Details

sample356.0ms

Algorithm

intervals

Results

134.0ms

539×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (* (* w r) (* w r)))
0.3b	(* (* w r) (* w r))
0.4b	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))
0.6b	(/ 2.0 (* r r))

rewrite139.0ms

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:

39.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
31.0ms	(* (* w r) (* w r))
54.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))
9.0ms	(/ 2.0 (* r r))

series252.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
54.0ms	(* (* w r) (* w r))
60.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))
40.0ms	(/ 2.0 (* r r))

simplify2.0s

Counts

171 → 171

Iterations

Iter	Nodes
done	5008
2	3039
1	699
0	246

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

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` `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 → 173

Calls

4 calls:

17.0ms	(/ (- 1.0 v) (* r w))
44.0ms	(* (* r w) (/ 0.125 (/ (- 1.0 v) (* r w))))
20.0ms	(/ 2.0 (* r r))
28.0ms	(/ 0.125 (/ (- 1.0 v) (* r w)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (- 1.0 v) (* r w))
92.0ms	(* (* r w) (/ 0.125 (/ (- 1.0 v) (* r w))))
50.0ms	(/ 2.0 (* r r))
68.0ms	(/ 0.125 (/ (- 1.0 v) (* r w)))

simplify2.8s

Counts

185 → 185

Iterations

Iter	Nodes
done	5030
2	3995
1	924
0	287

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

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` `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 → 222

Calls

4 calls:

16.0ms	(/ (- 1.0 v) (* r w))
9.0ms	(/ (/ 2.0 r) r)
75.0ms	(* (* r w) (/ 0.125 (/ (- 1.0 v) (* r w))))
25.0ms	(/ 0.125 (/ (- 1.0 v) (* r w)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (- 1.0 v) (* r w))
37.0ms	(/ (/ 2.0 r) r)
83.0ms	(* (* r w) (/ 0.125 (/ (- 1.0 v) (* r w))))
62.0ms	(/ 0.125 (/ (- 1.0 v) (* r w)))

simplify2.6s

Counts

234 → 234

Iterations

Iter	Nodes
done	5002
2	4248
1	1114
0	383

prune2.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt 0.125) (- 1.0 v))
0.3b	(* (* r w) (* r w))
0.3b	(* (* (* r w) (* r w)) (sqrt 0.125))
0.6b	(/ 2.0 (* r r))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
43×	`add-sqr-sqrt`
41×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
33×	`times-frac`
30×	`pow-prod-down`
27×	`add-cube-cbrt`
22×	`prod-exp` `sqrt-prod` `cbrt-unprod`
9×	`associate-/l*`
7×	`associate-r` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r*`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`clear-num` `frac-2neg` `pow-plus` `associate-l` `associate-/r/` `*-commutative` `div-inv` `unswap-sqr`
1×	`pow2` `flip3--` `swap-sqr` `flip--`

Counts

4 → 150

Calls

4 calls:

20.0ms	(/ (sqrt 0.125) (- 1.0 v))
43.0ms	(* (* r w) (* r w))
89.0ms	(* (* (* r w) (* r w)) (sqrt 0.125))
10.0ms	(/ 2.0 (* r r))

series314.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (sqrt 0.125) (- 1.0 v))
58.0ms	(* (* r w) (* r w))
113.0ms	(* (* (* r w) (* r w)) (sqrt 0.125))
51.0ms	(/ 2.0 (* r r))

simplify1.9s

Counts

162 → 162

Iterations

Iter	Nodes
done	5002
2	1905
1	511
0	214

prune920.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes939.0ms

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	28
1	28
0	23

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.6s

17108×

body

valid