Details

sample343.0ms

Algorithm

intervals

Results

66.0ms

547×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	2385
3	541
2	141
1	51
0	22

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- 1.0 v) (* (* w r) (* w r)))
0.4b	(* (* w r) (* w r))
0.4b	(/ 2.0 (* r r))
0.6b	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-cbrt-cube` `add-exp-log`
55×	`times-frac`
43×	`pow1`
38×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
25×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp`
17×	`pow-prod-down`
11×	`associate-/r` `associate-/l`
7×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-plus` `associate-/l/`
1×	`pow2` `flip3--` `div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--`

Counts

4 → 159

Calls

4 calls:

44.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
44.0ms	(* (* w r) (* w r))
12.0ms	(/ 2.0 (* r r))
60.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
49.0ms	(* (* w r) (* w r))
30.0ms	(/ 2.0 (* r r))
75.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

simplify2.3s

Counts

171 → 171

Iterations

Iter	Nodes
done	5067
2	2977
1	701
0	246

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- 1.0 v) (* (* w r) (* w r)))
0.2b	(/ (/ 2.0 r) r)
0.4b	(* (* w r) (* w r))
0.6b	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
78×	`add-sqr-sqrt` `*-un-lft-identity`
66×	`add-cube-cbrt`
64×	`add-cbrt-cube` `add-exp-log`
43×	`pow1`
24×	`prod-exp` `cbrt-unprod`
21×	`associate-/l*`
19×	`cbrt-undiv` `div-exp`
17×	`pow-prod-down`
13×	`associate-/r*`
11×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
2×	`pow-plus`
1×	`pow2` `flip3--` `div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--`

Counts

4 → 208

Calls

4 calls:

57.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
12.0ms	(/ (/ 2.0 r) r)
22.0ms	(* (* w r) (* w r))
58.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
46.0ms	(/ (/ 2.0 r) r)
38.0ms	(* (* w r) (* w r))
66.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

simplify2.8s

Counts

220 → 220

Iterations

Iter	Nodes
done	5015
2	3427
1	919
0	342

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2.0 r) r)
0.2b	(/ (/ (- 1.0 v) (* w r)) (* w r))
0.2b	(/ (- 1.0 v) (* w r))
0.6b	(/ 0.125 (/ (/ (- 1.0 v) (* w r)) (* w r)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

194×	`times-frac`
94×	`add-sqr-sqrt` `*-un-lft-identity`
78×	`add-cube-cbrt`
64×	`add-cbrt-cube` `add-exp-log`
32×	`cbrt-undiv` `div-exp`
30×	`associate-/l*`
18×	`associate-/r*` `div-inv`
11×	`prod-exp` `cbrt-unprod`
8×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp` `associate-/l/`
3×	`div-sub`
1×	`flip3--` `associate-/r/` `flip--`

Counts

4 → 229

Calls

4 calls:

10.0ms	(/ (/ 2.0 r) r)
21.0ms	(/ (/ (- 1.0 v) (* w r)) (* w r))
27.0ms	(/ (- 1.0 v) (* w r))
42.0ms	(/ 0.125 (/ (/ (- 1.0 v) (* w r)) (* w r)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (/ 2.0 r) r)
87.0ms	(/ (/ (- 1.0 v) (* w r)) (* w r))
49.0ms	(/ (- 1.0 v) (* w r))
64.0ms	(/ 0.125 (/ (/ (- 1.0 v) (* w r)) (* w r)))

simplify2.5s

Counts

241 → 241

Iterations

Iter	Nodes
done	5012
2	3860
1	1056
0	403

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 0.125) (* w r)) (/ (sqrt 0.125) (/ (- 1.0 v) (* w r))))
0.4b	(* (sqrt 0.125) (* w r))
0.4b	(/ 2.0 (* r r))
0.5b	(/ (sqrt 0.125) (/ (- 1.0 v) (* w r)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

176×	`times-frac`
99×	`add-sqr-sqrt` `*-un-lft-identity`
77×	`add-cbrt-cube` `add-exp-log`
73×	`add-cube-cbrt`
60×	`associate-r` `sqrt-prod`
32×	`prod-exp` `cbrt-unprod`
22×	`cbrt-undiv` `div-exp`
18×	`pow1`
16×	`div-inv`
13×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r*`
9×	`pow-prod-down` `associate-/l*`
7×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/` `*-commutative`
1×	`associate-*r/`

Counts

4 → 232

Calls

4 calls:

85.0ms	(* (* (sqrt 0.125) (* w r)) (/ (sqrt 0.125) (/ (- 1.0 v) (* w r))))
21.0ms	(* (sqrt 0.125) (* w r))
13.0ms	(/ 2.0 (* r r))
41.0ms	(/ (sqrt 0.125) (/ (- 1.0 v) (* w r)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (* (sqrt 0.125) (* w r)) (/ (sqrt 0.125) (/ (- 1.0 v) (* w r))))
57.0ms	(* (sqrt 0.125) (* w r))
29.0ms	(/ 2.0 (* r r))
165.0ms	(/ (sqrt 0.125) (/ (- 1.0 v) (* w r)))

simplify3.2s

Counts

244 → 244

Iterations

Iter	Nodes
done	5009
2	4364
1	1068
0	339

prune1.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes677.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	27
1	27
0	22

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.7s

17011×

body

valid