Details

sample96.0ms

Algorithm

intervals

Results

35.0ms	398×	body	80	valid
11.0ms	146×	body	80	nan

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	2078
5	627
4	203
3	85
2	45
1	24
0	12

prune62.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* k (+ k 10.0)) 1.0)
0.0b	(* k (+ k 10.0))
0.2b	(/ (pow k m) (+ (* k (+ k 10.0)) 1.0))
1.6b	(* (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)) a)

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

25.0ms	(+ (* k (+ k 10.0)) 1.0)
31.0ms	(* k (+ k 10.0))
54.0ms	(/ (pow k m) (+ (* k (+ k 10.0)) 1.0))
134.0ms	(* (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)) a)

series525.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* k (+ k 10.0)) 1.0)
97.0ms	(* k (+ k 10.0))
166.0ms	(/ (pow k m) (+ (* k (+ k 10.0)) 1.0))
232.0ms	(* (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)) a)

simplify3.9s

Counts

149 → 149

Iterations

Iter	Nodes
done	5017
2	2230
1	658
0	253

prune2.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* k (+ k 10.0)) 1.0)
0.0b	(* (pow k m) a)
0.0b	(* k (+ k 10.0))
1.8b	(/ (* (pow k m) a) (+ (* k (+ k 10.0)) 1.0))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

15.0ms	(+ (* k (+ k 10.0)) 1.0)
16.0ms	(* (pow k m) a)
31.0ms	(* k (+ k 10.0))
73.0ms	(/ (* (pow k m) a) (+ (* k (+ k 10.0)) 1.0))

series679.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* k (+ k 10.0)) 1.0)
256.0ms	(* (pow k m) a)
75.0ms	(* k (+ k 10.0))
314.0ms	(/ (* (pow k m) a) (+ (* k (+ k 10.0)) 1.0))

simplify3.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	5003
2	1726
1	496
0	182

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow k m) a)
0.0b	(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ k 10.0)) 1.0))) (sqrt (+ (* k (+ k 10.0)) 1.0)))
14.9b	(sqrt (+ (* k (+ k 10.0)) 1.0))
14.9b	(sqrt (+ (* k (+ k 10.0)) 1.0))

rewrite616.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`sqrt-prod`
63×	`add-sqr-sqrt`
56×	`*-un-lft-identity` `add-cube-cbrt`
25×	`add-exp-log`
20×	`sqrt-div`
16×	`associate-/r/`
15×	`add-cbrt-cube`
12×	`associate-/l*`
10×	`flip3-+` `flip-+`
9×	`div-exp`
8×	`div-inv`
7×	`associate-l`
6×	`pow1` `associate-/r*` `prod-exp`
5×	`cbrt-undiv`
4×	`unpow-prod-down` `insert-posit16` `add-log-exp`
3×	`associate-r` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `cbrt-unprod` `sqr-pow`
1×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`

Counts

4 → 170

Calls

4 calls:

24.0ms	(* (pow k m) a)
523.0ms	(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ k 10.0)) 1.0))) (sqrt (+ (* k (+ k 10.0)) 1.0)))
24.0ms	(sqrt (+ (* k (+ k 10.0)) 1.0))
29.0ms	(sqrt (+ (* k (+ k 10.0)) 1.0))

series689.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (pow k m) a)
320.0ms	(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ k 10.0)) 1.0))) (sqrt (+ (* k (+ k 10.0)) 1.0)))
71.0ms	(sqrt (+ (* k (+ k 10.0)) 1.0))
76.0ms	(sqrt (+ (* k (+ k 10.0)) 1.0))

simplify4.6s

Counts

182 → 182

Iterations

Iter	Nodes
done	5122
2	2572
1	737
0	295

prune2.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* k (+ k 10.0)) 1.0)
0.0b	(* k (+ k 10.0))
0.3b	(/ (pow k m) (/ (+ (* k (+ k 10.0)) 1.0) a))
2.4b	(/ (+ (* k (+ k 10.0)) 1.0) a)

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

172×	`times-frac`
100×	`add-sqr-sqrt` `*-un-lft-identity`
98×	`add-cube-cbrt`
42×	`unpow-prod-down`
21×	`add-exp-log`
16×	`associate-/r*`
14×	`sqr-pow`
13×	`add-cbrt-cube`
10×	`div-exp` `div-inv` `associate-/l*`
6×	`pow1` `add-log-exp`
4×	`cbrt-undiv` `associate-r` `insert-posit16`
3×	`flip3-+` `associate-l` `flip-+`
2×	`distribute-rgt-in` `pow-to-exp` `associate-+l+` `clear-num` `frac-2neg` `distribute-lft-in` `pow-exp` `associate-*r/` `associate-/l/`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 199

Calls

4 calls:

31.0ms	(+ (* k (+ k 10.0)) 1.0)
55.0ms	(* k (+ k 10.0))
61.0ms	(/ (pow k m) (/ (+ (* k (+ k 10.0)) 1.0) a))
44.0ms	(/ (+ (* k (+ k 10.0)) 1.0) a)

series446.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* k (+ k 10.0)) 1.0)
55.0ms	(* k (+ k 10.0))
294.0ms	(/ (pow k m) (/ (+ (* k (+ k 10.0)) 1.0) a))
69.0ms	(/ (+ (* k (+ k 10.0)) 1.0) a)

simplify5.2s

Counts

211 → 211

Iterations

Iter	Nodes
done	5018
2	3269
1	974
0	367

prune2.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes577.0ms

Accuracy

97.4% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.9b

bsearch90.0ms

Steps

Iters	Range		Point
7	2.802632506075539e+90	1.0101875118888572e+92	3.765086051784335e+91

simplify39.0ms

Iterations

Iter	Nodes
done	45
1	45
0	33

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	11942×	body	80	valid
347.0ms	4150×	body	80	nan