Details

sample62.0ms

Algorithm

intervals

Results

24.0ms	52×	body	1280	valid
13.0ms	50×	body	640	valid
6.0ms	151×	body	80	valid
5.0ms	30×	body	320	valid
3.0ms	90×	body	80	nan
1.0ms	14×	body	160	valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (8.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	106	6
4	304	4
5	774	4
6	4142	4
7	5001	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
6.5b	(pow (/ x (+ x y)) x)

rewrite30.0ms

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:

11.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
6.0ms	(pow (/ x (+ x y)) x)

series422.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(/ (pow (/ x (+ x y)) x) x)
43.0ms	(/ x (+ x y))
242.0ms	(pow (/ x (+ x y)) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	537	1436
1	2640	1406
2	5001	1406

prune394.0ms

Pruning

4 alts after pruning (4 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	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.8b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
53×	`cbrt-prod`
52×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
18×	`cbrt-div`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
7×	`pow-exp`
6×	`pow1` `pow-unpow`
5×	`div-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 122

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
11.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series846.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (+ x y))
132.0ms	(cbrt (+ x y))
282.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
294.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify62.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	728	1430
1	2240	1358
2	5003	1325

prune419.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
4.3b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
89×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
14×	`distribute-lft-out`
10×	`add-exp-log`
8×	`cbrt-div`
6×	`pow1`
4×	`flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `div-exp` `rem-log-exp` `pow-exp` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 150

Calls

4 calls:

7.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
11.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
7.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series622.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (+ x y))
132.0ms	(cbrt (+ x y))
285.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
71.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify64.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	636	1630
1	2004	1594
2	5001	1523

prune545.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 y)) x)

rewrite5.0ms

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`
1×	`pow1` `cbrt-undiv` `exp-neg` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

4.0ms

(/ (exp (* -1 y)) x)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(/ (exp (* -1 y)) x)

simplify48.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	114	186
1	303	172
2	1465	170
3	5003	170

prune59.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

94.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.8b

bsearch98.0ms

Steps

Iters	Range		Point
6	2.289162948056721e-13	9.558161037350472e-13	9.412915699220923e-13
10	-6.938135508519794e+66	-3.577435419261512e+48	-7.036642738480878e+48

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	18
1	33	18

end0.0ms

sample1.7s

Algorithm

intervals

Results

631.0ms	1476×	body	1280	valid
355.0ms	1438×	body	640	valid
201.0ms	4878×	body	80	valid
137.0ms	874×	body	320	valid
88.0ms	3027×	body	80	nan
41.0ms	423×	body	160	valid