Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
5.7b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite27.0ms

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))
18.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(- 1.0 (/ y z))
53.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (6.0ms)

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

prune149.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.5b

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)))
5.8b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite64.0ms

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:

8.0ms	(- 1.0 (/ y z))
22.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
22.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series180.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(- 1.0 (/ y z))
123.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
41.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify68.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (48.0ms)

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

prune278.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.5b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite237.0ms

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:

5.0ms	(/ 1.0 (+ x y))
78.0ms	(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
129.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
10.0ms	(/ (/ y z) (+ x y))

series336.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1.0 (+ x y))
125.0ms	(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
123.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
49.0ms	(/ (/ y z) (+ x y))

simplify76.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	725	2353
1	2959	2244
2	5001	2164

prune458.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x y))
0.0b	(- 1.0 (/ y z))
0.1b	(/ 1 (- 1.0 (/ y z)))
5.8b	(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

1166×	`times-frac`
724×	`add-sqr-sqrt`
696×	`*-un-lft-identity`
414×	`add-cube-cbrt`
124×	`difference-of-squares`
93×	`associate-/r/`
79×	`distribute-lft-out`
62×	`distribute-lft-out--`
52×	`add-exp-log`
47×	`div-inv`
36×	`div-exp`
30×	`associate-/l*`
28×	`associate-/r*`
26×	`flip3-+` `flip-+`
21×	`flip3--` `flip--`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

4 → 603

Calls

4 calls:

6.0ms	(/ 1 (+ x y))
6.0ms	(- 1.0 (/ y z))
13.0ms	(/ 1 (- 1.0 (/ y z)))
40.0ms	(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1 (+ x y))
16.0ms	(- 1.0 (/ y z))
44.0ms	(/ 1 (- 1.0 (/ y z)))
129.0ms	(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify117.0ms

Algorithm

egg-herbie

Counts

615 → 615

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	2138	8510
1	5001	7596

prune773.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

98.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	19
1	27	19

end0.0ms

sample548.0ms

Algorithm

intervals

Results

379.0ms	7999×	body	80	valid
0.0ms	1×	body	2560	valid