Details

sample523.0ms

Algorithm

intervals

Results

196.0ms

531×

body

valid

simplify911.0ms

Counts

1 → 1

Iterations

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

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))))
0.2b	(/ (/ 2 r) r)
0.3b	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
0.3b	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

151×	`times-frac`
95×	`add-cbrt-cube` `add-exp-log`
77×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
47×	`cbrt-undiv` `div-exp`
26×	`associate-/l*`
22×	`prod-exp` `cbrt-unprod`
20×	`associate-/r*`
13×	`div-inv` `add-log-exp`
9×	`associate-/r/` `difference-of-squares`
8×	`associate-*l/` `distribute-lft-out--`
6×	`flip3--` `flip--`
4×	`pow1` `diff-log` `frac-sub` `insert-posit16`
3×	`clear-num` `frac-2neg`
2×	`sum-log` `div-sub` `frac-add` `distribute-lft-out` `associate-/l/`
1×	`associate--l-` `associate-+r-` `sub-neg` `flip3-+` `associate--l+` `flip-+`

Counts

4 → 219

Calls

4 calls:

184.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))))
16.0ms	(/ (/ 2 r) r)
61.0ms	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
70.0ms	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

series398.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))))
35.0ms	(/ (/ 2 r) r)
103.0ms	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
82.0ms	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

simplify3.2s

Counts

231 → 231

Iterations

Iter	Nodes
2	5189
1	1364
0	491

prune3.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite345.0ms

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×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-*r/` `associate-/l/`
1×	`sqrt-div` `pow-prod-down` `*-commutative`

Counts

4 → 313

Calls

4 calls:

47.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w)
15.0ms	(/ (/ 2 r) r)
101.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
168.0ms	(* (/ (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:

472.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w)
33.0ms	(/ (/ 2 r) r)
330.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
336.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

simplify4.4s

Counts

325 → 325

Iterations

Iter	Nodes
2	7090
1	1697
0	587

prune5.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite408.0ms

Algorithm

rewrite-expression-head

Rules

9655×	`times-frac`
4380×	`add-sqr-sqrt` `*-un-lft-identity`
3462×	`add-cube-cbrt`
709×	`associate-/r*`
612×	`difference-of-squares`
322×	`associate-/l*`
306×	`distribute-lft-out--`
205×	`associate-/r/`
156×	`div-inv`
102×	`flip3--` `flip--`
77×	`add-cbrt-cube` `add-exp-log`
49×	`cbrt-undiv` `div-exp`
7×	`div-sub`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
3×	`associate-/l/`

Counts

4 → 2782

Calls

4 calls:

26.0ms	(/ (/ (/ (- 1 v) (- 3 (* v 2))) 0.125) w)
24.0ms	(/ (/ 2 r) r)
60.0ms	(/ (* w r) (/ (/ (/ (/ (- 1 v) (- 3 (* v 2))) 0.125) w) r))
42.0ms	(/ (/ (/ (/ (- 1 v) (- 3 (* v 2))) 0.125) w) r)

series380.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (/ (/ (- 1 v) (- 3 (* v 2))) 0.125) w)
49.0ms	(/ (/ 2 r) r)
159.0ms	(/ (* w r) (/ (/ (/ (/ (- 1 v) (- 3 (* v 2))) 0.125) w) r))
111.0ms	(/ (/ (/ (/ (- 1 v) (- 3 (* v 2))) 0.125) w) r)

simplify13.8s

Counts

2794 → 2794

Iterations

Iter	Nodes
1	10811
0	4133

prune54.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite242.0ms

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×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-*r/`
1×	`sqrt-div` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 264

Calls

4 calls:

32.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w)
54.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
7.0ms	(/ 2 (* r r))
138.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

series1.6s

Counts

4 → 12

Calls

4 calls:

508.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w)
658.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
47.0ms	(/ 2 (* r r))
410.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

simplify3.8s

Counts

276 → 276

Iterations

Iter	Nodes
2	6536
1	1474
0	496

prune5.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes446.0ms

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

sample5.1s

Algorithm

intervals

Results

4.5s

17135×

body

valid