Details

sample268.0ms

Algorithm

intervals

Results

78.0ms	454×	body	80	valid
50.0ms	454×	pre	80	true

simplify1.7s

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

16.0ms	(* m (- 1 m))
28.0ms	(/ (* m (- 1 m)) v)
72.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series128.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify1.6s

Counts

86 → 86

Iterations

Iter	Nodes
3	3122
2	842
1	307
0	129

prune702.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ m v) m) m)
0.0b	(- (- (* (/ m v) m) m) (/ (* m m) (/ v m)))
0.2b	(* (/ m v) m)
2.0b	(/ (* m m) (/ v m))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
38×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
26×	`add-cube-cbrt`
21×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r` `associate-l*`
11×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`diff-log` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv`
3×	`sub-neg` `flip3--` `associate-r` `flip--` `difference-of-squares`
2×	`associate--l+` `frac-sub` `unswap-sqr`
1×	`associate--l-` `clear-num` `frac-2neg` `distribute-rgt-out--` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l*` `distribute-lft-out--`

Counts

4 → 117

Calls

4 calls:

17.0ms	(- (* (/ m v) m) m)
111.0ms	(- (- (* (/ m v) m) m) (/ (* m m) (/ v m)))
19.0ms	(* (/ m v) m)
21.0ms	(/ (* m m) (/ v m))

series115.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* (/ m v) m) m)
39.0ms	(- (- (* (/ m v) m) m) (/ (* m m) (/ v m)))
21.0ms	(* (/ m v) m)
31.0ms	(/ (* m m) (/ v m))

simplify6.3s

Counts

129 → 129

Iterations

Iter	Nodes
3	6648
2	1664
1	533
0	214

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

8.0ms	(- m (* m m))
13.0ms	(- (* (/ m v) (- m (* m m))) m)
18.0ms	(* (/ m v) (- m (* m m)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- m (* m m))
29.0ms	(- (* (/ m v) (- m (* m m))) m)
69.0ms	(* (/ m v) (- m (* m m)))

simplify3.9s

Counts

84 → 84

Iterations

Iter	Nodes
3	4591
2	1237
1	327
0	125

prune548.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

122×	`times-frac`
83×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
59×	`add-cube-cbrt`
18×	`difference-of-squares`
16×	`distribute-rgt-out--`
13×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv` `add-log-exp`
5×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `insert-posit16` `flip--`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`associate--l-` `clear-num` `frac-2neg` `distribute-lft-out--`

Counts

3 → 136

Calls

3 calls:

9.0ms	(- m (* m m))
35.0ms	(- (/ (- m (* m m)) (/ v m)) m)
16.0ms	(/ (- m (* m m)) (/ v m))

series155.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- m (* m m))
36.0ms	(- (/ (- m (* m m)) (/ v m)) m)
71.0ms	(/ (- m (* m m)) (/ v m))

simplify857.0ms

Counts

145 → 145

Iterations

Iter	Nodes
2	2547
1	760
0	258

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13804×	body	80	valid
593.0ms	13804×	pre	80	true