Details

sample242.0ms

Algorithm

intervals

Results

127.0ms

571×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 v) (* w r))
0.3b	(/ (/ (- 1 v) (* w r)) (* w r))
0.4b	(/ 2 (* r r))
2.4b	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

rewrite125.0ms

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:

19.0ms	(/ (- 1 v) (* w r))
40.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
13.0ms	(/ 2 (* r r))
49.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (- 1 v) (* w r))
82.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
31.0ms	(/ 2 (* r r))
95.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

simplify2.4s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
2	4136
1	883
0	292

prune916.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2 r) r)
0.2b	(/ (- 1 v) (* w r))
0.3b	(/ (/ (- 1 v) (* w r)) (* w r))
2.4b	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

rewrite115.0ms

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)
29.0ms	(/ (- 1 v) (* w r))
25.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
40.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (/ 2 r) r)
43.0ms	(/ (- 1 v) (* w r))
66.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
83.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

simplify2.7s

Counts

231 → 231

Iterations

Iter	Nodes
done	5000
2	4456
1	1098
0	389

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 v) (* w r))
0.3b	(/ 1 (* w r))
0.3b	(/ (/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* w r))) (/ 1 (* w r)))
4.4b	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* w r)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

312×	`times-frac`
279×	`add-exp-log`
163×	`div-exp`
143×	`add-cbrt-cube`
104×	`add-sqr-sqrt` `*-un-lft-identity`
79×	`cbrt-undiv`
68×	`add-cube-cbrt`
65×	`prod-exp`
38×	`div-inv`
29×	`cbrt-unprod`
25×	`associate-/l*`
24×	`difference-of-squares`
19×	`associate-/r*`
16×	`rec-exp` `1-exp`
12×	`distribute-lft-out--`
10×	`associate-/r/`
7×	`pow1`
5×	`associate-/l/`
4×	`clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
2×	`flip3--` `associate-*l/` `pow-flip` `flip--`
1×	`div-sub` `pow-prod-down` `inv-pow`

Counts

4 → 317

Calls

4 calls:

25.0ms	(/ (- 1 v) (* w r))
10.0ms	(/ 1 (* w r))
36.0ms	(/ (/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* w r))) (/ 1 (* w r)))
21.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* w r)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (- 1 v) (* w r))
11.0ms	(/ 1 (* w r))
101.0ms	(/ (/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* w r))) (/ 1 (* w r)))
96.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* w r)))

simplify1.7s

Counts

329 → 329

Iterations

Iter	Nodes
done	5001
1	1533
0	486

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 v) (* w r))
0.3b	(/ (/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* w r))) (* (/ 1 w) (/ 1 r)))
0.3b	(* (/ 1 w) (/ 1 r))
4.4b	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* w r)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

731×	`add-exp-log`
429×	`div-exp`
243×	`add-cbrt-cube`
219×	`prod-exp`
129×	`cbrt-undiv`
105×	`times-frac`
72×	`add-sqr-sqrt`
64×	`rec-exp` `1-exp`
63×	`cbrt-unprod`
54×	`*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`associate-/l*`
13×	`associate-r` `associate-l`
12×	`associate-/r*` `difference-of-squares`
11×	`div-inv`
9×	`unswap-sqr`
8×	`pow1`
7×	`associate-/r/`
6×	`distribute-lft-out--`
5×	`associate-/l/`
4×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down`
2×	`frac-times` `flip3--` `associate-*r/` `un-div-inv` `pow-flip` `flip--` `inv-pow`
1×	`div-sub` `*-commutative`

Counts

4 → 350

Calls

4 calls:

13.0ms	(/ (- 1 v) (* w r))
36.0ms	(/ (/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* w r))) (* (/ 1 w) (/ 1 r)))
27.0ms	(* (/ 1 w) (/ 1 r))
45.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* w r)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (- 1 v) (* w r))
96.0ms	(/ (/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* w r))) (* (/ 1 w) (/ 1 r)))
17.0ms	(* (/ 1 w) (/ 1 r))
82.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* w r)))

simplify1.7s

Counts

362 → 362

Iterations

Iter	Nodes
done	5003
1	1446
0	510

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes243.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample4.8s

Algorithm

intervals

Results

4.2s

17082×

body

valid