Details

sample113.0ms

Algorithm

intervals

Results

45.0ms	299×	body	80	valid
16.0ms	103×	body	80	nan

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
4	4670
3	592
2	95
1	38
0	17

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize28.0ms

Local error

Found 4 expressions with local error:

3.5b	(sqrt (- 1 (/ (/ M (/ d D)) (/ (/ l h) (/ (/ M (/ d D)) 4)))))
6.0b	(/ M (/ d D))
6.0b	(/ M (/ d D))
8.4b	(/ (/ l h) (/ (/ M (/ d D)) 4))

rewrite8.8s

Algorithm

rewrite-expression-head

Rules

8023×	`times-frac`
3485×	`add-sqr-sqrt`
3178×	`*-un-lft-identity`
3148×	`add-cube-cbrt`
330×	`div-inv`
162×	`associate-/r*`
60×	`sqrt-prod`
56×	`difference-of-squares`
46×	`add-cbrt-cube` `add-exp-log`
45×	`associate-/r/`
30×	`cbrt-undiv` `div-exp`
19×	`associate-/l*`
5×	`pow1`
4×	`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 → 2161

Calls

4 calls:

8.6s	(sqrt (- 1 (/ (/ M (/ d D)) (/ (/ l h) (/ (/ M (/ d D)) 4)))))
6.0ms	(/ M (/ d D))
13.0ms	(/ M (/ d D))
15.0ms	(/ (/ l h) (/ (/ M (/ d D)) 4))

series399.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(sqrt (- 1 (/ (/ M (/ d D)) (/ (/ l h) (/ (/ M (/ d D)) 4)))))
39.0ms	(/ M (/ d D))
46.0ms	(/ M (/ d D))
87.0ms	(/ (/ l h) (/ (/ M (/ d D)) 4))

simplify10.2s

Counts

2173 → 2173

Iterations

Iter	Nodes
1	14266
0	4156

prune40.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize45.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ l (/ M (/ d D)))
6.0b	(/ M (/ d D))
6.0b	(/ M (/ d D))
6.5b	(* (/ l (/ M (/ d D))) (/ (/ 1 h) 1/4))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

986×	`times-frac`
530×	`add-sqr-sqrt`
462×	`*-un-lft-identity`
458×	`add-cube-cbrt`
137×	`associate-l`
113×	`add-exp-log`
77×	`add-cbrt-cube`
70×	`associate-/r*`
66×	`div-exp`
44×	`div-inv`
43×	`associate-r`
42×	`cbrt-undiv`
20×	`prod-exp`
16×	`unswap-sqr`
12×	`cbrt-unprod`
11×	`associate-/r/`
9×	`associate-/l*`
6×	`pow1`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 580

Calls

4 calls:

8.0ms	(/ l (/ M (/ d D)))
6.0ms	(/ M (/ d D))
7.0ms	(/ M (/ d D))
40.0ms	(* (/ l (/ M (/ d D))) (/ (/ 1 h) 1/4))

series233.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ l (/ M (/ d D)))
38.0ms	(/ M (/ d D))
26.0ms	(/ M (/ d D))
119.0ms	(* (/ l (/ M (/ d D))) (/ (/ 1 h) 1/4))

simplify1.0s

Counts

592 → 592

Iterations

Iter	Nodes
1	2628
0	783

prune11.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.4b

localize57.0ms

Local error

Found 4 expressions with local error:

3.5b	(sqrt (- 1 (/ (* (* (cbrt M) (cbrt M)) (/ (cbrt M) (/ d D))) (* (/ l (/ M (/ d D))) (/ (/ 1 h) 1/4)))))
4.7b	(/ l (/ M (/ d D)))
6.0b	(/ M (/ d D))
6.5b	(* (/ l (/ M (/ d D))) (/ (/ 1 h) 1/4))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

911×	`times-frac`
493×	`add-sqr-sqrt`
424×	`*-un-lft-identity`
417×	`add-cube-cbrt`
137×	`associate-l`
108×	`add-exp-log`
72×	`add-cbrt-cube`
63×	`div-exp`
57×	`associate-/r*`
43×	`associate-r`
39×	`cbrt-undiv` `div-inv`
20×	`prod-exp`
16×	`unswap-sqr`
12×	`cbrt-unprod`
10×	`associate-/r/`
7×	`pow1`
6×	`sqrt-prod` `associate-/l*`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `sqrt-div` `difference-of-squares`
1×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 528

Calls

4 calls:

11.0ms	(sqrt (- 1 (/ (* (* (cbrt M) (cbrt M)) (/ (cbrt M) (/ d D))) (* (/ l (/ M (/ d D))) (/ (/ 1 h) 1/4)))))
13.0ms	(/ l (/ M (/ d D)))
12.0ms	(/ M (/ d D))
36.0ms	(* (/ l (/ M (/ d D))) (/ (/ 1 h) 1/4))

series474.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(sqrt (- 1 (/ (* (* (cbrt M) (cbrt M)) (/ (cbrt M) (/ d D))) (* (/ l (/ M (/ d D))) (/ (/ 1 h) 1/4)))))
52.0ms	(/ l (/ M (/ d D)))
34.0ms	(/ M (/ d D))
91.0ms	(* (/ l (/ M (/ d D))) (/ (/ 1 h) 1/4))

simplify1.1s

Counts

540 → 540

Iterations

Iter	Nodes
1	2731
0	829

prune11.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.4b

localize121.0ms

Local error

Found 4 expressions with local error:

6.5b	(* (* (* (cbrt (/ l (/ M (/ d D)))) (cbrt (/ l (/ M (/ d D))))) (cbrt (/ l (/ M (/ d D))))) (/ (/ 1 h) 1/4))
19.9b	(cbrt (/ l (/ M (/ d D))))
19.9b	(cbrt (/ l (/ M (/ d D))))
19.9b	(cbrt (/ l (/ M (/ d D))))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

1056×	`times-frac`
489×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
411×	`cbrt-prod`
64×	`add-exp-log`
43×	`associate-r` `div-inv`
30×	`prod-exp`
28×	`add-cbrt-cube`
27×	`cbrt-div`
18×	`div-exp` `cbrt-unprod`
17×	`frac-times` `associate-*l/`
13×	`pow1`
12×	`associate-/r/`
9×	`cbrt-undiv`
7×	`associate-*r/`
6×	`pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `pow1/3` `1-exp`
1×	`associate-l` `*-commutative`

Counts

4 → 536

Calls

4 calls:

186.0ms	(* (* (* (cbrt (/ l (/ M (/ d D)))) (cbrt (/ l (/ M (/ d D))))) (cbrt (/ l (/ M (/ d D))))) (/ (/ 1 h) 1/4))
3.0ms	(cbrt (/ l (/ M (/ d D))))
3.0ms	(cbrt (/ l (/ M (/ d D))))
3.0ms	(cbrt (/ l (/ M (/ d D))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (* (* (cbrt (/ l (/ M (/ d D)))) (cbrt (/ l (/ M (/ d D))))) (cbrt (/ l (/ M (/ d D))))) (/ (/ 1 h) 1/4))
109.0ms	(cbrt (/ l (/ M (/ d D))))
153.0ms	(cbrt (/ l (/ M (/ d D))))
161.0ms	(cbrt (/ l (/ M (/ d D))))

simplify2.4s

Counts

548 → 548

Iterations

Iter	Nodes
2	6039
1	1999
0	867

prune13.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.4b

regimes3.2s

Accuracy

0% (0.9b remaining)

Error of 8.1b against oracle of 7.3b and baseline of 8.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	22
1	22
0	18

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.2s	9293×	body	80	valid
634.0ms	3048×	body	80	nan