Details

sample340.0ms

Algorithm

intervals

Results

252.0ms

536×

body

valid

simplify618.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	2264
3	526
2	142
1	51
0	22

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize82.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1 v) (* (- 3 (* 2 v)) 0.125))
0.2b	(/ (/ 2 r) r)
0.3b	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
0.4b	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

157×	`times-frac`
100×	`add-cbrt-cube` `add-exp-log`
76×	`add-sqr-sqrt` `*-un-lft-identity`
58×	`add-cube-cbrt`
49×	`cbrt-undiv` `div-exp`
32×	`associate-/l*`
23×	`prod-exp` `cbrt-unprod`
21×	`associate-/r*`
14×	`div-inv`
12×	`difference-of-squares`
11×	`associate-/r/`
10×	`associate-*l/`
6×	`flip3--` `flip--` `distribute-lft-out--`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`
3×	`div-sub`

Counts

4 → 223

Calls

4 calls:

16.0ms	(/ (- 1 v) (* (- 3 (* 2 v)) 0.125))
11.0ms	(/ (/ 2 r) r)
58.0ms	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
44.0ms	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

series294.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (- 1 v) (* (- 3 (* 2 v)) 0.125))
29.0ms	(/ (/ 2 r) r)
125.0ms	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
90.0ms	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

simplify1.9s

Counts

235 → 235

Iterations

Iter	Nodes
2	4006
1	1157
0	432

prune3.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)
0.2b	(/ (/ 2 r) r)
0.3b	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
0.3b	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

283×	`times-frac`
184×	`add-sqr-sqrt`
154×	`*-un-lft-identity`
126×	`sqrt-prod`
124×	`add-cube-cbrt`
64×	`add-cbrt-cube` `add-exp-log`
49×	`associate-r` `associate-l`
29×	`associate-/l*`
26×	`cbrt-undiv` `div-exp`
23×	`associate-/r/`
22×	`associate-*l/`
20×	`difference-of-squares`
19×	`div-inv`
17×	`prod-exp` `cbrt-unprod`
10×	`flip3--` `flip--` `distribute-lft-out--`
9×	`unswap-sqr`
7×	`associate-/r*`
6×	`pow1`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-*r/` `associate-/l/`
1×	`sqrt-div` `pow-prod-down` `*-commutative`

Counts

4 → 309

Calls

4 calls:

39.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)
13.0ms	(/ (/ 2 r) r)
86.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
99.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

series1.2s

Counts

4 → 12

Calls

4 calls:

476.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)
48.0ms	(/ (/ 2 r) r)
346.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
335.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

simplify3.9s

Counts

321 → 321

Iterations

Iter	Nodes
2	6917
1	1650
0	590

prune5.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)
0.3b	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
0.3b	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))
0.5b	(/ 2 (* r r))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

211×	`times-frac`
144×	`add-sqr-sqrt`
126×	`sqrt-prod`
114×	`*-un-lft-identity`
84×	`add-cube-cbrt`
64×	`add-cbrt-cube` `add-exp-log`
49×	`associate-r` `associate-l`
25×	`cbrt-undiv` `div-exp`
23×	`associate-/r/`
22×	`associate-*l/`
20×	`difference-of-squares`
19×	`associate-/l*`
18×	`prod-exp` `cbrt-unprod`
15×	`div-inv`
10×	`flip3--` `flip--` `distribute-lft-out--`
9×	`unswap-sqr`
6×	`pow1`
5×	`associate-/r*`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-*r/`
1×	`sqrt-div` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 260

Calls

4 calls:

20.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)
77.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
100.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))
10.0ms	(/ 2 (* r r))

series1.3s

Counts

4 → 12

Calls

4 calls:

509.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)
392.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
378.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))
33.0ms	(/ 2 (* r r))

simplify3.4s

Counts

272 → 272

Iterations

Iter	Nodes
2	6526
1	1453
0	500

prune4.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2 r) r)
0.2b	(/ (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)) (* w r))
0.3b	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))
0.3b	(/ 1 (/ (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)) (* w r)))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

233×	`times-frac`
199×	`add-exp-log`
154×	`add-sqr-sqrt`
124×	`*-un-lft-identity`
115×	`add-cbrt-cube`
106×	`add-cube-cbrt`
101×	`div-exp`
78×	`sqrt-prod`
56×	`prod-exp`
54×	`cbrt-undiv`
49×	`associate-r` `associate-l`
30×	`cbrt-unprod`
19×	`div-inv`
17×	`associate-/l*`
14×	`associate-*l/`
13×	`associate-/r/`
12×	`difference-of-squares`
11×	`rec-exp` `1-exp`
9×	`associate-/r*` `unswap-sqr`
7×	`pow1`
6×	`flip3--` `flip--` `distribute-lft-out--`
4×	`add-log-exp` `associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-*r/`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 313

Calls

4 calls:

13.0ms	(/ (/ 2 r) r)
80.0ms	(/ (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)) (* w r))
73.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))
90.0ms	(/ 1 (/ (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)) (* w r)))

series1.1s

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (/ 2 r) r)
329.0ms	(/ (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)) (* w r))
356.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))
361.0ms	(/ 1 (/ (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)) (* w r)))

simplify4.7s

Counts

325 → 325

Iterations

Iter	Nodes
2	7034
1	1697
0	600

prune6.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes247.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	29
1	29
0	24

end0.0ms

sample4.8s

Algorithm

intervals

Results

4.2s

17161×

body

valid