Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	236×	body	80	valid
1.0ms	12×	body	640	valid
1.0ms	6×	body	1280	valid
1.0ms	9×	body	320	valid
0.0ms	6×	body	160	valid
0.0ms	1×	body	2560	valid

simplify75.0ms

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

prune8.0ms

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: 8.2b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
9.8b	(fma (/ y (- a t)) (- t z) (+ x y))

rewrite5.0ms

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))

series117.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ y (- a t))
86.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

simplify72.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (13.0ms)

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

prune45.0ms

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: 4.2b

Counts

14 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.6b	(/ 1 (/ (- a t) y))
9.7b	(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-/r/`
4×	`clear-num` `associate-/l/`
3×	`frac-2neg` `div-inv`
2×	`flip3--` `flip--`
1×	`div-sub` `associate-/r*` `fma-udef` `remove-double-div` `inv-pow`

Counts

3 → 18

Calls

3 calls:

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

series190.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (- a t) y)
73.0ms	(/ 1 (/ (- a t) y))
92.0ms	(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

simplify60.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 4 (57.0ms)

Iter	Nodes	Cost
0	102	57
1	257	55
2	867	55
3	2574	52
4	5001	51

prune76.0ms

Filtered

27 candidates to 18 candidates (66.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	28	5	33

Merged error: 4.2b

Counts

33 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
3.0b	(+ (/ (- t z) (/ (- a t) y)) (+ x y))
10.9b	(/ (- t z) (/ (- a t) y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`frac-add` `associate-/l/`
10×	`associate-/r/`
7×	`flip3-+` `flip-+`
6×	`flip3--` `fma-def` `frac-2neg` `clear-num` `flip--` `div-inv`
3×	`div-sub` `associate-/r*`
2×	`+-commutative` `associate-+r+`
1×	`associate-+l-`

Counts

3 → 42

Calls

3 calls:

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

series318.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (- a t) y)
196.0ms	(+ (/ (- t z) (/ (- a t) y)) (+ x y))
96.0ms	(/ (- t z) (/ (- a t) y))

simplify67.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	516	373
1	2759	351
2	5002	347

prune198.0ms

Filtered

51 candidates to 44 candidates (86.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	48	8	56

Merged error: 2.2b

Counts

56 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
3.0b	(+ (+ x y) (/ (- t z) (/ (- a t) y)))
10.9b	(/ (- t z) (/ (- a t) y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 36

Calls

3 calls:

3.0ms	(/ (- a t) y)
8.0ms	(+ (+ x y) (/ (- t z) (/ (- a t) y)))
5.0ms	(/ (- t z) (/ (- a t) y))

series260.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (- a t) y)
122.0ms	(+ (+ x y) (/ (- t z) (/ (- a t) y)))
106.0ms	(/ (- t z) (/ (- a t) y))

simplify56.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	394	374
1	1909	347
2	5001	343

prune138.0ms

Filtered

45 candidates to 37 candidates (82.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	45	8	53

Merged error: 2.2b

Counts

53 → 8

regimes223.0ms

Accuracy

27.8% (4.2b remaining)

Error of 7.5b against oracle of 3.3b and baseline of 9.1b

bsearch89.0ms

Steps

Iters	Range		Point
6	1.8385719836207887e+117	1.5322741746223933e+118	1.508153153812949e+118
9	-5.329847943844745e+208	-1.7520953898120588e+202	-9.02018842352802e+203

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample677.0ms

Algorithm

intervals

Results

258.0ms	7336×	body	80	valid
57.0ms	461×	body	640	valid
41.0ms	265×	body	1280	valid
35.0ms	381×	body	320	valid
16.0ms	256×	body	160	valid
2.0ms	10×	body	2560	valid