Details

sample147.0ms

Algorithm

intervals

Results

46.0ms	421×	body	80	valid
24.0ms	421×	pre	80	true

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
6	2000
5	1806
4	455
3	122
2	41
1	19
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
10×	`associate-l` `add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`pow1` `difference-of-squares`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `insert-posit16` `distribute-lft-out--`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `difference-of-sqr-1` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `div-inv` `associate-/l*`

Counts

4 → 107

Calls

4 calls:

15.0ms	(* m (- 1 m))
13.0ms	(- (/ (* m (- 1 m)) v) 1)
69.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
37.0ms	(/ (* m (- 1 m)) v)

series226.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* m (- 1 m))
29.0ms	(- (/ (* m (- 1 m)) v) 1)
52.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
74.0ms	(/ (* m (- 1 m)) v)

simplify1.3s

Counts

119 → 119

Iterations

Iter	Nodes
done	2003
3	2003
2	1650
1	442
0	160

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v (- 1 m))) 1)
0.0b	(/ v (- 1 m))
0.0b	(/ m (/ v (- 1 m)))
0.0b	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
177×	`add-sqr-sqrt`
143×	`*-un-lft-identity`
82×	`add-cube-cbrt`
46×	`difference-of-squares`
30×	`associate-/r*`
19×	`distribute-lft-out--`
13×	`add-cbrt-cube` `associate-l` `add-exp-log`
12×	`flip3--` `flip--`
11×	`associate-/r/`
6×	`pow1` `difference-of-sqr-1` `associate-r` `div-inv` `associate-/l*` `add-log-exp`
4×	`frac-times` `cbrt-undiv` `div-exp` `insert-posit16`
3×	`sub-neg`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 224

Calls

4 calls:

51.0ms	(- (/ m (/ v (- 1 m))) 1)
8.0ms	(/ v (- 1 m))
13.0ms	(/ m (/ v (- 1 m)))
173.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

series170.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (/ m (/ v (- 1 m))) 1)
45.0ms	(/ v (- 1 m))
49.0ms	(/ m (/ v (- 1 m)))
45.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

simplify1.1s

Counts

236 → 236

Iterations

Iter	Nodes
done	2000
2	2000
1	890
0	338

prune2.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (/ m (/ v (- 1 m))) 1) (* (- (/ m (/ v (- 1 m))) 1) (- m)))
0.0b	(/ m (/ v (- 1 m)))
0.0b	(/ m (/ v (- 1 m)))
0.1b	(* (- (/ m (/ v (- 1 m))) 1) (- m))

rewrite422.0ms

Algorithm

rewrite-expression-head

Rules

297×	`times-frac`
233×	`add-sqr-sqrt`
215×	`*-un-lft-identity`
138×	`add-cube-cbrt`
54×	`difference-of-squares`
48×	`associate-/r*`
25×	`distribute-lft-out--`
18×	`associate-/r/`
16×	`add-cbrt-cube` `add-exp-log`
13×	`flip3--` `associate-l` `flip--`
10×	`associate-r` `div-inv`
9×	`add-log-exp`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-/l`
4×	`frac-add` `insert-posit16`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `difference-of-sqr-1` `distribute-rgt-neg-out`
2×	`associate-+l+` `clear-num` `sum-log` `frac-2neg`
1×	`+-commutative` `neg-mul-1` `sub-neg` `flip3-+` `diff-log` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 291

Calls

4 calls:

223.0ms	(+ (- (/ m (/ v (- 1 m))) 1) (* (- (/ m (/ v (- 1 m))) 1) (- m)))
10.0ms	(/ m (/ v (- 1 m)))
10.0ms	(/ m (/ v (- 1 m)))
166.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- m))

series173.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (- (/ m (/ v (- 1 m))) 1) (* (- (/ m (/ v (- 1 m))) 1) (- m)))
47.0ms	(/ m (/ v (- 1 m)))
40.0ms	(/ m (/ v (- 1 m)))
48.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- m))

simplify1.1s

Counts

303 → 303

Iterations

Iter	Nodes
done	2001
2	2001
1	970
0	346

prune3.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
21×	`times-frac`
16×	`add-cube-cbrt`
15×	`difference-of-squares`
10×	`associate-l`
9×	`flip3--` `flip--`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`pow1` `associate-r`
5×	`distribute-rgt-out--` `associate-/l*`
4×	`frac-times` `sub-neg` `difference-of-sqr-1` `insert-posit16`
3×	`associate-/r*` `distribute-lft-out--`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `div-sub` `associate-l/` `associate-r/` `associate-/l/`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

34.0ms	(- (/ (- m (* m m)) v) 1)
4.0ms	(- m (* m m))
111.0ms	(* (- (/ (- m (* m m)) v) 1) (- 1 m))
21.0ms	(/ (- m (* m m)) v)

series173.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (/ (- m (* m m)) v) 1)
49.0ms	(- m (* m m))
45.0ms	(* (- (/ (- m (* m m)) v) 1) (- 1 m))
45.0ms	(/ (- m (* m m)) v)

simplify1.3s

Counts

128 → 128

Iterations

Iter	Nodes
done	2000
3	2000
2	1606
1	488
0	187

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	21
3	21
2	20
1	16
0	10

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.9s	13650×	body	80	valid
555.0ms	13650×	pre	80	true