Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	4
1	14	4
2	14	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 7.4b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
7.4b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
30×	`times-frac`
14×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 65

Calls

2 calls:

6.0ms	(- 1.0 (/ y z))
10.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(- 1.0 (/ y z))
49.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	220	502
1	647	479
2	1852	479
3	5001	479

prune126.0ms

Filtered

71 candidates to 47 candidates (66.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	63	8	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	9	72

Merged error: 5.0b

Counts

72 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.5b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

232×	`times-frac`
200×	`add-sqr-sqrt`
196×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
22×	`distribute-lft-out--`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

3 → 210

Calls

3 calls:

6.0ms	(- 1.0 (/ y z))
14.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
11.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series177.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- 1.0 (/ y z))
121.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
41.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify71.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	612	2121
1	2720	1935
2	5001	1771

prune247.0ms

Filtered

219 candidates to 97 candidates (44.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	215	4	219
Fresh	1	6	7
Picked	1	0	1
Done	1	0	1
Total	218	10	228

Merged error: 5.0b

Counts

228 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.1b	(/ 1 (/ (+ x y) (- 1.0 (/ y z))))
0.2b	(/ 1 (/ 1 (/ (+ x y) (- 1.0 (/ y z)))))
7.4b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

1213×	`times-frac`
793×	`add-sqr-sqrt`
789×	`*-un-lft-identity`
443×	`add-cube-cbrt`
140×	`difference-of-squares`
131×	`associate-/r*`
103×	`distribute-lft-out`
70×	`distribute-lft-out--`
60×	`add-exp-log`
43×	`div-exp`
40×	`associate-/r/`
23×	`div-inv`
20×	`add-cbrt-cube`
18×	`flip3--` `flip--`
15×	`rec-exp` `1-exp`
10×	`cbrt-undiv` `associate-/l*`
7×	`pow1`
6×	`add-log-exp`
5×	`pow-flip`
3×	`frac-2neg` `clear-num` `inv-pow`
2×	`associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `remove-double-div`

Counts

4 → 632

Calls

4 calls:

6.0ms	(- 1.0 (/ y z))
16.0ms	(/ 1 (/ (+ x y) (- 1.0 (/ y z))))
34.0ms	(/ 1 (/ 1 (/ (+ x y) (- 1.0 (/ y z)))))
11.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- 1.0 (/ y z))
109.0ms	(/ 1 (/ (+ x y) (- 1.0 (/ y z))))
54.0ms	(/ 1 (/ 1 (/ (+ x y) (- 1.0 (/ y z)))))
52.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify116.0ms

Algorithm

egg-herbie

Counts

644 → 644

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1510	8130
1	5002	6743

prune641.0ms

Filtered

644 candidates to 253 candidates (39.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	641	3	644
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	642	12	654

Merged error: 1.5b

Counts

654 → 12

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
0.0b	(/ 1.0 (+ x y))
0.2b	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
9.9b	(/ (/ y z) (+ x y))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

271×	`times-frac`
252×	`*-un-lft-identity`
201×	`add-sqr-sqrt`
96×	`add-cube-cbrt`
38×	`distribute-lft-out`
35×	`distribute-lft-out--`
30×	`difference-of-squares`
28×	`associate-/r/`
27×	`associate-/r*`
19×	`associate-/l*`
18×	`div-inv`
15×	`add-exp-log` `distribute-rgt-out--`
13×	`add-cbrt-cube`
12×	`flip3-+` `flip-+`
6×	`div-exp` `add-log-exp`
5×	`pow1` `cbrt-undiv`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `frac-sub` `flip--` `sub-div`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `associate-/l/` `inv-pow`

Counts

4 → 248

Calls

4 calls:

52.0ms	(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
5.0ms	(/ 1.0 (+ x y))
55.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
8.0ms	(/ (/ y z) (+ x y))

series327.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
40.0ms	(/ 1.0 (+ x y))
120.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
48.0ms	(/ (/ y z) (+ x y))

simplify82.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	725	2353
1	2949	2244
2	5002	2164

prune362.0ms

Filtered

260 candidates to 155 candidates (59.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	256	4	260
Fresh	3	7	10
Picked	1	0	1
Done	1	0	1
Total	261	11	272

Merged error: 0.0b

Counts

272 → 11

regimes128.0ms

Accuracy

31.4% (2.1b remaining)

Error of 2.2b against oracle of 0.1b and baseline of 3.1b

bsearch73.0ms

Steps

Iters	Range		Point
7	2.0687212339789916e-244	3.4263482717720753e-242	2.5569318521717623e-243
8	-3.1516295878466495e-268	-1.1747722822770273e-270	-2.1579612036603107e-268

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	26
1	35	26

end0.0ms

sample399.0ms

Algorithm

intervals

Results

234.0ms	7998×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid