Details

sample188.0ms

Algorithm

intervals

Results

46.0ms	449×	body	80	valid
22.0ms	449×	pre	80	true

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
9	2429
8	1701
7	1274
6	937
5	536
4	217
3	72
2	35
1	19
0	8

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`expm1-def` `associate-/r*` `sub-neg` `cbrt-unprod` `distribute-lft-out--`
2×	`cbrt-undiv` `difference-of-sqr-1` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 151

Calls

4 calls:

36.0ms	(- (/ (* m (- 1 m)) v) 1)
30.0ms	(* m (- 1 m))
15.0ms	(/ (* m (- 1 m)) v)
58.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series194.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ (* m (- 1 m)) v) 1)
66.0ms	(* m (- 1 m))
44.0ms	(/ (* m (- 1 m)) v)
55.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.5s

Counts

163 → 163

Iterations

Iter	Nodes
3	3591
2	1182
1	497
0	227

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* (/ m v) m) m) (* (/ m v) (* m m)))
0.0b	(- (* (/ m v) m) m)
0.2b	(* (/ m v) m)
3.3b	(* (/ m v) (* m m))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`-un-lft-identity` `associate-l*`
23×	`add-cube-cbrt`
21×	`add-cbrt-cube` `add-exp-log`
20×	`times-frac`
11×	`pow1` `add-log-exp`
10×	`prod-diff`
8×	`prod-exp` `cbrt-unprod`
5×	`fma-neg` `associate--l+`
4×	`expm1-log1p-u` `diff-log` `associate-r` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`cbrt-undiv` `sub-neg` `flip3--` `distribute-rgt-out--` `div-exp` `flip--`
2×	`*-commutative` `frac-sub` `div-inv`
1×	`associate--l-`

Counts

4 → 125

Calls

4 calls:

117.0ms	(- (- (* (/ m v) m) m) (* (/ m v) (* m m)))
20.0ms	(- (* (/ m v) m) m)
22.0ms	(* (/ m v) m)
20.0ms	(* (/ m v) (* m m))

series132.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (- (* (/ m v) m) m) (* (/ m v) (* m m)))
30.0ms	(- (* (/ m v) m) m)
31.0ms	(* (/ m v) m)
31.0ms	(* (/ m v) (* m m))

simplify7.7s

Counts

137 → 137

Iterations

Iter	Nodes
3	7118
2	1742
1	474
0	186

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma (/ m v) m (- m)) (* (/ m v) (* m m)))
0.1b	(fma (/ m v) m (- m))
3.3b	(* (/ m v) (* m m))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
13×	`associate-l`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
8×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `prod-diff` `pow-prod-down` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `fma-udef` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l/` `associate--l+` `-commutative` `div-inv` `flip--`

Counts

3 → 71

Calls

3 calls:

6.0ms	(- (fma (/ m v) m (- m)) (* (/ m v) (* m m)))
0.0ms	(fma (/ m v) m (- m))
33.0ms	(* (/ m v) (* m m))

series126.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (fma (/ m v) m (- m)) (* (/ m v) (* m m)))
48.0ms	(fma (/ m v) m (- m))
31.0ms	(* (/ m v) (* m m))

simplify2.3s

Counts

80 → 80

Iterations

Iter	Nodes
3	4187
2	943
1	294
0	119

prune757.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

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

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

684×	`times-frac`
579×	`add-sqr-sqrt`
545×	`*-un-lft-identity`
379×	`add-cube-cbrt`
231×	`prod-diff`
116×	`difference-of-squares`
77×	`fma-neg`
54×	`distribute-lft-out--`
39×	`associate-/r/`
30×	`associate-/r*`
22×	`div-inv`
19×	`flip3--` `add-exp-log` `flip--`
13×	`add-cbrt-cube` `associate-l`
7×	`div-exp`
6×	`pow1` `difference-of-sqr-1` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u`
3×	`expm1-def` `associate-r`
2×	`clear-num` `frac-2neg` `associate-*l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 530

Calls

4 calls:

59.0ms	(- (/ m (/ v (- 1 m))) 1)
10.0ms	(/ v (- 1 m))
11.0ms	(/ m (/ v (- 1 m)))
195.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)

series193.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ m (/ v (- 1 m))) 1)
56.0ms	(/ v (- 1 m))
59.0ms	(/ m (/ v (- 1 m)))
47.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)

simplify1.3s

Counts

542 → 542

Iterations

Iter	Nodes
2	3402
1	1261
0	544

prune5.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	13662×	body	80	valid
967.0ms	13662×	pre	80	true