Details

sample929.0ms

Algorithm

intervals

Results

395.0ms	219×	body	10240	exit
183.0ms	112×	body	2560	valid
46.0ms	64×	body	1280	valid
20.0ms	459×	body	80	nan
15.0ms	39×	body	640	valid
6.0ms	22×	body	320	valid
3.0ms	14×	body	160	valid
2.0ms	1×	body	5120	nan
1.0ms	1×	body	1280	nan
0.0ms	5×	body	80	valid

simplify3.1s

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	207	10
6	832	10
7	2875	10
done	5000	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.8b

localize12.0ms

Local error

Found 2 expressions with local error:

3.0b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.7b	(fmod (cosh a) (* a a))

rewrite3.0ms

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:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify1.3s

Counts

21 → 21

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	29	241
1	45	241
2	68	209
3	149	209
4	374	209
5	1477	209
done	5000	209

prune89.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.6b

localize13.0ms

Local error

Found 3 expressions with local error:

3.0b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.3b	(log (exp (fmod (cosh a) (* a a))))
59.7b	(fmod (cosh a) (* a a))

rewrite3.0ms

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:

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))

series9.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(fmod (cosh a) (* a a))

simplify2.5s

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	51	463
1	73	410
2	105	359
3	213	359
4	544	359
5	2174	359
done	5001	359

prune143.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) 3)
0.2b	(cbrt (pow (fmod (cosh a) (* a a)) 3))
3.0b	(acos (pow (cbrt (pow (fmod (cosh a) (* a a)) 3)) (log1p a)))
59.7b	(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 59

Calls

4 calls:

1.0ms	(pow (fmod (cosh a) (* a a)) 3)
1.0ms	(cbrt (pow (fmod (cosh a) (* a a)) 3))
0.0ms	(acos (pow (cbrt (pow (fmod (cosh a) (* a a)) 3)) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series41.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(pow (fmod (cosh a) (* a a)) 3)
2.0ms	(cbrt (pow (fmod (cosh a) (* a a)) 3))
3.0ms	(acos (pow (cbrt (pow (fmod (cosh a) (* a a)) 3)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

simplify1.7s

Counts

71 → 71

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	69	959
1	142	771
2	406	684
3	2364	680
done	5001	676

prune174.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 59.5b

localize15.0ms

Local error

Found 4 expressions with local error:

4.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))

rewrite5.0ms

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:

2.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series217.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
108.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify1.9s

Counts

66 → 66

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	49	782
1	66	736
2	94	658
3	173	658
4	422	658
5	1622	658
done	5000	658

prune275.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 59.5b

regimes60.0ms

Accuracy

0% (0.5b remaining)

Error of 60.5b against oracle of 59.9b and baseline of 60.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
done	10	13

end0.0ms

sample23.1s

Algorithm

intervals

Results

14.0s	7921×	body	10240	exit
5.1s	3169×	body	2560	valid
1.9s	2551×	body	1280	valid
742.0ms	16255×	body	80	nan
501.0ms	1243×	body	640	valid
176.0ms	635×	body	320	valid
60.0ms	300×	body	160	valid
11.0ms	5×	body	5120	nan
10.0ms	102×	body	80	valid
5.0ms	5×	body	2560	nan
5.0ms	9×	body	1280	nan
2.0ms	6×	body	640	nan
1.0ms	6×	body	160	nan
0.0ms	2×	body	320	nan