Details

sample294.0ms

Algorithm

intervals

Results

160.0ms

555×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	2856
3	629
2	156
1	53
0	22

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.8b

localize56.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* 0.125 (- 3 (* 2 v))) (* (* (* w w) r) r))
3.9b	(/ (* (* 0.125 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
5.3b	(* (* (* w w) r) r)
12.5b	(* (* w w) r)

rewrite462.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-cbrt-cube` `add-exp-log`
57×	`prod-exp` `cbrt-unprod`
50×	`pow1`
33×	`pow-prod-down`
15×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
9×	`cbrt-undiv` `div-exp`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`associate-/r*` `times-frac`
4×	`associate-l/` `associate-r/` `insert-posit16` `add-log-exp` `difference-of-squares`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
2×	`associate-/r/` `distribute-lft-out--` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

175.0ms	(* (* 0.125 (- 3 (* 2 v))) (* (* (* w w) r) r))
182.0ms	(/ (* (* 0.125 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
79.0ms	(* (* (* w w) r) r)
22.0ms	(* (* w w) r)

series334.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (* 0.125 (- 3 (* 2 v))) (* (* (* w w) r) r))
117.0ms	(/ (* (* 0.125 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
58.0ms	(* (* (* w w) r) r)
28.0ms	(* (* w w) r)

simplify1.8s

Counts

137 → 137

Iterations

Iter	Nodes
done	5002
2	2855
1	649
0	207

prune680.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 v) (* (* w r) (* w r)))
0.3b	(/ 2 (* r r))
0.4b	(* (* w r) (* w r))
5.2b	(/ (* 0.125 (- 3 (* 2 v))) (/ (- 1 v) (* (* w r) (* w r))))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-cbrt-cube` `add-exp-log`
43×	`pow1`
39×	`prod-exp` `cbrt-unprod`
31×	`times-frac`
29×	`cbrt-undiv` `div-exp`
24×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`pow-prod-down`
12×	`associate-/r*` `add-cube-cbrt`
10×	`associate-/l*`
8×	`difference-of-squares`
5×	`div-inv`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `distribute-lft-out--` `add-log-exp` `associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`pow-plus` `flip3--` `associate-*r/` `flip--`
1×	`pow2` `div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative`

Counts

4 → 153

Calls

4 calls:

30.0ms	(/ (- 1 v) (* (* w r) (* w r)))
6.0ms	(/ 2 (* r r))
35.0ms	(* (* w r) (* w r))
83.0ms	(/ (* 0.125 (- 3 (* 2 v))) (/ (- 1 v) (* (* w r) (* w r))))

series223.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (- 1 v) (* (* w r) (* w r)))
27.0ms	(/ 2 (* r r))
41.0ms	(* (* w r) (* w r))
88.0ms	(/ (* 0.125 (- 3 (* 2 v))) (/ (- 1 v) (* (* w r) (* w r))))

simplify2.1s

Counts

165 → 165

Iterations

Iter	Nodes
done	5390
2	3586
1	757
0	245

prune799.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 v) (* w r))
0.3b	(/ (/ (- 1 v) (* w r)) (* w r))
0.3b	(/ 2 (* r r))
5.2b	(/ (* 0.125 (- 3 (* 2 v))) (/ (/ (- 1 v) (* w r)) (* w r)))

rewrite147.0ms

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-*r/` `flip--`
1×	`associate-/r/`

Counts

4 → 170

Calls

4 calls:

29.0ms	(/ (- 1 v) (* w r))
41.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
12.0ms	(/ 2 (* r r))
59.0ms	(/ (* 0.125 (- 3 (* 2 v))) (/ (/ (- 1 v) (* w r)) (* w r)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- 1 v) (* w r))
87.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
52.0ms	(/ 2 (* r r))
98.0ms	(/ (* 0.125 (- 3 (* 2 v))) (/ (/ (- 1 v) (* w r)) (* w r)))

simplify2.3s

Counts

182 → 182

Iterations

Iter	Nodes
done	5002
2	4270
1	886
0	292

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

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))
5.2b	(/ (* 0.125 (- 3 (* 2 v))) (/ (/ (- 1 v) (* w r)) (* w r)))

rewrite111.0ms

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-*r/` `flip--`
1×	`associate-/r/`

Counts

4 → 219

Calls

4 calls:

14.0ms	(/ (/ 2 r) r)
24.0ms	(/ (- 1 v) (* w r))
22.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
44.0ms	(/ (* 0.125 (- 3 (* 2 v))) (/ (/ (- 1 v) (* w r)) (* w r)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (/ 2 r) r)
33.0ms	(/ (- 1 v) (* w r))
76.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
97.0ms	(/ (* 0.125 (- 3 (* 2 v))) (/ (/ (- 1 v) (* w r)) (* w r)))

simplify2.9s

Counts

231 → 231

Iterations

Iter	Nodes
done	5001
2	4781
1	1101
0	389

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes414.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample4.6s

Algorithm

intervals

Results

4.1s

17223×

body

valid