Details

sample158.0ms

Algorithm

intervals

Results

42.0ms	421×	body	80	valid
20.0ms	421×	pre	80	true

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
6	2954
5	1000
4	312
3	99
2	39
1	17
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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)

rewrite180.0ms

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:

30.0ms	(* m (- 1 m))
28.0ms	(- (/ (* m (- 1 m)) v) 1)
98.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
22.0ms	(/ (* m (- 1 m)) v)

series170.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* m (- 1 m))
29.0ms	(- (/ (* m (- 1 m)) v) 1)
39.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
48.0ms	(/ (* m (- 1 m)) v)

simplify5.7s

Counts

119 → 119

Iterations

Iter	Nodes
3	5104
2	1307
1	418
0	160

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite310.0ms

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:

80.0ms	(- (/ m (/ v (- 1 m))) 1)
17.0ms	(/ v (- 1 m))
20.0ms	(/ m (/ v (- 1 m)))
186.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

series191.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ m (/ v (- 1 m))) 1)
44.0ms	(/ v (- 1 m))
65.0ms	(/ m (/ v (- 1 m)))
53.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

simplify5.0s

Counts

236 → 236

Iterations

Iter	Nodes
2	2897
1	851
0	338

prune2.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite245.0ms

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

Counts

4 → 300

Calls

4 calls:

56.0ms	(+ (* 1 (- (/ m (/ v (- 1 m))) 1)) (* (- m) (- (/ m (/ v (- 1 m))) 1)))
19.0ms	(/ m (/ v (- 1 m)))
19.0ms	(/ m (/ v (- 1 m)))
139.0ms	(* (- m) (- (/ m (/ v (- 1 m))) 1))

series198.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (* 1 (- (/ m (/ v (- 1 m))) 1)) (* (- m) (- (/ m (/ v (- 1 m))) 1)))
45.0ms	(/ m (/ v (- 1 m)))
42.0ms	(/ m (/ v (- 1 m)))
53.0ms	(* (- m) (- (/ m (/ v (- 1 m))) 1))

simplify7.4s

Counts

312 → 312

Iterations

Iter	Nodes
2	3881
1	1020
0	353

prune3.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (/ (* m m) (/ v m)) m) (/ (* m m) v))
0.0b	(/ m (/ v (- 1 m)))
2.3b	(/ (* m m) (/ v m))
13.6b	(/ (* m m) v)

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

179×	`times-frac`
126×	`*-un-lft-identity`
125×	`add-sqr-sqrt`
85×	`add-cube-cbrt`
40×	`associate-/r*`
26×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
14×	`distribute-lft-out--`
11×	`cbrt-undiv` `div-exp`
10×	`associate-/r/`
9×	`div-inv` `add-log-exp`
5×	`flip3--` `flip--` `associate-/l*`
4×	`pow1` `insert-posit16`
3×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod`
2×	`diff-log` `frac-sub`
1×	`sum-log` `sub-neg` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out`

Counts

4 → 205

Calls

4 calls:

118.0ms	(- (+ (/ (* m m) (/ v m)) m) (/ (* m m) v))
19.0ms	(/ m (/ v (- 1 m)))
22.0ms	(/ (* m m) (/ v m))
19.0ms	(/ (* m m) v)

series166.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (+ (/ (* m m) (/ v m)) m) (/ (* m m) v))
61.0ms	(/ m (/ v (- 1 m)))
39.0ms	(/ (* m m) (/ v m))
21.0ms	(/ (* m m) v)

simplify1.6s

Counts

217 → 217

Iterations

Iter	Nodes
2	3444
1	1055
0	387

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes78.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
4	27
3	27
2	20
1	16
0	11

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	13650×	body	80	valid
668.0ms	13650×	pre	80	true