Details

sample96.0ms

Algorithm

intervals

Results

50.0ms	394×	body	80	valid
9.0ms	125×	body	80	nan

simplify1.8s

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.2b	(* a (pow k m))
1.7b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

10.0ms	(+ 1.0 (* 10.0 k))
47.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
32.0ms	(* a (pow k m))
35.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series748.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ 1.0 (* 10.0 k))
22.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
118.0ms	(* a (pow k m))
543.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.0s

Counts: 86 → 86

prune388.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.7b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

5.0ms	(+ 1.0 (* 10.0 k))
35.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
41.0ms	(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
77.0ms	(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series399.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ 1.0 (* 10.0 k))
29.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
101.0ms	(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
218.0ms	(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.3s

Counts: 101 → 101

prune382.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.3b	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
13.7b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
13.7b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite340.0ms

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:

36.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
208.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
42.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
43.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
215.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
74.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
65.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.6s

Counts: 172 → 172

prune751.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.3b	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
13.7b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
13.7b	(sqrt (+ 1.0 (* k (+ 10.0 k))))

rewrite236.0ms

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:

30.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
160.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
27.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
10.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
215.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
80.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
57.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))

simplify1.6s

Counts: 172 → 172

prune782.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.7b

regimes97.0ms

Accuracy

-62.6% (0.1b remaining)

Error of 2.1b against oracle of 2.0b and baseline of 2.1b

bsearch0.0ms

simplify1.7s

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	11948×	body	80	valid
373.0ms	4269×	body	80	nan