Details

sample294.0ms

Algorithm

intervals

Results

11.0ms	461×	body	80	valid
7.0ms	461×	pre	80	true

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	99	13
4	269	13
5	661	13
6	1787	13
7	4076	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

10.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
9.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
43.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series160.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
51.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify600.0ms

Counts

109 → 109

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	155	1545
1	398	1497
2	1625	1377
done	5001	1377

prune215.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
14×	`-un-lft-identity` `associate-r/`
12×	`add-cube-cbrt`
10×	`associate-l`
7×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `times-frac` `associate-/r*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `associate-+l+` `associate-+r+` `div-exp` `frac-add` `associate-/l/`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

14.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
6.0ms	(/ (* m (- 1.0 m)) v)
6.0ms	(/ (* m (- 1.0 m)) v)
34.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series158.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
40.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(/ (* m (- 1.0 m)) v)
41.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify738.0ms

Counts

118 → 118

Iterations

Useful iterations: done (735.0ms)

Iter	Nodes	Cost
0	174	2243
1	528	1977
2	2154	1772
done	5000	1766

prune262.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
0.1b	(/ (* m (- 1.0 m)) v)
8.9b	(/ (pow m 3) v)
11.9b	(/ (pow m 2) v)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`associate-/l*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`cube-prod`
9×	`associate-/r*` `add-log-exp`
8×	`div-exp` `sqr-pow`
4×	`pow1` `cbrt-undiv` `cube-mult` `unpow3` `associate-*r/` `unpow2`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`pow-to-exp` `flip3--` `diff-log` `pow-exp` `frac-sub` `flip--` `associate-/l/`
1×	`sub-neg` `flip3-+` `prod-exp` `associate--l+` `sum-log` `cbrt-unprod` `flip-+`

Counts

4 → 153

Calls

4 calls:

127.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
6.0ms	(/ (* m (- 1.0 m)) v)
5.0ms	(/ (pow m 3) v)
4.0ms	(/ (pow m 2) v)

series114.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
37.0ms	(/ (* m (- 1.0 m)) v)
25.0ms	(/ (pow m 3) v)
19.0ms	(/ (pow m 2) v)

simplify1.1s

Counts

165 → 165

Iterations

Useful iterations: 2 (363.0ms)

Iter	Nodes	Cost
0	253	2080
1	574	1851
2	2597	1677
done	5000	1677

prune415.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

11.6b	(sqrt (/ (pow m 2) v))
11.6b	(sqrt (/ (pow m 2) v))
11.9b	(/ (pow m 2) v)
11.9b	(/ (pow m 2) v)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

104×	`times-frac`
82×	`add-sqr-sqrt`
68×	`add-cube-cbrt` `*-un-lft-identity`
56×	`sqrt-prod`
44×	`unpow-prod-down`
16×	`associate-/l*` `unpow2` `sqr-pow`
14×	`add-exp-log`
10×	`rem-sqrt-square`
8×	`add-cbrt-cube`
6×	`pow1` `div-exp` `associate-/r*`
4×	`div-inv` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `pow-exp` `clear-num`

Counts

4 → 184

Calls

4 calls:

8.0ms	(sqrt (/ (pow m 2) v))
5.0ms	(sqrt (/ (pow m 2) v))
4.0ms	(/ (pow m 2) v)
4.0ms	(/ (pow m 2) v)

series132.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sqrt (/ (pow m 2) v))
49.0ms	(sqrt (/ (pow m 2) v))
19.0ms	(/ (pow m 2) v)
20.0ms	(/ (pow m 2) v)

simplify2.4s

Counts

196 → 196

Iterations

Useful iterations: 3 (756.0ms)

Iter	Nodes	Cost
0	167	2226
1	276	2000
2	870	1708
3	4420	1666
done	5000	1666

prune830.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	37
1	27	37
done	27	37

end0.0ms

sample707.0ms

Algorithm

intervals

Results

318.0ms	13714×	body	80	valid
172.0ms	13714×	pre	80	true