Details

sample133.0ms

Algorithm

intervals

Results

24.0ms	416×	body	80	valid
12.0ms	416×	pre	80	true

simplify569.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	816
3	126
2	37
1	19
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- m (* m m))
0.0b	(- (/ (- m (* m m)) (/ v m)) m)
0.3b	(/ (- m (* m m)) (/ v m))

rewrite64.0ms

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:

7.0ms	(- m (* m m))
30.0ms	(- (/ (- m (* m m)) (/ v m)) m)
20.0ms	(/ (- m (* m m)) (/ v m))

series200.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- m (* m m))
45.0ms	(- (/ (- m (* m m)) (/ v m)) m)
107.0ms	(/ (- m (* m m)) (/ v m))

simplify2.4s

Counts

145 → 145

Iterations

Iter	Nodes
done	5001
2	4520
1	792
0	258

prune690.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`associate-r`
14×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
9×	`associate-*r/`
8×	`pow1` `add-log-exp`
6×	`sub-neg` `associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `distribute-rgt-out--` `associate--l+` `insert-posit16`
3×	`flip3--` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`
2×	`diff-log` `pow-prod-down` `*-commutative` `frac-sub` `distribute-lft-out--` `sub-div`
1×	`cbrt-undiv` `div-exp`

Counts

4 → 98

Calls

4 calls:

38.0ms	(- (* m (- (/ m v) (* m (/ m v)))) m)
23.0ms	(- (/ m v) (* m (/ m v)))
22.0ms	(* m (/ m v))
41.0ms	(* m (- (/ m v) (* m (/ m v))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* m (- (/ m v) (* m (/ m v)))) m)
33.0ms	(- (/ m v) (* m (/ m v)))
32.0ms	(* m (/ m v))
51.0ms	(* m (- (/ m v) (* m (/ m v))))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1799
1	375
0	144

prune467.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
31×	`times-frac`
20×	`add-cube-cbrt`
18×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r*`
8×	`frac-times` `associate-r` `add-log-exp` `associate-/l/`
7×	`flip3-+` `flip3--` `associate-l` `flip-+` `flip--`
6×	`pow1` `cbrt-undiv` `div-exp`
4×	`distribute-rgt-out` `associate-l/` `associate-r/` `sqrt-prod` `insert-posit16`
3×	`sub-neg` `distribute-rgt-out--` `prod-exp` `cbrt-unprod` `div-inv` `difference-of-squares`
2×	`distribute-rgt-in` `distribute-lft-in` `distribute-rgt1-in` `associate-/r/` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `associate-/l` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

24.0ms	(- (/ (* (+ (sqrt m) m) (- (sqrt m) m)) (/ v m)) m)
12.0ms	(+ (sqrt m) m)
23.0ms	(/ (* (+ (sqrt m) m) (- (sqrt m) m)) (/ v m))
67.0ms	(* (+ (sqrt m) m) (- (sqrt m) m))

series463.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (/ (* (+ (sqrt m) m) (- (sqrt m) m)) (/ v m)) m)
40.0ms	(+ (sqrt m) m)
250.0ms	(/ (* (+ (sqrt m) m) (- (sqrt m) m)) (/ v m))
120.0ms	(* (+ (sqrt m) m) (- (sqrt m) m))

simplify1.2s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
1	777
0	254

prune721.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (/ v m))
0.2b	(/ m (sqrt (/ v m)))
0.3b	(/ (- 1 m) (sqrt (/ v m)))
0.3b	(* (/ m (sqrt (/ v m))) (/ (- 1 m) (sqrt (/ v m))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

510×	`times-frac`
405×	`add-sqr-sqrt`
338×	`*-un-lft-identity`
289×	`sqrt-prod`
239×	`add-cube-cbrt`
101×	`associate-r`
66×	`difference-of-squares`
53×	`associate-l`
33×	`distribute-lft-out--`
32×	`associate-/r*`
25×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
16×	`unswap-sqr`
9×	`associate-/l*`
7×	`pow1`
6×	`cbrt-undiv` `div-exp`
5×	`sqrt-div`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `flip3--` `pow1/2` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip--`

Counts

4 → 433

Calls

4 calls:

2.0ms	(sqrt (/ v m))
6.0ms	(/ m (sqrt (/ v m)))
27.0ms	(/ (- 1 m) (sqrt (/ v m)))
64.0ms	(* (/ m (sqrt (/ v m))) (/ (- 1 m) (sqrt (/ v m))))

series329.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sqrt (/ v m))
109.0ms	(/ m (sqrt (/ v m)))
101.0ms	(/ (- 1 m) (sqrt (/ v m)))
56.0ms	(* (/ m (sqrt (/ v m))) (/ (- 1 m) (sqrt (/ v m))))

simplify1.6s

Counts

445 → 445

Iterations

Iter	Nodes
done	5001
1	1537
0	538

prune2.1s

Pruning

5 alts after pruning (1 fresh and 4 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

simplify7.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.7s	13735×	body	80	valid
532.0ms	13735×	pre	80	true