Details

sample98.0ms

Algorithm

intervals

Results

32.0ms	48×	body	1280	valid
23.0ms	57×	body	640	valid
12.0ms	157×	body	80	valid
9.0ms	32×	body	320	valid
7.0ms	113×	body	80	nan
1.0ms	8×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	2012
6	545
5	216
4	91
3	41
2	22
1	15
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
8.4b	(log (/ x (+ x y)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`associate-/r/`
7×	`pow1` `add-cbrt-cube`
4×	`associate-/r` `flip3-+` `associate-r*` `flip-+` `div-inv`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 126

Calls

3 calls:

21.0ms	(/ x (+ x y))
31.0ms	(* x (log (/ x (+ x y))))
10.0ms	(log (/ x (+ x y)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ x (+ x y))
102.0ms	(* x (log (/ x (+ x y))))
60.0ms	(log (/ x (+ x y)))

simplify1.9s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
3	3821
2	791
1	329
0	176

prune566.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.4b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune13.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
30.9b	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`log-prod`
92×	`cbrt-div`
88×	`*-un-lft-identity`
72×	`cbrt-prod`
58×	`associate-/r/`
52×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`flip3-+` `flip-+`
28×	`frac-times`
18×	`distribute-lft-out`
14×	`associate-l/` `associate-r/` `add-exp-log`
8×	`div-inv`
5×	`pow1` `div-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `prod-exp` `log-pow`

Counts

4 → 178

Calls

4 calls:

4.0ms	(cbrt (+ x y))
9.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
41.0ms	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

series646.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt (+ x y))
160.0ms	(cbrt (+ x y))
176.0ms	(cbrt (+ x y))
89.0ms	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

simplify1.6s

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
2	1689
1	892
0	398

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
30.9b	(log (/ (/ x (* (posit16->real (real->posit16 (cbrt (+ x y)))) (cbrt (+ x y)))) (cbrt (+ x y))))
57.6b	(posit16->real (real->posit16 (cbrt (+ x y))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
69×	`log-prod`
61×	`*-un-lft-identity`
44×	`cbrt-prod`
39×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`cbrt-div`
16×	`associate-/r/`
14×	`associate-*r/` `add-exp-log`
11×	`distribute-lft-out`
10×	`flip3-+` `flip-+`
8×	`div-inv`
5×	`pow1` `div-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`log-div` `prod-exp` `log-pow` `remove-posit16`

Counts

4 → 130

Calls

4 calls:

6.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
18.0ms	(log (/ (/ x (* (posit16->real (real->posit16 (cbrt (+ x y)))) (cbrt (+ x y)))) (cbrt (+ x y))))
0.0ms	(posit16->real (real->posit16 (cbrt (+ x y))))

series650.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (+ x y))
178.0ms	(cbrt (+ x y))
136.0ms	(log (/ (/ x (* (posit16->real (real->posit16 (cbrt (+ x y)))) (cbrt (+ x y)))) (cbrt (+ x y))))
190.0ms	(posit16->real (real->posit16 (cbrt (+ x y))))

simplify2.5s

Counts

142 → 142

Iterations

Iter	Nodes
done	5007
3	4468
2	1393
1	621
0	296

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.9b

regimes98.0ms

Accuracy

30.5% (5.9b remaining)

Error of 6.5b against oracle of 0.6b and baseline of 9.1b

bsearch96.0ms

Steps

Iters	Range		Point
8	29.100869698027953	73049.03827748532	74.53422455714195

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	17

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.2s	1539×	body	1280	valid
716.0ms	1467×	body	640	valid
686.0ms	4850×	body	80	valid
298.0ms	826×	body	320	valid
286.0ms	2996×	body	80	nan
76.0ms	436×	body	160	valid