Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	234×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify21.0ms

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))

rewrite11.0ms

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:

11.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify82.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

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

prune32.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `flip3-+` `times-frac` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out`

Counts

1 → 20

Calls

1 calls:

52.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	161	176
1	472	166
2	1719	162
3	5002	162

prune50.0ms

Pruning

6 alts after pruning (5 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))))

rewrite128.0ms

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:

10.0ms	(cbrt (+ x (/ (- x y) 2.0)))
11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
92.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts

4 → 12

Calls

4 calls:

420.0ms	(cbrt (+ x (/ (- x y) 2.0)))
427.0ms	(cbrt (+ x (/ (- x y) 2.0)))
420.0ms	(cbrt (+ x (/ (- x y) 2.0)))
401.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify65.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (54.0ms)

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

prune237.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))))

rewrite127.0ms

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:

10.0ms	(cbrt (+ x (/ (- x y) 2.0)))
10.0ms	(cbrt (+ x (/ (- x y) 2.0)))
11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
93.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts

4 → 12

Calls

4 calls:

426.0ms	(cbrt (+ x (/ (- x y) 2.0)))
427.0ms	(cbrt (+ x (/ (- x y) 2.0)))
423.0ms	(cbrt (+ x (/ (- x y) 2.0)))
392.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify67.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (56.0ms)

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

prune287.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes92.0ms

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	8	4
1	8	4

end0.0ms

sample478.0ms

Algorithm

intervals

Results

269.0ms	7390×	body	80	valid
34.0ms	223×	body	1280	valid
20.0ms	167×	body	640	valid
17.0ms	92×	body	2560	valid
9.0ms	96×	body	320	valid
2.0ms	35×	body	160	valid