Details

sample712.0ms

Algorithm

intervals

Results

459.0ms	1213×	body	80	nan
166.0ms	445×	body	80	valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
4	8692
3	1132
2	196
1	58
0	22

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.5b

localize50.0ms

Local error

Found 4 expressions with local error:

7.4b	(/ (* (* (/ M d) (/ D 2)) (* (/ M d) (/ D 2))) (* l 2))
11.3b	(sqrt (/ d h))
12.2b	(sqrt (/ d l))
12.2b	(sqrt (/ d l))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 211

Calls

4 calls:

107.0ms	(/ (* (* (/ M d) (/ D 2)) (* (/ M d) (/ D 2))) (* l 2))
4.0ms	(sqrt (/ d h))
4.0ms	(sqrt (/ d l))
4.0ms	(sqrt (/ d l))

series329.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (* (* (/ M d) (/ D 2)) (* (/ M d) (/ D 2))) (* l 2))
86.0ms	(sqrt (/ d h))
80.0ms	(sqrt (/ d l))
64.0ms	(sqrt (/ d l))

simplify2.1s

Counts

223 → 223

Iterations

Iter	Nodes
2	6125
1	1060
0	385

prune3.7s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 12.3b

localize68.0ms

Local error

Found 4 expressions with local error:

6.5b	(* (* (sqrt (/ d l)) (/ (* (* (/ M d) (/ D 2)) (* (/ M d) (/ D 2))) (* l 2))) h)
7.4b	(/ (* (* (/ M d) (/ D 2)) (* (/ M d) (/ D 2))) (* l 2))
12.2b	(sqrt (/ d l))
12.2b	(sqrt (/ d l))

rewrite727.0ms

Algorithm

rewrite-expression-head

Rules

793×	`add-cbrt-cube` `add-exp-log`
419×	`prod-exp` `cbrt-unprod`
264×	`cbrt-undiv` `div-exp`
26×	`sqrt-prod`
25×	`add-sqr-sqrt`
21×	`times-frac`
19×	`*-un-lft-identity` `add-cube-cbrt`
18×	`frac-times`
15×	`associate-*l/` `associate-/l/`
12×	`associate-*r/`
11×	`pow1`
4×	`rem-sqrt-square` `sqrt-div` `insert-posit16` `add-log-exp`
3×	`associate-r` `pow-prod-down` `div-inv`
2×	`sqrt-pow1` `pow1/2`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `associate-/l*`

Counts

4 → 311

Calls

4 calls:

640.0ms	(* (* (sqrt (/ d l)) (/ (* (* (/ M d) (/ D 2)) (* (/ M d) (/ D 2))) (* l 2))) h)
68.0ms	(/ (* (* (/ M d) (/ D 2)) (* (/ M d) (/ D 2))) (* l 2))
2.0ms	(sqrt (/ d l))
2.0ms	(sqrt (/ d l))

series515.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (* (sqrt (/ d l)) (/ (* (* (/ M d) (/ D 2)) (* (/ M d) (/ D 2))) (* l 2))) h)
90.0ms	(/ (* (* (/ M d) (/ D 2)) (* (/ M d) (/ D 2))) (* l 2))
52.0ms	(sqrt (/ d l))
73.0ms	(sqrt (/ d l))

simplify5.8s

Counts

323 → 323

Iterations

Iter	Nodes
2	10252
1	1970
0	573

prune7.2s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 11.1b

localize97.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (/ M d) (/ D 2))
6.5b	(* (* (sqrt (/ d l)) (* (/ (* (/ M d) (/ D 2)) l) (/ (* (/ M d) (/ D 2)) 2))) h)
12.2b	(sqrt (/ d l))
12.2b	(sqrt (/ d l))

rewrite788.0ms

Algorithm

rewrite-expression-head

Rules

321×	`add-cbrt-cube` `add-exp-log`
163×	`prod-exp` `cbrt-unprod`
112×	`cbrt-undiv` `div-exp`
51×	`add-sqr-sqrt`
42×	`times-frac`
33×	`*-un-lft-identity` `add-cube-cbrt`
26×	`sqrt-prod`
17×	`pow1`
16×	`associate-r`
14×	`associate-l`
11×	`associate-*l/`
7×	`pow-prod-down`
6×	`frac-times` `sqrt-div` `associate-*r/`
4×	`rem-sqrt-square` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`

Counts

4 → 202

Calls

4 calls:

22.0ms	(* (/ M d) (/ D 2))
747.0ms	(* (* (sqrt (/ d l)) (* (/ (* (/ M d) (/ D 2)) l) (/ (* (/ M d) (/ D 2)) 2))) h)
4.0ms	(sqrt (/ d l))
4.0ms	(sqrt (/ d l))

series606.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (/ M d) (/ D 2))
401.0ms	(* (* (sqrt (/ d l)) (* (/ (* (/ M d) (/ D 2)) l) (/ (* (/ M d) (/ D 2)) 2))) h)
74.0ms	(sqrt (/ d l))
72.0ms	(sqrt (/ d l))

simplify5.0s

Counts

214 → 214

Iterations

Iter	Nodes
2	9009
1	1559
0	489

prune5.0s

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 9.9b

localize97.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (/ M d) (/ D 2))
5.3b	(* (/ M d) (/ D 2))
6.5b	(* (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (* (/ (* (/ M d) (/ D 2)) l) (/ (* (/ M d) (/ D 2)) 2))) h)
12.2b	(sqrt (/ d l))

rewrite873.0ms

Algorithm

rewrite-expression-head

Rules

673×	`add-cbrt-cube` `add-exp-log`
362×	`prod-exp` `cbrt-unprod`
224×	`cbrt-undiv` `div-exp`
67×	`add-sqr-sqrt`
54×	`times-frac`
40×	`*-un-lft-identity` `add-cube-cbrt`
29×	`associate-r`
27×	`pow1` `associate-l`
15×	`pow-prod-down`
13×	`sqrt-prod`
12×	`associate-*l/`
11×	`associate-*r/`
8×	`unswap-sqr`
7×	`frac-times`
5×	`sqrt-div` `div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 303

Calls

4 calls:

24.0ms	(* (/ M d) (/ D 2))
25.0ms	(* (/ M d) (/ D 2))
801.0ms	(* (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (* (/ (* (/ M d) (/ D 2)) l) (/ (* (/ M d) (/ D 2)) 2))) h)
2.0ms	(sqrt (/ d l))

series755.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (/ M d) (/ D 2))
52.0ms	(* (/ M d) (/ D 2))
592.0ms	(* (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (* (/ (* (/ M d) (/ D 2)) l) (/ (* (/ M d) (/ D 2)) 2))) h)
72.0ms	(sqrt (/ d l))

simplify4.3s

Counts

315 → 315

Iterations

Iter	Nodes
1	2289
0	692

prune8.6s

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 6.7b

regimes3.2s

Accuracy

18.8% (2.8b remaining)

Error of 10.0b against oracle of 7.2b and baseline of 10.6b

bsearch9.0ms

simplify37.0ms

Iterations

Iter	Nodes
2	77
1	77
0	57

end0.0ms

sample23.7s

Algorithm

intervals

Results

15.6s	37899×	body	80	nan
5.8s	12689×	body	80	valid