Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

271×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	65	4
3	156	4
4	302	4
5	470	4
6	865	4
7	1243	4
8	1545	4
9	1705	4
10	1705	4

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: 8.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
7.9b	(/ x (* (- y z) (- t z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

4.0ms	(* (- y z) (- t z))
5.0ms	(/ x (* (- y z) (- t z)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- y z) (- t z))
114.0ms	(/ x (* (- y z) (- t z)))

simplify76.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	171	180
1	631	177
2	3047	173
3	5003	173

prune77.0ms

Filtered

32 candidates to 26 candidates (81.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 0.0b

Counts

33 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- t z))
1.5b	(/ (/ x (- t z)) (- y z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-/r/`
3×	`flip3--` `frac-2neg` `clear-num` `flip--` `div-inv` `associate-/l/` `associate-/l*`

Counts

2 → 16

Calls

2 calls:

2.0ms	(/ x (- t z))
4.0ms	(/ (/ x (- t z)) (- y z))

series141.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ x (- t z))
113.0ms	(/ (/ x (- t z)) (- y z))

simplify63.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	102	63
1	250	62
2	782	62
3	2937	59
4	5002	59

prune45.0ms

Filtered

22 candidates to 16 candidates (72.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	22	5	27

Merged error: 0.0b

Counts

27 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t z) x)
0.3b	(/ 1 (/ (- t z) x))
1.5b	(/ (/ 1 (/ (- t z) x)) (- y z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-/r/`
10×	`associate-/l/`
7×	`clear-num`
6×	`frac-2neg` `div-inv` `associate-/l*`
4×	`flip3--` `flip--`
2×	`associate-/r*`
1×	`div-sub` `remove-double-div` `inv-pow`

Counts

3 → 32

Calls

3 calls:

3.0ms	(/ (- t z) x)
3.0ms	(/ 1 (/ (- t z) x))
6.0ms	(/ (/ 1 (/ (- t z) x)) (- y z))

series289.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (- t z) x)
59.0ms	(/ 1 (/ (- t z) x))
202.0ms	(/ (/ 1 (/ (- t z) x)) (- y z))

simplify56.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	145	114
1	429	108
2	1865	106
3	5002	106

prune85.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	41	5	46

Merged error: 0b

Counts

46 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- t z))
0.4b	(/ 1 (/ (- y z) (/ x (- t z))))
1.5b	(/ (- y z) (/ x (- t z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-/r/`
10×	`associate-/r*`
7×	`clear-num`
6×	`frac-2neg` `div-inv`
5×	`flip3--` `flip--`
4×	`associate-/l/`
1×	`div-sub` `remove-double-div` `inv-pow`

Counts

3 → 34

Calls

3 calls:

2.0ms	(/ x (- t z))
8.0ms	(/ 1 (/ (- y z) (/ x (- t z))))
5.0ms	(/ (- y z) (/ x (- t z)))

series284.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ x (- t z))
201.0ms	(/ 1 (/ (- y z) (/ x (- t z))))
55.0ms	(/ (- y z) (/ x (- t z)))

simplify95.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	173	144
1	619	143
2	3092	134
3	5001	134

prune86.0ms

Filtered

43 candidates to 34 candidates (79.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	43	5	48

Merged error: 0b

Counts

48 → 5

regimes128.0ms

Accuracy

61% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms

sample430.0ms

Algorithm

intervals

Results

220.0ms

8442×

body

valid