Details

sample242.0ms

Algorithm

intervals

Results

142.0ms

579×

body

valid

simplify498.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	2274
3	526
2	144
1	53
0	22

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.3b

localize77.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* w r) (* w r))
0.8b	(/ 2 (* r r))
2.7b	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))
7.1b	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-cbrt-cube` `add-exp-log`
84×	`pow1`
71×	`prod-exp` `cbrt-unprod`
48×	`pow-prod-down`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`cbrt-undiv` `div-exp`
9×	`times-frac`
8×	`add-cube-cbrt`
7×	`associate-/r*`
4×	`associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `insert-posit16` `associate-/l*` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`clear-num` `frac-2neg` `pow-plus` `associate-r` `associate-l` `associate-/r/` `*-commutative` `div-inv` `distribute-lft-out--` `associate-/l/`
1×	`pow2` `swap-sqr`

Counts

4 → 150

Calls

4 calls:

28.0ms	(* (* w r) (* w r))
11.0ms	(/ 2 (* r r))
139.0ms	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))
125.0ms	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))

series401.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* w r) (* w r))
50.0ms	(/ 2 (* r r))
159.0ms	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))
142.0ms	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))

simplify1.0s

Counts

162 → 162

Iterations

Iter	Nodes
2	3126
1	697
0	230

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2 (* r r)) (/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
0.1b	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
0.4b	(* (* w r) (* w r))
0.8b	(/ 2 (* r r))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-cbrt-cube` `add-exp-log`
43×	`pow1`
38×	`prod-exp` `cbrt-unprod`
31×	`times-frac`
27×	`cbrt-undiv` `div-exp`
24×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
17×	`pow-prod-down`
13×	`associate-/r*`
10×	`add-cube-cbrt`
8×	`difference-of-squares`
6×	`add-log-exp`
5×	`associate-/r/`
4×	`associate-l/` `pow-sqr` `pow-prod-up` `insert-posit16` `div-inv` `associate-/l`
3×	`flip3--` `flip--` `distribute-lft-out--`
2×	`clear-num` `frac-2neg` `pow-plus`
1×	`pow2` `sub-neg` `diff-log` `swap-sqr` `associate-r` `associate-l` `*-commutative` `frac-sub`

Counts

4 → 143

Calls

4 calls:

44.0ms	(- (/ 2 (* r r)) (/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
45.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
24.0ms	(* (* w r) (* w r))
21.0ms	(/ 2 (* r r))

series428.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(- (/ 2 (* r r)) (/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
153.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
43.0ms	(* (* w r) (* w r))
38.0ms	(/ 2 (* r r))

simplify1.1s

Counts

155 → 155

Iterations

Iter	Nodes
2	3435
1	832
0	266

prune2.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ 2 r) r) (/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
0.1b	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
0.2b	(/ (/ 2 r) r)
0.4b	(* (* w r) (* w r))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
90×	`add-cbrt-cube` `add-exp-log`
74×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
50×	`add-cube-cbrt`
43×	`pow1`
37×	`prod-exp` `cbrt-unprod`
28×	`cbrt-undiv` `div-exp`
17×	`pow-prod-down`
15×	`associate-/r*`
14×	`associate-/l*`
10×	`difference-of-squares`
8×	`div-inv`
6×	`add-log-exp`
5×	`associate-/r/`
4×	`associate-*l/` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`flip3--` `flip--` `distribute-lft-out--`
2×	`clear-num` `frac-2neg` `pow-plus`
1×	`pow2` `sub-neg` `diff-log` `swap-sqr` `associate-r` `associate-l` `*-commutative` `frac-sub` `associate-/l/`

Counts

4 → 194

Calls

4 calls:

48.0ms	(- (/ (/ 2 r) r) (/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
75.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
14.0ms	(/ (/ 2 r) r)
52.0ms	(* (* w r) (* w r))

series359.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(- (/ (/ 2 r) r) (/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
121.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
43.0ms	(/ (/ 2 r) r)
41.0ms	(* (* w r) (* w r))

simplify1.6s

Counts

206 → 206

Iterations

Iter	Nodes
2	3762
1	1029
0	367

prune2.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

225×	`times-frac`
104×	`add-sqr-sqrt` `*-un-lft-identity`
102×	`sqrt-prod`
74×	`add-cube-cbrt`
55×	`add-cbrt-cube` `add-exp-log`
33×	`associate-/r*`
24×	`swap-sqr`
22×	`associate-/r/`
20×	`associate-r` `associate-l`
19×	`cbrt-undiv` `div-exp` `div-inv`
17×	`associate-*l/` `prod-exp` `cbrt-unprod`
16×	`difference-of-squares`
15×	`associate-/l*`
11×	`pow1`
10×	`distribute-lft-out--`
8×	`flip3--` `flip--`
6×	`sqrt-div`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-r/` `pow-sqr` `-commutative` `pow-prod-up` `unswap-sqr` `associate-/l/`

Counts

4 → 265

Calls

4 calls:

27.0ms	(/ (* w r) (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
42.0ms	(/ (* w r) (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
15.0ms	(/ (/ 2 r) r)
136.0ms	(* (/ (* w r) (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))) (/ (* w r) (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

429.0ms	(/ (* w r) (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
413.0ms	(/ (* w r) (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
40.0ms	(/ (/ 2 r) r)
358.0ms	(* (/ (* w r) (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))) (/ (* w r) (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))))

simplify2.3s

Counts

277 → 277

Iterations

Iter	Nodes
2	4329
1	1248
0	429

prune4.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes299.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
2	28
1	28
0	22

end0.0ms

sample5.3s

Algorithm

intervals

Results

4.7s

17276×

body

valid