Details

sample18.0ms

Algorithm

intervals

Results

8.0ms	235×	body	80	valid
2.0ms	10×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite12.0ms

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:

12.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify80.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (7.0ms)

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

prune31.0ms

Pruning

4 alts after pruning (4 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))

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:

2.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify80.0ms

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

prune27.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 95

Calls

4 calls:

11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
99.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series1.6s

Counts

4 → 12

Calls

4 calls:

426.0ms	(cbrt (+ x (/ (- x y) 2.0)))
423.0ms	(cbrt (+ x (/ (- x y) 2.0)))
404.0ms	(cbrt (+ x (/ (- x y) 2.0)))
382.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify69.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	263	1109
1	759	1044
2	2601	956
3	5001	940

prune246.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
36×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`cbrt-div`
16×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 98

Calls

4 calls:

12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
13.0ms	(cbrt (+ x (/ (- x y) 2.0)))
98.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts

4 → 12

Calls

4 calls:

431.0ms	(cbrt (+ x (/ (- x y) 2.0)))
430.0ms	(cbrt (+ x (/ (- x y) 2.0)))
396.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
427.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify74.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	317	1167
1	874	1111
2	2851	1010
3	5002	993

prune295.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes120.0ms

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

sample491.0ms

Algorithm

intervals

Results

277.0ms	7401×	body	80	valid
31.0ms	196×	body	1280	valid
22.0ms	117×	body	2560	valid
19.0ms	153×	body	640	valid
8.0ms	82×	body	320	valid
3.0ms	53×	body	160	valid