Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	230×	body	80	valid
2.0ms	16×	body	640	valid
2.0ms	12×	body	1280	valid
1.0ms	11×	body	320	valid
1.0ms	7×	body	160	valid
0.0ms	1×	body	2560	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (12.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	111	6
3	213	6
4	517	5
5	1051	5
6	2055	5
7	3280	5
8	5002	5

prune9.0ms

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: 10.9b

Counts

2 → 2

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
11.7b	(fma (/ y (- a t)) (- t z) (+ x y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

series115.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ y (- a t))
80.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

simplify68.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	61	27
1	133	27
2	263	27
3	670	26
4	1854	26
5	5001	26

prune44.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	7	5	12
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	8	6	14

Merged error: 5.9b

Counts

14 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
11.7b	(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-/r/`
3×	`associate-r/` `associate-r*` `clear-num`
2×	`flip3--` `frac-2neg` `un-div-inv` `flip--` `div-inv`
1×	`*-commutative` `fma-udef` `inv-pow`

Counts

3 → 16

Calls

3 calls:

3.0ms	(/ 1 (- a t))
4.0ms	(* y (/ 1 (- a t)))
1.0ms	(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

series142.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- a t))
28.0ms	(* y (/ 1 (- a t)))
79.0ms	(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

simplify52.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	75	35
1	252	35
2	741	35
3	1816	32
4	5001	32

prune62.0ms

Filtered

25 candidates to 14 candidates (56.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	25	6	31

Merged error: 5.9b

Counts

31 → 6

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
3.3b	(+ (* (- t z) (/ y (- a t))) (+ x y))
8.6b	(* (- t z) (/ y (- a t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`frac-add`
18×	`frac-times`
15×	`flip3--` `flip--`
13×	`flip3-+` `clear-num` `flip-+`
10×	`frac-2neg`
9×	`associate-*r/`
6×	`associate-r` `associate-*l/` `associate-/r/`
5×	`fma-def`
3×	`un-div-inv` `div-inv`
2×	`+-commutative` `associate-+r+` `*-commutative`

Counts

3 → 55

Calls

3 calls:

5.0ms	(/ y (- a t))
19.0ms	(+ (* (- t z) (/ y (- a t))) (+ x y))
6.0ms	(* (- t z) (/ y (- a t)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ y (- a t))
133.0ms	(+ (* (- t z) (/ y (- a t))) (+ x y))
57.0ms	(* (- t z) (/ y (- a t)))

simplify91.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	702	679
1	3398	646
2	5001	644

prune480.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	58	6	64
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	62	8	70

Merged error: 2.6b

Counts

70 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
1.5b	(fma (- t z) (/ y (- a t)) x)
3.3b	(+ (fma (- t z) (/ y (- a t)) x) y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 10

Calls

3 calls:

3.0ms	(/ y (- a t))
1.0ms	(fma (- t z) (/ y (- a t)) x)
2.0ms	(+ (fma (- t z) (/ y (- a t)) x) y)

series197.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ y (- a t))
62.0ms	(fma (- t z) (/ y (- a t)) x)
104.0ms	(+ (fma (- t z) (/ y (- a t)) x) y)

simplify80.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	97	74
1	224	73
2	700	66
3	3160	64
4	5001	64

prune46.0ms

Filtered

19 candidates to 13 candidates (68.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	19	8	27

Merged error: 2.6b

Counts

27 → 8

regimes269.0ms

Accuracy

41.3% (5.2b remaining)

Error of 8.6b against oracle of 3.4b and baseline of 12.3b

bsearch105.0ms

Steps

Iters	Range		Point
10	2.4059102509120754e+136	5.72039747560308e+146	1.8795580165887424e+143
8	-1.258770744292862e+79	-1.3164224548041124e+76	-1.1300734185978326e+79

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	8
1	27	8

end0.0ms

sample766.0ms

Algorithm

intervals

Results

299.0ms	7296×	body	80	valid
77.0ms	474×	body	640	valid
50.0ms	268×	body	1280	valid
46.0ms	414×	body	320	valid
18.0ms	233×	body	160	valid
4.0ms	16×	body	2560	valid