Details

sample70.0ms

Algorithm

intervals

Results

28.0ms	386×	body	80	valid
10.0ms	152×	body	80	nan

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	15
1	24	15
2	48	13
3	96	13
4	257	13
5	1406	13
done	5001	13

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(* a (pow k m))
1.7b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

34.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
15.0ms	(* a (pow k m))
26.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
85.0ms	(* a (pow k m))
153.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.0s

Counts

72 → 72

Iterations

Useful iterations: done (998.0ms)

Iter	Nodes	Cost
0	154	1140
1	425	1085
2	2064	885
done	5001	875

prune523.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ 1 k) (- m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(* a (pow (/ 1 k) (- m)))
1.7b	(/ (* a (pow (/ 1 k) (- m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
35×	`add-sqr-sqrt`
29×	`unpow-prod-down`
26×	`*-un-lft-identity`
25×	`add-cube-cbrt`
23×	`times-frac`
17×	`associate-r`
13×	`div-exp`
12×	`pow-exp` `prod-exp`
11×	`add-cbrt-cube`
10×	`pow-unpow`
9×	`add-log-exp`
6×	`pow1`
5×	`pow-neg` `unswap-sqr`
4×	`associate-*r/`
3×	`neg-sub0` `distribute-lft-neg-in` `pow-to-exp` `rec-exp` `associate-/r` `sum-log` `pow-pow` `distribute-rgt-neg-in` `1-exp` `associate-l*` `div-inv` `pow-sub` `sqr-pow` `associate-/l/`
2×	`cbrt-undiv` `flip3-+` `associate-/r/` `un-div-inv` `cbrt-unprod` `flip-+`
1×	`+-commutative` `associate-+l+` `clear-num` `neg-mul-1` `frac-2neg` `-commutative` `pow-flip` `associate-/l` `inv-pow`

Counts

4 → 128

Calls

4 calls:

12.0ms	(pow (/ 1 k) (- m))
33.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
31.0ms	(* a (pow (/ 1 k) (- m)))
45.0ms	(/ (* a (pow (/ 1 k) (- m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(pow (/ 1 k) (- m))
34.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
91.0ms	(* a (pow (/ 1 k) (- m)))
192.0ms	(/ (* a (pow (/ 1 k) (- m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.9s

Counts

140 → 140

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	252	2096
1	741	1899
2	3773	1633
done	5001	1418

prune716.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ 10.0 k) k)
1.7b	(/ a (* (+ (* (+ 10.0 k) k) 1.0) (pow (/ 1 k) m)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

16.0ms	(* (+ 10.0 k) k)
26.0ms	(/ a (* (+ (* (+ 10.0 k) k) 1.0) (pow (/ 1 k) m)))

series286.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (+ 10.0 k) k)
223.0ms	(/ a (* (+ (* (+ 10.0 k) k) 1.0) (pow (/ 1 k) m)))

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	158	879
1	402	844
2	1907	743
done	5000	696

prune289.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(* a (pow (/ 1 k) (/ (- m) 2)))
0.0b	(* (* a (pow (/ 1 k) (/ (- m) 2))) (pow (/ 1 k) (/ (- m) 2)))
1.7b	(/ (* (* a (pow (/ 1 k) (/ (- m) 2))) (pow (/ 1 k) (/ (- m) 2))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

300×	`add-exp-log`
162×	`prod-exp`
108×	`pow-exp`
97×	`div-exp`
34×	`associate-r`
33×	`add-sqr-sqrt`
29×	`unpow-prod-down`
27×	`pow-to-exp` `rec-exp` `1-exp`
24×	`pow-neg` `*-un-lft-identity` `distribute-frac-neg`
23×	`times-frac` `add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`associate-*r/`
15×	`neg-sub0` `div-sub` `pow-sub`
12×	`frac-times` `associate-/l/`
9×	`un-div-inv` `add-log-exp`
7×	`cbrt-unprod`
6×	`associate-*l/`
5×	`unswap-sqr`
4×	`pow1` `associate-l`
3×	`cbrt-undiv` `associate-/r*` `sum-log` `div-inv` `sqr-pow`
2×	`flip3-+` `associate-/r/` `*-commutative` `flip-+`
1×	`+-commutative` `associate-+l+` `clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 215

Calls

4 calls:

38.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
39.0ms	(* a (pow (/ 1 k) (/ (- m) 2)))
59.0ms	(* (* a (pow (/ 1 k) (/ (- m) 2))) (pow (/ 1 k) (/ (- m) 2)))
61.0ms	(/ (* (* a (pow (/ 1 k) (/ (- m) 2))) (pow (/ 1 k) (/ (- m) 2))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
104.0ms	(* a (pow (/ 1 k) (/ (- m) 2)))
117.0ms	(* (* a (pow (/ 1 k) (/ (- m) 2))) (pow (/ 1 k) (/ (- m) 2)))
201.0ms	(/ (* (* a (pow (/ 1 k) (/ (- m) 2))) (pow (/ 1 k) (/ (- m) 2))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify462.0ms

Counts

227 → 227

Iterations

Useful iterations: done (453.0ms)

Iter	Nodes	Cost
0	311	5467
1	908	4716
done	5000	3609

prune914.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

94.2% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 2.1b

bsearch104.0ms

Steps

Iters	Range		Point
6	5.172846739179762e+122	3.935844582495948e+123	2.172773149861676e+123

simplify25.0ms

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	44	69
1	61	69
2	65	69
3	69	68
4	71	68
done	71	68

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	11894×	body	80	valid
835.0ms	4343×	body	80	nan