Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	255×	body	80	valid
2.0ms	18×	body	640	valid
1.0ms	9×	body	1280	valid
1.0ms	12×	body	320	valid
0.0ms	6×	body	160	valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	44	6
2	122	6
3	327	6
4	868	6
5	1727	6
6	3544	6
7	5001	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: 13.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
2.1b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.3b	(* (- y z) (/ (- t x) (- a z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 33

Calls

3 calls:

4.0ms	(/ (- t x) (- a z))
7.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
6.0ms	(* (- y z) (/ (- t x) (- a z)))

series323.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- t x) (- a z))
148.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
127.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	248	255
1	1222	255
2	5002	255

prune135.0ms

Filtered

42 candidates to 36 candidates (85.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	32	10	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	11	43

Merged error: 3.4b

Counts

43 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (- t x) (/ 1 (- a z)))
3.0b	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
5.3b	(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

50×	`frac-times`
33×	`flip3--` `flip--`
25×	`associate-*r/`
17×	`clear-num`
13×	`frac-2neg`
11×	`associate-r`
10×	`associate-*l/`
8×	`un-div-inv`
6×	`associate-/r/`
3×	`*-commutative` `div-inv`
1×	`+-commutative` `flip3-+` `flip-+` `inv-pow`

Counts

4 → 73

Calls

4 calls:

3.0ms	(/ 1 (- a z))
5.0ms	(* (- t x) (/ 1 (- a z)))
5.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
9.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1 (- a z))
50.0ms	(* (- t x) (/ 1 (- a z)))
145.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
126.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	379	594
1	1847	592
2	5003	592

prune206.0ms

Filtered

85 candidates to 56 candidates (65.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	5	4	9
Picked	0	1	1
Done	1	0	1
Total	87	9	96

Merged error: 3.4b

Counts

96 → 9

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.3b	(+ x (* (/ (- y z) (- a z)) (- t x)))
2.7b	(* (/ (- y z) (- a z)) (- t x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

4.0ms	(/ (- y z) (- a z))
5.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
6.0ms	(* (/ (- y z) (- a z)) (- t x))

series483.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- y z) (- a z))
149.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
288.0ms	(* (/ (- y z) (- a z)) (- t x))

simplify49.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	342	306
1	1511	306
2	5001	306

prune133.0ms

Filtered

49 candidates to 38 candidates (77.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	49	9	58

Merged error: 3.4b

Counts

58 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- t x))
1.0b	(/ 1 (/ (- a z) (- t x)))
3.8b	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
5.3b	(* (- y z) (/ 1 (/ (- a z) (- t x))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-/r/`
15×	`flip3--` `flip--`
12×	`frac-times` `associate-/r*`
9×	`clear-num`
7×	`frac-2neg` `div-inv`
6×	`associate-r/` `associate-r*` `associate-/l/`
2×	`associate-*l/` `un-div-inv`
1×	`+-commutative` `flip3-+` `div-sub` `*-commutative` `flip-+` `remove-double-div` `inv-pow`

Counts

4 → 53

Calls

4 calls:

4.0ms	(/ (- a z) (- t x))
4.0ms	(/ 1 (/ (- a z) (- t x)))
5.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
7.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

series693.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (- a z) (- t x))
193.0ms	(/ 1 (/ (- a z) (- t x)))
151.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
296.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

simplify49.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	322	326
1	1533	322
2	5001	322

prune157.0ms

Filtered

65 candidates to 47 candidates (72.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	6	6
Picked	0	1	1
Done	1	1	2
Total	65	9	74

Merged error: 3.4b

Counts

74 → 9

regimes196.0ms

Accuracy

24.5% (5.8b remaining)

Error of 10.0b against oracle of 4.1b and baseline of 11.9b

bsearch102.0ms

Steps

Iters	Range		Point
7	4.5639512795403315e-201	2.5859239974450258e-199	2.666948169572465e-200
10	-1.7794668257788558e-146	-1.4120361073866138e-161	-3.487424751400493e-149

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	13
1	34	13

end0.0ms

sample711.0ms

Algorithm

intervals

Results

273.0ms	7849×	body	80	valid
57.0ms	477×	body	640	valid
44.0ms	275×	body	1280	valid
38.0ms	423×	body	320	valid
15.0ms	250×	body	160	valid
3.0ms	14×	body	2560	valid