Details

sample1.3s

Algorithm

intervals

Results

753.0ms	278×	body	10240	exit
215.0ms	92×	body	2560	valid
94.0ms	89×	body	1280	valid
93.0ms	584×	body	80	nan
24.0ms	40×	body	640	valid
9.0ms	19×	body	320	valid
4.0ms	13×	body	160	valid
1.0ms	3×	body	80	valid

simplify11.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	18	10
2	45	10
3	162	10
done	5000	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize24.0ms

Local error

Found 2 expressions with local error:

3.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(fmod (cosh a) (* a a))

rewrite7.0ms

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:

2.0ms	(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)))
18.0ms	(fmod (cosh a) (* a a))

simplify12.2s

Counts

21 → 21

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	29	241
1	46	241
2	105	209
3	2160	209
done	5000	209

prune79.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.7b

localize15.0ms

Local error

Found 3 expressions with local error:

3.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.3b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))

rewrite5.0ms

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:

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))

series10.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify3.9s

Counts

39 → 39

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	51	463
1	81	403
2	191	359
done	5000	359

prune230.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 59.7b

localize18.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite10.0ms

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))

series362.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
185.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify4.5s

Counts

66 → 66

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	49	782
1	75	718
2	162	658
done	5000	658

prune365.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.7b

localize54.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (sqrt (sqrt (exp (fmod (cosh a) (* a a))))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`sqrt-pow1`
9×	`log-prod` `sqrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
7×	`pow1`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`exp-prod`
2×	`pow1/2`
1×	`rem-log-exp`

Counts

4 → 46

Calls

4 calls:

10.0ms	(log (sqrt (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))

series359.0ms

Counts

4 → 12

Calls

4 calls:

346.0ms	(log (sqrt (sqrt (exp (fmod (cosh a) (* a a))))))
5.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify3.8s

Counts

58 → 58

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	60	672
1	88	626
2	175	570
done	5001	570

prune458.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.7b

regimes274.0ms

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	9	12
done	9	12

end0.0ms

sample31.0s

Algorithm

intervals

Results

17.7s	7861×	body	10240	exit
6.5s	3177×	body	2560	valid
2.8s	2510×	body	1280	valid
2.0s	15864×	body	80	nan
769.0ms	1286×	body	640	valid
290.0ms	609×	body	320	valid
78.0ms	309×	body	160	valid
17.0ms	7×	body	5120	nan
14.0ms	109×	body	80	valid
10.0ms	10×	body	2560	nan
4.0ms	6×	body	1280	nan
3.0ms	10×	body	320	nan
3.0ms	7×	body	640	nan
2.0ms	10×	body	160	nan