Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	236×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	4×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

9.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify79.0ms

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

prune37.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify78.0ms

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

prune33.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:

11.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
3.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
3.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
3.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))

series1.8s

Counts

4 → 12

Calls

4 calls:

394.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
412.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
616.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
414.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (66.0ms)

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

prune252.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
3.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
4.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
3.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))

series1.7s

Counts

4 → 12

Calls

4 calls:

426.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
417.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
415.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
425.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (75.0ms)

Iter	Nodes	Cost
0	154	552
1	399	516
2	1075	508
3	2331	496
4	5002	484

prune239.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes87.0ms

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	9	3
1	9	3

end0.0ms

sample302.0ms

Algorithm

intervals

Results

130.0ms	7387×	body	80	valid
17.0ms	220×	body	1280	valid
13.0ms	99×	body	2560	valid
9.0ms	157×	body	640	valid
5.0ms	98×	body	320	valid
1.0ms	43×	body	160	valid