Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	275×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

prune2.0ms

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: 0.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.4b	(/ (* 60.0 (- x y)) (- z t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-*r/`
3×	`flip3--` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r/` `-commutative` `associate-/l/` `associate-/l`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 19

Calls

3 calls:

3.0ms	(* 60.0 (- x y))
10.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
5.0ms	(/ (* 60.0 (- x y)) (- z t))

series201.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* 60.0 (- x y))
117.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
56.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify53.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	188	123
1	571	121
2	1774	118
3	5001	118

prune67.0ms

Filtered

28 candidates to 19 candidates (67.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0.0b

Counts

29 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) 60.0)
0.0b	(+ (/ (- x y) (/ (- z t) 60.0)) (* a 120.0))
0.2b	(/ (- x y) (/ (- z t) 60.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-/l/`
5×	`associate-/r/`
3×	`flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `div-inv`
1×	`+-commutative` `associate-+l-` `flip3-+` `associate-/r*` `flip-+`

Counts

3 → 22

Calls

3 calls:

3.0ms	(/ (- z t) 60.0)
11.0ms	(+ (/ (- x y) (/ (- z t) 60.0)) (* a 120.0))
5.0ms	(/ (- x y) (/ (- z t) 60.0))

series207.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (- z t) 60.0)
121.0ms	(+ (/ (- x y) (/ (- z t) 60.0)) (* a 120.0))
58.0ms	(/ (- x y) (/ (- z t) 60.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	216	136
1	619	134
2	2011	130
3	5003	130

prune81.0ms

Filtered

31 candidates to 25 candidates (80.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	32	4	36

Merged error: 0.0b

Counts

36 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ z 60.0) (/ t 60.0))
0.0b	(+ (/ (- x y) (- (/ z 60.0) (/ t 60.0))) (* a 120.0))
0.2b	(/ (- x y) (- (/ z 60.0) (/ t 60.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
17×	`frac-2neg`
13×	`clear-num` `associate-/r/`
5×	`div-inv`
4×	`sub-div`
3×	`flip3--` `flip--`
2×	`distribute-rgt-out--` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `associate-/r*` `flip-+`

Counts

3 → 40

Calls

3 calls:

4.0ms	(- (/ z 60.0) (/ t 60.0))
12.0ms	(+ (/ (- x y) (- (/ z 60.0) (/ t 60.0))) (* a 120.0))
7.0ms	(/ (- x y) (- (/ z 60.0) (/ t 60.0)))

series267.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (/ z 60.0) (/ t 60.0))
153.0ms	(+ (/ (- x y) (- (/ z 60.0) (/ t 60.0))) (* a 120.0))
78.0ms	(/ (- x y) (- (/ z 60.0) (/ t 60.0)))

simplify93.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	342	301
1	1073	278
2	3729	259
3	5001	250

prune128.0ms

Filtered

49 candidates to 41 candidates (83.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.7b	(/ 60.0 (/ (- z t) (- x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 22

Calls

3 calls:

7.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
4.0ms	(/ (- z t) (- x y))
4.0ms	(/ 60.0 (/ (- z t) (- x y)))

series471.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
48.0ms	(/ (- z t) (- x y))
270.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	185	132
1	594	130
2	2038	126
3	5001	126

prune80.0ms

Filtered

31 candidates to 25 candidates (80.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	31	4	35

Merged error: 0.0b

Counts

35 → 4

regimes244.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample555.0ms

Algorithm

intervals

Results

280.0ms	8521×	body	80	valid
7.0ms	50×	body	1280	valid
4.0ms	35×	body	640	valid
4.0ms	23×	body	2560	valid
2.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	2×	body	5120	valid

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6