Details

sample52.0ms

Algorithm

intervals

Results

17.0ms	33×	body	1280	valid
9.0ms	205×	body	80	valid
6.0ms	23×	body	640	valid
3.0ms	89×	body	80	nan
3.0ms	16×	body	320	valid
1.0ms	10×	body	160	valid

simplify125.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	109	7
4	307	7
5	777	7
6	4136	7
7	5001	7

prune3.0ms

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: 4.6b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
7.9b	(log (/ y (+ z y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`associate-/r/`
5×	`flip3-+` `flip-+`
4×	`clear-num` `div-inv`
3×	`distribute-rgt-in` `log-div` `distribute-lft-in`
2×	`frac-2neg` `log-rec`
1×	`+-commutative` `*-commutative` `distribute-rgt-neg-out`

Counts

4 → 23

Calls

4 calls:

3.0ms	(/ y (+ z y))
4.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
4.0ms	(* y (log (/ y (+ z y))))
3.0ms	(log (/ y (+ z y)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ y (+ z y))
72.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
72.0ms	(* y (log (/ y (+ z y))))
51.0ms	(log (/ y (+ z y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	152	180
1	297	177
2	611	175
3	1482	175
4	5001	175

prune97.0ms

Filtered

35 candidates to 27 candidates (77.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	3	36

Merged error: 0.0b

Counts

36 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp (* y 0)) y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `flip3-+` `flip-+`

Counts

1 → 3

Calls

1 calls:

3.0ms

(+ x (/ (exp (* y 0)) y))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ x (/ (exp (* y 0)) y))

simplify76.0ms

Algorithm

egg-herbie

Counts

6 → 6

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	54	35
1	145	29
2	361	26
3	1116	25
4	5002	25

prune14.0ms

Filtered

6 candidates to 4 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	6	3	9

Merged error: 0.0b

Counts

9 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `exp-neg` `frac-2neg` `mul-1-neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l/`

Counts

2 → 7

Calls

2 calls:

3.0ms	(+ x (/ (exp (* -1 z)) y))
4.0ms	(/ (exp (* -1 z)) y)

series44.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ x (/ (exp (* -1 z)) y))
23.0ms	(/ (exp (* -1 z)) y)

simplify81.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	80	59
1	174	59
2	477	59
3	1918	58
4	5001	58

prune24.0ms

Filtered

13 candidates to 9 candidates (69.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1 y) (log y))
0.0b	(+ x (+ (/ 1 y) (log y)))
0.1b	(- (+ x (+ (/ 1 y) (log y))) (log z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

5×	`+-commutative`
4×	`associate-+r+` `associate--l+`
2×	`flip3-+` `flip-+`
1×	`sub-neg` `flip3--` `flip--`

Counts

3 → 16

Calls

3 calls:

4.0ms	(+ (/ 1 y) (log y))
4.0ms	(+ x (+ (/ 1 y) (log y)))
6.0ms	(- (+ x (+ (/ 1 y) (log y))) (log z))

series247.0ms

Counts

3 → 9

Calls

3 calls:

189.0ms	(+ (/ 1 y) (log y))
21.0ms	(+ x (+ (/ 1 y) (log y)))
37.0ms	(- (+ x (+ (/ 1 y) (log y))) (log z))

simplify73.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	202	170
1	618	166
2	3260	163
3	5001	155

prune51.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

regimes52.0ms

Accuracy

70.5% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.4b

bsearch36.0ms

Steps

Iters	Range		Point
8	1.2354083816328747e-12	3.3027572769117817e-09	3.261230445753836e-09

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

337.0ms	759×	body	1280	valid
308.0ms	6494×	body	80	valid
237.0ms	915×	body	640	valid
100.0ms	3070×	body	80	nan
96.0ms	549×	body	320	valid
38.0ms	353×	body	160	valid