Details

sample283.0ms

Algorithm

intervals

Results

11.0ms	437×	body	80	valid
7.0ms	437×	pre	80	true

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	99	13
4	269	13
5	659	13
6	1790	13
7	3939	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

11.0ms	(* m (- 1.0 m))
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series140.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* m (- 1.0 m))
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
52.0ms	(/ (* m (- 1.0 m)) v)

simplify655.0ms

Counts

92 → 92

Iterations

Useful iterations: done (652.0ms)

Iter	Nodes	Cost
0	147	1290
1	387	1245
2	1430	1143
done	5001	1141

prune188.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

16.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
6.0ms	(/ (* m (- 1.0 m)) v)
7.0ms	(/ (* m (- 1.0 m)) v)
41.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series158.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
40.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify736.0ms

Counts

109 → 109

Iterations

Useful iterations: done (732.0ms)

Iter	Nodes	Cost
0	172	2105
1	510	1987
2	1945	1645
done	5000	1639

prune247.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
0.1b	(/ (* m (- 1.0 m)) v)
8.9b	(/ (pow m 3) v)
12.5b	(/ (pow m 2) v)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`associate-/l*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`cube-prod`
9×	`associate-/r*` `add-log-exp`
8×	`div-exp` `sqr-pow`
4×	`pow1` `cbrt-undiv` `cube-mult` `unpow3` `associate-*r/` `unpow2`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`pow-to-exp` `flip3--` `diff-log` `pow-exp` `frac-sub` `flip--` `associate-/l/`
1×	`sub-neg` `flip3-+` `prod-exp` `associate--l+` `sum-log` `cbrt-unprod` `flip-+`

Counts

4 → 153

Calls

4 calls:

136.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
7.0ms	(/ (* m (- 1.0 m)) v)
5.0ms	(/ (pow m 3) v)
4.0ms	(/ (pow m 2) v)

series117.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
37.0ms	(/ (* m (- 1.0 m)) v)
21.0ms	(/ (pow m 3) v)
22.0ms	(/ (pow m 2) v)

simplify880.0ms

Counts

165 → 165

Iterations

Useful iterations: 2 (414.0ms)

Iter	Nodes	Cost
0	253	2080
1	574	1851
2	2104	1677
done	5001	1677

prune435.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

47×	`times-frac`
39×	`add-sqr-sqrt`
37×	`add-exp-log`
34×	`*-un-lft-identity`
30×	`add-cube-cbrt`
25×	`add-cbrt-cube`
16×	`div-exp`
13×	`associate-/r*`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-r`
9×	`cbrt-undiv`
8×	`associate-l` `div-inv`
7×	`pow1` `flip3--` `flip--` `associate-/l*`
6×	`prod-exp`
4×	`cbrt-unprod` `add-log-exp`
3×	`distribute-lft-neg-in` `rec-exp` `distribute-rgt-neg-in` `frac-2neg` `1-exp` `clear-num` `difference-of-squares`
2×	`associate-*l/` `associate-/l/` `distribute-lft-out--`
1×	`neg-mul-1` `pow-flip` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `inv-pow` `unswap-sqr`

Counts

4 → 143

Calls

4 calls:

5.0ms	(/ v (* m (- 1.0 m)))
6.0ms	(/ (* m (- 1.0 m)) v)
126.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- m))
11.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series181.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ v (* m (- 1.0 m)))
36.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- m))
50.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify970.0ms

Counts

155 → 155

Iterations

Useful iterations: 2 (209.0ms)

Iter	Nodes	Cost
0	246	2222
1	605	2017
2	1916	1725
done	5000	1725

prune297.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	29
1	25	29
done	25	29

end0.0ms

sample704.0ms

Algorithm

intervals

Results

310.0ms	13730×	body	80	valid
172.0ms	13730×	pre	80	true