Details

sample33.0ms

Algorithm

intervals

Results

14.0ms	377×	body	80	valid
4.0ms	122×	body	80	nan

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	12	15
1	24	15
2	47	13
3	91	13
4	220	13
5	651	13
6	2446	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.2b	(* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k m))
3.7b	(/ a (+ (* k (+ 10.0 k)) 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 97

Calls

3 calls:

12.0ms	(* k (+ 10.0 k))
26.0ms	(* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k m))
9.0ms	(/ a (+ (* k (+ 10.0 k)) 1.0))

series230.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* k (+ 10.0 k))
121.0ms	(* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k m))
65.0ms	(/ a (+ (* k (+ 10.0 k)) 1.0))

simplify698.0ms

Counts

106 → 106

Iterations

Useful iterations: done (694.0ms)

Iter	Nodes	Cost
0	210	1673
1	550	1610
2	1926	1490
done	5001	1487

prune273.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k (/ m 2))) (pow k (/ m 2)))
0.0b	(* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k (/ m 2)))
0.0b	(* k (+ 10.0 k))
3.7b	(/ a (+ (* k (+ 10.0 k)) 1.0))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
46×	`prod-exp`
40×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
22×	`add-cbrt-cube`
21×	`times-frac`
19×	`associate-l`
18×	`associate-r`
15×	`pow-to-exp` `pow-exp`
13×	`div-exp`
8×	`unpow-prod-down` `cbrt-unprod`
7×	`unswap-sqr`
6×	`pow1`
4×	`associate-/r/` `add-log-exp` `sqr-pow`
3×	`cbrt-undiv` `flip3-+` `associate-l/` `associate-/r` `-commutative` `flip-+` `associate-/l`
2×	`associate-*r/` `div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `distribute-lft-out`

Counts

4 → 138

Calls

4 calls:

33.0ms	(* (* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k (/ m 2))) (pow k (/ m 2)))
29.0ms	(* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k (/ m 2)))
9.0ms	(* k (+ 10.0 k))
9.0ms	(/ a (+ (* k (+ 10.0 k)) 1.0))

series380.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k (/ m 2))) (pow k (/ m 2)))
130.0ms	(* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k (/ m 2)))
42.0ms	(* k (+ 10.0 k))
68.0ms	(/ a (+ (* k (+ 10.0 k)) 1.0))

simplify930.0ms

Counts

150 → 150

Iterations

Useful iterations: 2 (294.0ms)

Iter	Nodes	Cost
0	265	3042
1	731	2747
2	2725	2471
done	5001	2471

prune355.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k (/ m 2))) (sqrt (pow k (/ m 2))))
0.0b	(* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k (/ m 2)))
0.0b	(* k (+ 10.0 k))
3.7b	(/ a (+ (* k (+ 10.0 k)) 1.0))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

37.0ms	(* (* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k (/ m 2))) (sqrt (pow k (/ m 2))))
26.0ms	(* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k (/ m 2)))
9.0ms	(* k (+ 10.0 k))
9.0ms	(/ a (+ (* k (+ 10.0 k)) 1.0))

series426.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k (/ m 2))) (sqrt (pow k (/ m 2))))
124.0ms	(* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k (/ m 2)))
43.0ms	(* k (+ 10.0 k))
71.0ms	(/ a (+ (* k (+ 10.0 k)) 1.0))

simplify994.0ms

Counts

140 → 140

Iterations

Useful iterations: 2 (292.0ms)

Iter	Nodes	Cost
0	276	2836
1	740	2672
2	2792	2302
done	5000	2302

prune620.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* a (/ (pow k (/ m 2)) (+ (* k (+ 10.0 k)) 1.0))) (sqrt (pow k (/ m 2))))
0.0b	(* k (+ 10.0 k))
0.3b	(/ (pow k (/ m 2)) (+ (* k (+ 10.0 k)) 1.0))
2.0b	(* a (/ (pow k (/ m 2)) (+ (* k (+ 10.0 k)) 1.0)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
45×	`times-frac`
42×	`*-un-lft-identity`
41×	`associate-r`
40×	`add-cube-cbrt`
37×	`add-exp-log`
25×	`unpow-prod-down`
22×	`add-cbrt-cube`
14×	`prod-exp`
13×	`pow1`
9×	`div-exp` `sqr-pow`
8×	`cbrt-unprod`
7×	`associate-l` `sqrt-prod` `associate-/l*`
5×	`pow-prod-down` `unswap-sqr`
4×	`associate-*r/` `associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `pow-to-exp` `flip3-+` `pow-exp` `associate-/r` `-commutative` `flip-+`
2×	`div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-*l/` `clear-num` `distribute-lft-out`

Counts

4 → 150

Calls

4 calls:

38.0ms	(* (* a (/ (pow k (/ m 2)) (+ (* k (+ 10.0 k)) 1.0))) (sqrt (pow k (/ m 2))))
9.0ms	(* k (+ 10.0 k))
11.0ms	(/ (pow k (/ m 2)) (+ (* k (+ 10.0 k)) 1.0))
30.0ms	(* a (/ (pow k (/ m 2)) (+ (* k (+ 10.0 k)) 1.0)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (* a (/ (pow k (/ m 2)) (+ (* k (+ 10.0 k)) 1.0))) (sqrt (pow k (/ m 2))))
43.0ms	(* k (+ 10.0 k))
70.0ms	(/ (pow k (/ m 2)) (+ (* k (+ 10.0 k)) 1.0))
120.0ms	(* a (/ (pow k (/ m 2)) (+ (* k (+ 10.0 k)) 1.0)))

simplify1.1s

Counts

162 → 162

Iterations

Useful iterations: 2 (338.0ms)

Iter	Nodes	Cost
0	308	3570
1	799	3359
2	3118	2965
done	5001	2965

prune505.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

98.5% (0.0b remaining)

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

bsearch55.0ms

Steps

Iters	Range		Point
7	3.440072796913006e+147	7.568385355872744e+149	5.090229718035933e+147

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	75
1	51	75
2	54	75
3	55	75
done	55	75

end0.0ms

sample952.0ms

Algorithm

intervals

Results

472.0ms	11964×	body	80	valid
139.0ms	4251×	body	80	nan