Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	242×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid

simplify323.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3921	4
13	5001	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

12.0ms

(+ (* 2 (+ x y)) (+ x z))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify41.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune65.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 2 (+ x y)) (* 2 (+ x y)))
0.0b	(- (* 2 (+ x y)) (+ x z))
16.0b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
39.0b	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

278×	`associate-*r/`
206×	`flip3-+` `flip-+`
136×	`frac-sub`
132×	`frac-times`
66×	`associate-*l/` `associate-/l/`
43×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-log-exp`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `cbrt-unprod`
6×	`associate--l+` `associate-/r/`
5×	`difference-of-squares`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`diff-log` `associate-/r*` `associate--r+`
2×	`sub-neg` `pow-plus`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 253

Calls

4 calls:

29.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
10.0ms	(- (* 2 (+ x y)) (+ x z))
44.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
107.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
23.0ms	(- (* 2 (+ x y)) (+ x z))
107.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
90.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

simplify85.0ms

Algorithm

egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1620	4959
1	5001	4839

prune904.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* 2 (+ x y)) (+ x z))) (cbrt (- (* 2 (+ x y)) (+ x z))))
0.6b	(cbrt (- (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (- (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (- (* 2 (+ x y)) (+ x z)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
74×	`associate-*r/`
68×	`flip3-+` `frac-sub` `flip-+`
36×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
17×	`flip3--` `flip--`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `associate-*l/`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

87.0ms	(* (cbrt (- (* 2 (+ x y)) (+ x z))) (cbrt (- (* 2 (+ x y)) (+ x z))))
10.0ms	(cbrt (- (* 2 (+ x y)) (+ x z)))
10.0ms	(cbrt (- (* 2 (+ x y)) (+ x z)))
13.0ms	(cbrt (- (* 2 (+ x y)) (+ x z)))

series685.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (- (* 2 (+ x y)) (+ x z))) (cbrt (- (* 2 (+ x y)) (+ x z))))
172.0ms	(cbrt (- (* 2 (+ x y)) (+ x z)))
179.0ms	(cbrt (- (* 2 (+ x y)) (+ x z)))
179.0ms	(cbrt (- (* 2 (+ x y)) (+ x z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	500	3265
1	2006	3186
2	5001	3120

prune589.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2 (+ x y)) (+ x z))
0.2b	(* (/ (+ (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))) (/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))))
0.2b	(/ (+ (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))
0.3b	(/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))

rewrite314.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
29×	`flip3-+` `associate-*r/` `flip-+`
28×	`associate-r` `associate-l`
24×	`sqrt-div` `associate-/r/` `frac-sub`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*` `associate-/l/`
9×	`pow1` `add-log-exp` `unswap-sqr`
6×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l*`
4×	`frac-add` `prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `diff-log` `associate--l+` `clear-num` `pow-div`
1×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `div-sub` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `associate--r+`

Counts

4 → 210

Calls

4 calls:

10.0ms	(- (* 2 (+ x y)) (+ x z))
186.0ms	(* (/ (+ (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))) (/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))))
56.0ms	(/ (+ (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))
51.0ms	(/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))

series300.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* 2 (+ x y)) (+ x z))
29.0ms	(* (/ (+ (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))) (/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))))
172.0ms	(/ (+ (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))
77.0ms	(/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))

simplify154.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	946	4329
1	4877	3352
2	5001	3352

prune720.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample378.0ms

Algorithm

intervals

Results

172.0ms	7465×	body	80	valid
16.0ms	165×	body	1280	valid
12.0ms	159×	body	640	valid
8.0ms	131×	body	320	valid
4.0ms	33×	body	2560	valid
2.0ms	61×	body	160	valid