Details

sample64.0ms

Algorithm

intervals

Results

22.0ms	51×	body	1280	valid
12.0ms	50×	body	640	valid
6.0ms	143×	body	80	valid
6.0ms	21×	body	320	valid
3.0ms	108×	body	80	nan
1.0ms	13×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	49	9
4	107	9
5	245	9
6	580	9
7	1850	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ (pow (/ x (+ x y)) x) x)
6.1b	(pow (/ x (+ x y)) x)

rewrite74.0ms

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:

10.0ms	(/ x (+ x y))
37.0ms	(/ (pow (/ x (+ x y)) x) x)
16.0ms	(pow (/ x (+ x y)) x)

series399.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ x (+ x y))
133.0ms	(/ (pow (/ x (+ x y)) x) x)
227.0ms	(pow (/ x (+ x y)) x)

simplify1.1s

Counts

187 → 187

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	282	2929
1	545	2745
2	1546	2688
done	5000	2684

prune402.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite31.0ms

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)
26.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series809.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
180.0ms	(cbrt x)
176.0ms	(cbrt x)
276.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify1.6s

Counts

84 → 84

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	154	1147
1	370	1061
2	850	939
3	2548	921
done	5000	918

prune277.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

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

series702.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (+ x y))
188.0ms	(cbrt x)
186.0ms	(cbrt x)
187.0ms	(cbrt x)

simplify1.6s

Counts

67 → 67

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	73	384
1	151	361
2	329	335
3	729	322
4	2012	322
done	5001	320

prune231.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (- y)) x)

rewrite16.0ms

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:

15.0ms

(/ (exp (- y)) x)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ (exp (- y)) x)

simplify2.2s

Counts

34 → 34

Iterations

Useful iterations: 3 (161.0ms)

Iter	Nodes	Cost
0	66	311
1	120	300
2	293	280
3	709	278
4	2815	278
done	5002	278

prune66.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes63.0ms

Accuracy

98.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 5.6b

bsearch89.0ms

Steps

Iters	Range		Point
9	8.870965552829853	38818986.17800169	15.933223639675155
7	-5.264462161218697e+40	-4.13019102165007e+38	-1.2624443392610812e+40

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	61
1	26	51
done	26	51

end0.0ms

sample1.9s

Algorithm

intervals

Results

672.0ms	1566×	body	1280	valid
378.0ms	1507×	body	640	valid
208.0ms	4806×	body	80	valid
129.0ms	788×	body	320	valid
93.0ms	3117×	body	80	nan
45.0ms	421×	body	160	valid