Details

sample267.0ms

Algorithm

intervals

Results

133.0ms	469×	body	80	valid
28.0ms	469×	pre	80	true

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	1806
4	455
3	122
2	41
1	19
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

21.0ms	(- (/ (* m (- 1 m)) v) 1)
14.0ms	(/ (* m (- 1 m)) v)
70.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series120.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- (/ (* m (- 1 m)) v) 1)
45.0ms	(/ (* m (- 1 m)) v)
45.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify827.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	2002
2	1568
1	396
0	141

prune371.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (/ m v) (/ (* m m) v)) 1)
0.0b	(- (/ m v) (/ (* m m) v))
0.1b	(* (- (- (/ m v) (/ (* m m) v)) 1) (- 1 m))
12.3b	(/ (* m m) v)

rewrite458.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

122.0ms	(- (- (/ m v) (/ (* m m) v)) 1)
22.0ms	(- (/ m v) (/ (* m m) v))
293.0ms	(* (- (- (/ m v) (/ (* m m) v)) 1) (- 1 m))
18.0ms	(/ (* m m) v)

series162.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (- (/ m v) (/ (* m m) v)) 1)
47.0ms	(- (/ m v) (/ (* m m) v))
50.0ms	(* (- (- (/ m v) (/ (* m m) v)) 1) (- 1 m))
34.0ms	(/ (* m m) v)

simplify844.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	2003
2	1914
1	510
0	181

prune475.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

23.0ms	(- (* (/ m v) (- 1 m)) 1)
41.0ms	(* (/ m v) (- 1 m))
80.0ms	(* (- (* (/ m v) (- 1 m)) 1) (- 1 m))

series118.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (* (/ m v) (- 1 m)) 1)
39.0ms	(* (/ m v) (- 1 m))
50.0ms	(* (- (* (/ m v) (- 1 m)) 1) (- 1 m))

simplify1.0s

Counts

104 → 104

Iterations

Iter	Nodes
done	2000
2	1860
1	469
0	159

prune366.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

968×	`times-frac`
596×	`*-un-lft-identity`
488×	`add-sqr-sqrt`
388×	`add-cube-cbrt`
132×	`difference-of-squares`
74×	`associate-/l*`
69×	`distribute-lft-out`
48×	`associate-/r/`
30×	`associate-/r*`
27×	`div-inv`
26×	`flip3--` `flip--`
22×	`add-cbrt-cube` `add-exp-log`
16×	`associate-l`
10×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-r`
4×	`frac-times` `difference-of-sqr-1` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `associate-r/` `distribute-lft-out--`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `associate-/l/`

Counts

4 → 552

Calls

4 calls:

10.0ms	(/ v (- 1 (* m m)))
37.0ms	(/ (/ m (/ v (- 1 (* m m)))) (+ 1 m))
14.0ms	(/ m (/ v (- 1 (* m m))))
291.0ms	(* (- (/ (/ m (/ v (- 1 (* m m)))) (+ 1 m)) 1) (- 1 m))

series313.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ v (- 1 (* m m)))
93.0ms	(/ (/ m (/ v (- 1 (* m m)))) (+ 1 m))
46.0ms	(/ m (/ v (- 1 (* m m))))
73.0ms	(* (- (/ (/ m (/ v (- 1 (* m m)))) (+ 1 m)) 1) (- 1 m))

simplify1.0s

Counts

564 → 564

Iterations

Iter	Nodes
done	2000
0	825

prune2.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s	13668×	body	80	valid
579.0ms	13668×	pre	80	true