Details

sample255.0ms

Algorithm

intervals

Results

158.0ms

561×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
4	2001
3	526
2	144
1	53
0	22

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize75.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* w r) (* w r))
1.0b	(/ 2 (* r r))
5.0b	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))
5.1b	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))

rewrite308.0ms

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:

21.0ms	(* (* w r) (* w r))
6.0ms	(/ 2 (* r r))
157.0ms	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))
116.0ms	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))

series394.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (* w r) (* w r))
39.0ms	(/ 2 (* r r))
157.0ms	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))
141.0ms	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))

simplify1.2s

Counts

162 → 162

Iterations

Iter	Nodes
done	2001
2	2001
1	708
0	230

prune862.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (/ 2 (* r r)) (- 3 4.5)) (/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
0.2b	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
0.4b	(* (* w r) (* w r))
1.0b	(/ 2 (* r r))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 150

Calls

4 calls:

207.0ms	(- (+ (/ 2 (* r r)) (- 3 4.5)) (/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
51.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
26.0ms	(* (* w r) (* w r))
15.0ms	(/ 2 (* r r))

series374.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(- (+ (/ 2 (* r r)) (- 3 4.5)) (/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
120.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
31.0ms	(* (* w r) (* w r))
31.0ms	(/ 2 (* r r))

simplify1.3s

Counts

162 → 162

Iterations

Iter	Nodes
done	2000
2	2000
1	1038
0	319

prune962.0ms

Pruning

11 alts after pruning (11 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) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
0.2b	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
0.2b	(/ (/ 2 r) r)
0.4b	(* (* w r) (* w r))

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

100×	`times-frac`
90×	`add-cbrt-cube` `add-exp-log`
65×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
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*`
13×	`add-log-exp`
8×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r/`
4×	`flip3--` `diff-log` `associate-*l/` `pow-sqr` `pow-prod-up` `frac-sub` `insert-posit16` `flip--`
2×	`clear-num` `sum-log` `frac-2neg` `pow-plus` `frac-add` `distribute-lft-out`
1×	`associate--l-` `pow2` `associate-+r-` `sub-neg` `flip3-+` `swap-sqr` `associate-r` `associate-l` `associate--l+` `*-commutative` `flip-+` `associate-/l/`

Counts

4 → 199

Calls

4 calls:

246.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
80.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
15.0ms	(/ (/ 2 r) r)
45.0ms	(* (* w r) (* w r))

series419.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))))
126.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
35.0ms	(/ (/ 2 r) r)
51.0ms	(* (* w r) (* w r))

simplify1.3s

Counts

211 → 211

Iterations

Iter	Nodes
done	2004
2	2004
1	1236
0	416

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

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

rewrite289.0ms

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:

189.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))))
27.0ms	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
13.0ms	(/ (/ 2 r) r)
52.0ms	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

series485.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))))
116.0ms	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
52.0ms	(/ (/ 2 r) r)
114.0ms	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

simplify1.8s

Counts

231 → 231

Iterations

Iter	Nodes
done	2002
2	2002
1	1411
0	491

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes288.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	30
1	30
0	23

end0.0ms

sample5.0s

Algorithm

intervals

Results

4.4s

16984×

body

valid