Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	234×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	2560	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))

rewrite13.0ms

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))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify78.0ms

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

prune31.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite61.0ms

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:

60.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (13.0ms)

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

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
0.5b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.5b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.5b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
65×	`cbrt-prod`
58×	`add-sqr-sqrt`
52×	`cbrt-div`
26×	`frac-sub`
22×	`distribute-lft-out--`
16×	`frac-times` `swap-sqr`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`pow1` `distribute-lft-out`
10×	`associate-r` `associate-l`
9×	`pow1/3`
7×	`times-frac`
6×	`add-exp-log`
4×	`associate-r/` `associate-l/` `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:

225.0ms	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
26.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
29.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
26.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

series1.6s

Counts

4 → 12

Calls

4 calls:

400.0ms	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
420.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
415.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
406.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

simplify97.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	380	2327
1	1123	2248
2	3985	2099
3	5002	2082

prune380.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.5b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.5b	(cbrt (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
0.6b	(cbrt (* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-div`
32×	`cbrt-prod`
26×	`frac-sub`
23×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`frac-times`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
8×	`add-cube-cbrt`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`
3×	`times-frac` `distribute-lft-out`

Counts

4 → 93

Calls

4 calls:

28.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
27.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
30.0ms	(cbrt (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
65.0ms	(cbrt (* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

424.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
420.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
420.0ms	(cbrt (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
398.0ms	(cbrt (* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))))

simplify76.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	432	1885
1	936	1825
2	2461	1817
3	5001	1799

prune378.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes64.0ms

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

sample307.0ms

Algorithm

intervals

Results

143.0ms	7409×	body	80	valid
15.0ms	202×	body	1280	valid
9.0ms	148×	body	640	valid
8.0ms	90×	body	2560	valid
5.0ms	99×	body	320	valid
2.0ms	56×	body	160	valid