Details

sample234.0ms

Algorithm

intervals

Results

85.0ms

556×

body

valid

simplify761.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize61.0ms

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

rewrite346.0ms

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:

199.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))))
15.0ms	(/ (/ 2 r) r)
55.0ms	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
66.0ms	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

series439.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))))
29.0ms	(/ (/ 2 r) r)
116.0ms	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
121.0ms	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

simplify3.6s

Counts

231 → 231

Iterations

Iter	Nodes
2	5189
1	1364
0	491

prune3.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

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))

rewrite245.0ms

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:

38.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w)
7.0ms	(/ (/ 2 r) r)
72.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
113.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

series1.1s

Counts

4 → 12

Calls

4 calls:

465.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w)
29.0ms	(/ (/ 2 r) r)
307.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
295.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

simplify3.8s

Counts

325 → 325

Iterations

Iter	Nodes
2	7090
1	1697
0	587

prune5.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite386.0ms

Algorithm

rewrite-expression-head

Rules

166×	`times-frac`
159×	`add-exp-log`
120×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
95×	`add-cbrt-cube`
81×	`add-cube-cbrt`
69×	`prod-exp`
55×	`div-exp`
51×	`sqrt-prod`
50×	`associate-r`
37×	`cbrt-unprod`
31×	`cbrt-undiv`
28×	`associate-l`
15×	`associate-*l/` `associate-/r/`
14×	`associate-/l*`
12×	`div-inv`
11×	`frac-times` `pow1` `associate-*r/`
9×	`unswap-sqr`
8×	`rec-exp` `sqrt-div` `1-exp` `difference-of-squares`
4×	`associate-/r*` `flip3--` `pow-prod-down` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`associate-/l/`

Counts

4 → 268

Calls

4 calls:

160.0ms	(* (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) (* (/ 1 w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
14.0ms	(/ (/ 2 r) r)
139.0ms	(/ (* w r) (* (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) (* (/ 1 w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))))
61.0ms	(* (/ 1 w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

series1.0s

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) (* (/ 1 w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
40.0ms	(/ (/ 2 r) r)
370.0ms	(/ (* w r) (* (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) (* (/ 1 w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))))
282.0ms	(* (/ 1 w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

simplify3.6s

Counts

280 → 280

Iterations

Iter	Nodes
2	6412
1	1590
0	539

prune5.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3))))) (/ (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3)))) w))
0.2b	(/ (/ 2 r) r)
0.2b	(/ (* (- (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3))))) (/ (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3)))) w)) r)
0.3b	(/ (- (* w r)) (/ (* (- (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3))))) (/ (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3)))) w)) r))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
125×	`add-sqr-sqrt`
117×	`*-un-lft-identity`
102×	`add-cube-cbrt`
61×	`sqrt-prod`
49×	`associate-r`
37×	`add-cbrt-cube` `add-exp-log`
34×	`associate-l`
23×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
20×	`div-inv` `associate-/l*`
16×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`difference-of-squares`
9×	`neg-mul-1`
6×	`pow1` `prod-exp` `cbrt-unprod`
5×	`flip3-+` `flip-+` `distribute-lft-out--`
4×	`sqrt-div` `insert-posit16` `distribute-neg-frac` `add-log-exp` `associate-/l/`
3×	`clear-num` `frac-2neg` `unswap-sqr`
2×	`distribute-lft-neg-out` `frac-times` `associate-*l/` `distribute-frac-neg`
1×	`neg-sub0` `div-sub` `pow-prod-down` `*-commutative`

Counts

4 → 280

Calls

4 calls:

131.0ms	(* (- (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3))))) (/ (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3)))) w))
7.0ms	(/ (/ 2 r) r)
67.0ms	(/ (* (- (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3))))) (/ (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3)))) w)) r)
78.0ms	(/ (- (* w r)) (/ (* (- (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3))))) (/ (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3)))) w)) r))

series948.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (- (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3))))) (/ (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3)))) w))
49.0ms	(/ (/ 2 r) r)
329.0ms	(/ (* (- (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3))))) (/ (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3)))) w)) r)
325.0ms	(/ (- (* w r)) (/ (* (- (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3))))) (/ (sqrt (/ (- 1 v) (* 0.125 (+ (* -2 v) 3)))) w)) r))

simplify3.3s

Counts

292 → 292

Iterations

Iter	Nodes
2	5488
1	1684
0	586

prune5.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes558.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	31
1	31
0	25

end0.0ms

sample4.7s

Algorithm

intervals

Results

4.2s

16769×

body

valid