Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

10.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify125.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (28.0ms)

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

prune108.0ms

Filtered

63 candidates to 40 candidates (63.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Merged error: 0b

Counts

64 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))
0.0b	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
0.4b	(expm1 (/ (- x y) (- 2.0 (+ x y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

10.0ms	(/ (- x y) (- 2.0 (+ x y)))
1.0ms	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
1.0ms	(expm1 (/ (- x y) (- 2.0 (+ x y))))

series260.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- x y) (- 2.0 (+ x y)))
106.0ms	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
104.0ms	(expm1 (/ (- x y) (- 2.0 (+ x y))))

simplify156.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	338	687
1	1017	638
2	4745	631
3	5001	631

prune202.0ms

Filtered

91 candidates to 61 candidates (67.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Merged error: 0b

Counts

94 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
0.2b	(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b	(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b	(cbrt (/ (- x y) (- 2.0 (+ x y))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

651×	`*-un-lft-identity`
372×	`cbrt-prod`
324×	`times-frac`
318×	`add-sqr-sqrt`
212×	`distribute-lft-out--`
108×	`add-cube-cbrt`
93×	`swap-sqr` `difference-of-squares`
67×	`distribute-lft-out`
39×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 344

Calls

4 calls:

48.0ms	(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
9.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
9.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
9.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))

series668.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
180.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
169.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
180.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))

simplify100.0ms

Algorithm

egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	516	5166
1	1651	5068
2	5002	4650

prune735.0ms

Filtered

356 candidates to 184 candidates (51.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	356	3	359

Merged error: 0b

Counts

359 → 3

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample313.0ms

Algorithm

intervals

Results

183.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid