Details

sample189.0ms

Algorithm

intervals

Results

61.0ms

541×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	22	568
1	51	568
2	141	528
3	533	528
4	2349	528
done	5004	528

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (* (* w r) (* w r)))
0.4b	(* (* w r) (* w r))
0.4b	(/ 2.0 (* r r))
6.6b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w r) (* w r))))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-cbrt-cube` `add-exp-log`
43×	`pow1`
39×	`prod-exp` `cbrt-unprod`
29×	`cbrt-undiv` `div-exp`
27×	`times-frac`
20×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`pow-prod-down`
12×	`add-cube-cbrt`
11×	`associate-/r*`
9×	`associate-/l*`
5×	`div-inv`
4×	`pow-sqr` `pow-prod-up` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`pow-plus` `flip3--` `associate-*r/` `flip--`
1×	`pow2` `div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative`

Counts

4 → 145

Calls

4 calls:

40.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
22.0ms	(* (* w r) (* w r))
13.0ms	(/ 2.0 (* r r))
70.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w r) (* w r))))

series299.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
38.0ms	(* (* w r) (* w r))
42.0ms	(/ 2.0 (* r r))
153.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w r) (* w r))))

simplify3.9s

Counts

157 → 157

Iterations

Useful iterations: 2 (1.7s)

Iter	Nodes	Cost
0	237	51786
1	718	42478
2	3249	38110
done	5252	38110

prune891.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 3.0 (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r))) 4.5))
0.1b	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)))
0.4b	(* (* w r) (* w r))
0.4b	(/ 2.0 (* r r))

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-cbrt-cube` `add-exp-log`
61×	`pow1`
53×	`prod-exp` `cbrt-unprod`
30×	`pow-prod-down`
13×	`add-sqr-sqrt`
12×	`cbrt-undiv` `-un-lft-identity` `div-exp` `associate-l*`
9×	`add-log-exp`
8×	`times-frac` `add-cube-cbrt`
4×	`pow-sqr` `pow-prod-up`
3×	`associate-/l*`
2×	`pow-plus` `flip3--` `diff-log` `associate-r` `associate-/r/` `*-commutative` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `swap-sqr` `associate-l/` `associate--r+` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

276.0ms	(- 3.0 (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r))) 4.5))
153.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)))
36.0ms	(* (* w r) (* w r))
12.0ms	(/ 2.0 (* r r))

series369.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(- 3.0 (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r))) 4.5))
90.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)))
42.0ms	(* (* w r) (* w r))
44.0ms	(/ 2.0 (* r r))

simplify3.9s

Counts

140 → 140

Iterations

Useful iterations: 2 (1.5s)

Iter	Nodes	Cost
0	227	52212
1	668	42686
2	2687	38005
done	5002	38005

prune717.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 3.0 (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r))) 4.5))
0.1b	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)))
0.2b	(/ (/ 2.0 r) r)
0.4b	(* (* w r) (* w r))

rewrite410.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-cbrt-cube` `add-exp-log`
80×	`times-frac`
61×	`pow1`
53×	`add-sqr-sqrt`
52×	`*-un-lft-identity` `prod-exp` `cbrt-unprod`
48×	`add-cube-cbrt`
30×	`pow-prod-down`
13×	`cbrt-undiv` `div-exp` `associate-/l*`
12×	`associate-l`
9×	`add-log-exp`
6×	`div-inv`
4×	`pow-sqr` `pow-prod-up`
3×	`associate-/r*`
2×	`pow-plus` `flip3--` `diff-log` `associate-r` `associate-/r/` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `clear-num` `sum-log` `sub-neg` `frac-2neg` `swap-sqr` `associate-*l/` `associate--r+` `unswap-sqr` `associate-/l/`

Counts

4 → 177

Calls

4 calls:

244.0ms	(- 3.0 (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r))) 4.5))
119.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)))
17.0ms	(/ (/ 2.0 r) r)
22.0ms	(* (* w r) (* w r))

series359.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(- 3.0 (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r))) 4.5))
121.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)))
30.0ms	(/ (/ 2.0 r) r)
41.0ms	(* (* w r) (* w r))

simplify3.7s

Counts

189 → 189

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	324	68431
1	861	57811
2	3059	52729
done	5005	52569

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* (* w r) (* w r)))
0.4b	(* (* w r) (* w r))
0.4b	(/ 2.0 (* r r))
0.8b	(/ (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (/ 1 (* (* w r) (* w r))))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

296×	`add-exp-log`
159×	`times-frac`
132×	`add-cbrt-cube`
122×	`div-exp`
121×	`prod-exp`
83×	`pow1`
64×	`add-sqr-sqrt` `*-un-lft-identity`
52×	`cbrt-undiv`
48×	`add-cube-cbrt`
47×	`cbrt-unprod`
34×	`pow-prod-down`
23×	`div-inv`
20×	`rec-exp` `1-exp`
17×	`associate-/r/` `associate-/l*`
16×	`pow-flip`
9×	`associate-/r*`
8×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `distribute-lft-out--` `difference-of-squares`
4×	`pow-plus` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow2`
1×	`swap-sqr` `associate-r` `associate-l` `*-commutative` `inv-pow` `associate-/l/`

Counts

4 → 282

Calls

4 calls:

52.0ms	(/ 1 (* (* w r) (* w r)))
23.0ms	(* (* w r) (* w r))
12.0ms	(/ 2.0 (* r r))
103.0ms	(/ (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (/ 1 (* (* w r) (* w r))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ 1 (* (* w r) (* w r)))
45.0ms	(* (* w r) (* w r))
34.0ms	(/ 2.0 (* r r))
106.0ms	(/ (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (/ 1 (* (* w r) (* w r))))

simplify4.8s

Counts

294 → 294

Iterations

Useful iterations: 2 (2.5s)

Iter	Nodes	Cost
0	410	137511
1	1218	108067
2	4667	96648
done	5000	96648

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes894.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	569
1	30	569
done	30	569

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.7s

17205×

body

valid