Details

sample940.0ms

Algorithm

intervals

Results

393.0ms	219×	body	10240	exit
184.0ms	112×	body	2560	valid
48.0ms	64×	body	1280	valid
27.0ms	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
1.0ms	5×	body	80	valid

simplify3.3s

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	2884	10
done	5000	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.8b

localize11.0ms

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` `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:

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)))
9.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts

25 → 25

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	33	277
1	49	277
2	72	245
3	156	245
4	383	245
5	1516	245
done	5000	245

prune102.0ms

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` `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:

0.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series7.0ms

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

simplify2.5s

Counts

45 → 45

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	57	521
1	79	460
2	114	409
3	220	409
4	550	409
5	2168	409
done	5001	409

prune177.0ms

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) (pow a 2)) 3)
0.2b	(cbrt (pow (fmod (cosh a) (pow a 2)) 3))
3.0b	(acos (pow (cbrt (pow (fmod (cosh a) (pow a 2)) 3)) (log1p a)))
59.7b	(fmod (cosh a) (pow a 2))

rewrite5.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 67

Calls

4 calls:

1.0ms	(pow (fmod (cosh a) (pow a 2)) 3)
1.0ms	(cbrt (pow (fmod (cosh a) (pow a 2)) 3))
0.0ms	(acos (pow (cbrt (pow (fmod (cosh a) (pow a 2)) 3)) (log1p a)))
0.0ms	(fmod (cosh a) (pow a 2))

series45.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(pow (fmod (cosh a) (pow a 2)) 3)
2.0ms	(cbrt (pow (fmod (cosh a) (pow a 2)) 3))
3.0ms	(acos (pow (cbrt (pow (fmod (cosh a) (pow a 2)) 3)) (log1p a)))
2.0ms	(fmod (cosh a) (pow a 2))

simplify1.8s

Counts

79 → 79

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	74	1039
1	142	839
2	423	752
3	2382	748
done	5000	744

prune214.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 59.5b

localize14.0ms

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))

rewrite6.0ms

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:

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))

series223.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
113.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify2.0s

Counts

74 → 74

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	53	850
1	70	804
2	98	726
3	177	726
4	430	726
5	1664	726
done	5000	726

prune323.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 59.5b

regimes59.0ms

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	11	13
done	11	13

end0.0ms

sample23.3s

Algorithm

intervals

Results

14.1s	7921×	body	10240	exit
5.1s	3169×	body	2560	valid
1.9s	2551×	body	1280	valid
726.0ms	16255×	body	80	nan
512.0ms	1243×	body	640	valid
181.0ms	635×	body	320	valid
61.0ms	300×	body	160	valid
11.0ms	5×	body	5120	nan
10.0ms	102×	body	80	valid
5.0ms	9×	body	1280	nan
5.0ms	5×	body	2560	nan
2.0ms	6×	body	640	nan
1.0ms	6×	body	160	nan
0.0ms	2×	body	320	nan