Details

sample93.0ms

Algorithm

intervals

Results

50.0ms	304×	body	80	valid
17.0ms	98×	body	80	nan

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	592
2	95
1	38
0	17

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.9b

localize43.0ms

Local error

Found 4 expressions with local error:

4.0b	(sqrt (- 1 (/ (/ (/ h l) (/ d (/ (* M D) 2))) (/ d (/ (* M D) 2)))))
4.7b	(/ d (/ (* M D) 2))
4.7b	(/ d (/ (* M D) 2))
7.7b	(/ (/ h l) (/ d (/ (* M D) 2)))

rewrite725.0ms

Algorithm

rewrite-expression-head

Rules

1129×	`times-frac`
518×	`add-sqr-sqrt`
435×	`*-un-lft-identity`
422×	`add-cube-cbrt`
94×	`div-inv`
54×	`add-cbrt-cube` `add-exp-log`
40×	`associate-/r*`
32×	`cbrt-undiv` `div-exp`
26×	`sqrt-prod`
22×	`difference-of-squares`
19×	`associate-/l*`
17×	`associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 543

Calls

4 calls:

679.0ms	(sqrt (- 1 (/ (/ (/ h l) (/ d (/ (* M D) 2))) (/ d (/ (* M D) 2)))))
7.0ms	(/ d (/ (* M D) 2))
7.0ms	(/ d (/ (* M D) 2))
16.0ms	(/ (/ h l) (/ d (/ (* M D) 2)))

series800.0ms

Counts

4 → 12

Calls

4 calls:

619.0ms	(sqrt (- 1 (/ (/ (/ h l) (/ d (/ (* M D) 2))) (/ d (/ (* M D) 2)))))
29.0ms	(/ d (/ (* M D) 2))
50.0ms	(/ d (/ (* M D) 2))
102.0ms	(/ (/ h l) (/ d (/ (* M D) 2)))

simplify2.4s

Counts

555 → 555

Iterations

Iter	Nodes
done	5001
1	3160
0	989

prune5.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.9b

localize38.0ms

Local error

Found 4 expressions with local error:

4.0b	(sqrt (- 1 (/ (/ h (/ (/ d (/ (* M D) 2)) (/ 1 l))) (/ d (/ (* M D) 2)))))
4.7b	(/ d (/ (* M D) 2))
4.7b	(/ d (/ (* M D) 2))
6.2b	(/ h (/ (/ d (/ (* M D) 2)) (/ 1 l)))

rewrite2.8s

Algorithm

rewrite-expression-head

Rules

5071×	`times-frac`
2013×	`add-sqr-sqrt`
1868×	`*-un-lft-identity`
1841×	`add-cube-cbrt`
357×	`associate-/r*`
327×	`div-inv`
100×	`add-exp-log`
71×	`div-exp`
64×	`add-cbrt-cube`
59×	`associate-/r/`
41×	`cbrt-undiv`
38×	`sqrt-prod`
34×	`difference-of-squares`
9×	`associate-/l*`
6×	`prod-exp`
5×	`pow1`
4×	`rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `flip--` `distribute-lft-out--`

Counts

4 → 1562

Calls

4 calls:

2.6s	(sqrt (- 1 (/ (/ h (/ (/ d (/ (* M D) 2)) (/ 1 l))) (/ d (/ (* M D) 2)))))
7.0ms	(/ d (/ (* M D) 2))
14.0ms	(/ d (/ (* M D) 2))
25.0ms	(/ h (/ (/ d (/ (* M D) 2)) (/ 1 l)))

series539.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(sqrt (- 1 (/ (/ h (/ (/ d (/ (* M D) 2)) (/ 1 l))) (/ d (/ (* M D) 2)))))
50.0ms	(/ d (/ (* M D) 2))
50.0ms	(/ d (/ (* M D) 2))
141.0ms	(/ h (/ (/ d (/ (* M D) 2)) (/ 1 l)))

simplify6.9s

Counts

1574 → 1574

Iterations

Iter	Nodes
done	5000
0	3089

prune11.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.9b

localize43.0ms

Local error

Found 4 expressions with local error:

4.0b	(sqrt (- 1 (/ (/ h (/ (/ d (/ (* M D) 2)) (/ 1 l))) (* d (/ 1 (/ (* M D) 2))))))
4.7b	(/ d (/ (* M D) 2))
4.9b	(* d (/ 1 (/ (* M D) 2)))
6.2b	(/ h (/ (/ d (/ (* M D) 2)) (/ 1 l)))

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

4942×	`times-frac`
1851×	`add-sqr-sqrt`
1844×	`*-un-lft-identity`
1840×	`add-cube-cbrt`
350×	`associate-/r*`
326×	`div-inv`
123×	`add-exp-log`
78×	`div-exp`
69×	`add-cbrt-cube`
59×	`associate-/r/`
41×	`cbrt-undiv`
26×	`associate-r`
18×	`prod-exp`
8×	`cbrt-unprod`
7×	`pow1` `rec-exp` `1-exp`
6×	`sqrt-prod` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`clear-num` `frac-2neg` `sqrt-div` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 1539

Calls

4 calls:

184.0ms	(sqrt (- 1 (/ (/ h (/ (/ d (/ (* M D) 2)) (/ 1 l))) (* d (/ 1 (/ (* M D) 2))))))
10.0ms	(/ d (/ (* M D) 2))
27.0ms	(* d (/ 1 (/ (* M D) 2)))
28.0ms	(/ h (/ (/ d (/ (* M D) 2)) (/ 1 l)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(sqrt (- 1 (/ (/ h (/ (/ d (/ (* M D) 2)) (/ 1 l))) (* d (/ 1 (/ (* M D) 2))))))
35.0ms	(/ d (/ (* M D) 2))
41.0ms	(* d (/ 1 (/ (* M D) 2)))
114.0ms	(/ h (/ (/ d (/ (* M D) 2)) (/ 1 l)))

simplify5.7s

Counts

1551 → 1551

Iterations

Iter	Nodes
done	5001
0	3027

prune14.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.9b

localize56.0ms

Local error

Found 4 expressions with local error:

6.2b	(/ h (/ (/ d (/ (* M D) 2)) (/ 1 l)))
13.4b	(cbrt (/ 1 (/ (* M D) 2)))
13.4b	(cbrt (/ 1 (/ (* M D) 2)))
13.4b	(cbrt (/ 1 (/ (* M D) 2)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

4967×	`times-frac`
1850×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
343×	`associate-/r*`
329×	`div-inv`
82×	`add-exp-log`
78×	`cbrt-prod`
61×	`div-exp`
60×	`associate-/r/`
46×	`add-cbrt-cube`
31×	`cbrt-undiv`
4×	`pow1` `rec-exp` `1-exp` `prod-exp` `insert-posit16` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`cbrt-unprod`
1×	`clear-num` `frac-2neg`

Counts

4 → 1521

Calls

4 calls:

16.0ms	(/ h (/ (/ d (/ (* M D) 2)) (/ 1 l)))
5.0ms	(cbrt (/ 1 (/ (* M D) 2)))
5.0ms	(cbrt (/ 1 (/ (* M D) 2)))
5.0ms	(cbrt (/ 1 (/ (* M D) 2)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ h (/ (/ d (/ (* M D) 2)) (/ 1 l)))
164.0ms	(cbrt (/ 1 (/ (* M D) 2)))
120.0ms	(cbrt (/ 1 (/ (* M D) 2)))
125.0ms	(cbrt (/ 1 (/ (* M D) 2)))

simplify6.1s

Counts

1533 → 1533

Iterations

Iter	Nodes
done	5001
0	2999

prune16.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.8b

regimes1.2s

Accuracy

0% (0.5b remaining)

Error of 8.0b against oracle of 7.5b and baseline of 8.0b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.2s	9250×	body	80	valid
658.0ms	3040×	body	80	nan