Details

sample198.0ms

Algorithm

intervals

Results

32.0ms	463×	body	80	valid
16.0ms	463×	pre	80	true

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
5	1806
4	455
3	122
2	41
1	19
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

15.0ms	(* m (- 1 m))
72.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
30.0ms	(/ (* m (- 1 m)) v)

series164.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* m (- 1 m))
45.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
68.0ms	(/ (* m (- 1 m)) v)

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1597
1	423
0	150

prune399.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

9.0ms	(- m (* m m))
154.0ms	(* (- (/ (- m (* m m)) v) 1) (- 1 m))
11.0ms	(/ (- m (* m m)) v)

series176.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- m (* m m))
48.0ms	(* (- (/ (- m (* m m)) v) 1) (- 1 m))
66.0ms	(/ (- m (* m m)) v)

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1512
1	459
0	174

prune411.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
155×	`add-sqr-sqrt`
137×	`*-un-lft-identity`
81×	`add-cube-cbrt`
40×	`difference-of-squares`
30×	`associate-/r*`
18×	`distribute-lft-out--`
13×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
11×	`flip3--` `associate-/r/` `flip--`
6×	`associate-r` `div-inv` `associate-/l*`
5×	`pow1`
4×	`frac-times` `cbrt-undiv` `div-exp`
3×	`difference-of-sqr-1` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 201

Calls

3 calls:

10.0ms	(/ v (- 1 m))
214.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
14.0ms	(/ m (/ v (- 1 m)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ v (- 1 m))
57.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
38.0ms	(/ m (/ v (- 1 m)))

simplify2.6s

Counts

210 → 210

Iterations

Iter	Nodes
done	5001
2	3257
1	856
0	324

prune817.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite381.0ms

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` `associate-*l/` `div-inv`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
4×	`frac-add` `insert-posit16`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `difference-of-sqr-1` `distribute-rgt-neg-out`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `neg-mul-1` `sum-log` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 288

Calls

4 calls:

172.0ms	(+ (* (- (/ m (/ v (- 1 m))) 1) 1) (* (- (/ m (/ v (- 1 m))) 1) (- m)))
15.0ms	(/ m (/ v (- 1 m)))
10.0ms	(/ m (/ v (- 1 m)))
173.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- m))

series177.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* (- (/ m (/ v (- 1 m))) 1) 1) (* (- (/ m (/ v (- 1 m))) 1) (- m)))
41.0ms	(/ m (/ v (- 1 m)))
40.0ms	(/ m (/ v (- 1 m)))
42.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- m))

simplify3.3s

Counts

300 → 300

Iterations

Iter	Nodes
done	5000
2	3725
1	980
0	345

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13708×	body	80	valid
562.0ms	13708×	pre	80	true