Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	17	4
1	28	4
2	43	4
3	56	4
4	72	4
5	133	4
6	214	4
7	265	4
8	297	4
9	297	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

21.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify133.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	283	498
1	886	475
2	4321	474
3	5001	474

prune125.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

1352×	`*-un-lft-identity`
946×	`times-frac`
843×	`add-sqr-sqrt`
576×	`prod-diff`
517×	`add-cube-cbrt`
335×	`distribute-lft-out--`
161×	`distribute-lft-out` `difference-of-squares`
106×	`associate-/r/`
54×	`flip3--` `flip--`
53×	`div-inv`
24×	`fma-neg`
12×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 722

Calls

3 calls:

16.0ms	(/ x (- 2.0 (+ x y)))
14.0ms	(/ y (- 2.0 (+ x y)))
151.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series175.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ x (- 2.0 (+ x y)))
48.0ms	(/ y (- 2.0 (+ x y)))
75.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify271.0ms

Algorithm

egg-herbie

Counts

731 → 731

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	1304	23967
1	3665	17833
2	5001	17718

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- 2.0 (+ x y)))
0.0b	(- (/ x (- 2.0 (+ x y))) (cbrt (pow (/ y (- 2.0 (+ x y))) 3)))
0.1b	(pow (/ y (- 2.0 (+ x y))) 3)
19.1b	(cbrt (pow (/ y (- 2.0 (+ x y))) 3))

rewrite514.0ms

Algorithm

rewrite-expression-head

Rules

2837×	`*-un-lft-identity`
2009×	`times-frac`
1870×	`add-sqr-sqrt`
1368×	`prod-diff`
1362×	`cbrt-prod`
1165×	`add-cube-cbrt`
669×	`distribute-lft-out--`
628×	`unpow-prod-down` `cube-prod`
348×	`difference-of-squares`
334×	`distribute-lft-out`
222×	`associate-/r/`
112×	`flip3--` `flip--`
111×	`div-inv`
28×	`sqr-pow`
26×	`cube-mult` `unpow3`
24×	`fma-neg`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cube-div` `pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `frac-sub` `rem-cbrt-cube`

Counts

4 → 1601

Calls

4 calls:

16.0ms	(/ y (- 2.0 (+ x y)))
239.0ms	(- (/ x (- 2.0 (+ x y))) (cbrt (pow (/ y (- 2.0 (+ x y))) 3)))
22.0ms	(pow (/ y (- 2.0 (+ x y))) 3)
20.0ms	(cbrt (pow (/ y (- 2.0 (+ x y))) 3))

series301.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ y (- 2.0 (+ x y)))
90.0ms	(- (/ x (- 2.0 (+ x y))) (cbrt (pow (/ y (- 2.0 (+ x y))) 3)))
80.0ms	(pow (/ y (- 2.0 (+ x y))) 3)
81.0ms	(cbrt (pow (/ y (- 2.0 (+ x y))) 3))

simplify569.0ms

Algorithm

egg-herbie

Counts

1613 → 1613

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1931	65817
1	5001	42420

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample304.0ms

Algorithm

intervals

Results

175.0ms	7997×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid