Details

sample300.0ms

Algorithm

intervals

Results

123.0ms	95×	body	2560	valid
69.0ms	801×	body	80	nan
54.0ms	86×	body	1280	valid
17.0ms	43×	body	640	valid
6.0ms	8×	body	80	valid
6.0ms	19×	body	320	valid
1.0ms	5×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `pow1` `unpow-prod-down` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
2×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 28

Calls

2 calls:

0.0ms	(fmod a (asin a))
11.0ms	(pow (atan (fmod a (asin a))) (* a a))

series26.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify3.5s

Counts

34 → 34

Iterations

Iter	Nodes
done	5006
4	3485
3	1069
2	284
1	116
0	52

prune168.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize21.0ms

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))

rewrite27.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 90

Calls

4 calls:

18.0ms	(* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))
0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
6.0ms	(pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))

series38.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))
3.0ms	(fmod a (asin a))
3.0ms	(fmod a (asin a))
29.0ms	(pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))

simplify4.5s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
4	4934
3	1467
2	454
1	217
0	98

prune421.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 29.4b

simplify1.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample10.3s

Algorithm

intervals

Results

3.8s	3007×	body	2560	valid
2.6s	23946×	body	80	nan
2.0s	2530×	body	1280	valid
691.0ms	607×	body	320	valid
486.0ms	1236×	body	640	valid
63.0ms	317×	body	160	valid
46.0ms	303×	body	80	valid