.0ms	3×	body	2560	nan
3.0ms	6×	body	640	nan
3.0ms	7×	body	320	nan
1.0ms	6×	body	160	nan