Details

analyze72.0ms

Algorithm: search

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	8
1	152	8
2	501	8
3	2153	8
4	5001	8

prune3.0ms

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: 20.5b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
20.2b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-exp-log` `add-cbrt-cube`
30×	`associate-*l/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-r` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`associate-l`
4×	`pow-prod-down`
3×	`add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 140

Calls

3 calls:

8.0ms	(* (+ x y) (+ x y))
15.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (+ x y) (+ x y))
9.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
23.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune384.0ms

Filtered

88 candidates to 149 candidates (-69.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	138	11	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	11	150

Merged error: 6.1b

Counts

150 → 11

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
18.2b	(/ x (* (+ x y) (+ x y)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-exp-log` `add-cbrt-cube`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-r`
20×	`flip3-+` `associate-/r/` `flip-+`
19×	`associate-l`
13×	`pow1` `frac-times`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-r/` `associate-l/`
6×	`swap-sqr` `associate-/r` `associate-/l`
5×	`unswap-sqr`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 170

Calls

4 calls:

8.0ms	(* (+ x y) (+ x y))
7.0ms	(/ y (+ (+ x y) 1.0))
22.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms	(/ x (* (+ x y) (+ x y)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (+ x y) (+ x y))
6.0ms	(/ y (+ (+ x y) 1.0))
22.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms	(/ x (* (+ x y) (+ x y)))

simplify98.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	661	1282
1	3591	1138
2	5002	1127

prune177.0ms

Filtered

112 candidates to 182 candidates (-62.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	175	7	182
Fresh	8	2	10
Picked	0	1	1
Done	0	0	0
Total	183	10	193

Merged error: 0.0b

Counts

193 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

313×	`*-un-lft-identity`
303×	`times-frac`
163×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
89×	`distribute-lft-out`
78×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
28×	`associate-/r/`
24×	`associate-/l*`
21×	`associate-r`
14×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
13×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 310

Calls

4 calls:

5.0ms	(/ x (+ x y))
7.0ms	(/ y (+ (+ x y) 1.0))
10.0ms	(/ (/ x (+ x y)) (+ x y))
40.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ x y))
7.0ms	(/ y (+ (+ x y) 1.0))
9.0ms	(/ (/ x (+ x y)) (+ x y))
20.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify116.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	982	2745
1	4559	2543
2	5002	2535

prune258.0ms

Filtered

192 candidates to 322 candidates (-67.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	316	6	322
Fresh	3	5	8
Picked	1	0	1
Done	1	0	1
Total	321	11	332

Merged error: 0b

Counts

332 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x y) 1.0) y)
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
0.7b	(/ 1 (/ (+ (+ x y) 1.0) y))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

519×	`times-frac`
486×	`*-un-lft-identity`
284×	`add-sqr-sqrt`
227×	`add-cube-cbrt`
139×	`distribute-lft-out`
100×	`add-exp-log`
78×	`associate-l`
62×	`associate-r`
53×	`div-exp`
52×	`add-cbrt-cube`
26×	`associate-/r` `associate-/l`
25×	`cbrt-undiv`
24×	`associate-/r/`
21×	`prod-exp` `div-inv`
15×	`unswap-sqr`
12×	`flip3-+` `flip-+`
9×	`cbrt-unprod`
8×	`rec-exp` `1-exp`
7×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/l/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 446

Calls

4 calls:

8.0ms	(/ (+ (+ x y) 1.0) y)
10.0ms	(/ (/ x (+ x y)) (+ x y))
80.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
10.0ms	(/ 1 (/ (+ (+ x y) 1.0) y))

series42.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (+ (+ x y) 1.0) y)
9.0ms	(/ (/ x (+ x y)) (+ x y))
20.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
8.0ms	(/ 1 (/ (+ (+ x y) 1.0) y))

simplify84.0ms

Algorithm

egg-herbie

Counts

458 → 458

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1470	4509
1	5002	3986

prune360.0ms

Filtered

254 candidates to 458 candidates (-80.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	456	2	458
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	460	9	469

Merged error: 0b

Counts

469 → 9

regimes107.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	8
1	11	8

end0.0ms

analyze75.0ms

Algorithm: search

sample408.0ms

Algorithm

intervals

Results

281.0ms

8000×

body

valid

Details

analyze72.0ms

sample19.0ms

simplify46.0ms

prune3.0ms

localize8.0ms

rewrite47.0ms

series35.0ms

simplify42.0ms

prune384.0ms

localize8.0ms

rewrite53.0ms

series41.0ms

simplify98.0ms

prune177.0ms

localize10.0ms

rewrite81.0ms

series41.0ms

simplify116.0ms

prune258.0ms

localize11.0ms

rewrite138.0ms

series42.0ms

simplify84.0ms

prune360.0ms

regimes107.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze75.0ms

sample408.0ms

Profiling