Details

sample101.0ms

Algorithm

intervals

Results

59.0ms	392×	body	80	valid
17.0ms	126×	body	80	nan

simplify1.3s

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize34.0ms

Local error

Found 4 expressions with local error:

4.9b	(/ a (+ (* k (+ k 10)) 1))
0.0b	(+ (* k (+ k 10)) 1)
0.0b	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))
0.0b	(* k (+ k 10))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

Slowest

73.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))
25.0ms	(* k (+ k 10))
13.0ms	(/ a (+ (* k (+ k 10)) 1))
8.0ms	(+ (* k (+ k 10)) 1)

series293.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))
70.0ms	(/ a (+ (* k (+ k 10)) 1))
67.0ms	(* k (+ k 10))
30.0ms	(+ (* k (+ k 10)) 1)

simplify759.0ms

Counts: 126 → 126

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 3.0b

localize28.0ms

Local error

Found 4 expressions with local error:

20.1b	(sqrt (+ (* k (+ k 10)) 1))
20.1b	(sqrt (+ (* k (+ k 10)) 1))
0.1b	(/ (/ a (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
0.0b	(/ a (sqrt (+ (* k (+ k 10)) 1)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`*-un-lft-identity` `add-cube-cbrt`
156×	`sqrt-prod`
27×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`associate-/r*`
11×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/l/`

Counts

4 → 266

Calls

4 calls:

Slowest

39.0ms	(/ (/ a (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
18.0ms	(/ a (sqrt (+ (* k (+ k 10)) 1)))
11.0ms	(sqrt (+ (* k (+ k 10)) 1))
11.0ms	(sqrt (+ (* k (+ k 10)) 1))

series271.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

96.0ms	(/ (/ a (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
94.0ms	(/ a (sqrt (+ (* k (+ k 10)) 1)))
44.0ms	(sqrt (+ (* k (+ k 10)) 1))
36.0ms	(sqrt (+ (* k (+ k 10)) 1))

simplify1.1s

Counts: 278 → 278

prune3.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 3.0b

localize54.0ms

Local error

Found 4 expressions with local error:

20.1b	(sqrt (+ (* k (+ k 10)) 1))
20.1b	(sqrt (+ (* k (+ k 10)) 1))
0.1b	(* a (/ 1 (sqrt (+ (* k (+ k 10)) 1))))
0.1b	(/ (* a (/ 1 (sqrt (+ (* k (+ k 10)) 1)))) (sqrt (+ (* k (+ k 10)) 1)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac` `add-exp-log`
26×	`*-un-lft-identity`
24×	`associate-r` `add-cube-cbrt`
23×	`sqrt-prod`
18×	`add-cbrt-cube`
9×	`div-exp`
8×	`pow1` `sqrt-div` `prod-exp`
6×	`associate-/r*`
5×	`cbrt-undiv` `unswap-sqr`
4×	`flip3-+` `associate-/r/` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp`
3×	`associate-l`
2×	`rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `associate-*r/` `un-div-inv` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

4 → 118

Calls

4 calls:

Slowest

69.0ms	(* a (/ 1 (sqrt (+ (* k (+ k 10)) 1))))
58.0ms	(/ (* a (/ 1 (sqrt (+ (* k (+ k 10)) 1)))) (sqrt (+ (* k (+ k 10)) 1)))
11.0ms	(sqrt (+ (* k (+ k 10)) 1))
10.0ms	(sqrt (+ (* k (+ k 10)) 1))

series295.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

111.0ms	(* a (/ 1 (sqrt (+ (* k (+ k 10)) 1))))
95.0ms	(/ (* a (/ 1 (sqrt (+ (* k (+ k 10)) 1)))) (sqrt (+ (* k (+ k 10)) 1)))
50.0ms	(sqrt (+ (* k (+ k 10)) 1))
39.0ms	(sqrt (+ (* k (+ k 10)) 1))

simplify2.6s

Counts: 130 → 130

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 3.0b

regimes136.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.7s	11858×	body	80	valid
652.0ms	4100×	body	80	nan