Details

sample73.0ms

Algorithm

intervals

Results

24.0ms	274×	body	160	nan
15.0ms	524×	body	80	nan
10.0ms	256×	body	80	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	11	9
done	11	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize9.0ms

Local error

Found 1 expressions with local error:

31.7b

(sqrt (- (* x x) 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`

Counts

1 → 16

Calls

1 calls:

13.0ms

(sqrt (- (* x x) 1.0))

series107.0ms

Counts

1 → 3

Calls

1 calls:

107.0ms

(sqrt (- (* x x) 1.0))

simplify1.7s

Counts

19 → 19

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	64	227
1	140	199
2	346	185
3	1088	185
done	5000	182

prune66.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- x (/ 0.5 x)) (/ 0.125 (pow x 3)))
0.3b	(/ 0.125 (pow x 3))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `times-frac`
32×	`*-un-lft-identity`
27×	`add-cube-cbrt`
13×	`unpow-prod-down` `cube-prod`
12×	`associate-/r*`
7×	`add-exp-log` `add-log-exp`
5×	`difference-of-squares` `sqr-pow`
4×	`cube-mult` `unpow3` `add-cbrt-cube`
3×	`diff-log` `div-exp` `associate-/l*` `distribute-lft-out--`
2×	`pow1` `sub-neg` `flip3--` `associate--l+` `frac-sub` `flip--`
1×	`cbrt-undiv` `associate--l-` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv`

Counts

2 → 90

Calls

2 calls:

201.0ms	(- (- x (/ 0.5 x)) (/ 0.125 (pow x 3)))
22.0ms	(/ 0.125 (pow x 3))

series121.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- (- x (/ 0.5 x)) (/ 0.125 (pow x 3)))
65.0ms	(/ 0.125 (pow x 3))

simplify847.0ms

Counts

96 → 96

Iterations

Useful iterations: done (842.0ms)

Iter	Nodes	Cost
0	155	1293
1	318	1118
2	946	1074
done	5000	1064

prune273.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	12	14
done	12	14

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.3s	16728×	body	80	nan
1.0s	7880×	body	160	nan
491.0ms	8000×	body	80	valid