Details

sample191.0ms

Algorithm

intervals

Results

54.0ms	387×	body	80	valid
13.0ms	387×	pre	80	true

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	65	11
4	165	11
5	315	11
6	389	11
7	422	11
8	510	11
9	709	11
10	1021	11
11	1550	11
12	3427	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 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)

rewrite227.0ms

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:

39.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
21.0ms	(/ (* m (- 1.0 m)) v)
101.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series288.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
89.0ms	(* m (- 1.0 m))
69.0ms	(/ (* m (- 1.0 m)) v)
88.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify3.8s

Counts

97 → 97

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	138	1137
1	331	1097
2	1008	981
3	4418	951
done	5000	939

prune205.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))))

rewrite307.0ms

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:

25.0ms	(* m (- 1.0 m))
12.0ms	(/ v (* m (- 1.0 m)))
238.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
27.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series291.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* m (- 1.0 m))
52.0ms	(/ v (* m (- 1.0 m)))
77.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
72.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify1.6s

Counts

150 → 150

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	228	2016
1	509	1824
2	1385	1558
done	5001	1512

prune366.0ms

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

rewrite464.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
28×	`div-exp`
27×	`prod-exp` `add-cbrt-cube`
20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
16×	`1-exp`
12×	`add-cube-cbrt`
11×	`pow1`
9×	`associate-l`
8×	`cbrt-undiv` `associate-r`
7×	`rec-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`flip3--` `pow-prod-down` `associate-/r/` `flip--` `div-inv` `distribute-lft-out--`
2×	`distribute-rgt-in` `sub-neg` `pow-flip` `frac-2neg` `distribute-lft-in` `associate-l/` `clear-num` `associate-/r` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`inv-pow`

Counts

4 → 118

Calls

4 calls:

41.0ms	(* m (- 1.0 m))
11.0ms	(/ v (* m (- 1.0 m)))
342.0ms	(* (- (/ 1 (* 1 (/ v (* m (- 1.0 m))))) 1.0) m)
65.0ms	(/ 1 (* 1 (/ v (* m (- 1.0 m)))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* m (- 1.0 m))
59.0ms	(/ v (* m (- 1.0 m)))
66.0ms	(* (- (/ 1 (* 1 (/ v (* m (- 1.0 m))))) 1.0) m)
47.0ms	(/ 1 (* 1 (/ v (* m (- 1.0 m)))))

simplify1.6s

Counts

130 → 130

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	204	1734
1	452	1440
2	1285	1262
done	5000	1150

prune245.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))))

rewrite668.0ms

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:

37.0ms	(* m (- 1.0 m))
19.0ms	(/ 1 (* m (- 1.0 m)))
549.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) m)
47.0ms	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))

series213.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* m (- 1.0 m))
33.0ms	(/ 1 (* m (- 1.0 m)))
57.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) m)
71.0ms	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))

simplify1.9s

Counts

278 → 278

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	422	5122
1	1096	4126
2	2348	3566
done	5001	3482

prune398.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	11	15
1	16	13
done	16	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

403.0ms	13701×	body	80	valid
218.0ms	13701×	pre	80	true