Details

sample95.0ms

Algorithm

intervals

Results

15.0ms	443×	body	80	valid
8.0ms	443×	pre	80	true

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	67	11
4	171	11
5	418	11
6	1361	11
7	4731	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite208.0ms

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:

24.0ms	(* m (- 1.0 m))
31.0ms	(/ (* m (- 1.0 m)) v)
149.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series214.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* m (- 1.0 m))
54.0ms	(/ (* m (- 1.0 m)) v)
79.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.3s

Counts

80 → 80

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	126	882
1	338	845
2	1706	755
done	5000	751

prune234.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite420.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
116×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`associate-l`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 163

Calls

3 calls:

11.0ms	(/ v (- 1.0 m))
20.0ms	(/ m (/ v (- 1.0 m)))
381.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series179.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ v (- 1.0 m))
66.0ms	(/ m (/ v (- 1.0 m)))
47.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify2.0s

Counts

172 → 172

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	271	2534
1	705	2399
2	3724	2269
done	5000	2266

prune618.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite997.0ms

Algorithm

rewrite-expression-head

Rules

737×	`times-frac`
450×	`add-sqr-sqrt`
431×	`*-un-lft-identity`
323×	`add-cube-cbrt`
84×	`associate-/r*`
58×	`difference-of-squares`
53×	`distribute-lft-out--`
38×	`add-exp-log`
23×	`div-inv`
22×	`div-exp` `add-cbrt-cube`
11×	`associate-/l*`
10×	`cbrt-undiv` `associate-l`
7×	`pow1`
6×	`associate-/r/`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`flip3--` `associate-*l/` `flip--` `associate-/l/`
1×	`pow-flip` `div-sub` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 437

Calls

4 calls:

30.0ms	(/ (- 1.0 m) v)
61.0ms	(/ m (/ 1 (/ (- 1.0 m) v)))
841.0ms	(* (- (/ m (/ 1 (/ (- 1.0 m) v))) 1.0) m)
34.0ms	(/ 1 (/ (- 1.0 m) v))

series185.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (- 1.0 m) v)
49.0ms	(/ m (/ 1 (/ (- 1.0 m) v)))
45.0ms	(* (- (/ m (/ 1 (/ (- 1.0 m) v))) 1.0) m)
39.0ms	(/ 1 (/ (- 1.0 m) v))

simplify1.4s

Counts

449 → 449

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	617	8411
1	1781	6907
done	5000	6091

prune854.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
190×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
124×	`add-cube-cbrt`
71×	`associate-r`
38×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
22×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`pow1` `flip3--` `flip--`
8×	`prod-exp`
7×	`cbrt-undiv`
6×	`associate-l` `associate-/l*` `unswap-sqr`
4×	`rec-exp` `1-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`
1×	`pow-flip` `associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 262

Calls

4 calls:

22.0ms	(/ v (- 1.0 m))
38.0ms	(/ 1 (/ v (- 1.0 m)))
97.0ms	(* (- (* m (/ 1 (/ v (- 1.0 m)))) 1.0) m)
81.0ms	(* m (/ 1 (/ v (- 1.0 m))))

series185.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ v (- 1.0 m))
41.0ms	(/ 1 (/ v (- 1.0 m)))
43.0ms	(* (- (* m (/ 1 (/ v (- 1.0 m)))) 1.0) m)
61.0ms	(* m (/ 1 (/ v (- 1.0 m))))

simplify597.0ms

Counts

274 → 274

Iterations

Useful iterations: done (586.0ms)

Iter	Nodes	Cost
0	342	3879
1	969	3267
done	5000	2925

prune771.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes84.0ms

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	11	15
1	15	15
done	15	15

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	13841×	body	80	valid
362.0ms	13841×	pre	80	true