Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	231×	body	80	valid
1.0ms	11×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	2560	valid
0.0ms	4×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

15.0ms

(+ x (/ (- x y) 2.0))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(+ x (/ (- x y) 2.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74

prune38.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- (* 1.5 x) (* 0.5 y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- (* 1.5 x) (* 0.5 y))

simplify81.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	87	81
1	274	74
2	884	74
3	2126	74
4	5001	74

prune34.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

19.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
2.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
2.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
2.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))

series1.9s

Counts

4 → 12

Calls

4 calls:

401.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
432.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
620.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
429.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	268	1043
1	827	978
2	2852	916
3	5002	900

prune252.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.5b	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
0.6b	(cbrt (* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3--` `flip--`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 59

Calls

4 calls:

2.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
2.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
3.0ms	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
9.0ms	(cbrt (* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

425.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
418.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
466.0ms	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
404.0ms	(cbrt (* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y)))))

simplify114.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 4 (104.0ms)

Iter	Nodes	Cost
0	295	843
1	692	793
2	1704	785
3	4241	768
4	5001	758

prune242.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.1b 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	7	3
1	7	3

end0.0ms

sample306.0ms

Algorithm

intervals

Results

134.0ms	7359×	body	80	valid
22.0ms	239×	body	1280	valid
9.0ms	150×	body	640	valid
8.0ms	89×	body	2560	valid
4.0ms	96×	body	320	valid
2.0ms	71×	body	160	valid