Details

sample1.7s

Algorithm

intervals

Results

1.0s	266×	body	10240	exit
299.0ms	100×	body	2560	valid
108.0ms	76×	body	1280	valid
56.0ms	547×	body	80	nan
33.0ms	40×	body	640	valid
16.0ms	29×	body	320	valid
3.0ms	8×	body	160	valid
1.0ms	3×	body	80	valid

simplify5.0s

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	91	10
5	373	10
6	3269	10
done	5001	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.5b

localize34.0ms

Local error

Found 2 expressions with local error:

3.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.6b	(fmod (cosh a) (* a a))

rewrite6.0ms

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)))
19.0ms	(fmod (cosh a) (* a a))

simplify4.2s

Counts

21 → 21

Iterations

Useful iterations: 2 (45.0ms)

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

prune200.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.0b

localize40.0ms

Local error

Found 3 expressions with local error:

3.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.4b	(log (exp (fmod (cosh a) (* a a))))
59.6b	(fmod (cosh a) (* a a))

rewrite11.0ms

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))

series18.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
6.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(fmod (cosh a) (* a a))

simplify4.2s

Counts

39 → 39

Iterations

Useful iterations: 2 (45.0ms)

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

prune343.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.0b

localize50.0ms

Local error

Found 4 expressions with local error:

2.5b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.5b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))

rewrite19.0ms

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:

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

series455.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
234.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.2s

Counts

66 → 66

Iterations

Useful iterations: 2 (47.0ms)

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

prune654.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.0b

localize68.0ms

Local error

Found 4 expressions with local error:

2.5b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))

rewrite14.0ms

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:

10.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series234.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.2s

Counts

53 → 53

Iterations

Useful iterations: 2 (39.0ms)

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

prune541.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 60.0b

regimes484.0ms

Accuracy

0% (0.4b remaining)

Error of 60.4b against oracle of 60.0b and baseline of 60.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	47
done	13	47

end0.0ms

sample43.6s

Algorithm

intervals

Results

26.3s	8003×	body	10240	exit
8.6s	3136×	body	2560	valid
3.4s	2541×	body	1280	valid
1.9s	15975×	body	80	nan
1.1s	1281×	body	640	valid
311.0ms	642×	body	320	valid
145.0ms	288×	body	160	valid
20.0ms	6×	body	5120	nan
19.0ms	112×	body	80	valid
17.0ms	12×	body	2560	nan
6.0ms	7×	body	1280	nan
6.0ms	9×	body	640	nan
3.0ms	6×	body	320	nan
2.0ms	6×	body	160	nan