Details

sample103.0ms

Algorithm

intervals

Results

59.0ms	385×	body	80	valid
18.0ms	120×	body	80	nan

simplify1.6s

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize30.0ms

Local error

Found 3 expressions with local error:

5.3b	(/ a (+ (* k (+ k 10)) 1))
0.0b	(* k (+ k 10))
0.0b	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))

rewrite89.0ms

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×	`associate-/r` `flip3-+` `cbrt-unprod` `flip-+` `insert-posit16` `associate-/l` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `cbrt-undiv` `pow-exp` `associate-r/` `-commutative` `div-inv`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-*l/` `distribute-lft-out`

Counts

3 → 100

Calls

3 calls:

Slowest

52.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))
21.0ms	(* k (+ k 10))
14.0ms	(/ a (+ (* k (+ k 10)) 1))

series372.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

197.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))
107.0ms	(/ a (+ (* k (+ k 10)) 1))
67.0ms	(* k (+ k 10))

simplify764.0ms

Counts: 109 → 109

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.6b

localize20.0ms

Local error

Found 3 expressions with local error:

5.3b	(/ a (+ (* k (+ k 10)) 1))
0.0b	(* k (+ k 10))
0.0b	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))

rewrite121.0ms

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×	`associate-/r` `flip3-+` `cbrt-unprod` `flip-+` `insert-posit16` `associate-/l` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `cbrt-undiv` `pow-exp` `associate-r/` `-commutative` `div-inv`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-*l/` `distribute-lft-out`

Counts

3 → 100

Calls

3 calls:

Slowest

68.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))
27.0ms	(/ a (+ (* k (+ k 10)) 1))
24.0ms	(* k (+ k 10))

series314.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

174.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))
84.0ms	(/ a (+ (* k (+ k 10)) 1))
56.0ms	(* k (+ k 10))

simplify899.0ms

Counts: 109 → 109

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.6b

localize53.0ms

Local error

Found 4 expressions with local error:

14.5b	(sqrt (+ (* k (+ k 10)) 1))
14.5b	(sqrt (+ (* k (+ k 10)) 1))
0.1b	(/ (/ a (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
0.0b	(* k (+ k 10))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

270×	`times-frac`
153×	`add-sqr-sqrt`
151×	`*-un-lft-identity`
149×	`add-cube-cbrt`
144×	`sqrt-prod`
24×	`associate-/l*`
20×	`sqrt-div`
16×	`associate-/r/`
11×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
8×	`pow1` `div-inv`
6×	`associate-/r*`
4×	`associate-r` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr` `associate-/l/`

Counts

4 → 248

Calls

4 calls:

Slowest

80.0ms	(/ (/ a (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
26.0ms	(* k (+ k 10))
22.0ms	(sqrt (+ (* k (+ k 10)) 1))
21.0ms	(sqrt (+ (* k (+ k 10)) 1))

series228.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(/ (/ a (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
60.0ms	(sqrt (+ (* k (+ k 10)) 1))
59.0ms	(* k (+ k 10))
40.0ms	(sqrt (+ (* k (+ k 10)) 1))

simplify1.6s

Counts: 260 → 260

prune3.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.6b

localize43.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (* (/ a (+ (* k (+ k 10)) 1)) (pow k m)))
8.4b	(cbrt (* (/ a (+ (* k (+ k 10)) 1)) (pow k m)))
8.4b	(cbrt (* (/ a (+ (* k (+ k 10)) 1)) (pow k m)))
5.3b	(/ a (+ (* k (+ k 10)) 1))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `associate-/r` `pow1/3` `associate-l/` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 63

Calls

4 calls:

Slowest

25.0ms	(/ a (+ (* k (+ k 10)) 1))
24.0ms	(cbrt (* (/ a (+ (* k (+ k 10)) 1)) (pow k m)))
13.0ms	(cbrt (* (/ a (+ (* k (+ k 10)) 1)) (pow k m)))
11.0ms	(cbrt (* (/ a (+ (* k (+ k 10)) 1)) (pow k m)))

series885.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

311.0ms	(cbrt (* (/ a (+ (* k (+ k 10)) 1)) (pow k m)))
299.0ms	(cbrt (* (/ a (+ (* k (+ k 10)) 1)) (pow k m)))
215.0ms	(cbrt (* (/ a (+ (* k (+ k 10)) 1)) (pow k m)))
59.0ms	(/ a (+ (* k (+ k 10)) 1))

simplify1.6s

Counts: 75 → 75

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.6b

regimes147.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.1s	11995×	body	80	valid
598.0ms	4237×	body	80	nan