Details

sample70.0ms

Algorithm

intervals

Results

23.0ms	267×	body	80	nan
23.0ms	256×	body	80	valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	193	19
4	431	19
5	850	19
6	1262	19
7	1608	19
8	1811	19
9	1817	19
done	1817	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
24×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
22×	`times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

142.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
43.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
19.0ms	(* 3.0 (* v v))

series1.1s

Counts

4 → 12

Calls

4 calls:

546.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
137.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
323.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
60.0ms	(* 3.0 (* v v))

simplify765.0ms

Counts

154 → 154

Iterations

Useful iterations: done (754.0ms)

Iter	Nodes	Cost
0	301	3466
1	917	3190
done	5000	2976

prune790.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
0.2b	(* 3.0 (* v v))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`pow1`
10×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-l`
8×	`sqrt-div`
7×	`flip3--` `sqrt-prod` `flip--`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`sub-neg` `associate-r/` `associate-l/` `*-commutative`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `difference-of-squares`

Counts

3 → 81

Calls

3 calls:

15.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
76.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
23.0ms	(* 3.0 (* v v))

series427.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
268.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
29.0ms	(* 3.0 (* v v))

simplify2.9s

Counts

90 → 90

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	183	1664
1	517	1539
2	2852	1427
done	5002	1417

prune432.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	17	19
done	17	19

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	7965×	body	80	nan
810.0ms	8000×	body	80	valid