Details

sample319.0ms

Algorithm

intervals

Results

9.0ms	387×	body	80	valid
5.0ms	387×	pre	80	true

simplify120.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5
done	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `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 → 85

Calls

4 calls:

20.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
19.0ms	(* m (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)
68.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series157.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
50.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify48.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465
done	5002	465

prune169.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ v (* m (- 1.0 m)))
0.2b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

19.0ms	(* m (- 1.0 m))
12.0ms	(/ v (* m (- 1.0 m)))
184.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
21.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series186.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
40.0ms	(/ v (* m (- 1.0 m)))
49.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
49.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify66.0ms

Counts

150 → 150

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	522	956
1	2623	799
2	5001	785
done	5001	785

prune220.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ 1 (* m (- 1.0 m)))
0.2b	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))

rewrite427.0ms

Algorithm

rewrite-expression-head

Rules

257×	`times-frac`
126×	`add-sqr-sqrt`
113×	`*-un-lft-identity`
108×	`add-cube-cbrt`
102×	`add-exp-log`
62×	`div-exp`
34×	`add-cbrt-cube`
32×	`associate-*r/`
31×	`associate-/r/`
26×	`div-inv`
17×	`rec-exp` `flip3--` `1-exp` `prod-exp` `flip--`
16×	`associate-/l*`
15×	`cbrt-undiv`
11×	`pow1` `associate-l`
10×	`associate-/r*`
8×	`associate-r`
5×	`cbrt-unprod` `difference-of-squares`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`distribute-rgt-in` `sub-neg` `pow-flip` `frac-2neg` `distribute-lft-in` `associate-l/` `clear-num` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`associate-/l/` `inv-pow`

Counts

4 → 266

Calls

4 calls:

19.0ms	(* m (- 1.0 m))
18.0ms	(/ 1 (* m (- 1.0 m)))
346.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) m)
29.0ms	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))

series176.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
31.0ms	(/ 1 (* m (- 1.0 m)))
52.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) m)
45.0ms	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))

simplify48.0ms

Counts

278 → 278

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1184	2463
1	5001	2104
done	5001	2104

prune390.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (* m (- 1.0 m)))
0.2b	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) (sqrt m))
0.3b	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))
0.5b	(* (* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) (sqrt m)) (sqrt m))

rewrite801.0ms

Algorithm

rewrite-expression-head

Rules

257×	`times-frac`
125×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
109×	`add-cube-cbrt`
105×	`add-exp-log`
62×	`div-exp`
37×	`add-cbrt-cube`
31×	`associate-/r/`
30×	`associate-*r/`
26×	`div-inv`
19×	`prod-exp`
17×	`rec-exp` `flip3--` `1-exp` `flip--`
16×	`associate-/l*`
15×	`cbrt-undiv`
14×	`pow1`
12×	`associate-r`
10×	`associate-/r*`
9×	`associate-l`
7×	`sqrt-prod` `cbrt-unprod`
6×	`associate-*l/`
5×	`pow-prod-down`
4×	`add-log-exp` `difference-of-squares`
2×	`pow-flip` `frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`associate-/l/` `distribute-lft-out--` `inv-pow`

Counts

4 → 267

Calls

4 calls:

17.0ms	(/ 1 (* m (- 1.0 m)))
339.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) (sqrt m))
29.0ms	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))
401.0ms	(* (* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) (sqrt m)) (sqrt m))

series215.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1 (* m (- 1.0 m)))
80.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) (sqrt m))
48.0ms	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))
57.0ms	(* (* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) (sqrt m)) (sqrt m))

simplify49.0ms

Counts

279 → 279

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1266	2744
1	5002	2327
done	5002	2327

prune408.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6
done	14	6

end0.0ms

sample748.0ms

Algorithm

intervals

Results

291.0ms	13701×	body	80	valid
160.0ms	13701×	pre	80	true