Details

sample175.0ms

Algorithm

intervals

Results

49.0ms	469×	body	80	valid
23.0ms	469×	pre	80	true

simplify385.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2003
4	369
3	90
2	35
1	19
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

14.0ms	(- (/ (* m (- 1 m)) v) 1)
13.0ms	(/ (* m (- 1 m)) v)
53.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series128.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (/ (* m (- 1 m)) v) 1)
58.0ms	(/ (* m (- 1 m)) v)
41.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify779.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	2009
2	949
1	307
0	117

prune322.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (/ m v) (/ (* m m) v)) 1)
0.0b	(- (/ m v) (/ (* m m) v))
0.2b	(* (- (- (/ m v) (/ (* m m) v)) 1) m)
12.3b	(/ (* m m) v)

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

95.0ms	(- (- (/ m v) (/ (* m m) v)) 1)
14.0ms	(- (/ m v) (/ (* m m) v))
245.0ms	(* (- (- (/ m v) (/ (* m m) v)) 1) m)
17.0ms	(/ (* m m) v)

series125.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (- (/ m v) (/ (* m m) v)) 1)
36.0ms	(- (/ m v) (/ (* m m) v))
35.0ms	(* (- (- (/ m v) (/ (* m m) v)) 1) m)
36.0ms	(/ (* m m) v)

simplify704.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	2139
2	1343
1	401
0	149

prune418.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v)) 1)
0.2b	(* (- (/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v)) 1) m)
0.3b	(/ (* m (- 1 m)) (sqrt v))
0.4b	(/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
91×	`add-sqr-sqrt`
66×	`sqrt-prod`
63×	`*-un-lft-identity`
53×	`add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
13×	`associate-l`
12×	`associate-/r*` `difference-of-squares`
11×	`associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `difference-of-sqr-1` `add-log-exp`
4×	`insert-posit16`
3×	`flip3--` `associate-r` `prod-exp` `cbrt-unprod` `flip--` `associate-/l/`
2×	`clear-num` `frac-2neg` `associate-l/` `associate-r/` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 178

Calls

4 calls:

25.0ms	(- (/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v)) 1)
111.0ms	(* (- (/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v)) 1) m)
22.0ms	(/ (* m (- 1 m)) (sqrt v))
29.0ms	(/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v))

series239.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v)) 1)
51.0ms	(* (- (/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v)) 1) m)
69.0ms	(/ (* m (- 1 m)) (sqrt v))
63.0ms	(/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v))

simplify646.0ms

Counts

190 → 190

Iterations

Iter	Nodes
done	2001
1	672
0	261

prune773.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* (/ m (sqrt v)) (/ (- 1 m) (sqrt v))) 1) m)
0.2b	(/ m (sqrt v))
0.3b	(/ (- 1 m) (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1 m) (sqrt v)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

145×	`add-sqr-sqrt`
120×	`times-frac`
113×	`*-un-lft-identity`
74×	`add-cube-cbrt`
66×	`sqrt-prod`
43×	`associate-r`
26×	`difference-of-squares`
25×	`associate-l`
22×	`add-cbrt-cube` `add-exp-log`
13×	`distribute-lft-out--`
12×	`associate-/r*`
10×	`unswap-sqr`
9×	`associate-/l*`
8×	`pow1`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 217

Calls

4 calls:

50.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1 m) (sqrt v))) 1) m)
5.0ms	(/ m (sqrt v))
12.0ms	(/ (- 1 m) (sqrt v))
27.0ms	(* (/ m (sqrt v)) (/ (- 1 m) (sqrt v)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1 m) (sqrt v))) 1) m)
80.0ms	(/ m (sqrt v))
66.0ms	(/ (- 1 m) (sqrt v))
74.0ms	(* (/ m (sqrt v)) (/ (- 1 m) (sqrt v)))

simplify720.0ms

Counts

229 → 229

Iterations

Iter	Nodes
done	2001
1	868
0	305

prune970.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s	13668×	body	80	valid
600.0ms	13668×	pre	80	true