Details

sample640.0ms

Algorithm

intervals

Results

363.0ms	1135×	body	80	nan
192.0ms	394×	body	80	valid

simplify4.7s

Counts: 1 → 1

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.6b

localize52.0ms

Local error

Found 4 expressions with local error:

12.9b	(sqrt (/ d l))
12.9b	(sqrt (/ d l))
10.3b	(/ (* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (sqrt (/ d l))) (* (/ l h) 2))
9.4b	(sqrt (/ d h))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

640×	`add-cbrt-cube` `add-exp-log`
348×	`cbrt-undiv` `div-exp`
207×	`prod-exp` `cbrt-unprod`
39×	`sqrt-prod`
34×	`add-sqr-sqrt`
31×	`times-frac`
25×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1` `sqrt-div` `associate-/l/`
6×	`rem-sqrt-square` `associate-*l/`
5×	`frac-times`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `associate-*r/`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/r/` `associate-/l`

Counts

4 → 262

Calls

4 calls:

Slowest

125.0ms	(/ (* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (sqrt (/ d l))) (* (/ l h) 2))
4.0ms	(sqrt (/ d l))
4.0ms	(sqrt (/ d l))
2.0ms	(sqrt (/ d h))

series572.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

373.0ms	(/ (* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (sqrt (/ d l))) (* (/ l h) 2))
77.0ms	(sqrt (/ d h))
65.0ms	(sqrt (/ d l))
58.0ms	(sqrt (/ d l))

simplify944.0ms

Counts: 274 → 274

prune5.5s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 11.3b

localize128.0ms

Local error

Found 4 expressions with local error:

12.9b	(sqrt (/ d l))
12.9b	(sqrt (/ d l))
10.3b	(/ (* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (sqrt (/ d l))) (* (/ l h) 2))
4.4b	(/ (/ M d) (/ 2 D))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

652×	`add-cbrt-cube` `add-exp-log`
442×	`times-frac`
356×	`cbrt-undiv` `div-exp`
220×	`add-sqr-sqrt`
214×	`*-un-lft-identity` `add-cube-cbrt`
207×	`prod-exp` `cbrt-unprod`
32×	`div-inv`
26×	`sqrt-prod`
14×	`associate-/r` `associate-/l`
8×	`associate-/l/`
6×	`pow1` `sqrt-div` `associate-*l/`
5×	`frac-times`
4×	`rem-sqrt-square` `insert-posit16` `add-log-exp`
3×	`associate-*r/`
2×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-/r/`

Counts

4 → 452

Calls

4 calls:

Slowest

113.0ms	(/ (* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (sqrt (/ d l))) (* (/ l h) 2))
12.0ms	(/ (/ M d) (/ 2 D))
4.0ms	(sqrt (/ d l))
2.0ms	(sqrt (/ d l))

series547.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

381.0ms	(/ (* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (sqrt (/ d l))) (* (/ l h) 2))
69.0ms	(sqrt (/ d l))
55.0ms	(sqrt (/ d l))
42.0ms	(/ (/ M d) (/ 2 D))

simplify1.6s

Counts: 464 → 464

prune11.4s

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 10.3b

localize170.0ms

Local error

Found 4 expressions with local error:

12.9b	(sqrt (/ d l))
10.3b	(/ (* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (sqrt (/ d l))) (* (/ l h) 2))
4.4b	(/ (/ M d) (/ 2 D))
4.4b	(/ (/ M d) (/ 2 D))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

853×	`times-frac`
664×	`add-cbrt-cube` `add-exp-log`
406×	`add-sqr-sqrt`
403×	`*-un-lft-identity` `add-cube-cbrt`
364×	`cbrt-undiv` `div-exp`
207×	`prod-exp` `cbrt-unprod`
60×	`div-inv`
27×	`associate-/r` `associate-/l`
13×	`sqrt-prod`
9×	`associate-/l/`
6×	`associate-*l/`
5×	`frac-times` `pow1` `sqrt-div`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-*r/` `associate-/r/`
2×	`rem-sqrt-square`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 642

Calls

4 calls:

Slowest

131.0ms	(/ (* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (sqrt (/ d l))) (* (/ l h) 2))
19.0ms	(/ (/ M d) (/ 2 D))
18.0ms	(/ (/ M d) (/ 2 D))
2.0ms	(sqrt (/ d l))

series548.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

373.0ms	(/ (* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (sqrt (/ d l))) (* (/ l h) 2))
82.0ms	(sqrt (/ d l))
46.0ms	(/ (/ M d) (/ 2 D))
46.0ms	(/ (/ M d) (/ 2 D))

simplify1.6s

Counts: 654 → 654

prune20.6s

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 7.6b

localize106.0ms

Local error

Found 4 expressions with local error:

10.3b	(/ (* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l))))) (* (/ l h) 2))
4.4b	(/ (/ M d) (/ 2 D))
4.4b	(/ (/ M d) (/ 2 D))
3.9b	(* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l)))))

rewrite500.0ms

Algorithm

rewrite-expression-head

Rules

1709×	`add-cbrt-cube` `add-exp-log`
868×	`cbrt-undiv` `div-exp`
843×	`times-frac`
618×	`prod-exp` `cbrt-unprod`
396×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
59×	`div-inv`
34×	`frac-times`
32×	`sqrt-div`
27×	`associate-/r` `associate-/l`
23×	`associate-*l/`
22×	`associate-*r/`
17×	`associate-/l/`
16×	`pow1`
8×	`pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/r/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 914

Calls

4 calls:

Slowest

206.0ms	(* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l)))))
193.0ms	(/ (* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l))))) (* (/ l h) 2))
12.0ms	(/ (/ M d) (/ 2 D))
11.0ms	(/ (/ M d) (/ 2 D))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

770.0ms	(/ (* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l))))) (* (/ l h) 2))
328.0ms	(* (* (/ (/ M d) (/ 2 D)) (/ (/ M d) (/ 2 D))) (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l)))))
35.0ms	(/ (/ M d) (/ 2 D))
31.0ms	(/ (/ M d) (/ 2 D))

simplify3.8s

Counts: 926 → 926

prune26.9s

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 6.7b

regimes2.8s

Accuracy

23.5% (4.7b remaining)

Error of 13.9b against oracle of 9.2b and baseline of 15.4b

bsearch29.0ms

end0.0ms

sample23.9s

Algorithm

intervals

Results

15.0s	37634×	body	80	nan
5.8s	12646×	body	80	valid