Details

sample123.0ms

Algorithm

intervals

Results

23.0ms	426×	body	80	valid
12.0ms	426×	pre	80	true

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize14.0ms

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

rewrite236.0ms

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:

40.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
43.0ms	(* m (- 1.0 m))
34.0ms	(/ (* m (- 1.0 m)) v)
110.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series226.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
77.0ms	(* m (- 1.0 m))
62.0ms	(/ (* m (- 1.0 m)) v)
61.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify3.5s

Counts

97 → 97

Iterations

Useful iterations: done (3.5s)

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

prune291.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

25.0ms	(* v (+ 1.0 m))
59.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
42.0ms	(* m (- (* 1.0 1.0) (* m m)))
189.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

series366.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* v (+ 1.0 m))
89.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
117.0ms	(* m (- (* 1.0 1.0) (* m m)))
111.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

simplify1.5s

Counts

107 → 107

Iterations

Useful iterations: 2 (461.0ms)

Iter	Nodes	Cost
0	164	1752
1	472	1667
2	2086	1391
done	5000	1391

prune317.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.1b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
12.6b	(/ (pow m 2) v)

rewrite779.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
25×	`times-frac`
23×	`add-cube-cbrt`
12×	`unpow-prod-down`
11×	`add-exp-log` `add-log-exp`
8×	`add-cbrt-cube` `associate-/l*`
6×	`pow1`
5×	`associate-l` `unpow2`
4×	`diff-log` `sqr-pow`
3×	`sub-neg` `flip3--` `div-exp` `associate-r` `associate-/r*` `flip--`
2×	`associate-r/` `associate-l/` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `associate--l-` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `sub-div` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

211.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
30.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
517.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
14.0ms	(/ (pow m 2) v)

series217.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
69.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
64.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
37.0ms	(/ (pow m 2) v)

simplify3.6s

Counts

116 → 116

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	174	1696
1	354	1596
2	1034	1435
3	4701	1421
done	5000	1421

prune321.0ms

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

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

32.0ms	(/ (- 1.0 m) v)
29.0ms	(- (* (/ (- 1.0 m) v) m) 1.0)
68.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) m)
31.0ms	(* (/ (- 1.0 m) v) m)

series178.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (- 1.0 m) v)
47.0ms	(- (* (/ (- 1.0 m) v) m) 1.0)
52.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) m)
43.0ms	(* (/ (- 1.0 m) v) m)

simplify3.1s

Counts

120 → 120

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	160	1408
1	391	1362
2	1077	1238
3	3610	1208
done	5000	1208

prune302.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

775.0ms	13899×	body	80	valid
424.0ms	13899×	pre	80	true