Details

sample23.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true
4.0ms	248×	pre	80	false

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	12	3
2	12	3

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 8.2b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
7.3b	(- (/ x0 (- 1.0 x1)) x0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-/r/`
3×	`flip3--` `fma-neg` `flip--`
2×	`div-inv`
1×	`sub-neg` `frac-2neg` `clear-num`

Counts

2 → 12

Calls

2 calls:

3.0ms	(/ x0 (- 1.0 x1))
5.0ms	(- (/ x0 (- 1.0 x1)) x0)

series79.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ x0 (- 1.0 x1))
46.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify105.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	145	92
1	423	88
2	1364	82
3	4088	77
4	5001	77

prune34.0ms

Filtered

18 candidates to 15 candidates (83.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	2	19

Merged error: 6.6b

Counts

19 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (/ x0 (- 1.0 x1)) x0)
1.0b	(/ x0 (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
5.8b	(- (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) x0)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/r/`
5×	`flip3--` `flip--`
4×	`div-inv`
3×	`fma-def` `fma-neg`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `sub-neg` `flip3-+` `flip-+`

Counts

4 → 23

Calls

4 calls:

4.0ms	(+ (/ x0 (- 1.0 x1)) x0)
3.0ms	(/ x0 (- 1.0 x1))
3.0ms	(/ x0 (- 1.0 x1))
7.0ms	(- (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) x0)

series177.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (/ x0 (- 1.0 x1)) x0)
38.0ms	(/ x0 (- 1.0 x1))
33.0ms	(/ x0 (- 1.0 x1))
70.0ms	(- (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) x0)

simplify51.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	205	190
1	594	182
2	1812	173
3	5001	165

prune208.0ms

Filtered

35 candidates to 30 candidates (85.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Merged error: 5.1b

Counts

37 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
4.2b	(- (pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 3) (pow x0 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-/r/`
10×	`prod-diff` `sqr-pow`
9×	`unpow-prod-down`
8×	`unpow3`
7×	`flip3--` `flip--`
6×	`div-inv`
5×	`fma-neg`
3×	`frac-2neg` `clear-num`
1×	`difference-cubes` `sub-neg` `difference-of-squares`

Counts

4 → 36

Calls

4 calls:

3.0ms	(/ x0 (- 1.0 x1))
3.0ms	(/ x0 (- 1.0 x1))
3.0ms	(/ x0 (- 1.0 x1))
8.0ms	(- (pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 3) (pow x0 3))

series198.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ x0 (- 1.0 x1))
35.0ms	(/ x0 (- 1.0 x1))
33.0ms	(/ x0 (- 1.0 x1))
97.0ms	(- (pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 3) (pow x0 3))

simplify36.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	283	413
1	1002	339
2	5001	311

prune147.0ms

Filtered

48 candidates to 37 candidates (77.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	48	2	50

Merged error: 4.4b

Counts

50 → 2

localize30.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
1.3b	(pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 6)
4.1b	(- (pow (pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 3) 3) (pow (pow x0 3) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
33×	`sqr-pow`
28×	`prod-diff`
24×	`unpow3`
16×	`associate-/r/`
9×	`flip3--` `flip--`
8×	`div-inv`
7×	`fma-neg`
4×	`difference-of-squares`
2×	`frac-2neg` `clear-num`
1×	`difference-cubes` `pow-to-exp` `sub-neg`

Counts

4 → 59

Calls

4 calls:

3.0ms	(/ x0 (- 1.0 x1))
3.0ms	(/ x0 (- 1.0 x1))
4.0ms	(pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 6)
11.0ms	(- (pow (pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 3) 3) (pow (pow x0 3) 3))

series313.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ x0 (- 1.0 x1))
35.0ms	(/ x0 (- 1.0 x1))
93.0ms	(pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 6)
151.0ms	(- (pow (pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 3) 3) (pow (pow x0 3) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	506	1170
1	1795	833
2	5001	824

prune245.0ms

Filtered

71 candidates to 42 candidates (59.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	71	2	73

Merged error: 3.5b

Counts

73 → 2

regimes40.0ms

Accuracy

0% (0.7b remaining)

Error of 4.2b against oracle of 3.5b and baseline of 4.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	52
1	29	52

end0.0ms

sample647.0ms

Algorithm

intervals

Results

141.0ms	8000×	body	80	valid
131.0ms	8053×	pre	80	false
122.0ms	8000×	pre	80	true