Details

sample62.0ms

Algorithm

intervals

Results

21.0ms	49×	body	1280	valid
11.0ms	44×	body	640	valid
9.0ms	162×	body	80	valid
4.0ms	24×	body	320	valid
3.0ms	90×	body	80	nan
1.0ms	12×	body	160	valid

simplify2.2s

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	102	9
5	239	9
6	571	9
7	1661	9
done	5001	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize7.0ms

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)

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:

5.0ms	(/ x (+ x y))
26.0ms	(/ (pow (/ x (+ x y)) x) x)
8.0ms	(pow (/ x (+ x y)) x)

series474.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ x (+ x y))
158.0ms	(/ (pow (/ x (+ x y)) x) x)
267.0ms	(pow (/ x (+ x y)) x)

simplify994.0ms

Counts

187 → 187

Iterations

Useful iterations: 2 (309.0ms)

Iter	Nodes	Cost
0	282	2929
1	552	2745
2	1623	2688
done	5000	2688

prune479.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize19.0ms

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)

rewrite21.0ms

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×	`expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `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 → 72

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
17.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series947.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt x)
210.0ms	(cbrt x)
212.0ms	(cbrt x)
310.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify1.5s

Counts

84 → 84

Iterations

Useful iterations: 3 (554.0ms)

Iter	Nodes	Cost
0	154	1147
1	368	1061
2	900	939
3	2679	921
done	5000	921

prune327.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
4.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series871.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt x)
225.0ms	(cbrt x)
216.0ms	(cbrt x)
216.0ms	(cbrt x)

simplify3.8s

Counts

64 → 64

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	26	284
1	44	268
2	85	244
3	163	232
4	382	232
5	1075	232
6	4183	232
done	5000	232

prune287.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

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` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt x)
298.0ms	(cbrt (cbrt x))
290.0ms	(cbrt (cbrt x))
287.0ms	(cbrt (cbrt x))

simplify2.5s

Counts

73 → 73

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	46	419
1	79	403
2	151	373
3	303	361
4	863	361
5	3549	361
done	5001	361

prune332.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

90.4% (0.7b remaining)

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

bsearch101.0ms

Steps

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

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	23	58
1	28	54
done	28	54

end0.0ms

sample1.7s

Algorithm

intervals

Results

629.0ms	1491×	body	1280	valid
363.0ms	1472×	body	640	valid
199.0ms	4795×	body	80	valid
141.0ms	889×	body	320	valid
91.0ms	3040×	body	80	nan
48.0ms	497×	body	160	valid