Details

sample612.0ms

Algorithm

intervals

Results

46.0ms	426×	body	80	valid
22.0ms	426×	pre	80	true

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
6	2000
5	1806
4	455
3	122
2	41
1	19
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
10×	`associate-l` `add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`pow1` `difference-of-squares`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `insert-posit16` `distribute-lft-out--`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `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 → 107

Calls

4 calls:

28.0ms	(- (/ (* m (- 1 m)) v) 1)
30.0ms	(* m (- 1 m))
29.0ms	(/ (* m (- 1 m)) v)
92.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series234.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ (* m (- 1 m)) v) 1)
81.0ms	(* m (- 1 m))
59.0ms	(/ (* m (- 1 m)) v)
72.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify1.6s

Counts

119 → 119

Iterations

Iter	Nodes
done	2047
3	2047
2	1696
1	444
0	160

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

15.0ms	(* m (- 1 m))
16.0ms	(/ (* m (- 1 m)) v)
113.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
96.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* m (- 1 m))
43.0ms	(/ (* m (- 1 m)) v)
95.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
85.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

simplify1.1s

Counts

154 → 154

Iterations

Iter	Nodes
done	2000
2	2000
1	839
0	246

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite427.0ms

Algorithm

rewrite-expression-head

Rules

174×	`associate-*r/`
76×	`frac-times`
64×	`frac-add`
58×	`flip3-+` `flip-+`
57×	`flip3--` `flip--`
38×	`associate-*l/`
30×	`associate-l`
27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
11×	`associate-r`
8×	`sqrt-prod`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-+l+` `associate-+r+` `insert-posit16` `distribute-lft-out` `difference-of-squares`
3×	`distribute-lft-neg-out` `*-commutative`
2×	`difference-of-sqr-1` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `neg-mul-1` `sum-log` `distribute-rgt-out` `unsub-neg`

Counts

4 → 202

Calls

4 calls:

144.0ms	(+ (* 1 (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))) (* (- (sqrt m)) (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))))
82.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))
99.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))
93.0ms	(* (- (sqrt m)) (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))))

series427.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (* 1 (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))) (* (- (sqrt m)) (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))))
107.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))
104.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))
134.0ms	(* (- (sqrt m)) (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))))

simplify1.9s

Counts

214 → 214

Iterations

Iter	Nodes
done	2002
2	2002
1	1745
0	453

prune2.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

10.0ms	(- (* m (/ (- 1 m) v)) 1)
13.0ms	(/ (- 1 m) v)
62.0ms	(* (- (* m (/ (- 1 m) v)) 1) (- 1 m))
29.0ms	(* m (/ (- 1 m) v))

series169.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* m (/ (- 1 m) v)) 1)
38.0ms	(/ (- 1 m) v)
54.0ms	(* (- (* m (/ (- 1 m) v)) 1) (- 1 m))
48.0ms	(* m (/ (- 1 m) v))

simplify1.5s

Counts

144 → 144

Iterations

Iter	Nodes
done	2002
3	2002
2	1792
1	512
0	191

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify20.0ms

Iterations

Iter	Nodes
done	43
4	43
3	41
2	28
1	24
0	14

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.7s	13618×	body	80	valid
625.0ms	13618×	pre	80	true