Details

sample76.0ms

Algorithm

intervals

Results

32.0ms	369×	body	80	valid
10.0ms	133×	body	80	nan

simplify1.7s

Counts: 1 → 1

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
1.4b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

11.0ms	(+ 1.0 (* 10.0 k))
51.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
67.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ 1.0 (* 10.0 k))
34.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
215.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify662.0ms

Counts: 58 → 58

prune208.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.2b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.2b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite125.0ms

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))
29.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
68.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series298.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* k (+ 10.0 k))
98.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
140.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify1.1s

Counts: 129 → 129

prune535.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
1.2b	(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
13.2b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
13.2b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite603.0ms

Algorithm

rewrite-expression-head

Rules

1148×	`times-frac`
607×	`add-sqr-sqrt`
583×	`sqrt-prod`
553×	`add-cube-cbrt` `*-un-lft-identity`
294×	`associate-l`
238×	`unpow-prod-down`
82×	`sqr-pow`
48×	`associate-/l*`
34×	`sqrt-div`
30×	`add-exp-log` `associate-/r/`
18×	`add-cbrt-cube`
17×	`flip3-+` `flip-+`
15×	`div-inv` `unswap-sqr`
14×	`div-exp`
8×	`pow1`
6×	`cbrt-undiv` `associate-/r*`
5×	`prod-exp`
4×	`add-log-exp`
3×	`associate-r` `cbrt-unprod`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/`

Counts

4 → 721

Calls

4 calls:

122.0ms	(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
312.0ms	(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
31.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
33.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series399.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
148.0ms	(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
68.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
75.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify1.1s

Counts: 733 → 733

prune3.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
13.2b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
13.2b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-sqr-sqrt`
92×	`times-frac`
52×	`sqrt-prod`
48×	`associate-r`
46×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
24×	`unpow-prod-down` `associate-l`
21×	`unswap-sqr`
16×	`add-cbrt-cube`
12×	`sqr-pow`
10×	`div-exp`
9×	`add-log-exp`
8×	`pow1` `sqrt-div` `prod-exp`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod`
3×	`sum-log`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `div-inv`
1×	`+-commutative` `frac-times` `associate-+l+` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 160

Calls

4 calls:

23.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
214.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
37.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
36.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
160.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
63.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
95.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.5s

Counts: 172 → 172

prune868.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.3b

regimes79.0ms

Accuracy

82.4% (0.0b remaining)

Error of 1.8b against oracle of 1.8b and baseline of 1.9b

bsearch0.0ms

simplify861.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s	11910×	body	80	valid
321.0ms	4225×	body	80	nan