Details

sample277.0ms

Algorithm

intervals

Results

11.0ms	447×	body	80	valid
6.0ms	447×	pre	80	true

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	62	11
4	140	11
5	222	11
6	295	11
7	363	11
8	547	11
9	931	11
10	1174	11
11	1802	11
12	4633	11
done	5001	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

9.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
42.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series131.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
47.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify567.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	126	882
1	309	845
2	1205	747
done	5001	747

prune155.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.2b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
13.9b	(/ (pow m 2) v)

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
12×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*`
7×	`add-cbrt-cube`
5×	`pow1` `associate-l` `unpow2` `add-log-exp`
4×	`sqr-pow`
3×	`div-exp` `associate-r` `associate-/r*`
2×	`flip3--` `associate-r/` `associate-l/` `flip--`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `distribute-lft-out--` `sub-div` `difference-of-squares` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

9.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
226.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
4.0ms	(/ (pow m 2) v)

series88.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
35.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
18.0ms	(/ (pow m 2) v)

simplify610.0ms

Counts

95 → 95

Iterations

Useful iterations: done (607.0ms)

Iter	Nodes	Cost
0	159	1318
1	329	1223
2	1151	1088
done	5000	1084

prune207.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (* (pow m 2) (/ 1 v)))
0.2b	(* (- (- (* 1.0 (/ m v)) (* (pow m 2) (/ 1 v))) 1.0) m)
13.9b	(* (pow m 2) (/ 1 v))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
28×	`add-exp-log`
20×	`*-un-lft-identity`
17×	`times-frac`
16×	`associate-r`
14×	`add-cube-cbrt`
13×	`associate-l` `prod-exp` `unswap-sqr`
10×	`add-cbrt-cube`
7×	`associate-*r/`
6×	`unpow-prod-down` `div-exp`
5×	`pow1` `add-log-exp`
4×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`
3×	`rec-exp` `1-exp` `un-div-inv` `cbrt-unprod`
2×	`flip3--` `associate-l/` `-commutative` `frac-sub` `flip--` `sub-div`
1×	`cbrt-undiv` `sub-neg` `diff-log` `pow-prod-down` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 95

Calls

3 calls:

5.0ms	(- (* 1.0 (/ m v)) (* (pow m 2) (/ 1 v)))
84.0ms	(* (- (- (* 1.0 (/ m v)) (* (pow m 2) (/ 1 v))) 1.0) m)
11.0ms	(* (pow m 2) (/ 1 v))

series91.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* 1.0 (/ m v)) (* (pow m 2) (/ 1 v)))
36.0ms	(* (- (- (* 1.0 (/ m v)) (* (pow m 2) (/ 1 v))) 1.0) m)
19.0ms	(* (pow m 2) (/ 1 v))

simplify722.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (215.0ms)

Iter	Nodes	Cost
0	173	1555
1	444	1271
2	1494	1092
done	5001	1092

prune208.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l`
5×	`associate-/l*`
3×	`prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-*r/` `clear-num`

Counts

3 → 96

Calls

3 calls:

7.0ms	(/ (- 1.0 m) v)
22.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
15.0ms	(* m (/ (- 1.0 m) v))

series110.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- 1.0 m) v)
35.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
39.0ms	(* m (/ (- 1.0 m) v))

simplify595.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	149	1202
1	366	1137
2	1306	1033
done	5000	1033

prune181.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	18	17
done	18	17

end0.0ms

sample726.0ms

Algorithm

intervals

Results

330.0ms	13788×	body	80	valid
172.0ms	13788×	pre	80	true