Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	231×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	7×	body	1280	valid
0.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify321.0ms

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: 0.1b

localize6.0ms

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))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (35.0ms)

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

prune61.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 14

Calls

1 calls:

22.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	135	128
1	571	113
2	3374	112
3	5001	112

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite139.0ms

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:

95.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

337.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
272.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
264.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
271.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify91.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (57.0ms)

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

prune528.0ms

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

rewrite79.0ms

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:

11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
14.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
32.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
276.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
369.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
468.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (44.0ms)

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

prune599.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes112.0ms

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	14	5
1	14	5

end0.0ms

sample366.0ms

Algorithm

intervals

Results

165.0ms	7423×	body	80	valid
18.0ms	185×	body	1280	valid
13.0ms	174×	body	640	valid
8.0ms	130×	body	320	valid
5.0ms	36×	body	2560	valid
2.0ms	61×	body	160	valid