Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	8
1	156	8
2	539	8
3	2410	8
4	5001	8

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: 18.7b

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))
18.5b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite48.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 146

Calls

3 calls:

8.0ms	(* (+ x y) (+ x y))
15.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ x y) (+ x y))
42.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
156.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	934	1519
1	5002	1370

prune312.0ms

Filtered

155 candidates to 94 candidates (60.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	147	8	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	8	156

Merged error: 6.8b

Counts

156 → 8

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)))
17.9b	(/ x (* (+ x y) (+ x y)))

rewrite56.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 178

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)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x y) (+ x y))
49.0ms	(/ y (+ (+ x y) 1.0))
159.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
59.0ms	(/ x (* (+ x y) (+ x y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	677	1321
1	3704	1174
2	5001	1163

prune338.0ms

Filtered

190 candidates to 120 candidates (63.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	183	7	190
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	189	9	198

Merged error: 0.0b

Counts

198 → 9

localize8.0ms

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)))

rewrite82.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 318

Calls

4 calls:

5.0ms	(/ x (+ x y))
7.0ms	(/ y (+ (+ x y) 1.0))
10.0ms	(/ (/ x (+ x y)) (+ x y))
45.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ x (+ x y))
44.0ms	(/ y (+ (+ x y) 1.0))
65.0ms	(/ (/ x (+ x y)) (+ x y))
160.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify108.0ms

Algorithm

egg-herbie

Counts

330 → 330

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	998	2781
1	4636	2579
2	5001	2579

prune587.0ms

Filtered

330 candidates to 200 candidates (60.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	321	9	330
Fresh	7	0	7
Picked	1	0	1
Done	1	0	1
Total	330	9	339

Merged error: 0b

Counts

339 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
0.5b	(/ 1 (/ (+ (+ x y) 1.0) y))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

516×	`times-frac`
473×	`*-un-lft-identity`
283×	`add-sqr-sqrt`
226×	`add-cube-cbrt`
131×	`distribute-lft-out`
100×	`add-exp-log`
78×	`associate-l`
62×	`associate-r`
53×	`div-exp`
52×	`add-cbrt-cube`
27×	`associate-/r*`
26×	`associate-/r/`
25×	`cbrt-undiv`
24×	`associate-/l*`
21×	`prod-exp` `div-inv`
15×	`unswap-sqr`
12×	`flip3-+` `flip-+`
9×	`cbrt-unprod`
8×	`rec-exp` `1-exp`
7×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 450

Calls

4 calls:

5.0ms	(/ x (+ x y))
11.0ms	(/ (/ x (+ x y)) (+ x y))
83.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
10.0ms	(/ 1 (/ (+ (+ x y) 1.0) y))

series329.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ x (+ x y))
61.0ms	(/ (/ x (+ x y)) (+ x y))
160.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
63.0ms	(/ 1 (/ (+ (+ x y) 1.0) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

462 → 462

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1442	4466
1	5002	3951

prune767.0ms

Filtered

462 candidates to 263 candidates (56.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	458	4	462
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	464	7	471

Merged error: 0b

Counts

471 → 7

regimes49.0ms

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	16	9
1	16	9

end0.0ms

sample342.0ms

Algorithm

intervals

Results

217.0ms

8000×

body

valid