Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	233×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	3×	body	2560	valid
0.0ms	1×	body	160	valid

simplify307.0ms

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: 0.0b

localize9.0ms

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:

11.0ms

(+ (* 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 (30.0ms)

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

prune55.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

38.0ms	(+ (+ (* 2 (+ x y)) x) z)
6.0ms	(+ (* 2 (+ x y)) x)

series52.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (+ (* 2 (+ x y)) x) z)
31.0ms	(+ (* 2 (+ x y)) x)

simplify71.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	165	183
1	588	174
2	2960	170
3	5001	170

prune71.0ms

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)))

rewrite135.0ms

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:

92.0ms	(* (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:

309.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
261.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
248.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
242.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify85.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (52.0ms)

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

prune519.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
10×	`cbrt-prod`
7×	`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 → 108

Calls

4 calls:

11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
14.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
31.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
248.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
247.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
441.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	560	3108
1	1549	3050
2	5001	3039

prune566.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes98.0ms

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

sample530.0ms

Algorithm

intervals

Results

297.0ms	7386×	body	80	valid
28.0ms	205×	body	640	valid
23.0ms	173×	body	1280	valid
10.0ms	114×	body	320	valid
7.0ms	46×	body	2560	valid
5.0ms	85×	body	160	valid