Details

sample56.0ms

Algorithm

intervals

Results

22.0ms	49×	body	1280	valid
9.0ms	39×	body	640	valid
6.0ms	150×	body	80	valid
4.0ms	27×	body	320	valid
2.0ms	76×	body	80	nan
2.0ms	15×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	51	9
4	107	9
5	282	9
6	651	9
7	3357	9
done	5000	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
5.2b	(pow (/ x (+ x y)) x)

rewrite46.0ms

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×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

22.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) x)

series414.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(/ (pow (/ x (+ x y)) x) x)
46.0ms	(/ x (+ x y))
231.0ms	(pow (/ x (+ x y)) x)

simplify993.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (201.0ms)

Iter	Nodes	Cost
0	276	2881
1	546	2708
2	2542	2650
done	5000	2650

prune397.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
1.8b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
17×	`add-exp-log`
15×	`*-un-lft-identity`
13×	`unpow-prod-down`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `flip-+`
8×	`associate-/r/`
5×	`pow1` `pow-exp`
4×	`frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3` `distribute-lft-out`
2×	`associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-pow` `times-frac` `div-inv` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
14.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series727.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (+ x y))
137.0ms	(cbrt (+ x y))
171.0ms	(cbrt (+ x y))
288.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify3.3s

Counts

85 → 85

Iterations

Useful iterations: 3 (529.0ms)

Iter	Nodes	Cost
0	165	1381
1	401	1290
2	1173	1218
3	4334	1197
done	5000	1197

prune303.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
4.0b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

56×	`cbrt-prod`
50×	`*-un-lft-identity`
48×	`log-prod`
42×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
7×	`add-exp-log`
6×	`cbrt-div`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 98

Calls

4 calls:

0.0ms	(cbrt x)
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series509.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
130.0ms	(cbrt (+ x y))
125.0ms	(cbrt (+ x y))
74.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify1.2s

Counts

110 → 110

Iterations

Useful iterations: 3 (350.0ms)

Iter	Nodes	Cost
0	192	1451
1	360	1376
2	868	1295
3	2943	1252
done	5000	1252

prune387.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (exp (- y)) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`pow1` `cbrt-undiv` `neg-sub0` `exp-neg` `frac-2neg` `exp-diff` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/ (exp (- y)) x)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(/ (exp (- y)) x)

simplify960.0ms

Counts

32 → 32

Iterations

Useful iterations: 3 (159.0ms)

Iter	Nodes	Cost
0	64	299
1	118	289
2	376	269
3	1830	267
done	5000	267

prune55.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

99.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 5.9b

bsearch110.0ms

Steps

Iters	Range		Point
9	0.017333574491892035	22276.40736340321	6065.989650930309
9	-3.2013068739419726e+46	-1.4117878169014387e+41	-3.987962172812385e+42

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	44
1	34	44
done	34	44

end0.0ms

sample1.7s

Algorithm

intervals

Results

644.0ms	1537×	body	1280	valid
340.0ms	1421×	body	640	valid
197.0ms	4888×	body	80	valid
130.0ms	843×	body	320	valid
87.0ms	3052×	body	80	nan
49.0ms	468×	body	160	valid