Details

sample1.4s

Algorithm

intervals

Results

800.0ms	234×	body	10240	exit
293.0ms	101×	body	2560	valid
91.0ms	82×	body	1280	valid
46.0ms	537×	body	80	nan
29.0ms	43×	body	640	valid
10.0ms	21×	body	320	valid
3.0ms	8×	body	160	valid
1.0ms	1×	body	1280	nan
0.0ms	1×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3169
5	373
4	91
3	44
2	24
1	16
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize17.0ms

Local error

Found 2 expressions with local error:

1.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.4b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
11.0ms	(fmod (cosh a) (* a a))

simplify2.4s

Counts

21 → 21

Iterations

Iter	Nodes
done	5002
6	4031
5	804
4	300
3	171
2	101
1	52
0	29

prune116.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.7b

localize20.0ms

Local error

Found 3 expressions with local error:

1.9b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.8b	(log (exp (fmod (cosh a) (* a a))))
60.4b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-pow`
3×	`log-prod` `exp-prod` `add-cbrt-cube` `add-exp-log` `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))

series9.0ms

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))

simplify2.7s

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
6	4802
5	985
4	386
3	234
2	148
1	84
0	51

prune222.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.7b

localize46.0ms

Local error

Found 4 expressions with local error:

2.3b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.3b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
60.4b	(fmod (cosh a) (* a a))
60.4b	(fmod (cosh a) (* a a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `add-exp-log` `sqrt-prod`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 54

Calls

4 calls:

6.0ms	(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))

series792.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
632.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify1.5s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
6	2138
5	671
4	302
3	182
2	114
1	72
0	49

prune542.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.7b

localize31.0ms

Local error

Found 4 expressions with local error:

1.9b	(acos (pow (+ (* (/ (fmod (cosh a) (* a a)) 2) 1) (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log1p a)))
2.3b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
60.4b	(fmod (cosh a) (* a a))
60.4b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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×	`acos-asin` `pow1/2` `rem-log-exp`

Counts

4 → 42

Calls

4 calls:

1.0ms	(acos (pow (+ (* (/ (fmod (cosh a) (* a a)) 2) 1) (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log1p a)))
3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series155.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(acos (pow (+ (* (/ (fmod (cosh a) (* a a)) 2) 1) (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log1p a)))
142.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify850.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
5	1633
4	639
3	327
2	172
1	105
0	70

prune319.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 60.7b

regimes416.0ms

Accuracy

0% (0.5b remaining)

Error of 60.0b against oracle of 59.6b and baseline of 60.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample33.8s

Algorithm

intervals

Results

20.0s	7938×	body	10240	exit
7.0s	3087×	body	2560	valid
3.1s	2524×	body	1280	valid
1.6s	15750×	body	80	nan
706.0ms	1226×	body	640	valid
265.0ms	674×	body	320	valid
97.0ms	355×	body	160	valid
18.0ms	134×	body	80	valid
15.0ms	6×	body	5120	nan
11.0ms	8×	body	2560	nan
7.0ms	8×	body	1280	nan
3.0ms	9×	body	640	nan
2.0ms	6×	body	320	nan
1.0ms	5×	body	160	nan