Details

sample321.0ms

Algorithm

intervals

Results

80.0ms

590×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3439
3	656
2	152
1	51
0	22

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.1b

localize77.0ms

Local error

Found 4 expressions with local error:

4.6b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.8b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.4b	(* (* (* w w) r) r)
8.6b	(* (* w w) r)

rewrite611.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

236.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
239.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
96.0ms	(* (* (* w w) r) r)
33.0ms	(* (* w w) r)

series331.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
117.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
44.0ms	(* (* (* w w) r) r)
44.0ms	(* (* w w) r)

simplify518.0ms

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
1	672
0	201

prune770.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.6b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* r r))
0.6b	(/ (- 1.0 v) (* w (* w r)))
6.1b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (* w (* w r))) r))
6.2b	(/ (/ (- 1.0 v) (* w (* w r))) r)

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

170×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
77×	`add-cbrt-cube` `add-exp-log`
58×	`add-cube-cbrt`
36×	`cbrt-undiv` `associate-/r*` `div-exp`
18×	`prod-exp` `cbrt-unprod` `associate-/l*`
16×	`div-inv`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l/`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
3×	`div-sub`
2×	`flip3--` `associate-*r/` `flip--`
1×	`associate-/r/`

Counts

4 → 206

Calls

4 calls:

7.0ms	(/ 2.0 (* r r))
23.0ms	(/ (- 1.0 v) (* w (* w r)))
54.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (* w (* w r))) r))
68.0ms	(/ (/ (- 1.0 v) (* w (* w r))) r)

series351.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 2.0 (* r r))
116.0ms	(/ (- 1.0 v) (* w (* w r)))
111.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (* w (* w r))) r))
73.0ms	(/ (/ (- 1.0 v) (* w (* w r))) r)

simplify624.0ms

Counts

218 → 218

Iterations

Iter	Nodes
done	5000
1	1195
0	364

prune1.7s

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	(/ 1 (* w (* w r)))
0.3b	(/ 2.0 (* r r))
0.5b	(/ (/ 0.125 (/ (- 1.0 v) (- 3.0 (* v 2.0)))) (/ (/ 1 (* w (* w r))) r))
6.6b	(/ (/ 1 (* w (* w r))) r)

rewrite582.0ms

Algorithm

rewrite-expression-head

Rules

6617×	`times-frac`
2732×	`add-sqr-sqrt` `*-un-lft-identity`
2264×	`add-cube-cbrt`
388×	`div-inv`
234×	`distribute-lft-out--` `difference-of-squares`
227×	`add-exp-log`
183×	`associate-/r/`
138×	`div-exp`
107×	`add-cbrt-cube`
81×	`associate-/l*`
78×	`flip3--` `flip--`
63×	`cbrt-undiv`
46×	`prod-exp`
30×	`associate-/r*`
16×	`cbrt-unprod`
15×	`rec-exp` `1-exp`
10×	`pow1`
4×	`clear-num` `frac-2neg` `add-log-exp`
3×	`pow-prod-down` `pow-flip`
2×	`associate-/l/`
1×	`inv-pow`

Counts

4 → 1963

Calls

4 calls:

47.0ms	(/ 1 (* w (* w r)))
12.0ms	(/ 2.0 (* r r))
164.0ms	(/ (/ 0.125 (/ (- 1.0 v) (- 3.0 (* v 2.0)))) (/ (/ 1 (* w (* w r))) r))
33.0ms	(/ (/ 1 (* w (* w r))) r)

series223.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (* w (* w r)))
47.0ms	(/ 2.0 (* r r))
108.0ms	(/ (/ 0.125 (/ (- 1.0 v) (- 3.0 (* v 2.0)))) (/ (/ 1 (* w (* w r))) r))
43.0ms	(/ (/ 1 (* w (* w r))) r)

simplify1.3s

Counts

1975 → 1975

Iterations

Iter	Nodes
done	5000
0	2959

prune16.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1 w) (* w r))
0.3b	(/ 2.0 (* r r))
0.5b	(/ (/ 0.125 (/ (- 1.0 v) (- 3.0 (* v 2.0)))) (/ (/ (/ 1 w) (* w r)) r))
6.6b	(/ (/ (/ 1 w) (* w r)) r)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

18034×	`times-frac`
6720×	`add-sqr-sqrt` `*-un-lft-identity`
5712×	`add-cube-cbrt`
721×	`div-inv`
504×	`distribute-lft-out--` `difference-of-squares`
393×	`associate-/r/`
222×	`add-exp-log`
168×	`flip3--` `flip--`
158×	`div-exp`
132×	`add-cbrt-cube`
101×	`associate-/l*`
88×	`cbrt-undiv`
60×	`associate-/r*`
21×	`prod-exp`
11×	`cbrt-unprod`
10×	`rec-exp` `1-exp`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
3×	`associate-/l/`

Counts

4 → 4090

Calls

4 calls:

19.0ms	(/ (/ 1 w) (* w r))
6.0ms	(/ 2.0 (* r r))
245.0ms	(/ (/ 0.125 (/ (- 1.0 v) (- 3.0 (* v 2.0)))) (/ (/ (/ 1 w) (* w r)) r))
33.0ms	(/ (/ (/ 1 w) (* w r)) r)

series190.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (/ 1 w) (* w r))
28.0ms	(/ 2.0 (* r r))
99.0ms	(/ (/ 0.125 (/ (- 1.0 v) (- 3.0 (* v 2.0)))) (/ (/ (/ 1 w) (* w r)) r))
44.0ms	(/ (/ (/ 1 w) (* w r)) r)

simplify2.3s

Counts

4102 → 4102

Iterations

Iter	Nodes
done	6174
0	6174

prune42.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes364.0ms

Accuracy

88.2% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 2.3b

bsearch325.0ms

Steps

Iters	Range		Point
8	1.1834727808393509e+24	9.583338110176862e+26	8.669139877854382e+25
7	-9.713669503619017e+174	-3.246273958027729e+173	-3.2937574261351845e+173

simplify6.0ms

Iterations

Iter	Nodes
done	64
1	64
0	54

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.6s

17215×

body

valid