Details

sample70.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
22.0ms	247×	body	80	nan

simplify4.2s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite256.0ms

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:

148.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
16.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
43.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
40.0ms	(* 3.0 (* v v))

series890.0ms

Counts

4 → 12

Calls

4 calls:

418.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
115.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
323.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
34.0ms	(* 3.0 (* v v))

simplify604.0ms

Counts

154 → 154

Iterations

Useful iterations: done (598.0ms)

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

prune874.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 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)))
0.0b	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
0.2b	(* 3.0 (* v v))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
31×	`associate-l`
28×	`add-cube-cbrt` `*-un-lft-identity`
25×	`distribute-rgt-in` `distribute-lft-in`
23×	`add-exp-log` `add-cbrt-cube`
20×	`frac-times` `sqrt-div`
19×	`flip3--` `flip--`
18×	`times-frac` `prod-diff`
17×	`pow1`
16×	`sqrt-prod`
14×	`associate-*r/`
10×	`prod-exp` `cbrt-unprod`
7×	`pow-prod-down` `associate-*l/`
6×	`sub-neg` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 161

Calls

4 calls:

14.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
65.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
141.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
45.0ms	(* 3.0 (* v v))

series841.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
256.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
443.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
38.0ms	(* 3.0 (* v v))

simplify626.0ms

Counts

173 → 173

Iterations

Useful iterations: done (616.0ms)

Iter	Nodes	Cost
0	337	4310
1	1046	4056
done	5000	3754

prune950.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite573.0ms

Algorithm

rewrite-expression-head

Rules

164×	`sqrt-div`
110×	`frac-times`
82×	`flip3--` `flip--`
50×	`associate-*r/`
43×	`associate-*l/`
35×	`add-exp-log` `add-cbrt-cube`
27×	`pow1`
26×	`associate-l`
24×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `prod-exp` `cbrt-unprod`
16×	`pow-prod-down` `sqrt-prod`
9×	`associate-r`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`sqrt-unprod`
1×	`rem-sqrt-square` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 192

Calls

4 calls:

16.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
370.0ms	(* (/ (sqrt 2.0) 4.0) (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))))
134.0ms	(* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v))))
23.0ms	(* 3.0 (* v v))

series870.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
448.0ms	(* (/ (sqrt 2.0) 4.0) (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))))
251.0ms	(* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v))))
35.0ms	(* 3.0 (* v v))

simplify567.0ms

Counts

204 → 204

Iterations

Useful iterations: done (549.0ms)

Iter	Nodes	Cost
0	400	7423
1	1207	5841
done	5001	5279

prune1.7s

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	16	27
1	20	27
done	20	27

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
639.0ms	7899×	body	80	nan