Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	242×	body	80	nan

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	182	10
3	370	10
4	713	10
5	1066	10
6	1201	10
7	1308	10
8	1308	10
done	1308	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))))
0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.1b	(* 3.0 (* v v))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `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`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
33.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
69.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
17.0ms	(* 3.0 (* v v))

series601.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
195.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
298.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
29.0ms	(* 3.0 (* v v))

simplify89.0ms

Counts

140 → 140

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	809	1605
1	3621	1516
2	5001	1513
done	5001	1513

prune364.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))
0.2b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
29×	`associate-l`
28×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
21×	`pow1`
17×	`sqrt-prod`
14×	`associate-r`
13×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
8×	`sqrt-div` `unswap-sqr`
7×	`associate-*l/`
4×	`frac-times` `flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 119

Calls

4 calls:

32.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
17.0ms	(* 3.0 (* v v))
18.0ms	(* 3.0 (* v v))
65.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms	(* 3.0 (* v v))
24.0ms	(* 3.0 (* v v))
206.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

simplify71.0ms

Counts

131 → 131

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	619	1150
1	2905	1060
2	5001	1058
done	5001	1058

prune532.0ms

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	26	19
1	30	19
2	37	19
3	39	19
4	39	19
done	39	19

end0.0ms

sample784.0ms

Algorithm

intervals

Results

276.0ms	8000×	body	80	valid
268.0ms	7905×	body	80	nan