Details

sample56.0ms

Algorithm

intervals

Results

22.0ms	49×	body	1280	valid
10.0ms	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

simplify1.9s

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	109	9
5	286	9
6	678	9
7	3440	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)

rewrite49.0ms

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×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 178

Calls

3 calls:

28.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) x)

series419.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(/ (pow (/ x (+ x y)) x) x)
40.0ms	(/ x (+ x y))
239.0ms	(pow (/ x (+ x y)) x)

simplify1.0s

Counts

187 → 187

Iterations

Useful iterations: 2 (216.0ms)

Iter	Nodes	Cost
0	282	2929
1	563	2745
2	2595	2688
done	5000	2688

prune402.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

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)

rewrite24.0ms

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×	`expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series668.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (+ x y))
125.0ms	(cbrt (+ x y))
126.0ms	(cbrt (+ x y))
285.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify3.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (530.0ms)

Iter	Nodes	Cost
0	169	1447
1	414	1340
2	1232	1268
3	4644	1247
done	5000	1247

prune314.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

0.0ms	(cbrt x)
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))

series577.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt x)
140.0ms	(cbrt (+ x y))
128.0ms	(cbrt (+ x y))
130.0ms	(cbrt (+ x y))

simplify606.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	73	584
1	152	547
2	386	517
3	1137	502
done	5001	502

prune301.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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` `expm1-log1p-u` `frac-2neg` `exp-diff` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

6.0ms

(/ (exp (- y)) x)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(/ (exp (- y)) x)

simplify1.0s

Counts

34 → 34

Iterations

Useful iterations: 3 (172.0ms)

Iter	Nodes	Cost
0	66	311
1	121	300
2	382	280
3	1854	278
done	5001	278

prune65.0ms

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

bsearch108.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	26	53
1	30	52
done	30	52

end0.0ms

sample1.7s

Algorithm

intervals

Results

657.0ms	1537×	body	1280	valid
363.0ms	1421×	body	640	valid
203.0ms	4888×	body	80	valid
138.0ms	843×	body	320	valid
88.0ms	3052×	body	80	nan
47.0ms	468×	body	160	valid