Details

sample320.0ms

Algorithm

intervals

Results

106.0ms	95×	body	2560	valid
103.0ms	801×	body	80	nan
58.0ms	86×	body	1280	valid
19.0ms	43×	body	640	valid
6.0ms	19×	body	320	valid
1.0ms	5×	body	160	valid
1.0ms	8×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	1190
5	241
4	101
3	41
2	17
1	10
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize29.0ms

Local error

Found 2 expressions with local error:

0.7b	(fmod a (asin a))
30.9b	(pow (atan (fmod a (asin a))) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `pow1` `unpow-prod-down` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
2×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 24

Calls

2 calls:

0.0ms	(fmod a (asin a))
6.0ms	(pow (atan (fmod a (asin a))) (* a a))

series33.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(fmod a (asin a))
32.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify3.3s

Counts

30 → 30

Iterations

Iter	Nodes
done	5013
4	3850
3	863
2	267
1	110
0	48

prune143.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))
0.7b	(fmod a (asin a))
0.7b	(fmod a (asin a))
30.9b	(pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`pow1`
18×	`sqrt-prod`
13×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
7×	`add-exp-log`
6×	`add-cbrt-cube` `associate-r` `associate-l`
5×	`pow-prod-up`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-prod-down` `pow-sqr`
1×	`pow2` `pow-to-exp` `pow-unpow` `rem-square-sqrt` `pow-pow` `pow-plus` `sqrt-unprod` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

19.0ms	(* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))
0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
7.0ms	(pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))

series31.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))
2.0ms	(fmod a (asin a))
2.0ms	(fmod a (asin a))
24.0ms	(pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))

simplify3.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	5013
4	4364
3	1537
2	559
1	209
0	92

prune391.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 29.4b

simplify2.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample10.6s

Algorithm

intervals

Results

4.0s	23946×	body	80	nan
3.3s	3007×	body	2560	valid
1.7s	2530×	body	1280	valid
602.0ms	1236×	body	640	valid
171.0ms	607×	body	320	valid
125.0ms	317×	body	160	valid
84.0ms	303×	body	80	valid