Details

sample94.0ms

Algorithm

intervals

Results

33.0ms	53×	body	1280	valid
13.0ms	37×	body	640	valid
10.0ms	161×	body	80	valid
6.0ms	26×	body	320	valid
5.0ms	104×	body	80	nan
3.0ms	19×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	2074
5	506
4	151
3	52
2	24
1	15
0	8

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ y x)) x) x)
0.0b	(/ x (+ y x))
5.7b	(pow (/ x (+ y x)) x)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`associate-/r*` `add-cbrt-cube` `div-exp` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg`
1×	`pow-pow`

Counts

3 → 178

Calls

3 calls:

52.0ms	(/ (pow (/ x (+ y x)) x) x)
9.0ms	(/ x (+ y x))
11.0ms	(pow (/ x (+ y x)) x)

series553.0ms

Counts

3 → 9

Calls

3 calls:

193.0ms	(/ (pow (/ x (+ y x)) x) x)
53.0ms	(/ x (+ y x))
306.0ms	(pow (/ x (+ y x)) x)

simplify1.6s

Counts

187 → 187

Iterations

Iter	Nodes
done	5002
2	2899
1	667
0	282

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize93.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt x)
7.0ms	(cbrt (+ x y))
7.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))

series826.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt x)
181.0ms	(cbrt (+ x y))
168.0ms	(cbrt (+ x y))
194.0ms	(cbrt (+ x y))

simplify1.0s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	1881
2	499
1	153
0	73

prune649.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(cbrt (+ x y))
14.0ms	(cbrt (+ x y))

series888.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt x)
274.0ms	(cbrt x)
184.0ms	(cbrt (+ x y))
204.0ms	(cbrt (+ x y))

simplify971.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	1881
2	499
1	153
0	73

prune762.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize101.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
5.8b	(cbrt (/ x (+ x y)))
5.8b	(cbrt (/ x (+ x y)))
5.8b	(cbrt (/ x (+ x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
47×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`distribute-lft-out`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3-+` `flip-+` `div-inv`

Counts

4 → 100

Calls

4 calls:

1.0ms	(cbrt x)
16.0ms	(cbrt (/ x (+ x y)))
9.0ms	(cbrt (/ x (+ x y)))
9.0ms	(cbrt (/ x (+ x y)))

series771.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt x)
183.0ms	(cbrt (/ x (+ x y)))
149.0ms	(cbrt (/ x (+ x y)))
168.0ms	(cbrt (/ x (+ x y)))

simplify787.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
3	1282
2	370
1	170
0	101

prune687.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes161.0ms

Accuracy

80.6% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 6.5b

bsearch153.0ms

Steps

Iters	Range		Point
6	1698412.1750747235	9645967.64350026	1719139.2202338078
7	-3.1422350234624783e+87	-6.357458366051419e+85	-1.782408069109436e+86

simplify5.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	1487×	body	1280	valid
628.0ms	1478×	body	640	valid
525.0ms	4880×	body	80	valid
232.0ms	3085×	body	80	nan
228.0ms	836×	body	320	valid
127.0ms	459×	body	160	valid