Details

sample122.0ms

Algorithm

intervals

Results

31.0ms	468×	body	80	valid
14.0ms	468×	pre	80	true

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	203
1	16	203
2	38	203
3	98	203
4	310	203
5	937	203
6	4269	203
done	5001	203

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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) (- 1.0 m))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-cbrt-cube` `add-exp-log`
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×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

3 → 83

Calls

3 calls:

25.0ms	(* m (- 1.0 m))
25.0ms	(/ (* m (- 1.0 m)) v)
100.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series208.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* m (- 1.0 m))
75.0ms	(/ (* m (- 1.0 m)) v)
67.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.9s

Counts

92 → 92

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	147	26232
1	419	21819
2	1569	21619
done	5012	21379

prune432.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

36.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
25.0ms	(/ (* m (- 1.0 m)) v)
24.0ms	(/ (* m (- 1.0 m)) v)
58.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series222.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
56.0ms	(/ (* m (- 1.0 m)) v)
57.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify3.3s

Counts

118 → 118

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	174	38333
1	559	32355
2	2333	30715
done	5009	30315

prune676.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* m (* m m))
8.3b	(/ (* m (* m m)) v)
14.6b	(/ (* m m) v)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-/r*` `times-frac`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
5×	`pow-prod-up`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down` `div-inv` `associate-/l*`
2×	`associate-*r/` `associate-/l/`
1×	`pow2` `pow-plus` `flip3--` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

25.0ms	(/ (* m (- 1.0 m)) v)
26.0ms	(* m (* m m))
40.0ms	(/ (* m (* m m)) v)
15.0ms	(/ (* m m) v)

series170.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (* m (- 1.0 m)) v)
61.0ms	(* m (* m m))
30.0ms	(/ (* m (* m m)) v)
26.0ms	(/ (* m m) v)

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	131	18525
1	371	15405
2	1393	14568
done	5001	14368

prune611.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ m (/ v (- 1.0 m)))
0.1b	(* m (* m m))
8.3b	(/ (* m (* m m)) v)
14.6b	(/ (* m m) v)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

129×	`times-frac`
92×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
67×	`add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
27×	`associate-/r*`
18×	`pow1`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r/`
8×	`cbrt-undiv` `div-exp`
7×	`prod-exp` `cbrt-unprod` `div-inv`
5×	`pow-prod-up` `associate-/l*`
4×	`flip3--` `flip--` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

4 → 170

Calls

4 calls:

15.0ms	(/ m (/ v (- 1.0 m)))
35.0ms	(* m (* m m))
19.0ms	(/ (* m (* m m)) v)
8.0ms	(/ (* m m) v)

series178.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ m (/ v (- 1.0 m)))
66.0ms	(* m (* m m))
40.0ms	(/ (* m (* m m)) v)
29.0ms	(/ (* m m) v)

simplify2.3s

Counts

182 → 182

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	278	52572
1	714	46424
2	2901	44771
done	5136	44451

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	203
1	10	203
done	10	203

end0.0ms

sample1.6s

Algorithm

intervals

Results

839.0ms	13853×	body	80	valid
371.0ms	13853×	pre	80	true