Details

sample63.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
20.0ms	248×	body	80	nan

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	181	19
4	385	19
5	757	19
6	1135	19
7	1415	19
8	1565	19
9	1567	19
done	1567	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 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))))) (- 1.0 (* v v)))
0.2b	(* 3.0 (* v v))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

8.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
112.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
28.0ms	(* 3.0 (* v v))

series559.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
397.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
47.0ms	(* 3.0 (* v v))

simplify2.1s

Counts

85 → 85

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	227	2025
1	724	1840
2	4024	1692
done	5000	1682

prune520.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

31×	`associate-l`
29×	`add-sqr-sqrt`
23×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`frac-times` `sqrt-div`
19×	`flip3--` `flip--`
18×	`times-frac`
17×	`pow1`
16×	`sqrt-prod`
14×	`associate-*r/`
10×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
7×	`pow-prod-down` `associate-*l/`
6×	`sub-neg` `associate-r`
4×	`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 → 135

Calls

4 calls:

8.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
68.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
34.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
16.0ms	(* 3.0 (* v v))

series770.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
398.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
227.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
51.0ms	(* 3.0 (* v v))

simplify2.1s

Counts

147 → 147

Iterations

Useful iterations: 2 (831.0ms)

Iter	Nodes	Cost
0	297	3472
1	909	3250
2	4740	2994
done	5000	2994

prune774.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite465.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 185

Calls

4 calls:

8.0ms	(sqrt (- 1.0 (* v v)))
111.0ms	(* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v))))
298.0ms	(* (/ (sqrt 2.0) 4.0) (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))))
27.0ms	(* 3.0 (* v v))

series789.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sqrt (- 1.0 (* v v)))
230.0ms	(* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v))))
434.0ms	(* (/ (sqrt 2.0) 4.0) (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))))
59.0ms	(* 3.0 (* v v))

simplify623.0ms

Counts

197 → 197

Iterations

Useful iterations: done (612.0ms)

Iter	Nodes	Cost
0	397	7249
1	1195	5768
done	5000	5290

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	20	27
done	20	27

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	8000×	body	80	valid
700.0ms	7888×	body	80	nan