Details

sample201.0ms

Algorithm

intervals

Results

58.0ms	438×	body	80	valid
14.0ms	438×	pre	80	true

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	67	11
4	171	11
5	417	11
6	1331	11
7	4477	11
done	5001	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

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)

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

18.0ms	(* m (- 1.0 m))
14.0ms	(/ (* m (- 1.0 m)) v)
86.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series201.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* m (- 1.0 m))
52.0ms	(/ (* m (- 1.0 m)) v)
62.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.1s

Counts

80 → 80

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	126	882
1	338	845
2	1694	755
done	5000	751

prune419.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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)
13.5b	(/ (pow m 2) v)

rewrite610.0ms

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×	`associate-/r` `div-exp` `associate-r*`
2×	`flip3--` `associate-l/` `associate-r/` `flip--`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `distribute-rgt-out--` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `distribute-lft-out--` `sub-div` `difference-of-squares` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

30.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
560.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
15.0ms	(/ (pow m 2) v)

series152.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
49.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
38.0ms	(/ (pow m 2) v)

simplify931.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (332.0ms)

Iter	Nodes	Cost
0	159	1318
1	349	1223
2	1624	1090
done	5001	1090

prune400.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

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

Counts

3 → 96

Calls

3 calls:

13.0ms	(/ (- 1.0 m) v)
57.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
45.0ms	(* m (/ (- 1.0 m) v))

series123.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (- 1.0 m) v)
43.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
42.0ms	(* m (/ (- 1.0 m) v))

simplify1.0s

Counts

105 → 105

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	149	1202
1	397	1145
2	1857	1041
done	5000	1035

prune475.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
41×	`add-sqr-sqrt`
34×	`*-un-lft-identity` `add-exp-log`
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--` `div-inv` `flip--`
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` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 138

Calls

4 calls:

21.0ms	(* m (- 1.0 m))
10.0ms	(/ v (* m (- 1.0 m)))
273.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
40.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series282.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* m (- 1.0 m))
59.0ms	(/ v (* m (- 1.0 m)))
58.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
71.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify1.5s

Counts

150 → 150

Iterations

Useful iterations: 2 (474.0ms)

Iter	Nodes	Cost
0	228	2016
1	575	1828
2	2876	1672
done	5000	1672

prune491.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes119.0ms

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	8	11
1	10	11
done	10	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

934.0ms	13678×	pre	80	true
774.0ms	13678×	body	80	valid