Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	4
1	44	4
2	82	4
3	132	4
4	175	4
5	208	4
6	221	4
7	221	4

prune6.0ms

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: 7.6b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* z (- y t)) 2.0)
7.6b	(/ x (/ (* z (- y t)) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
4×	`associate-/l*`
2×	`pow1` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`flip3--` `associate-/r/` `flip--`

Counts

2 → 71

Calls

2 calls:

7.0ms	(/ (* z (- y t)) 2.0)
11.0ms	(/ x (/ (* z (- y t)) 2.0))

series96.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (* z (- y t)) 2.0)
44.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	347	491
1	1499	430
2	5002	427

prune155.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	72	7	79

Merged error: 0b

Counts

79 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

4.1b	(/ (/ x z) (/ (- y t) 2.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

637×	`times-frac`
351×	`add-sqr-sqrt` `*-un-lft-identity`
267×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
35×	`div-inv`
19×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `associate-/l/` `add-log-exp`

Counts

1 → 299

Calls

1 calls:

14.0ms

(/ (/ x z) (/ (- y t) 2.0))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(/ (/ x z) (/ (- y t) 2.0))

simplify98.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	1564	3639
1	5001	3548

prune610.0ms

Filtered

302 candidates to 217 candidates (71.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	302	7	309

Merged error: 0b

Counts

309 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (/ z (sqrt 2.0)))
0.4b	(/ z (sqrt 2.0))
0.5b	(/ (- y t) (sqrt 2.0))
4.1b	(/ (/ x (/ z (sqrt 2.0))) (/ (- y t) (sqrt 2.0)))

rewrite486.0ms

Algorithm

rewrite-expression-head

Rules

8960×	`times-frac`
4385×	`add-sqr-sqrt` `*-un-lft-identity`
3507×	`add-cube-cbrt`
2091×	`sqrt-prod`
439×	`distribute-lft-out--` `difference-of-squares`
220×	`div-inv`
82×	`associate-/l*`
68×	`associate-/r*`
37×	`associate-/r/`
34×	`add-exp-log` `add-cbrt-cube`
20×	`cbrt-undiv` `div-exp`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`associate-/l/`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 2744

Calls

4 calls:

8.0ms	(/ x (/ z (sqrt 2.0)))
4.0ms	(/ z (sqrt 2.0))
7.0ms	(/ (- y t) (sqrt 2.0))
81.0ms	(/ (/ x (/ z (sqrt 2.0))) (/ (- y t) (sqrt 2.0)))

series479.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ x (/ z (sqrt 2.0)))
79.0ms	(/ z (sqrt 2.0))
139.0ms	(/ (- y t) (sqrt 2.0))
205.0ms	(/ (/ x (/ z (sqrt 2.0))) (/ (- y t) (sqrt 2.0)))

simplify516.0ms

Algorithm

egg-herbie

Counts

2756 → 2756

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5001	54292

prune6.2s

Filtered

2756 candidates to 1585 candidates (57.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	2755	1	2756
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	2757	6	2763

Merged error: 0b

Counts

2763 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (sqrt 2.0) (- y t)))
0.4b	(/ z (sqrt 2.0))
0.5b	(/ (sqrt 2.0) (- y t))
4.1b	(/ (/ x (/ z (sqrt 2.0))) (/ 1 (/ (sqrt 2.0) (- y t))))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

36235×	`times-frac`
16201×	`add-sqr-sqrt` `*-un-lft-identity`
13547×	`add-cube-cbrt`
6408×	`sqrt-prod`
1327×	`distribute-lft-out--` `difference-of-squares`
752×	`div-inv`
630×	`associate-/r/`
221×	`flip3--` `flip--`
160×	`associate-/r*`
97×	`add-exp-log`
83×	`associate-/l*`
72×	`div-exp`
49×	`add-cbrt-cube`
32×	`cbrt-undiv`
8×	`rec-exp` `1-exp`
5×	`pow1`
4×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 8511

Calls

4 calls:

12.0ms	(/ 1 (/ (sqrt 2.0) (- y t)))
4.0ms	(/ z (sqrt 2.0))
7.0ms	(/ (sqrt 2.0) (- y t))
210.0ms	(/ (/ x (/ z (sqrt 2.0))) (/ 1 (/ (sqrt 2.0) (- y t))))

series399.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ 1 (/ (sqrt 2.0) (- y t)))
54.0ms	(/ z (sqrt 2.0))
76.0ms	(/ (sqrt 2.0) (- y t))
165.0ms	(/ (/ x (/ z (sqrt 2.0))) (/ 1 (/ (sqrt 2.0) (- y t))))

simplify2.0s

Algorithm

egg-herbie

Counts

8523 → 8523

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	8826	214857

prune25.4s

Filtered

8523 candidates to 5474 candidates (64.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	8523	0	8523
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	8523	6	8529

Merged error: 0b

Counts

8529 → 6

regimes226.0ms

Accuracy

91.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 5.6b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	32	34
1	35	34
2	41	21
3	44	21
4	50	21
5	61	21
6	68	21
7	69	21
8	69	21

end0.0ms

sample523.0ms

Algorithm

intervals

Results

304.0ms

8741×

body

valid