Details

sample58.0ms

Algorithm

intervals

Results

19.0ms	40×	body	1280	valid
11.0ms	43×	body	640	valid
7.0ms	157×	body	80	valid
4.0ms	24×	body	320	valid
3.0ms	98×	body	80	nan
3.0ms	23×	body	160	valid

simplify125.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (11.0ms)

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

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 14.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ (pow (/ x (+ x y)) x) x)
8.7b	(pow (/ x (+ x y)) x)

rewrite33.0ms

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))
12.0ms	(/ (pow (/ x (+ x y)) x) x)
7.0ms	(pow (/ x (+ x y)) x)

series440.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ x (+ x y))
143.0ms	(/ (pow (/ x (+ x y)) x) x)
250.0ms	(pow (/ x (+ x y)) x)

simplify80.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (17.0ms)

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

prune382.0ms

Filtered

181 candidates to 131 candidates (72.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	3	182

Merged error: 0.3b

Counts

182 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
2.7b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
3.5b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite44.0ms

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))
15.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
16.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (+ x y))
147.0ms	(cbrt (+ x y))
502.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
309.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify84.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (67.0ms)

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

prune401.0ms

Filtered

134 candidates to 92 candidates (68.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	134	3	137

Merged error: 0.1b

Counts

137 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
2.7b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
3.8b	(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:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
11.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
8.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series662.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (+ x y))
151.0ms	(cbrt (+ x y))
283.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
81.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify76.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (57.0ms)

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

prune528.0ms

Filtered

162 candidates to 108 candidates (66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	162	3	165

Merged error: 0.1b

Counts

165 → 3

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)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (13.0ms)

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

prune59.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	29	5	34

Merged error: 0.1b

Counts

34 → 5

regimes70.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 6.0b

bsearch87.0ms

Steps

Iters	Range		Point
6	0.045458023638768046	0.475758948552502	0.46902383324435853
8	-248083013394.15396	-354043835.22092235	-658616007.7051737

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	18
1	34	18

end0.0ms

sample1.8s

Algorithm

intervals

Results

677.0ms	1488×	body	1280	valid
380.0ms	1459×	body	640	valid
223.0ms	4898×	body	80	valid
143.0ms	819×	body	320	valid
102.0ms	2954×	body	80	nan
49.0ms	455×	body	160	valid