Details

sample1.2s

Algorithm

intervals

Results

634.0ms	197×	body	10240	exit
270.0ms	97×	body	2560	valid
105.0ms	77×	body	1280	valid
36.0ms	407×	body	80	nan
36.0ms	46×	body	640	valid
10.0ms	20×	body	320	valid
4.0ms	11×	body	160	valid
1.0ms	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	89	10
5	195	10
6	633	10
7	2582	10
done	5000	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize23.0ms

Local error

Found 2 expressions with local error:

2.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.5b	(fmod (cosh a) (* a a))

rewrite4.0ms

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))

series14.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify3.3s

Counts

21 → 21

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	29	241
1	43	241
2	61	209
3	90	209
4	148	209
5	288	209
6	765	209
7	2920	209
done	5000	209

prune124.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.5b

localize31.0ms

Local error

Found 3 expressions with local error:

2.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.3b	(log (exp (fmod (cosh a) (* a a))))
58.5b	(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)))
6.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series17.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(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))

simplify4.2s

Counts

39 → 39

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	51	463
1	70	410
2	92	359
3	130	359
4	211	359
5	428	359
6	1103	359
7	4017	359
done	5000	359

prune202.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.5b

localize19.0ms

Local error

Found 4 expressions with local error:

3.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
58.5b	(fmod (cosh a) (* a a))
58.5b	(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))

series406.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
176.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify2.1s

Counts

66 → 66

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	49	782
1	66	734
2	83	658
3	103	658
4	143	658
5	252	658
6	533	658
7	1583	658
done	5001	658

prune402.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.4b

localize28.0ms

Local error

Found 4 expressions with local error:

58.5b	(fmod (cosh a) (* a a))
58.5b	(fmod (cosh a) (* a a))
58.5b	(fmod (cosh a) (* a a))
58.5b	(fmod (cosh a) (* a a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

0.0ms	(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))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(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))

simplify4.4s

Counts

40 → 40

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	14	352
1	24	352
2	36	304
3	45	304
4	57	304
5	77	304
6	119	304
7	253	304
8	826	304
9	3628	304
done	5001	304

prune266.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 59.4b

regimes65.0ms

Accuracy

0% (0.4b remaining)

Error of 60.1b against oracle of 59.7b and baseline of 60.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
done	9	12

end0.0ms

sample36.3s

Algorithm

intervals

Results

21.4s	7920×	body	10240	exit
7.9s	3180×	body	2560	valid
2.8s	2456×	body	1280	valid
1.6s	15661×	body	80	nan
858.0ms	1226×	body	640	valid
583.0ms	673×	body	320	valid
98.0ms	333×	body	160	valid
20.0ms	132×	body	80	valid
12.0ms	4×	body	5120	nan
8.0ms	5×	body	2560	nan
5.0ms	6×	body	1280	nan
4.0ms	9×	body	320	nan
2.0ms	4×	body	640	nan
2.0ms	6×	body	160	nan