Details

sample573.0ms

Algorithm

intervals

Results

457.0ms

558×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

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

prune63.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize82.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (* (* w r) (* w r)))
0.4b	(/ 2.0 (* r r))
0.4b	(* (* w r) (* w r))
0.9b	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

rewrite235.0ms

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` `insert-posit16` `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 → 163

Calls

4 calls:

71.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
11.0ms	(/ 2.0 (* r r))
47.0ms	(* (* w r) (* w r))
90.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

series424.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
57.0ms	(/ 2.0 (* r r))
85.0ms	(* (* w r) (* w r))
149.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

simplify4.9s

Counts

175 → 175

Iterations

Iter	Nodes
done	5043
2	3018
1	707
0	250

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize94.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (* w r))
0.3b	(* (* w r) (/ 0.125 (/ (- 1.0 v) (* w r))))
0.4b	(/ 2.0 (* r r))
0.7b	(/ 0.125 (/ (- 1.0 v) (* w r)))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
60×	`add-sqr-sqrt` `*-un-lft-identity`
55×	`add-cbrt-cube` `add-exp-log`
42×	`add-cube-cbrt`
32×	`associate-r`
19×	`cbrt-undiv` `div-exp`
17×	`prod-exp` `cbrt-unprod`
11×	`associate-/r` `div-inv` `associate-/l`
9×	`pow1` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down`
2×	`associate-/r/` `associate-/l/`
1×	`flip3--` `div-sub` `associate-l` `associate-r/` `-commutative` `flip--`

Counts

4 → 177

Calls

4 calls:

35.0ms	(/ (- 1.0 v) (* w r))
100.0ms	(* (* w r) (/ 0.125 (/ (- 1.0 v) (* w r))))
24.0ms	(/ 2.0 (* r r))
39.0ms	(/ 0.125 (/ (- 1.0 v) (* w r)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (- 1.0 v) (* w r))
164.0ms	(* (* w r) (/ 0.125 (/ (- 1.0 v) (* w r))))
34.0ms	(/ 2.0 (* r r))
81.0ms	(/ 0.125 (/ (- 1.0 v) (* w r)))

simplify6.1s

Counts

189 → 189

Iterations

Iter	Nodes
done	5010
2	3829
1	899
0	295

prune2.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize100.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2.0 r) r)
0.2b	(/ (- 1.0 v) (* w r))
0.3b	(* (* w r) (/ 0.125 (/ (- 1.0 v) (* w r))))
0.7b	(/ 0.125 (/ (- 1.0 v) (* w r)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

169×	`times-frac`
100×	`add-sqr-sqrt` `*-un-lft-identity`
82×	`add-cube-cbrt`
55×	`add-cbrt-cube` `add-exp-log`
32×	`associate-r`
21×	`associate-/l*`
20×	`cbrt-undiv` `div-exp`
16×	`prod-exp` `cbrt-unprod`
15×	`div-inv`
13×	`associate-/r*`
9×	`pow1` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/l/`
2×	`associate-/r/`
1×	`flip3--` `div-sub` `associate-l` `associate-r/` `-commutative` `flip--`

Counts

4 → 226

Calls

4 calls:

24.0ms	(/ (/ 2.0 r) r)
40.0ms	(/ (- 1.0 v) (* w r))
106.0ms	(* (* w r) (/ 0.125 (/ (- 1.0 v) (* w r))))
30.0ms	(/ 0.125 (/ (- 1.0 v) (* w r)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (/ 2.0 r) r)
62.0ms	(/ (- 1.0 v) (* w r))
118.0ms	(* (* w r) (/ 0.125 (/ (- 1.0 v) (* w r))))
110.0ms	(/ 0.125 (/ (- 1.0 v) (* w r)))

simplify6.9s

Counts

238 → 238

Iterations

Iter	Nodes
done	5003
2	4495
1	1126
0	391

prune3.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* w r))
0.3b	(* (/ 1 (* w r)) (/ (- 1.0 v) (* w r)))
0.4b	(/ 2.0 (* r r))
0.9b	(/ 0.125 (* (/ 1 (* w r)) (/ (- 1.0 v) (* w r))))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-exp-log`
97×	`add-cbrt-cube`
80×	`div-exp`
78×	`prod-exp`
38×	`cbrt-undiv`
32×	`cbrt-unprod`
18×	`add-sqr-sqrt`
17×	`times-frac`
16×	`*-un-lft-identity`
14×	`rec-exp` `1-exp` `add-cube-cbrt`
9×	`pow1` `associate-r` `associate-/l*`
7×	`associate-l`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg` `associate-/r/`
2×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `pow-flip`
1×	`*-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

25.0ms	(/ 1 (* w r))
107.0ms	(* (/ 1 (* w r)) (/ (- 1.0 v) (* w r)))
15.0ms	(/ 2.0 (* r r))
91.0ms	(/ 0.125 (* (/ 1 (* w r)) (/ (- 1.0 v) (* w r))))

series398.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (* w r))
128.0ms	(* (/ 1 (* w r)) (/ (- 1.0 v) (* w r)))
58.0ms	(/ 2.0 (* r r))
191.0ms	(/ 0.125 (* (/ 1 (* w r)) (/ (- 1.0 v) (* w r))))

simplify6.1s

Counts

184 → 184

Iterations

Iter	Nodes
done	5023
2	3744
1	741
0	268

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.8s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	24
1	24
0	20

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.2s

17015×

body

valid