Details

sample388.0ms

Algorithm

intervals

Results

56.0ms

564×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	29
1	51	29
2	152	29
3	633	29
4	2846	29
done	5002	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize26.0ms

Local error

Found 4 expressions with local error:

4.8b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.2b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.3b	(* (* (* w w) r) r)
10.7b	(* (* w w) r)

rewrite468.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
57×	`prod-exp` `cbrt-unprod`
50×	`pow1`
33×	`pow-prod-down`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`cbrt-undiv` `div-exp`
8×	`add-cube-cbrt`
7×	`associate-r`
5×	`times-frac` `associate-/r*`
4×	`associate-r/` `associate-l/` `add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
2×	`associate-/r/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

186.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
193.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
60.0ms	(* (* (* w w) r) r)
20.0ms	(* (* w w) r)

series224.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
74.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
36.0ms	(* (* (* w w) r) r)
27.0ms	(* (* w w) r)

simplify1.2s

Counts

131 → 131

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	203	2751
1	593	2663
2	2974	1923
done	5001	1915

prune287.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.5b	(/ 2.0 (* r r))
4.8b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.2b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
18×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`pow-prod-down`
8×	`times-frac`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
4×	`associate-r/` `associate-r` `associate-l` `associate-l/` `associate-/l*` `add-log-exp`
3×	`flip3--` `swap-sqr` `flip--`
2×	`frac-2neg` `clear-num` `associate-/r/` `*-commutative` `div-inv` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

7.0ms	(* (fabs (* w r)) (fabs (* w r)))
8.0ms	(/ 2.0 (* r r))
41.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
52.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series147.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (fabs (* w r)) (fabs (* w r)))
25.0ms	(/ 2.0 (* r r))
42.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
69.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify824.0ms

Counts

117 → 117

Iterations

Useful iterations: done (821.0ms)

Iter	Nodes	Cost
0	198	2324
1	517	1954
2	2121	1521
done	5000	1515

prune357.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

4.9b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
4.9b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
13.2b	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
13.2b	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

416×	`times-frac`
218×	`add-sqr-sqrt`
216×	`*-un-lft-identity`
120×	`add-cube-cbrt`
98×	`sqrt-prod`
90×	`unpow-prod-down`
88×	`associate-/r*`
52×	`add-exp-log`
48×	`distribute-lft-out--` `difference-of-squares`
30×	`unpow2` `sqr-pow`
28×	`div-exp` `add-cbrt-cube`
12×	`cbrt-undiv`
10×	`div-inv`
8×	`prod-exp`
6×	`pow1`
4×	`pow-to-exp` `associate-*r/` `pow-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `clear-num` `flip--` `associate-/l*`

Counts

4 → 348

Calls

4 calls:

34.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
35.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
25.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
25.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series653.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
69.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
260.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
256.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify1.1s

Counts

360 → 360

Iterations

Useful iterations: 2 (491.0ms)

Iter	Nodes	Cost
0	389	10156
1	976	9380
2	2998	8574
done	5001	8574

prune1.5s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

4.9b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
4.9b	(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
13.1b	(sqrt (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
13.2b	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

761×	`times-frac`
459×	`add-sqr-sqrt`
445×	`*-un-lft-identity`
285×	`add-cube-cbrt`
186×	`sqrt-prod`
151×	`unpow-prod-down`
88×	`associate-/r*`
80×	`distribute-lft-out--` `difference-of-squares`
51×	`unpow2` `sqr-pow`
38×	`add-exp-log`
21×	`div-exp` `add-cbrt-cube`
14×	`div-inv`
9×	`cbrt-undiv`
7×	`rem-sqrt-square`
6×	`pow1`
4×	`prod-exp` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`pow-to-exp` `pow-exp`
2×	`flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `associate-*r/` `clear-num` `flip--` `cbrt-unprod`
1×	`div-sub`

Counts

4 → 526

Calls

4 calls:

32.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
33.0ms	(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
38.0ms	(sqrt (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
25.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series572.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
67.0ms	(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
185.0ms	(sqrt (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
252.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify779.0ms

Counts

538 → 538

Iterations

Useful iterations: done (754.0ms)

Iter	Nodes	Cost
0	806	17145
1	1804	15908
done	5001	14717

prune2.5s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes311.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	49
1	29	49
done	29	49

end0.0ms

sample1.4s

Algorithm

intervals

Results

847.0ms

16988×

body

valid