Details

sample107.0ms

Algorithm

intervals

Results

67.0ms	375×	body	80	valid
17.0ms	133×	body	80	nan

simplify9.5s

Counts

1 → 1

Iterations

Iter	Nodes
7	7970
6	1954
5	624
4	202
3	85
2	45
1	24
0	12

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize45.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ k 10))
0.2b	(* (pow k m) a)
1.9b	(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
17×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cbrt-cube`
10×	`associate-l` `add-cube-cbrt`
7×	`associate-r` `prod-exp`
5×	`pow1`
4×	`unpow-prod-down` `div-exp` `unswap-sqr`
3×	`associate-/r*` `times-frac` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-to-exp` `cbrt-undiv` `flip3-+` `pow-exp` `associate-r/` `associate-/r/` `-commutative` `flip-+` `sqr-pow`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

3 → 76

Calls

3 calls:

30.0ms	(* k (+ k 10))
19.0ms	(* (pow k m) a)
46.0ms	(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))

series450.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* k (+ k 10))
174.0ms	(* (pow k m) a)
207.0ms	(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))

simplify4.9s

Counts

85 → 85

Iterations

Iter	Nodes
3	7488
2	1404
1	437
0	166

prune974.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(* k (+ k 10))
1.9b	(/ (* (pow k (/ m 2)) (* (pow k (/ m 2)) a)) (+ (* k (+ k 10)) 1))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
22×	`prod-exp`
13×	`add-cbrt-cube` `div-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`pow-to-exp` `pow-exp`
6×	`add-cube-cbrt`
4×	`pow1` `associate-r` `cbrt-unprod`
3×	`cbrt-undiv` `associate-/r` `times-frac` `associate-l*`
2×	`flip3-+` `associate-*r/` `associate-/r/` `flip-+` `insert-posit16` `add-log-exp`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 60

Calls

2 calls:

20.0ms	(* k (+ k 10))
49.0ms	(/ (* (pow k (/ m 2)) (* (pow k (/ m 2)) a)) (+ (* k (+ k 10)) 1))

series242.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* k (+ k 10))
178.0ms	(/ (* (pow k (/ m 2)) (* (pow k (/ m 2)) a)) (+ (* k (+ k 10)) 1))

simplify6.7s

Counts

66 → 66

Iterations

Iter	Nodes
3	10018
2	1656
1	478
0	164

prune908.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (pow k (/ m 2)) (* (pow k (/ m 2)) a)) (sqrt (+ (* k (+ k 10)) 1)))
0.0b	(/ (/ (* (pow k (/ m 2)) (* (pow k (/ m 2)) a)) (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
17.1b	(sqrt (+ (* k (+ k 10)) 1))
17.1b	(sqrt (+ (* k (+ k 10)) 1))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
99×	`add-exp-log`
72×	`sqrt-prod`
59×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `add-cube-cbrt`
42×	`prod-exp`
40×	`div-exp`
27×	`add-cbrt-cube`
22×	`sqrt-div`
18×	`associate-/r/`
14×	`pow-to-exp` `pow-exp`
13×	`associate-/l*`
12×	`associate-/r*`
11×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
9×	`div-inv`
6×	`pow1` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/l/`

Counts

4 → 196

Calls

4 calls:

75.0ms	(/ (* (pow k (/ m 2)) (* (pow k (/ m 2)) a)) (sqrt (+ (* k (+ k 10)) 1)))
101.0ms	(/ (/ (* (pow k (/ m 2)) (* (pow k (/ m 2)) a)) (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
34.0ms	(sqrt (+ (* k (+ k 10)) 1))
21.0ms	(sqrt (+ (* k (+ k 10)) 1))

series577.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(/ (* (pow k (/ m 2)) (* (pow k (/ m 2)) a)) (sqrt (+ (* k (+ k 10)) 1)))
180.0ms	(/ (/ (* (pow k (/ m 2)) (* (pow k (/ m 2)) a)) (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
62.0ms	(sqrt (+ (* k (+ k 10)) 1))
41.0ms	(sqrt (+ (* k (+ k 10)) 1))

simplify1.6s

Counts

208 → 208

Iterations

Iter	Nodes
2	3065
1	797
0	301

prune3.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ k 10))
0.3b	(/ (pow k (/ m 2)) (/ (+ (* k (+ k 10)) 1) (* (pow k (/ m 2)) a)))
1.7b	(/ (+ (* k (+ k 10)) 1) (* (pow k (/ m 2)) a))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
58×	`add-exp-log`
41×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`add-cube-cbrt`
31×	`div-exp`
24×	`unpow-prod-down`
19×	`add-cbrt-cube`
13×	`prod-exp`
10×	`div-inv` `associate-/l*`
9×	`pow-to-exp` `pow-exp`
8×	`associate-/r*` `sqr-pow`
7×	`cbrt-undiv`
5×	`pow1`
4×	`associate-r`
3×	`associate-l` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `associate-*r/` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-/r/` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

3 → 143

Calls

3 calls:

22.0ms	(* k (+ k 10))
32.0ms	(/ (pow k (/ m 2)) (/ (+ (* k (+ k 10)) 1) (* (pow k (/ m 2)) a)))
63.0ms	(/ (+ (* k (+ k 10)) 1) (* (pow k (/ m 2)) a))

series451.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* k (+ k 10))
205.0ms	(/ (pow k (/ m 2)) (/ (+ (* k (+ k 10)) 1) (* (pow k (/ m 2)) a)))
187.0ms	(/ (+ (* k (+ k 10)) 1) (* (pow k (/ m 2)) a))

simplify1.2s

Counts

152 → 152

Iterations

Iter	Nodes
2	2675
1	788
0	300

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes166.0ms

Accuracy

95.6% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 2.0b

bsearch69.0ms

Steps

Iters	Range		Point
6	5.728011845621253e+138	2.4002680354170994e+139	1.0251482028952462e+139

simplify15.0ms

Iterations

Iter	Nodes
2	47
1	47
0	37

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s	11902×	body	80	valid
650.0ms	4255×	body	80	nan