Details

sample87.0ms

Algorithm

intervals

Results

15.0ms	448×	body	80	valid
8.0ms	448×	pre	80	true

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite173.0ms

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:

32.0ms	(* m (- 1.0 m))
17.0ms	(/ (* m (- 1.0 m)) v)
118.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series170.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* m (- 1.0 m))
57.0ms	(/ (* m (- 1.0 m)) v)
49.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.4s

Counts

80 → 80

Iterations

Useful iterations: done (1.4s)

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

prune246.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite320.0ms

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:

42.0ms	(* v (+ 1.0 m))
55.0ms	(* m (- (* 1.0 1.0) (* m m)))
33.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
183.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

series357.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* v (+ 1.0 m))
105.0ms	(* m (- (* 1.0 1.0) (* m m)))
113.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
92.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

simplify2.4s

Counts

107 → 107

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	164	1752
1	547	1677
2	3689	1417
done	5001	1405

prune360.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

16.0ms	(/ (- 1.0 m) v)
81.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
52.0ms	(* m (/ (- 1.0 m) v))

series179.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- 1.0 m) v)
67.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
50.0ms	(* m (/ (- 1.0 m) v))

simplify1.4s

Counts

105 → 105

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	149	1202
1	397	1145
2	1862	1041
done	5000	1035

prune278.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.1b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
14.3b	(/ (pow m 2) v)

rewrite593.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

24.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
553.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
9.0ms	(/ (pow m 2) v)

series119.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
44.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
31.0ms	(/ (pow m 2) v)

simplify1.2s

Counts

95 → 95

Iterations

Useful iterations: 2 (394.0ms)

Iter	Nodes	Cost
0	159	1318
1	349	1223
2	1614	1090
done	5001	1090

prune301.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes94.0ms

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: 0 (0.0ms)

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

end0.0ms

sample2.1s

Algorithm

intervals

Results

844.0ms	13697×	body	80	valid
726.0ms	13697×	pre	80	true