Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	240×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	1×	body	160	valid

simplify306.0ms

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

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

(+ (* 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

prune59.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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

rewrite59.0ms

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:

25.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
244.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
244.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
237.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify86.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	506	3272
1	2014	3193
2	5001	3127

prune522.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

156×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*l/`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 111

Calls

4 calls:

8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
21.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
9.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

series1.3s

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
249.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
425.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
351.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

simplify75.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	621	3180
1	1708	3120
2	5002	3110

prune603.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

9.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
9.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
9.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
24.0ms	(* (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

335.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
344.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
342.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
419.0ms	(* (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify85.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	552	4067
1	2046	3974
2	5003	3866

prune707.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

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

sample407.0ms

Algorithm

intervals

Results

189.0ms	7425×	body	80	valid
23.0ms	181×	body	1280	valid
16.0ms	188×	body	640	valid
9.0ms	133×	body	320	valid
5.0ms	40×	body	2560	valid
2.0ms	48×	body	160	valid