Details

sample214.0ms

Algorithm

intervals

Results

78.0ms

533×

body

valid

simplify605.0ms

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

151×	`times-frac`
97×	`add-cbrt-cube` `add-exp-log`
72×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
58×	`add-cube-cbrt`
47×	`cbrt-undiv` `div-exp`
26×	`associate-/l*`
23×	`prod-exp` `cbrt-unprod`
20×	`associate-/r*`
13×	`div-inv`
10×	`associate-*l/`
9×	`associate-/r/`
8×	`difference-of-squares`
6×	`pow1`
5×	`flip3--` `flip--`
4×	`insert-posit16` `distribute-lft-out--` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l`
2×	`div-sub` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 215

Calls

4 calls:

18.0ms	(/ (/ 2 r) r)
28.0ms	(* (- 3 (* 2 v)) 0.125)
42.0ms	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
62.0ms	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

series389.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (/ 2 r) r)
85.0ms	(* (- 3 (* 2 v)) 0.125)
141.0ms	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
108.0ms	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

simplify2.1s

Counts

227 → 227

Iterations

Iter	Nodes
2	4046
1	1121
0	426

prune1.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (- 0.375 (* 0.25 v))) (* w r))))
0.2b	(/ (/ 2 r) r)
0.3b	(/ (* w r) (/ (/ (- 1 v) (- 0.375 (* 0.25 v))) (* w r)))
0.3b	(/ (/ (- 1 v) (- 0.375 (* 0.25 v))) (* w r))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

247×	`times-frac`
133×	`*-un-lft-identity`
126×	`add-sqr-sqrt`
88×	`add-cube-cbrt`
62×	`add-cbrt-cube` `add-exp-log`
38×	`associate-/l*`
32×	`associate-/r*`
31×	`cbrt-undiv` `div-exp`
25×	`difference-of-squares`
16×	`distribute-lft-out--`
13×	`div-inv` `add-log-exp`
11×	`prod-exp` `cbrt-unprod`
9×	`associate-/r/`
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 → 255

Calls

4 calls:

195.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (- 0.375 (* 0.25 v))) (* w r))))
11.0ms	(/ (/ 2 r) r)
54.0ms	(/ (* w r) (/ (/ (- 1 v) (- 0.375 (* 0.25 v))) (* w r)))
28.0ms	(/ (/ (- 1 v) (- 0.375 (* 0.25 v))) (* w r))

series490.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (- 0.375 (* 0.25 v))) (* w r))))
50.0ms	(/ (/ 2 r) r)
150.0ms	(/ (* w r) (/ (/ (- 1 v) (- 0.375 (* 0.25 v))) (* w r)))
93.0ms	(/ (/ (- 1 v) (- 0.375 (* 0.25 v))) (* w r))

simplify3.6s

Counts

267 → 267

Iterations

Iter	Nodes
2	5255
1	1509
0	545

prune2.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w)
0.2b	(/ (/ 2 r) r)
0.3b	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) r)))
0.6b	(* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) r))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
394×	`add-sqr-sqrt`
330×	`*-un-lft-identity`
256×	`sqrt-prod`
240×	`add-cube-cbrt`
85×	`associate-r` `associate-l`
64×	`add-cbrt-cube` `add-exp-log`
60×	`difference-of-squares`
41×	`associate-/l*`
30×	`distribute-lft-out--`
26×	`cbrt-undiv` `div-exp`
23×	`associate-/r/`
19×	`div-inv`
17×	`prod-exp` `cbrt-unprod`
16×	`unswap-sqr`
10×	`flip3--` `flip--`
7×	`associate-/r*`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-l/` `associate-r/` `associate-/l/`
1×	`sqrt-div` `pow-prod-down` `*-commutative`

Counts

4 → 440

Calls

4 calls:

27.0ms	(/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w)
7.0ms	(/ (/ 2 r) r)
45.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) r)))
116.0ms	(* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) r))

series680.0ms

Counts

4 → 12

Calls

4 calls:

407.0ms	(/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w)
48.0ms	(/ (/ 2 r) r)
127.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) r)))
99.0ms	(* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) r))

simplify1.2s

Counts

452 → 452

Iterations

Iter	Nodes
1	2155
0	761

prune3.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))))
0.2b	(/ (/ 2 r) r)
0.3b	(/ (* w r) (* (* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v))))) (/ 1 r)))
0.5b	(* (* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v))))) (/ 1 r))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

254×	`times-frac`
201×	`add-sqr-sqrt`
172×	`add-exp-log`
161×	`*-un-lft-identity`
125×	`add-cube-cbrt`
110×	`sqrt-prod`
100×	`add-cbrt-cube`
86×	`associate-l`
75×	`prod-exp`
60×	`div-exp`
40×	`associate-r`
39×	`cbrt-unprod`
33×	`cbrt-undiv`
24×	`difference-of-squares`
16×	`associate-/r/`
14×	`associate-/l*`
12×	`div-inv` `distribute-lft-out--` `unswap-sqr`
11×	`frac-times` `pow1` `associate-*l/`
10×	`sqrt-div`
9×	`rec-exp` `1-exp`
7×	`associate-*r/`
4×	`associate-/r*` `flip3--` `pow-prod-down` `insert-posit16` `flip--` `add-log-exp`
2×	`clear-num` `frac-2neg` `un-div-inv` `*-commutative`
1×	`associate-/l/`

Counts

4 → 325

Calls

4 calls:

97.0ms	(* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))))
16.0ms	(/ (/ 2 r) r)
93.0ms	(/ (* w r) (* (* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v))))) (/ 1 r)))
116.0ms	(* (* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v))))) (/ 1 r))

series309.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))))
31.0ms	(/ (/ 2 r) r)
123.0ms	(/ (* w r) (* (* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v))))) (/ 1 r)))
82.0ms	(* (* (/ (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v)))) w) (sqrt (/ (- 1 v) (- 0.375 (* 0.25 v))))) (/ 1 r))

simplify3.2s

Counts

337 → 337

Iterations

Iter	Nodes
2	6212
1	1602
0	627

prune2.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes534.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	32
1	32
0	27

end0.0ms

sample4.9s

Algorithm

intervals

Results

4.4s

16924×

body

valid