Details

sample15.0ms

Algorithm

intervals

Results

5.0ms

263×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	3
1	16	3
2	18	3
3	18	3

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) (- z y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `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 → 54

Calls

1 calls:

10.0ms

(/ (- x y) (- z y))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(/ (- x y) (- z y))

simplify76.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	228	361
1	634	347
2	2142	347
3	5002	347

prune130.0ms

Filtered

57 candidates to 39 candidates (68.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	6	58

Merged error: 0b

Counts

58 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
32×	`times-frac`
28×	`add-cube-cbrt`
22×	`frac-times`
21×	`associate-r`
20×	`associate-/r*`
15×	`add-exp-log`
14×	`flip3--` `flip--`
13×	`associate-/l*`
11×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube`
5×	`pow1` `associate-l` `clear-num`
4×	`frac-2neg` `div-exp` `prod-exp` `associate-/r/`
3×	`un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

2 → 127

Calls

2 calls:

6.0ms	(/ 1 (- z y))
17.0ms	(* (- x y) (/ 1 (- z y)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ 1 (- z y))
62.0ms	(* (- x y) (/ 1 (- z y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	388	729
1	1930	656
2	5001	598

prune239.0ms

Filtered

133 candidates to 73 candidates (54.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	134	5	139

Merged error: 0b

Counts

139 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (- x y))
0.3b	(/ 1 (/ (- z y) (- x y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
203×	`*-un-lft-identity`
200×	`add-sqr-sqrt`
92×	`add-cube-cbrt`
55×	`distribute-lft-out--`
54×	`difference-of-squares`
41×	`associate-/r*`
25×	`associate-/r/`
15×	`add-exp-log` `associate-/l*`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`flip3--` `flip--`
6×	`div-inv`
4×	`cbrt-undiv` `clear-num` `associate-/l/`
3×	`pow1` `frac-2neg` `remove-double-div`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

2 → 221

Calls

2 calls:

14.0ms	(/ (- z y) (- x y))
16.0ms	(/ 1 (/ (- z y) (- x y)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (- z y) (- x y))
150.0ms	(/ 1 (/ (- z y) (- x y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	614	1854
1	2782	1680
2	5002	1506

prune333.0ms

Filtered

227 candidates to 102 candidates (44.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	227	0	227
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	227	5	232

Merged error: 0b

Counts

232 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- z y))
0.2b	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
2.4b	(sqrt (/ (- x y) (- z y)))
2.4b	(sqrt (/ (- x y) (- z y)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

542×	`*-un-lft-identity`
510×	`sqrt-div`
492×	`add-sqr-sqrt`
248×	`sqrt-prod`
231×	`times-frac`
225×	`frac-times`
176×	`distribute-lft-out--`
175×	`associate-/r` `associate-/l`
162×	`add-cube-cbrt`
148×	`difference-of-squares`
70×	`associate-/l/`
60×	`swap-sqr`
42×	`flip3--` `flip--`
35×	`frac-2neg` `clear-num`
34×	`associate-r` `associate-l`
21×	`pow1`
15×	`associate-r/` `associate-l/`
14×	`associate-/r/`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
1×	`cbrt-undiv` `pow2` `pow-plus` `sqrt-unprod` `div-sub` `div-exp` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 591

Calls

4 calls:

10.0ms	(/ (- x y) (- z y))
49.0ms	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
14.0ms	(sqrt (/ (- x y) (- z y)))
11.0ms	(sqrt (/ (- x y) (- z y)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ (- x y) (- z y))
57.0ms	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
125.0ms	(sqrt (/ (- x y) (- z y)))
129.0ms	(sqrt (/ (- x y) (- z y)))

simplify170.0ms

Algorithm

egg-herbie

Counts

603 → 603

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	797	6474
1	2742	6183
2	5002	6133

prune1.2s

Filtered

603 candidates to 280 candidates (46.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	603	0	603
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	603	5	608

Merged error: 0b

Counts

608 → 5

regimes91.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	6	3

end0.0ms

sample349.0ms

Algorithm

intervals

Results

173.0ms

8362×

body

valid