Details

sample277.0ms

Algorithm

intervals

Results

157.0ms

578×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize31.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.8b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
5.1b	(* (* (* w w) r) r)
10.6b	(* (* w w) r)

rewrite722.0ms

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:

275.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
311.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
73.0ms	(* (* (* w w) r) r)
48.0ms	(* (* w w) r)

series341.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
106.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
60.0ms	(* (* (* w w) r) r)
47.0ms	(* (* w w) r)

simplify1.7s

Counts

131 → 131

Iterations

Useful iterations: done (1.7s)

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

prune505.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.6b	(/ 2.0 (* r r))
1.9b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
4.8b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite237.0ms

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:

14.0ms	(* (fabs (* w r)) (fabs (* w r)))
17.0ms	(/ 2.0 (* r r))
86.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
113.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series230.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (fabs (* w r)) (fabs (* w r)))
45.0ms	(/ 2.0 (* r r))
57.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
112.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.3s

Counts

117 → 117

Iterations

Useful iterations: done (1.3s)

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

prune555.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.4b	(pow (fabs (* w r)) 2)
0.6b	(/ 2.0 (* r r))
6.5b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

167×	`times-frac`
117×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
53×	`associate-/r*`
51×	`unpow-prod-down`
39×	`add-exp-log`
25×	`distribute-lft-out--` `difference-of-squares`
23×	`add-cbrt-cube`
19×	`div-exp`
17×	`unpow2` `sqr-pow`
9×	`cbrt-undiv` `associate-/l*`
5×	`pow1` `prod-exp` `div-inv`
4×	`pow-to-exp` `pow-exp` `associate-/l/` `add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--`
1×	`pow-pow` `div-sub` `associate-/r/`

Counts

4 → 223

Calls

4 calls:

25.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
5.0ms	(pow (fabs (* w r)) 2)
17.0ms	(/ 2.0 (* r r))
53.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
16.0ms	(pow (fabs (* w r)) 2)
35.0ms	(/ 2.0 (* r r))
80.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify1.7s

Counts

235 → 235

Iterations

Useful iterations: 2 (744.0ms)

Iter	Nodes	Cost
0	341	4818
1	900	4404
2	2826	3960
done	5000	3960

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (fabs (* w r)))
0.3b	(* (/ 1 (fabs (* w r))) (/ (- 1.0 v) (fabs (* w r))))
0.6b	(/ 2.0 (* r r))
6.5b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (* (/ 1 (fabs (* w r))) (/ (- 1.0 v) (fabs (* w r)))))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-exp-log`
64×	`add-cbrt-cube`
53×	`add-sqr-sqrt`
46×	`div-exp`
44×	`times-frac`
38×	`*-un-lft-identity`
34×	`prod-exp`
30×	`add-cube-cbrt`
25×	`cbrt-undiv`
19×	`associate-r`
18×	`cbrt-unprod`
13×	`associate-l`
7×	`pow1` `rec-exp` `1-exp` `associate-/l*`
6×	`unswap-sqr`
5×	`associate-/r*` `div-inv`
4×	`associate-*r/` `add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/r/` `distribute-lft-out--` `difference-of-squares`
2×	`frac-times` `associate-*l/` `associate-/l/`
1×	`flip3--` `pow-flip` `pow-prod-down` `*-commutative` `flip--` `inv-pow`

Counts

4 → 160

Calls

4 calls:

6.0ms	(/ 1 (fabs (* w r)))
59.0ms	(* (/ 1 (fabs (* w r))) (/ (- 1.0 v) (fabs (* w r))))
16.0ms	(/ 2.0 (* r r))
73.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (* (/ 1 (fabs (* w r))) (/ (- 1.0 v) (fabs (* w r)))))

series223.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (fabs (* w r)))
55.0ms	(* (/ 1 (fabs (* w r))) (/ (- 1.0 v) (fabs (* w r))))
44.0ms	(/ 2.0 (* r r))
109.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (* (/ 1 (fabs (* w r))) (/ (- 1.0 v) (fabs (* w r)))))

simplify2.1s

Counts

172 → 172

Iterations

Useful iterations: 2 (823.0ms)

Iter	Nodes	Cost
0	268	3623
1	727	3230
2	2900	2313
done	5000	2313

prune681.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes752.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	30
1	31	30
done	31	30

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.3s

17037×

body

valid