Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	240×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify300.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (31.0ms)

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

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
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:

11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
94.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))

series1.1s

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
248.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
245.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
313.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))

simplify78.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	506	3272
1	2022	3193
2	5001	3127

prune515.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

312×	`cbrt-div`
215×	`flip3-+` `flip-+`
190×	`associate-*r/`
172×	`frac-add`
108×	`frac-times`
42×	`cbrt-prod`
38×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1` `associate-*l/`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 253

Calls

4 calls:

31.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
93.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
92.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
15.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

series1.4s

Counts

4 → 12

Calls

4 calls:

431.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
309.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
308.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
346.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

simplify123.0ms

Algorithm

egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	676	7652
1	2312	7548
2	5001	7397

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

276×	`cbrt-div`
150×	`flip3-+` `flip-+`
132×	`associate-*r/`
120×	`frac-add`
88×	`cbrt-prod`
72×	`frac-times`
54×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
15×	`swap-sqr` `associate-r` `associate-l`
14×	`pow1/3`
13×	`unswap-sqr`
12×	`associate-*l/`
8×	`add-exp-log`
4×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 230

Calls

4 calls:

93.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
99.0ms	(* (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))))
12.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
12.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

series1.4s

Counts

4 → 12

Calls

4 calls:

311.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
436.0ms	(* (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))))
344.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
344.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

simplify122.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	720	6231
1	2628	6105
2	5001	5935

prune1.2s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample381.0ms

Algorithm

intervals

Results

172.0ms	7403×	body	80	valid
17.0ms	174×	body	1280	valid
15.0ms	195×	body	640	valid
8.0ms	134×	body	320	valid
4.0ms	37×	body	2560	valid
3.0ms	73×	body	160	valid