Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	71	10
2	184	10
3	381	10
4	682	10
5	1102	10
6	2122	10
7	4337	10
8	5001	10

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: 26.5b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
24.8b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
7×	`flip3-+` `flip-+`
4×	`frac-add`
2×	`+-commutative` `flip3--` `associate--l+` `associate-/r/` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `div-sub` `clear-num` `*-commutative` `div-inv`

Counts

4 → 24

Calls

4 calls:

3.0ms	(* (+ x y) z)
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
12.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series806.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ x y) z)
103.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
54.0ms	(+ (* (+ x y) z) (* (+ t y) a))
628.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	334	318
1	1383	316
2	5003	315

prune153.0ms

Filtered

36 candidates to 30 candidates (83.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	27	9	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	10	37

Merged error: 9.1b

Counts

37 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
24.8b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
8×	`associate-*l/`
7×	`flip3-+` `flip-+`
4×	`frac-add` `clear-num` `associate-/l/`
3×	`flip3--` `frac-2neg` `associate-/r*` `flip--` `div-inv`
2×	`+-commutative` `associate--l+`
1×	`sub-neg` `remove-double-div` `inv-pow`

Counts

4 → 33

Calls

4 calls:

12.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
12.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series865.0ms

Counts

4 → 12

Calls

4 calls:

606.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
103.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
53.0ms	(+ (* (+ x y) z) (* (+ t y) a))
102.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify47.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	354	381
1	1478	380
2	5002	380

prune159.0ms

Filtered

45 candidates to 35 candidates (77.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	44	11	55

Merged error: 4.2b

Counts

55 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
24.1b	(* (+ (+ x t) y) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
9×	`flip3-+` `flip-+`
6×	`frac-times`
5×	`clear-num`
4×	`frac-2neg` `frac-add` `associate-/r/`
3×	`flip3--` `associate-r/` `associate-r*` `flip--`
2×	`+-commutative` `associate--l+` `un-div-inv` `div-inv`
1×	`sub-neg` `*-commutative` `inv-pow`

Counts

4 → 36

Calls

4 calls:

9.0ms	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
12.0ms	(* (+ (+ x t) y) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
97.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
96.0ms	(* (+ (+ x t) y) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

simplify52.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	361	429
1	1634	429
2	5002	429

prune161.0ms

Filtered

48 candidates to 35 candidates (72.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	48	11	59

Merged error: 4.2b

Counts

59 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
24.2b	(/ (/ 1 (+ (+ x t) y)) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

21×	`associate-/r/`
10×	`div-inv`
9×	`flip3-+` `times-frac` `flip-+`
8×	`associate-*l/`
6×	`flip3--` `flip--`
4×	`frac-2neg` `frac-add` `clear-num`
3×	`associate-/r` `associate-/l/` `associate-/l`
2×	`+-commutative` `associate--l+`
1×	`sub-neg` `inv-pow`

Counts

4 → 43

Calls

4 calls:

9.0ms	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
13.0ms	(/ (/ 1 (+ (+ x t) y)) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

series802.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
100.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
52.0ms	(+ (* (+ x y) z) (* (+ t y) a))
593.0ms	(/ (/ 1 (+ (+ x t) y)) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

simplify61.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	436	683
1	2041	663
2	5002	662

prune170.0ms

Filtered

55 candidates to 41 candidates (74.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	54	12	66

Merged error: 4.2b

Counts

66 → 12

regimes587.0ms

Accuracy

86.3% (3.0b remaining)

Error of 7.7b against oracle of 4.7b and baseline of 26.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	32
1	36	32

end0.0ms

sample630.0ms

Algorithm

intervals

Results

367.0ms	7999×	body	80	valid
0.0ms	1×	body	320	valid