Details

sample98.0ms

Algorithm

intervals

Results

54.0ms	299×	body	80	valid
14.0ms	99×	body	80	nan

simplify1.3s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.5b

localize26.0ms

Local error

Found 4 expressions with local error:

3.5b	(sqrt (- 1 (/ (/ (/ h l) (/ d (/ (* M D) 2))) (/ d (/ (* M D) 2)))))
6.6b	(/ d (/ (* M D) 2))
6.6b	(/ d (/ (* M D) 2))
8.4b	(/ (/ h l) (/ d (/ (* M D) 2)))

rewrite782.0ms

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:

724.0ms	(sqrt (- 1 (/ (/ (/ h l) (/ d (/ (* M D) 2))) (/ d (/ (* M D) 2)))))
14.0ms	(/ d (/ (* M D) 2))
14.0ms	(/ d (/ (* M D) 2))
17.0ms	(/ (/ h l) (/ d (/ (* M D) 2)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(sqrt (- 1 (/ (/ (/ h l) (/ d (/ (* M D) 2))) (/ d (/ (* M D) 2)))))
52.0ms	(/ d (/ (* M D) 2))
49.0ms	(/ d (/ (* M D) 2))
116.0ms	(/ (/ h l) (/ d (/ (* M D) 2)))

simplify2.4s

Counts

555 → 555

Iterations

Iter	Nodes
done	5001
1	3160
0	989

prune4.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.2b

localize28.0ms

Local error

Found 4 expressions with local error:

6.0b	(/ h (* (/ d (/ (* M D) 2)) l))
6.0b	(* (/ d (/ (* M D) 2)) l)
6.6b	(/ d (/ (* M D) 2))
6.6b	(/ d (/ (* M D) 2))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

100×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cbrt-cube` `add-exp-log`
53×	`*-un-lft-identity` `add-cube-cbrt`
26×	`associate-l`
25×	`cbrt-undiv` `div-exp`
15×	`associate-/r*` `div-inv`
12×	`prod-exp` `cbrt-unprod`
9×	`associate-/l*`
6×	`pow1`
4×	`associate-/r/` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r`
2×	`associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 177

Calls

4 calls:

16.0ms	(/ h (* (/ d (/ (* M D) 2)) l))
36.0ms	(* (/ d (/ (* M D) 2)) l)
14.0ms	(/ d (/ (* M D) 2))
14.0ms	(/ d (/ (* M D) 2))

series237.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ h (* (/ d (/ (* M D) 2)) l))
78.0ms	(* (/ d (/ (* M D) 2)) l)
35.0ms	(/ d (/ (* M D) 2))
30.0ms	(/ d (/ (* M D) 2))

simplify1.6s

Counts

189 → 189

Iterations

Iter	Nodes
done	5016
2	2509
1	603
0	217

prune1.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.1b

localize87.0ms

Local error

Found 4 expressions with local error:

6.6b	(/ d (/ (* M D) 2))
13.2b	(cbrt (/ (* M D) 2))
13.2b	(cbrt (/ (* M D) 2))
13.2b	(cbrt (/ (* M D) 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-prod`
13×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
1×	`clear-num` `frac-2neg` `prod-exp` `associate-/r/` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

7.0ms	(/ d (/ (* M D) 2))
2.0ms	(cbrt (/ (* M D) 2))
2.0ms	(cbrt (/ (* M D) 2))
2.0ms	(cbrt (/ (* M D) 2))

series520.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ d (/ (* M D) 2))
171.0ms	(cbrt (/ (* M D) 2))
154.0ms	(cbrt (/ (* M D) 2))
155.0ms	(cbrt (/ (* M D) 2))

simplify1.7s

Counts

112 → 112

Iterations

Iter	Nodes
done	5005
2	1363
1	383
0	157

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.1b

localize94.0ms

Local error

Found 4 expressions with local error:

6.9b	(* d (/ 1 (/ (* M D) 2)))
13.2b	(cbrt (/ (* M D) 2))
13.2b	(cbrt (/ (* M D) 2))
13.2b	(cbrt (/ (* M D) 2))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

41×	`times-frac`
36×	`add-exp-log`
32×	`add-sqr-sqrt`
26×	`-un-lft-identity` `associate-r*`
25×	`add-cube-cbrt`
21×	`cbrt-prod`
18×	`add-cbrt-cube`
13×	`prod-exp`
12×	`div-exp`
7×	`div-inv`
6×	`pow1`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `cbrt-div` `pow1/3` `1-exp` `associate-l` `unswap-sqr`
1×	`pow-prod-down` `associate-r/` `associate-/r/` `un-div-inv` `-commutative`

Counts

4 → 109

Calls

4 calls:

28.0ms	(* d (/ 1 (/ (* M D) 2)))
2.0ms	(cbrt (/ (* M D) 2))
2.0ms	(cbrt (/ (* M D) 2))
2.0ms	(cbrt (/ (* M D) 2))

series504.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* d (/ 1 (/ (* M D) 2)))
147.0ms	(cbrt (/ (* M D) 2))
180.0ms	(cbrt (/ (* M D) 2))
133.0ms	(cbrt (/ (* M D) 2))

simplify1.7s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	1292
1	477
0	188

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.1b

regimes1.3s

Accuracy

0% (0.6b remaining)

Error of 8.1b against oracle of 7.5b and baseline of 8.1b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.9s	9369×	body	80	valid
948.0ms	3123×	body	80	nan