Details

sample58.0ms

Algorithm

intervals

Results

21.0ms	49×	body	1280	valid
11.0ms	44×	body	640	valid
7.0ms	162×	body	80	valid
4.0ms	24×	body	320	valid
3.0ms	90×	body	80	nan
1.0ms	12×	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	100	9
5	235	9
6	543	9
7	1636	9
done	5001	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ (pow (/ x (+ x y)) x) x)
7.9b	(pow (/ x (+ x y)) x)

rewrite52.0ms

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:

5.0ms	(/ x (+ x y))
29.0ms	(/ (pow (/ x (+ x y)) x) x)
8.0ms	(pow (/ x (+ x y)) x)

series494.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ x (+ x y))
163.0ms	(/ (pow (/ x (+ x y)) x) x)
279.0ms	(pow (/ x (+ x y)) x)

simplify899.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (289.0ms)

Iter	Nodes	Cost
0	276	2881
1	536	2708
2	1561	2650
done	5000	2650

prune478.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.5b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
16.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series983.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt x)
211.0ms	(cbrt x)
221.0ms	(cbrt x)
340.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify1.4s

Counts

76 → 76

Iterations

Useful iterations: 3 (484.0ms)

Iter	Nodes	Cost
0	150	1093
1	357	1017
2	856	899
3	2455	878
done	5000	878

prune300.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series817.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt x)
211.0ms	(cbrt x)
207.0ms	(cbrt x)
208.0ms	(cbrt x)

simplify3.6s

Counts

56 → 56

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	24	260
1	42	244
2	83	220
3	161	208
4	369	208
5	1062	208
6	4138	208
done	5001	208

prune204.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

0.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.3s

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt x)
287.0ms	(cbrt (cbrt x))
272.0ms	(cbrt (cbrt x))
524.0ms	(cbrt (cbrt x))

simplify2.4s

Counts

65 → 65

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	42	389
1	75	370
2	147	340
3	306	328
4	845	328
5	3485	328
done	5000	328

prune265.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

90.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 7.0b

bsearch103.0ms

Steps

Iters	Range		Point
8	0.44834868164545755	179.5191949529741	6.441277885744034
10	-3540160029299381.0	-1.204215327568116	-7.1506444135661775

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	21	56
1	26	52
done	26	52

end0.0ms

sample1.8s

Algorithm

intervals

Results

652.0ms	1491×	body	1280	valid
373.0ms	1472×	body	640	valid
211.0ms	4795×	body	80	valid
144.0ms	889×	body	320	valid
96.0ms	3040×	body	80	nan
56.0ms	497×	body	160	valid