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

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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: 13.3b

Counts

2 → 2

localize9.0ms

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)))

rewrite16.0ms

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

series326.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- t x) (- a z))
150.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
129.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify35.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (31.0ms)

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

prune144.0ms

Filtered

42 candidates to 36 candidates (85.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	34	10	44

Merged error: 3.8b

Counts

44 → 10

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))))

rewrite27.0ms

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)))))
10.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (- a z))
52.0ms	(* (- t x) (/ 1 (- a z)))
144.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
130.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify56.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (47.0ms)

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

prune231.0ms

Filtered

85 candidates to 58 candidates (68.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	5	4	9
Picked	0	1	1
Done	0	0	0
Total	85	10	95

Merged error: 3.8b

Counts

95 → 10

localize13.0ms

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))

series491.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- y z) (- a z))
150.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
291.0ms	(* (/ (- y z) (- a z)) (- t x))

simplify42.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	354	297
1	1561	292
2	5003	290

prune152.0ms

Filtered

49 candidates to 38 candidates (77.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	49	10	59

Merged error: 3.8b

Counts

59 → 10

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
13.4b	(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)

series144.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- t x) (- a z))
90.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 4 (50.0ms)

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

prune40.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	1	6	7
Picked	1	0	1
Done	1	1	2
Total	15	10	25

Merged error: 3.2b

Counts

25 → 10

regimes240.0ms

Accuracy

30% (5.9b remaining)

Error of 9.3b against oracle of 3.4b and baseline of 11.8b

bsearch91.0ms

Steps

Iters	Range		Point
7	4.5639512795403315e-201	2.5859239974450258e-199	2.1567847010867933e-199
10	-1.7794668257788558e-146	-1.4120361073866138e-161	-6.706013977496147e-149

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample710.0ms

Algorithm

intervals

Results

271.0ms	7849×	body	80	valid
58.0ms	477×	body	640	valid
45.0ms	423×	body	320	valid
43.0ms	275×	body	1280	valid
16.0ms	250×	body	160	valid
3.0ms	14×	body	2560	valid