Details

sample245.0ms

Algorithm

intervals

Results

171.0ms

533×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
4	2001
3	526
2	144
1	53
0	22

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize75.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2 (* r r))
0.4b	(* (* w r) (* w r))
3.4b	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))
6.7b	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-cbrt-cube` `add-exp-log`
84×	`pow1`
71×	`prod-exp` `cbrt-unprod`
48×	`pow-prod-down`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`cbrt-undiv` `div-exp`
9×	`times-frac`
8×	`add-cube-cbrt`
7×	`associate-/r*`
4×	`associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `insert-posit16` `associate-/l*` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`clear-num` `frac-2neg` `pow-plus` `associate-r` `associate-l` `associate-/r/` `*-commutative` `div-inv` `distribute-lft-out--` `associate-/l/`
1×	`pow2` `swap-sqr`

Counts

4 → 150

Calls

4 calls:

7.0ms	(/ 2 (* r r))
23.0ms	(* (* w r) (* w r))
152.0ms	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))
128.0ms	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))

series374.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 2 (* r r))
37.0ms	(* (* w r) (* w r))
158.0ms	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))
131.0ms	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))

simplify1.2s

Counts

162 → 162

Iterations

Iter	Nodes
done	2005
2	2005
1	711
0	230

prune2.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1 v))
0.3b	(cbrt (- 1 v))
0.4b	(* (/ (* w r) (cbrt (- 1 v))) (/ (* w r) (cbrt (- 1 v))))
3.6b	(* (* (/ (* w r) (cbrt (- 1 v))) (/ (* w r) (cbrt (- 1 v)))) (/ (* (- 3 (* 2 v)) 0.125) (cbrt (- 1 v))))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log`
143×	`add-cbrt-cube`
100×	`prod-exp` `cbrt-unprod`
68×	`cbrt-undiv` `div-exp`
49×	`times-frac`
48×	`*-un-lft-identity`
46×	`cbrt-prod`
45×	`add-sqr-sqrt`
30×	`associate-r`
21×	`add-cube-cbrt`
17×	`swap-sqr`
16×	`pow1` `associate-l`
14×	`cbrt-div` `difference-of-squares`
10×	`associate-/r/`
9×	`distribute-lft-out--`
7×	`flip3--` `flip--`
6×	`frac-times` `associate-*l/`
5×	`div-inv`
4×	`pow-prod-down` `associate-*r/` `insert-posit16` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 212

Calls

4 calls:

6.0ms	(cbrt (- 1 v))
6.0ms	(cbrt (- 1 v))
59.0ms	(* (/ (* w r) (cbrt (- 1 v))) (/ (* w r) (cbrt (- 1 v))))
234.0ms	(* (* (/ (* w r) (cbrt (- 1 v))) (/ (* w r) (cbrt (- 1 v)))) (/ (* (- 3 (* 2 v)) 0.125) (cbrt (- 1 v))))

series413.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(cbrt (- 1 v))
64.0ms	(cbrt (- 1 v))
148.0ms	(* (/ (* w r) (cbrt (- 1 v))) (/ (* w r) (cbrt (- 1 v))))
152.0ms	(* (* (/ (* w r) (cbrt (- 1 v))) (/ (* w r) (cbrt (- 1 v)))) (/ (* (- 3 (* 2 v)) 0.125) (cbrt (- 1 v))))

simplify1.5s

Counts

224 → 224

Iterations

Iter	Nodes
done	2004
2	2004
1	1161
0	362

prune3.9s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1 v))
0.3b	(cbrt (- 1 v))
0.3b	(* (/ (* w r) (cbrt (- 1 v))) (* w r))
3.6b	(* (/ (* (/ (* w r) (cbrt (- 1 v))) (* w r)) (cbrt (- 1 v))) (/ (* (- 3 (* 2 v)) 0.125) (cbrt (- 1 v))))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

163×	`add-exp-log`
110×	`add-cbrt-cube`
76×	`prod-exp` `cbrt-unprod`
53×	`cbrt-undiv` `div-exp`
32×	`add-sqr-sqrt`
30×	`cbrt-prod` `-un-lft-identity` `associate-l*`
27×	`times-frac`
16×	`associate-r`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`cbrt-div` `difference-of-squares`
6×	`associate-/r/`
5×	`flip3--` `flip--` `distribute-lft-out--`
4×	`pow-prod-down` `insert-posit16` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `associate-l/` `-commutative`
1×	`frac-times` `associate-*r/` `unswap-sqr`

Counts

4 → 166

Calls

4 calls:

3.0ms	(cbrt (- 1 v))
3.0ms	(cbrt (- 1 v))
36.0ms	(* (/ (* w r) (cbrt (- 1 v))) (* w r))
170.0ms	(* (/ (* (/ (* w r) (cbrt (- 1 v))) (* w r)) (cbrt (- 1 v))) (/ (* (- 3 (* 2 v)) 0.125) (cbrt (- 1 v))))

series438.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(cbrt (- 1 v))
64.0ms	(cbrt (- 1 v))
172.0ms	(* (/ (* w r) (cbrt (- 1 v))) (* w r))
130.0ms	(* (/ (* (/ (* w r) (cbrt (- 1 v))) (* w r)) (cbrt (- 1 v))) (/ (* (- 3 (* 2 v)) 0.125) (cbrt (- 1 v))))

simplify1.3s

Counts

178 → 178

Iterations

Iter	Nodes
done	2000
2	2000
1	1059
0	336

prune3.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (* w r) (cbrt (- 1 v))) (* w r))
1.4b	(* (sqrt (/ (* (/ (* w r) (cbrt (- 1 v))) (* w r)) (cbrt (- 1 v)))) (/ (* (- 3 (* 2 v)) 0.125) (cbrt (- 1 v))))
12.0b	(sqrt (/ (* (/ (* w r) (cbrt (- 1 v))) (* w r)) (cbrt (- 1 v))))
12.0b	(sqrt (/ (* (/ (* w r) (cbrt (- 1 v))) (* w r)) (cbrt (- 1 v))))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-prod`
45×	`times-frac`
41×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`add-exp-log`
33×	`associate-l`
30×	`cbrt-prod`
28×	`add-cbrt-cube`
20×	`add-cube-cbrt`
16×	`associate-r`
15×	`prod-exp` `cbrt-unprod`
13×	`pow1`
10×	`cbrt-div` `associate-/r/` `difference-of-squares`
6×	`cbrt-undiv` `div-exp`
5×	`flip3--` `div-inv` `flip--` `distribute-lft-out--`
4×	`sqrt-div` `pow-prod-down` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`
1×	`frac-times` `associate-*r/`

Counts

4 → 148

Calls

4 calls:

49.0ms	(* (/ (* w r) (cbrt (- 1 v))) (* w r))
181.0ms	(* (sqrt (/ (* (/ (* w r) (cbrt (- 1 v))) (* w r)) (cbrt (- 1 v)))) (/ (* (- 3 (* 2 v)) 0.125) (cbrt (- 1 v))))
38.0ms	(sqrt (/ (* (/ (* w r) (cbrt (- 1 v))) (* w r)) (cbrt (- 1 v))))
30.0ms	(sqrt (/ (* (/ (* w r) (cbrt (- 1 v))) (* w r)) (cbrt (- 1 v))))

series703.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (/ (* w r) (cbrt (- 1 v))) (* w r))
246.0ms	(* (sqrt (/ (* (/ (* w r) (cbrt (- 1 v))) (* w r)) (cbrt (- 1 v)))) (/ (* (- 3 (* 2 v)) 0.125) (cbrt (- 1 v))))
156.0ms	(sqrt (/ (* (/ (* w r) (cbrt (- 1 v))) (* w r)) (cbrt (- 1 v))))
142.0ms	(sqrt (/ (* (/ (* w r) (cbrt (- 1 v))) (* w r)) (cbrt (- 1 v))))

simplify1.3s

Counts

160 → 160

Iterations

Iter	Nodes
done	2015
2	2015
1	871
0	312

prune3.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes538.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	38
1	38
0	28

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.3s

16924×

body

valid