Details

sample59.0ms

Algorithm

intervals

Results

25.0ms	61×	body	1280	valid
10.0ms	39×	body	640	valid
6.0ms	156×	body	80	valid
3.0ms	21×	body	320	valid
3.0ms	90×	body	80	nan
1.0ms	9×	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

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: 11.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
5.8b	(pow (/ x (+ x y)) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/l*`
2×	`flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 66

Calls

2 calls:

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

series269.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ x (+ x y))
227.0ms	(pow (/ x (+ x y)) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	309	402
1	1244	387
2	5002	386

prune147.0ms

Filtered

72 candidates to 50 candidates (69.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 0.5b

Counts

73 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(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×	`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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series802.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt x)
174.0ms	(cbrt x)
182.0ms	(cbrt x)
273.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify145.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	367	613
1	1117	573
2	4414	551
3	5001	551

prune238.0ms

Filtered

76 candidates to 58 candidates (76.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	77	3	80

Merged error: 0b

Counts

80 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.6b	(cbrt x)
0.6b	(cbrt x)
2.6b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
48×	`log-prod` `*-un-lft-identity`
42×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log` `distribute-lft-out`
5×	`pow1`
4×	`cbrt-div` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `rem-log-exp` `associate-/r/` `flip-+`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt (+ x y))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
8.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series567.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ x y))
177.0ms	(cbrt x)
191.0ms	(cbrt x)
71.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify138.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	360	861
1	982	830
2	4123	810
3	5001	810

prune428.0ms

Filtered

107 candidates to 88 candidates (82.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize4.0ms

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

prune57.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Merged error: 0b

Counts

34 → 3

regimes56.0ms

Accuracy

99.6% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 5.7b

bsearch83.0ms

Steps

Iters	Range		Point
9	0.0014765281187882199	322798.86593566654	6.015440873046695
9	-0.4506066524886072	-1.4365382038701608e-08	-0.4445338161431805

simplify2.0ms

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

673.0ms	1551×	body	1280	valid
365.0ms	1470×	body	640	valid
206.0ms	4855×	body	80	valid
133.0ms	827×	body	320	valid
92.0ms	3076×	body	80	nan
40.0ms	396×	body	160	valid