Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
9.0ms	238×	body	80	nan

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	180	19
4	356	19
5	657	19
6	935	19
7	1052	19
8	1133	19
done	1133	19

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 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 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
26×	`associate-l`
22×	`add-exp-log` `times-frac` `add-cbrt-cube`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`frac-times`
17×	`sqrt-prod`
16×	`sqrt-div`
15×	`pow1`
14×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`div-inv` `difference-of-squares`

Counts

3 → 113

Calls

3 calls:

64.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
34.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms	(* 3.0 (* v v))

series513.0ms

Counts

3 → 9

Calls

3 calls:

295.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
193.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify1.2s

Counts

122 → 122

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	259	2814
1	746	2580
2	2784	2406
done	5001	2396

prune300.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `sqrt-div` `flip--`
4×	`frac-times` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`unswap-sqr`
2×	`associate-r/` `associate-l/` `*-commutative` `add-log-exp`
1×	`difference-of-squares`

Counts

2 → 50

Calls

2 calls:

31.0ms	(* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))
17.0ms	(* 3.0 (* v v))

series190.0ms

Counts

2 → 6

Calls

2 calls:

165.0ms	(* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms	(* 3.0 (* v v))

simplify2.0s

Counts

56 → 56

Iterations

Useful iterations: 3 (923.0ms)

Iter	Nodes	Cost
0	146	1021
1	353	917
2	1220	859
3	4591	853
done	5000	853

prune144.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample818.0ms

Algorithm

intervals

Results

290.0ms	7918×	body	80	nan
283.0ms	8000×	body	80	valid