Details

sample634.0ms

Algorithm

intervals

Results

395.0ms	1149×	body	80	nan
159.0ms	418×	body	80	valid

simplify3.9s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.0b

localize78.0ms

Local error

Found 4 expressions with local error:

7.0b	(* (/ M d) (/ D 2))
9.8b	(sqrt (/ d l))
9.8b	(sqrt (/ d l))
9.9b	(sqrt (/ d h))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
52×	`times-frac`
39×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `associate-l`
9×	`pow1`
6×	`rem-sqrt-square`
5×	`div-inv`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`sqrt-pow1` `pow1/2` `sqrt-div`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 129

Calls

4 calls:

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

series260.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (/ M d) (/ D 2))
89.0ms	(sqrt (/ d l))
75.0ms	(sqrt (/ d l))
63.0ms	(sqrt (/ d h))

simplify2.6s

Counts

141 → 141

Iterations

Iter	Nodes
3	5925
2	1758
1	573
0	246

prune2.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.2b

localize75.0ms

Local error

Found 4 expressions with local error:

7.0b	(* (/ M d) (/ D 2))
7.0b	(* (/ M d) (/ D 2))
9.8b	(sqrt (/ d l))
9.8b	(sqrt (/ d l))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
64×	`times-frac`
46×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
26×	`associate-r` `associate-l` `sqrt-prod`
10×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`div-inv`
4×	`rem-sqrt-square` `insert-posit16` `add-log-exp`
2×	`frac-times` `sqrt-pow1` `pow1/2` `sqrt-div` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 154

Calls

4 calls:

14.0ms	(* (/ M d) (/ D 2))
25.0ms	(* (/ M d) (/ D 2))
4.0ms	(sqrt (/ d l))
4.0ms	(sqrt (/ d l))

series614.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (/ M d) (/ D 2))
36.0ms	(* (/ M d) (/ D 2))
63.0ms	(sqrt (/ d l))
466.0ms	(sqrt (/ d l))

simplify2.1s

Counts

166 → 166

Iterations

Iter	Nodes
3	5246
2	1505
1	454
0	185

prune3.7s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 12.0b

localize112.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (sqrt (/ d l)) (/ (* (* (/ M d) (/ D 2)) (* (/ M d) (/ D 2))) (* l 2)))
7.0b	(* (/ M d) (/ D 2))
7.0b	(* (/ M d) (/ D 2))
9.8b	(sqrt (/ d l))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

422×	`add-cbrt-cube` `add-exp-log`
217×	`prod-exp` `cbrt-unprod`
140×	`cbrt-undiv` `div-exp`
82×	`add-sqr-sqrt`
65×	`times-frac`
48×	`*-un-lft-identity` `add-cube-cbrt`
42×	`associate-l`
31×	`associate-r`
28×	`sqrt-prod`
11×	`pow1` `unswap-sqr`
7×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`frac-times` `sqrt-div` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`
2×	`rem-sqrt-square`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 271

Calls

4 calls:

201.0ms	(* (sqrt (/ d l)) (/ (* (* (/ M d) (/ D 2)) (* (/ M d) (/ D 2))) (* l 2)))
32.0ms	(* (/ M d) (/ D 2))
25.0ms	(* (/ M d) (/ D 2))
4.0ms	(sqrt (/ d l))

series393.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (sqrt (/ d l)) (/ (* (* (/ M d) (/ D 2)) (* (/ M d) (/ D 2))) (* l 2)))
40.0ms	(* (/ M d) (/ D 2))
33.0ms	(* (/ M d) (/ D 2))
72.0ms	(sqrt (/ d l))

simplify4.9s

Counts

283 → 283

Iterations

Iter	Nodes
2	9760
1	1596
0	502

prune7.1s

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 9.1b

localize92.0ms

Local error

Found 4 expressions with local error:

3.7b	(/ (* (/ M d) (/ D 2)) l)
7.0b	(* (/ M d) (/ D 2))
7.0b	(* (/ M d) (/ D 2))
9.8b	(sqrt (/ d l))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
57×	`times-frac`
46×	`add-cbrt-cube` `add-exp-log`
41×	`*-un-lft-identity` `add-cube-cbrt`
26×	`associate-r` `associate-l`
17×	`cbrt-undiv` `div-exp`
13×	`sqrt-prod`
12×	`prod-exp` `cbrt-unprod`
9×	`pow1`
8×	`unswap-sqr`
6×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`frac-times` `associate-/r` `associate-l/` `associate-*r/` `associate-/l/`
2×	`rem-sqrt-square` `pow-prod-down` `*-commutative`
1×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `associate-/l*`

Counts

4 → 159

Calls

4 calls:

13.0ms	(/ (* (/ M d) (/ D 2)) l)
12.0ms	(* (/ M d) (/ D 2))
13.0ms	(* (/ M d) (/ D 2))
2.0ms	(sqrt (/ d l))

series208.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (* (/ M d) (/ D 2)) l)
55.0ms	(* (/ M d) (/ D 2))
32.0ms	(* (/ M d) (/ D 2))
71.0ms	(sqrt (/ d l))

simplify554.0ms

Counts

171 → 171

Iterations

Iter	Nodes
2	2038
1	574
0	225

prune4.5s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 7.9b

regimes2.8s

Accuracy

32.6% (2.2b remaining)

Error of 9.7b against oracle of 7.5b and baseline of 10.7b

bsearch8.0ms

simplify45.0ms

Iterations

Iter	Nodes
2	86
1	86
0	64

end0.0ms

sample24.3s

Algorithm

intervals

Results

15.8s	38172×	body	80	nan
5.5s	12835×	body	80	valid