Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	251×	body	80	valid
2.0ms	20×	body	320	valid
2.0ms	12×	body	1280	valid
1.0ms	11×	body	640	valid
0.0ms	6×	body	160	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	23	6
1	46	5
2	128	5
3	362	5
4	1024	5
5	2296	5
6	5001	5

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 15.2b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.0b	(+ x (* (- y z) (/ (- t x) (- a z))))
6.1b	(* (- y z) (/ (- t x) (- a z)))

rewrite15.0ms

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

series324.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- t x) (- a z))
146.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
126.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	258	247
1	1244	246
2	5003	244

prune142.0ms

Filtered

42 candidates to 36 candidates (85.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	34	8	42
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	35	9	44

Merged error: 3.0b

Counts

44 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
4.9b	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
6.1b	(* (- 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))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1 (- a z))
51.0ms	(* (- t x) (/ 1 (- a z)))
149.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
125.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	389	570
1	1892	566
2	5003	560

prune224.0ms

Filtered

85 candidates to 57 candidates (67.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Merged error: 3.0b

Counts

94 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.0b	(* (/ (- y z) (- a z)) (- t x))
2.0b	(+ x (* (/ (- y z) (- a z)) (- t x)))

rewrite17.0ms

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

series490.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- y z) (- a z))
293.0ms	(* (/ (- y z) (- a z)) (- t x))
151.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))

simplify41.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	354	297
1	1561	292
2	5001	290

prune140.0ms

Filtered

49 candidates to 37 candidates (75.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	49	8	57

Merged error: 3.0b

Counts

57 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
15.1b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`frac-2neg` `div-sub` `clear-num` `fma-udef` `div-inv`

Counts

2 → 9

Calls

2 calls:

4.0ms	(/ (- t x) (- a z))
1.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series143.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- t x) (- a z))
90.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 4 (49.0ms)

Iter	Nodes	Cost
0	108	48
1	270	48
2	720	46
3	2373	42
4	5001	40

prune33.0ms

Filtered

15 candidates to 11 candidates (73.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	13	10	23

Merged error: 2.7b

Counts

23 → 10

regimes257.0ms

Accuracy

23.8% (6.3b remaining)

Error of 9.5b against oracle of 3.2b and baseline of 11.5b

bsearch88.0ms

Steps

Iters	Range		Point
7	8.370170324343273e-100	1.3528541006384388e-98	8.441939723035317e-100
9	-2.7186785452030227e-60	-1.6086865666574188e-65	-1.6248197980411692e-65

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample699.0ms

Algorithm

intervals

Results

257.0ms	7810×	body	80	valid
58.0ms	458×	body	640	valid
41.0ms	253×	body	1280	valid
37.0ms	416×	body	320	valid
20.0ms	278×	body	160	valid
5.0ms	29×	body	2560	valid