Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	8
1	152	8
2	501	8
3	2153	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: 17.0b

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))
16.8b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite51.0ms

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))
20.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (+ x y) (+ x y))
41.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
160.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune258.0ms

Filtered

149 candidates to 88 candidates (59.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	144	5	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	144	6	150

Merged error: 7.4b

Counts

150 → 6

localize9.0ms

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)))
17.8b	(/ 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×	`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)))
9.0ms	(/ x (* (+ x y) (+ x y)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x y) (+ x y))
50.0ms	(/ y (+ (+ x y) 1.0))
162.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
62.0ms	(/ x (* (+ x y) (+ x y)))

simplify102.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (86.0ms)

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

prune289.0ms

Filtered

182 candidates to 111 candidates (61.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	176	6	182
Fresh	2	2	4
Picked	1	0	1
Done	1	0	1
Total	180	8	188

Merged error: 0.0b

Counts

188 → 8

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)))

rewrite86.0ms

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))
14.0ms	(/ (/ x (+ x y)) (+ x y))
41.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ x (+ x y))
47.0ms	(/ y (+ (+ x y) 1.0))
69.0ms	(/ (/ x (+ x y)) (+ x y))
169.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify118.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (88.0ms)

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

prune474.0ms

Filtered

322 candidates to 193 candidates (59.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	319	3	322
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	325	5	330

Merged error: 0b

Counts

330 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (/ x (+ x y)) (+ x y))) (cbrt (/ (/ x (+ x y)) (+ x y))))
16.0b	(cbrt (/ (/ x (+ x y)) (+ x y)))
16.0b	(cbrt (/ (/ x (+ x y)) (+ x y)))
16.0b	(cbrt (/ (/ x (+ x y)) (+ x y)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

1153×	`*-un-lft-identity`
1128×	`times-frac`
714×	`cbrt-prod`
489×	`add-sqr-sqrt`
433×	`add-cube-cbrt`
318×	`distribute-lft-out`
153×	`swap-sqr`
81×	`associate-r` `associate-l`
78×	`associate-/r/`
39×	`flip3-+` `flip-+` `div-inv`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `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 → 613

Calls

4 calls:

108.0ms	(* (cbrt (/ (/ x (+ x y)) (+ x y))) (cbrt (/ (/ x (+ x y)) (+ x y))))
16.0ms	(cbrt (/ (/ x (+ x y)) (+ x y)))
11.0ms	(cbrt (/ (/ x (+ x y)) (+ x y)))
11.0ms	(cbrt (/ (/ x (+ x y)) (+ x y)))

series888.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt (/ (/ x (+ x y)) (+ x y))) (cbrt (/ (/ x (+ x y)) (+ x y))))
215.0ms	(cbrt (/ (/ x (+ x y)) (+ x y)))
211.0ms	(cbrt (/ (/ x (+ x y)) (+ x y)))
207.0ms	(cbrt (/ (/ x (+ x y)) (+ x y)))

simplify167.0ms

Algorithm

egg-herbie

Counts

625 → 625

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	780	10101
1	2874	9972
2	5002	9712

prune1.2s

Filtered

625 candidates to 306 candidates (49.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	625	0	625
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	625	5	630

Merged error: 0b

Counts

630 → 5

regimes40.0ms

Accuracy

0% (0.1b 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	12	8
1	12	8

end0.0ms

sample416.0ms

Algorithm

intervals

Results

287.0ms

8000×

body

valid

Details

sample16.0ms

simplify49.0ms

prune2.0ms

localize8.0ms

rewrite51.0ms

series218.0ms

simplify42.0ms

prune258.0ms

localize9.0ms

rewrite56.0ms

series289.0ms

simplify102.0ms

prune289.0ms

localize8.0ms

rewrite86.0ms

series331.0ms

simplify118.0ms

prune474.0ms

localize13.0ms

rewrite223.0ms

series888.0ms

simplify167.0ms

prune1.2s

regimes40.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample416.0ms

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