Details

sample336.0ms

Algorithm

intervals

Results

10.0ms	423×	body	80	valid
6.0ms	423×	pre	80	true

simplify122.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize33.0ms

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

rewrite130.0ms

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:

21.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
19.0ms	(* m (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)
71.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series160.0ms

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

simplify49.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

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

prune169.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

13.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
15.0ms	(/ (- 1.0 m) v)
48.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
25.0ms	(* m (/ (- 1.0 m) v))

series132.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
34.0ms	(/ (- 1.0 m) v)
36.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
38.0ms	(* m (/ (- 1.0 m) v))

simplify50.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	392	684
1	1724	626
2	5001	614
done	5001	614

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ v (* m (- 1.0 m)))
0.2b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite249.0ms

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:

20.0ms	(* m (- 1.0 m))
11.0ms	(/ v (* m (- 1.0 m)))
189.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
24.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* m (- 1.0 m))
41.0ms	(/ v (* m (- 1.0 m)))
52.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
47.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify67.0ms

Counts

150 → 150

Iterations

Useful iterations: 2 (57.0ms)

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

prune218.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-exp-log`
69×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
51×	`div-exp`
49×	`times-frac`
38×	`add-cbrt-cube`
34×	`add-cube-cbrt`
33×	`prod-exp`
24×	`associate-r`
19×	`associate-l`
17×	`rec-exp` `1-exp`
14×	`cbrt-undiv`
11×	`pow1`
9×	`cbrt-unprod` `distribute-lft-out--`
8×	`difference-of-squares`
7×	`associate-/r/` `unswap-sqr`
6×	`associate-/r` `associate-/l`
5×	`div-inv`
4×	`associate-*l/` `add-log-exp`
3×	`flip3--` `pow-prod-down` `flip--`
2×	`frac-times` `pow-flip` `frac-2neg` `associate-r/` `clear-num` `-commutative`
1×	`inv-pow`

Counts

4 → 179

Calls

4 calls:

10.0ms	(/ v (- 1.0 m))
148.0ms	(* (- (/ 1 (* (/ 1 m) (/ v (- 1.0 m)))) 1.0) m)
38.0ms	(* (/ 1 m) (/ v (- 1.0 m)))
34.0ms	(/ 1 (* (/ 1 m) (/ v (- 1.0 m))))

series147.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ v (- 1.0 m))
40.0ms	(* (- (/ 1 (* (/ 1 m) (/ v (- 1.0 m)))) 1.0) m)
31.0ms	(* (/ 1 m) (/ v (- 1.0 m)))
41.0ms	(/ 1 (* (/ 1 m) (/ v (- 1.0 m))))

simplify85.0ms

Counts

191 → 191

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	757	1236
1	3681	1012
2	5001	1009
done	5001	1009

prune303.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes49.0ms

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	10	5
1	10	5
done	10	5

end0.0ms

sample775.0ms

Algorithm

intervals

Results

301.0ms	13778×	body	80	valid
172.0ms	13778×	pre	80	true