Details

sample196.0ms

Algorithm

intervals

Results

106.0ms

510×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
4	2296
3	526
2	144
1	53
0	22

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 v) (* w r))
0.2b	(/ (/ (- 1 v) (* w r)) (* w r))
0.5b	(/ 2 (* r r))
3.9b	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-cbrt-cube` `add-exp-log`
77×	`times-frac`
48×	`cbrt-undiv` `div-exp`
36×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`prod-exp` `cbrt-unprod`
20×	`associate-/l*`
18×	`add-cube-cbrt`
17×	`associate-/r*`
12×	`difference-of-squares`
10×	`div-inv`
6×	`distribute-lft-out--`
5×	`associate-/l/`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
3×	`div-sub`
2×	`flip3--` `associate-*l/` `flip--`
1×	`associate-/r/`

Counts

4 → 170

Calls

4 calls:

28.0ms	(/ (- 1 v) (* w r))
39.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
13.0ms	(/ 2 (* r r))
51.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (- 1 v) (* w r))
69.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
52.0ms	(/ 2 (* r r))
137.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

simplify2.9s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
2	4136
1	883
0	292

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2 r) r)
0.2b	(/ (- 1 v) (* w r))
0.2b	(/ (/ (- 1 v) (* w r)) (* w r))
3.9b	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

149×	`times-frac`
100×	`add-cbrt-cube` `add-exp-log`
76×	`add-sqr-sqrt` `*-un-lft-identity`
58×	`add-cube-cbrt`
49×	`cbrt-undiv` `div-exp`
30×	`associate-/l*`
23×	`prod-exp` `cbrt-unprod`
19×	`associate-/r*`
14×	`div-inv`
12×	`difference-of-squares`
6×	`distribute-lft-out--` `associate-/l/`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
3×	`div-sub`
2×	`flip3--` `associate-*l/` `flip--`
1×	`associate-/r/`

Counts

4 → 219

Calls

4 calls:

14.0ms	(/ (/ 2 r) r)
30.0ms	(/ (- 1 v) (* w r))
28.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
38.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (/ 2 r) r)
27.0ms	(/ (- 1 v) (* w r))
73.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
96.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

simplify2.8s

Counts

231 → 231

Iterations

Iter	Nodes
done	5000
2	4456
1	1098
0	389

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- 3 (* v 2)) (/ (- 1 v) (* w r))) (/ 0.125 (/ 1 (* w r))))
0.3b	(/ 1 (* w r))
0.7b	(/ 0.125 (/ 1 (* w r)))
6.8b	(/ (- 3 (* v 2)) (/ (- 1 v) (* w r)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

203×	`add-exp-log`
172×	`times-frac`
107×	`add-cbrt-cube`
105×	`add-sqr-sqrt`
104×	`div-exp`
93×	`*-un-lft-identity`
72×	`add-cube-cbrt`
59×	`prod-exp`
52×	`cbrt-undiv`
35×	`associate-l`
27×	`cbrt-unprod`
26×	`associate-r`
19×	`div-inv`
18×	`associate-/r*`
14×	`difference-of-squares`
12×	`rec-exp` `1-exp`
9×	`pow1` `associate-/l*`
7×	`distribute-lft-out--`
4×	`associate-/r/` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg`
2×	`pow-prod-down` `pow-flip` `associate-/l/`
1×	`frac-times` `flip3--` `div-sub` `associate-l/` `associate-r/` `*-commutative` `flip--` `inv-pow`

Counts

4 → 272

Calls

4 calls:

81.0ms	(* (/ (- 3 (* v 2)) (/ (- 1 v) (* w r))) (/ 0.125 (/ 1 (* w r))))
9.0ms	(/ 1 (* w r))
11.0ms	(/ 0.125 (/ 1 (* w r)))
33.0ms	(/ (- 3 (* v 2)) (/ (- 1 v) (* w r)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (/ (- 3 (* v 2)) (/ (- 1 v) (* w r))) (/ 0.125 (/ 1 (* w r))))
13.0ms	(/ 1 (* w r))
21.0ms	(/ 0.125 (/ 1 (* w r)))
79.0ms	(/ (- 3 (* v 2)) (/ (- 1 v) (* w r)))

simplify1.9s

Counts

284 → 284

Iterations

Iter	Nodes
done	5000
1	1328
0	407

prune1.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (/ (/ 2 r) r)) (sqrt (/ (/ 2 r) r)))
3.9b	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))
13.0b	(sqrt (/ (/ 2 r) r))
13.0b	(sqrt (/ (/ 2 r) r))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

472×	`times-frac`
302×	`add-sqr-sqrt`
284×	`sqrt-prod`
230×	`*-un-lft-identity`
224×	`add-cube-cbrt`
71×	`add-cbrt-cube` `add-exp-log`
48×	`swap-sqr`
46×	`associate-r` `associate-l`
34×	`cbrt-undiv` `div-exp`
29×	`div-inv`
21×	`pow1`
18×	`prod-exp` `cbrt-unprod`
16×	`unswap-sqr`
14×	`associate-/r*`
10×	`sqrt-pow1` `pow1/2`
6×	`rem-sqrt-square` `sqrt-div`
5×	`pow-prod-up`
4×	`insert-posit16` `add-log-exp` `difference-of-squares`
3×	`pow-prod-down` `associate-*l/` `pow-sqr`
2×	`distribute-lft-out--` `associate-/l/`
1×	`pow2` `frac-times` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `flip3--` `sqrt-unprod` `associate-r/` `associate-/r/` `-commutative` `flip--` `associate-/l*`

Counts

4 → 370

Calls

4 calls:

38.0ms	(* (sqrt (/ (/ 2 r) r)) (sqrt (/ (/ 2 r) r)))
38.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))
6.0ms	(sqrt (/ (/ 2 r) r))
7.0ms	(sqrt (/ (/ 2 r) r))

series268.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (sqrt (/ (/ 2 r) r)) (sqrt (/ (/ 2 r) r)))
74.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))
39.0ms	(sqrt (/ (/ 2 r) r))
64.0ms	(sqrt (/ (/ 2 r) r))

simplify2.7s

Counts

382 → 382

Iterations

Iter	Nodes
done	5000
2	4939
1	1281
0	594

prune2.9s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes351.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.3s

17079×

body

valid