Details

sample960.0ms

Algorithm

intervals

Results

527.0ms

512×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	2394
3	539
2	141
1	51
0	22

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize87.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- 1.0 v) (* (* w r) (* w r)))
0.4b	(* (* w r) (* w r))
0.8b	(/ 2.0 (* r r))
6.5b	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log` `add-cbrt-cube`
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` `associate-/l/` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `pow-plus` `div-sub` `flip--`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative`

Counts

4 → 162

Calls

4 calls:

102.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
54.0ms	(* (* w r) (* w r))
16.0ms	(/ 2.0 (* r r))
115.0ms	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))

series383.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
65.0ms	(* (* w r) (* w r))
61.0ms	(/ 2.0 (* r r))
156.0ms	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))

simplify3.6s

Counts

174 → 174

Iterations

Iter	Nodes
done	5001
2	3455
1	782
0	255

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

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))
6.5b	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
78×	`add-sqr-sqrt` `*-un-lft-identity`
66×	`add-cube-cbrt`
64×	`add-exp-log` `add-cbrt-cube`
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`
5×	`associate-/l/`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `pow-plus` `div-sub` `flip--`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative`

Counts

4 → 211

Calls

4 calls:

82.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
24.0ms	(/ (/ 2.0 r) r)
60.0ms	(* (* w r) (* w r))
114.0ms	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
49.0ms	(/ (/ 2.0 r) r)
67.0ms	(* (* w r) (* w r))
128.0ms	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))

simplify3.7s

Counts

223 → 223

Iterations

Iter	Nodes
done	5002
2	3744
1	1004
0	351

prune2.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2.0 r) r)
0.4b	(* (* w r) (* w r))
0.6b	(/ 1 (/ (/ (- 1.0 v) (* (* w r) (* w r))) (- 3.0 (* v 2.0))))
6.0b	(/ (/ (- 1.0 v) (* (* w r) (* w r))) (- 3.0 (* v 2.0)))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

389×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
162×	`add-cube-cbrt`
131×	`add-exp-log`
79×	`add-cbrt-cube`
61×	`div-exp`
44×	`pow1`
40×	`prod-exp`
39×	`associate-/r*`
32×	`cbrt-undiv`
27×	`div-inv`
25×	`associate-/l*`
24×	`cbrt-unprod`
17×	`pow-prod-down`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
7×	`rec-exp` `1-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-plus` `div-sub` `associate-/l/`
1×	`pow2` `pow-flip` `swap-sqr` `associate-r` `associate-l` `*-commutative` `inv-pow`

Counts

4 → 353

Calls

4 calls:

21.0ms	(/ (/ 2.0 r) r)
54.0ms	(* (* w r) (* w r))
141.0ms	(/ 1 (/ (/ (- 1.0 v) (* (* w r) (* w r))) (- 3.0 (* v 2.0))))
124.0ms	(/ (/ (- 1.0 v) (* (* w r) (* w r))) (- 3.0 (* v 2.0)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (/ 2.0 r) r)
60.0ms	(* (* w r) (* w r))
130.0ms	(/ 1 (/ (/ (- 1.0 v) (* (* w r) (* w r))) (- 3.0 (* v 2.0))))
145.0ms	(/ (/ (- 1.0 v) (* (* w r) (* w r))) (- 3.0 (* v 2.0)))

simplify2.9s

Counts

365 → 365

Iterations

Iter	Nodes
done	5000
1	1600
0	579

prune3.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

6.5b	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))
6.5b	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))
12.3b	(sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r)))))
12.3b	(sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r)))))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

184×	`times-frac`
110×	`add-sqr-sqrt`
100×	`*-un-lft-identity`
72×	`add-cube-cbrt`
64×	`sqrt-prod`
54×	`add-exp-log` `add-cbrt-cube`
22×	`cbrt-undiv` `div-exp`
18×	`associate-/r*` `div-inv`
16×	`prod-exp` `cbrt-unprod`
14×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `rem-sqrt-square` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `clear-num` `flip--`

Counts

4 → 228

Calls

4 calls:

105.0ms	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))
106.0ms	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))
92.0ms	(sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r)))))
88.0ms	(sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r)))))

series2.1s

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))
138.0ms	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))
1.1s	(sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r)))))
708.0ms	(sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r)))))

simplify3.3s

Counts

240 → 240

Iterations

Iter	Nodes
done	5043
2	3084
1	771
0	272

prune3.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	25
1	25
0	22

end0.0ms

sample4.5s

Algorithm

intervals

Results

3.8s

17270×

body

valid