Details

sample38.0ms

Algorithm

intervals

Results

14.0ms	380×	body	80	valid
4.0ms	133×	body	80	nan

simplify105.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	24	7
1	48	7
2	96	6
3	256	6
4	891	6
5	3963	6
6	5002	6
done	5002	6

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.3b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.6b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 120

Calls

3 calls:

20.0ms	(* k (+ 10.0 k))
23.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
58.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series222.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* k (+ 10.0 k))
69.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
106.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify68.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	608	1105
1	2523	1041
2	5001	1035
done	5001	1035

prune322.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.0b	(* (pow k m) a)
1.9b	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

20.0ms	(* k (+ 10.0 k))
12.0ms	(* (pow k m) a)
29.0ms	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

series248.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* k (+ 10.0 k))
95.0ms	(* (pow k m) a)
106.0ms	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

simplify54.0ms

Counts

82 → 82

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	439	492
1	2038	440
2	5002	436
done	5002	436

prune185.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
0.0b	(* (pow k m) a)
15.2b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
15.2b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`add-exp-log`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
11×	`add-cbrt-cube`
7×	`associate-l`
6×	`pow1` `times-frac` `sqrt-div` `prod-exp` `associate-/r*`
4×	`unpow-prod-down` `div-exp` `add-log-exp`
3×	`flip3-+` `associate-r` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `associate-/r/` `cbrt-unprod` `sqr-pow`
1×	`frac-2neg` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 86

Calls

4 calls:

28.0ms	(/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
15.0ms	(* (pow k m) a)
16.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
16.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series393.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
97.0ms	(* (pow k m) a)
46.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
51.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify49.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	434	742
1	1726	690
2	5002	682
done	5002	682

prune285.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (* k 10.0) (pow k 2))
0.3b	(/ (pow k m) (+ (+ (* k 10.0) (pow k 2)) 1.0))
1.6b	(* (/ (pow k m) (+ (+ (* k 10.0) (pow k 2)) 1.0)) a)

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
59×	`times-frac`
48×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
34×	`associate-l`
28×	`unpow-prod-down`
18×	`add-exp-log`
16×	`distribute-lft-out`
10×	`add-cbrt-cube` `sqr-pow`
7×	`associate-/l*`
6×	`div-exp`
5×	`pow1` `add-log-exp`
4×	`prod-exp` `associate-/r*` `associate-/r/` `unswap-sqr`
3×	`flip3-+` `associate-r` `flip-+`
2×	`cbrt-undiv` `pow-to-exp` `pow-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `unpow2`

Counts

3 → 124

Calls

3 calls:

11.0ms	(+ (* k 10.0) (pow k 2))
69.0ms	(/ (pow k m) (+ (+ (* k 10.0) (pow k 2)) 1.0))
152.0ms	(* (/ (pow k m) (+ (+ (* k 10.0) (pow k 2)) 1.0)) a)

series230.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* k 10.0) (pow k 2))
65.0ms	(/ (pow k m) (+ (+ (* k 10.0) (pow k 2)) 1.0))
108.0ms	(* (/ (pow k m) (+ (+ (* k 10.0) (pow k 2)) 1.0)) a)

simplify60.0ms

Counts

133 → 133

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	584	1347
1	2313	1270
2	5001	1253
done	5001	1253

prune343.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.9b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6
done	15	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

458.0ms	11977×	body	80	valid
133.0ms	4186×	body	80	nan