Details

sample169.0ms

Algorithm

intervals

Results

28.0ms	443×	body	80	valid
14.0ms	443×	pre	80	true

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5016
10	4809
9	2125
8	1197
7	833
6	511
5	320
4	149
3	60
2	32
1	16
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`associate-/r*` `sub-neg` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `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 → 85

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
16.0ms	(* m (- 1.0 m))
27.0ms	(/ (* m (- 1.0 m)) v)
88.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series262.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
92.0ms	(* m (- 1.0 m))
55.0ms	(/ (* m (- 1.0 m)) v)
81.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1106
1	355
0	138

prune464.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ m v) (- 1.0 m)) 1.0)
0.1b	(* (/ m v) (- 1.0 m))
0.2b	(* (- (* (/ m v) (- 1.0 m)) 1.0) m)

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

15.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
37.0ms	(* (/ m v) (- 1.0 m))
63.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) m)

series129.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
49.0ms	(* (/ m v) (- 1.0 m))
55.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) m)

simplify1.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1166
1	361
0	140

prune464.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (/ v m)) (/ m (/ v m)))
0.2b	(* (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0) m)
0.2b	(/ m (/ v m))
0.2b	(/ 1.0 (/ v m))

rewrite3.5s

Algorithm

rewrite-expression-head

Rules

212×	`times-frac`
144×	`add-sqr-sqrt`
137×	`*-un-lft-identity`
104×	`add-cube-cbrt`
26×	`associate-/r*`
17×	`distribute-lft-out--`
16×	`add-cbrt-cube` `add-exp-log`
14×	`div-inv`
10×	`difference-of-squares`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-l` `associate-/l*` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`clear-num` `frac-2neg` `flip3--` `distribute-rgt-out--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `sub-div` `unswap-sqr`

Counts

4 → 202

Calls

4 calls:

131.0ms	(- (/ 1.0 (/ v m)) (/ m (/ v m)))
3.3s	(* (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0) m)
13.0ms	(/ m (/ v m))
15.0ms	(/ 1.0 (/ v m))

series196.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (/ 1.0 (/ v m)) (/ m (/ v m)))
73.0ms	(* (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0) m)
20.0ms	(/ m (/ v m))
25.0ms	(/ 1.0 (/ v m))

simplify2.2s

Counts

214 → 214

Iterations

Iter	Nodes
done	5002
2	2848
1	858
0	328

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0)) (cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0)))
0.4b	(cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0))
0.4b	(cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0))
0.4b	(cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0))

rewrite5.7s

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
58×	`cbrt-prod`
37×	`add-sqr-sqrt`
33×	`distribute-lft-out--`
18×	`cbrt-div`
15×	`swap-sqr` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

4.1s	(* (cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0)) (cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0)))
469.0ms	(cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0))
528.0ms	(cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0))
577.0ms	(cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0))

series6.1s

Counts

4 → 12

Calls

4 calls:

1.6s	(* (cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0)) (cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0)))
1.5s	(cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0))
1.5s	(cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0))
1.5s	(cbrt (- (- (/ 1.0 (/ v m)) (/ m (/ v m))) 1.0))

simplify1.8s

Counts

123 → 123

Iterations

Iter	Nodes
done	5006
3	1709
2	612
1	254
0	120

prune689.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s	13719×	body	80	valid
341.0ms	13719×	pre	80	true