Details

sample487.0ms

Algorithm

intervals

Results

249.0ms

510×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize58.0ms

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)))

rewrite4.2s

Algorithm

rewrite-expression-head

Rules

46885×	`times-frac`
33412×	`add-sqr-sqrt`
25279×	`*-un-lft-identity`
15409×	`associate-l`
13718×	`add-cube-cbrt`
10824×	`associate-r`
7096×	`difference-of-squares`
4525×	`unswap-sqr`
4465×	`distribute-lft-out--`
3608×	`*-commutative`
991×	`associate-/r*`
239×	`div-inv`
189×	`associate-/l*`
114×	`associate-/r/`
100×	`add-cbrt-cube` `add-exp-log`
54×	`associate-/l/`
48×	`cbrt-undiv` `div-exp`
24×	`prod-exp` `cbrt-unprod`
12×	`swap-sqr`
7×	`clear-num` `frac-2neg`
4×	`pow1` `flip3--` `insert-posit16` `flip--` `add-log-exp`
3×	`div-sub`
2×	`associate-*l/`

Counts

4 → 16976

Calls

4 calls:

45.0ms	(/ (- 1 v) (* w r))
116.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
14.0ms	(/ 2 (* r r))
953.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (- 1 v) (* w r))
90.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
28.0ms	(/ 2 (* r r))
149.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

simplify24.1s

Counts

16988 → 16988

Iterations

Iter	Nodes
done	17151
0	17151

prune1.7m

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

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)))

rewrite4.3s

Algorithm

rewrite-expression-head

Rules

46915×	`times-frac`
33412×	`add-sqr-sqrt`
25287×	`*-un-lft-identity`
15397×	`associate-l`
13726×	`add-cube-cbrt`
10812×	`associate-r`
7096×	`difference-of-squares`
4521×	`unswap-sqr`
4465×	`distribute-lft-out--`
3604×	`*-commutative`
982×	`associate-/r*`
243×	`div-inv`
202×	`associate-/l*`
114×	`associate-/r/`
100×	`add-cbrt-cube` `add-exp-log`
63×	`associate-/l/`
49×	`cbrt-undiv` `div-exp`
23×	`prod-exp` `cbrt-unprod`
8×	`clear-num` `frac-2neg`
4×	`pow1` `flip3--` `insert-posit16` `flip--` `add-log-exp`
3×	`div-sub`
2×	`associate-*l/`

Counts

4 → 16977

Calls

4 calls:

12.0ms	(/ (/ 2 r) r)
32.0ms	(/ (- 1 v) (* w r))
139.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
843.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (/ 2 r) r)
28.0ms	(/ (- 1 v) (* w r))
87.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
123.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

simplify21.9s

Counts

16989 → 16989

Iterations

Iter	Nodes
done	17180
0	17180

prune1.7m

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* w r))
0.5b	(/ 2 (* r r))
0.7b	(/ 0.125 (/ 1 (* w r)))
6.8b	(/ (- 3 (* v 2)) (/ (- 1 v) (* w r)))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

1453×	`times-frac`
1343×	`add-sqr-sqrt`
1126×	`*-un-lft-identity`
527×	`add-cube-cbrt`
348×	`difference-of-squares`
287×	`associate-l`
251×	`distribute-lft-out--`
210×	`associate-r`
167×	`associate-/r*`
147×	`unswap-sqr`
70×	`*-commutative`
48×	`add-exp-log`
41×	`associate-/r/`
32×	`add-cbrt-cube`
25×	`associate-/l*`
22×	`div-exp`
16×	`div-inv`
14×	`cbrt-undiv`
12×	`swap-sqr`
8×	`prod-exp`
7×	`pow1`
6×	`clear-num` `frac-2neg`
4×	`rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `add-log-exp` `associate-/l/`
2×	`flip3--` `pow-flip` `flip--`
1×	`div-sub` `pow-prod-down` `inv-pow`

Counts

4 → 1011

Calls

4 calls:

23.0ms	(/ 1 (* w r))
15.0ms	(/ 2 (* r r))
34.0ms	(/ 0.125 (/ 1 (* w r)))
139.0ms	(/ (- 3 (* v 2)) (/ (- 1 v) (* w r)))

series134.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ 1 (* w r))
30.0ms	(/ 2 (* r r))
26.0ms	(/ 0.125 (/ 1 (* w r)))
67.0ms	(/ (- 3 (* v 2)) (/ (- 1 v) (* w r)))

simplify3.3s

Counts

1023 → 1023

Iterations

Iter	Nodes
done	5001
1	4264
0	1276

prune6.0s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1 w) (/ 1 r))
0.5b	(/ 2 (* r r))
0.7b	(/ 0.125 (* (/ 1 w) (/ 1 r)))
6.8b	(/ (- 3 (* v 2)) (/ (- 1 v) (* w r)))

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

1466×	`add-sqr-sqrt`
1423×	`times-frac`
1195×	`*-un-lft-identity`
564×	`add-cube-cbrt`
348×	`difference-of-squares`
301×	`associate-l`
263×	`associate-/r*`
251×	`distribute-lft-out--`
224×	`associate-r`
175×	`unswap-sqr`
162×	`frac-times`
141×	`associate-/l*`
125×	`associate-/r/`
116×	`add-exp-log`
58×	`*-commutative`
56×	`div-exp`
48×	`add-cbrt-cube`
46×	`clear-num`
44×	`frac-2neg`
34×	`prod-exp`
21×	`div-inv`
20×	`cbrt-undiv`
18×	`associate-l/` `associate-r/`
16×	`rec-exp` `1-exp`
12×	`swap-sqr`
10×	`cbrt-unprod`
8×	`pow1`
6×	`un-div-inv`
4×	`insert-posit16` `add-log-exp` `associate-/l/`
3×	`pow-prod-down`
2×	`flip3--` `pow-flip` `flip--` `inv-pow`
1×	`div-sub`

Counts

4 → 1203

Calls

4 calls:

60.0ms	(* (/ 1 w) (/ 1 r))
14.0ms	(/ 2 (* r r))
88.0ms	(/ 0.125 (* (/ 1 w) (/ 1 r)))
121.0ms	(/ (- 3 (* v 2)) (/ (- 1 v) (* w r)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (/ 1 w) (/ 1 r))
59.0ms	(/ 2 (* r r))
35.0ms	(/ 0.125 (* (/ 1 w) (/ 1 r)))
96.0ms	(/ (- 3 (* v 2)) (/ (- 1 v) (* w r)))

simplify2.0s

Counts

1215 → 1215

Iterations

Iter	Nodes
done	5000
0	1500

prune7.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes333.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample4.8s

Algorithm

intervals

Results

4.1s

17079×

body

valid