Details

sample173.0ms

Algorithm

intervals

Results

35.0ms	435×	body	80	valid
17.0ms	435×	pre	80	true

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
9	2094
8	1567
7	1080
6	774
5	467
4	202
3	67
2	33
1	17
0	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1 m)) v) 1)
0.0b	(* m (- 1 m))
0.1b	(/ (* m (- 1 m)) v)
0.2b	(* (- (/ (* m (- 1 m)) v) 1) m)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l` `add-cube-cbrt`
9×	`associate-r`
8×	`pow1`
6×	`add-log-exp` `difference-of-squares`
4×	`flip3--` `associate-*r/` `insert-posit16` `flip--`
3×	`associate-/r*` `sub-neg` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `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 → 94

Calls

4 calls:

21.0ms	(- (/ (* m (- 1 m)) v) 1)
14.0ms	(* m (- 1 m))
23.0ms	(/ (* m (- 1 m)) v)
63.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series163.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ (* m (- 1 m)) v) 1)
59.0ms	(* m (- 1 m))
36.0ms	(/ (* m (- 1 m)) v)
46.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.9s

Counts

106 → 106

Iterations

Iter	Nodes
3	3426
2	926
1	340
0	143

prune730.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v (- 1 m))) 1)
0.0b	(/ v (- 1 m))
0.1b	(/ m (/ v (- 1 m)))
0.2b	(* (- (/ m (/ v (- 1 m))) 1) m)

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
174×	`add-sqr-sqrt`
140×	`*-un-lft-identity`
82×	`add-cube-cbrt`
44×	`difference-of-squares`
30×	`associate-/r*`
18×	`distribute-lft-out--`
13×	`add-cbrt-cube` `associate-l` `add-exp-log`
11×	`associate-/r/`
7×	`flip3--` `flip--`
6×	`pow1` `difference-of-sqr-1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`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 → 211

Calls

4 calls:

77.0ms	(- (/ m (/ v (- 1 m))) 1)
16.0ms	(/ v (- 1 m))
21.0ms	(/ m (/ v (- 1 m)))
178.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)

series168.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ m (/ v (- 1 m))) 1)
32.0ms	(/ v (- 1 m))
59.0ms	(/ m (/ v (- 1 m)))
47.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)

simplify2.7s

Counts

223 → 223

Iterations

Iter	Nodes
2	2233
1	749
0	320

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (- 1 m))
0.1b	(/ (/ v (- 1 m)) m)
0.2b	(* (- (/ 1 (/ (/ v (- 1 m)) m)) 1) m)
0.3b	(/ 1 (/ (/ v (- 1 m)) m))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

930×	`times-frac`
592×	`add-sqr-sqrt`
554×	`*-un-lft-identity`
379×	`add-cube-cbrt`
118×	`difference-of-squares`
85×	`associate-/r*`
54×	`distribute-lft-out--`
35×	`associate-/r/`
34×	`add-exp-log`
30×	`associate-/l*`
26×	`associate-l`
24×	`div-inv`
22×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
7×	`pow1` `difference-of-sqr-1`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-r`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr` `associate-/l/`

Counts

4 → 534

Calls

4 calls:

17.0ms	(/ v (- 1 m))
30.0ms	(/ (/ v (- 1 m)) m)
201.0ms	(* (- (/ 1 (/ (/ v (- 1 m)) m)) 1) m)
17.0ms	(/ 1 (/ (/ v (- 1 m)) m))

series195.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ v (- 1 m))
39.0ms	(/ (/ v (- 1 m)) m)
51.0ms	(* (- (/ 1 (/ (/ v (- 1 m)) m)) 1) m)
64.0ms	(/ 1 (/ (/ v (- 1 m)) m))

simplify19.8s

Counts

546 → 546

Iterations

Iter	Nodes
2	4327
1	1977
0	740

prune3.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) (+ m (/ (* (* m m) m) v)))
0.1b	(* (* m m) m)
0.2b	(/ m (/ v m))
6.3b	(/ (* (* m m) m) v)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
59×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
49×	`add-cube-cbrt`
23×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
9×	`add-log-exp`
6×	`cbrt-undiv` `pow-plus` `div-exp` `prod-exp` `pow-prod-up` `cbrt-unprod` `div-inv`
4×	`insert-posit16` `associate-/l*`
3×	`associate-r` `pow-prod-down` `difference-of-squares`
2×	`pow2` `clear-num` `frac-2neg` `diff-log` `pow-sqr` `frac-sub` `distribute-lft-out--`
1×	`sum-log` `sub-neg` `flip3-+` `flip3--` `associate-l` `pow3` `associate-/r/` `*-commutative` `flip-+` `flip--` `distribute-lft-out` `associate--r+` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

37.0ms	(- (/ m (/ v m)) (+ m (/ (* (* m m) m) v)))
33.0ms	(* (* m m) m)
11.0ms	(/ m (/ v m))
21.0ms	(/ (* (* m m) m) v)

series138.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ m (/ v m)) (+ m (/ (* (* m m) m) v)))
40.0ms	(* (* m m) m)
39.0ms	(/ m (/ v m))
31.0ms	(/ (* (* m m) m) v)

simplify1.2s

Counts

158 → 158

Iterations

Iter	Nodes
2	2640
1	705
0	247

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes89.0ms

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	11
1	11
0	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	13715×	body	80	valid
691.0ms	13715×	pre	80	true