Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 58

Calls

1 calls:

12.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify114.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	275	489
1	853	468
2	4118	466
3	5002	466

prune86.0ms

Filtered

61 candidates to 38 candidates (62.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	4	62

Merged error: 0.0b

Counts

62 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 2.0 (+ x y)) (- x y))
0.1b	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

292×	`*-un-lft-identity`
258×	`times-frac`
214×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
83×	`distribute-lft-out--`
57×	`difference-of-squares`
41×	`associate-/r*`
26×	`distribute-lft-out`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

2 → 226

Calls

2 calls:

9.0ms	(/ (- 2.0 (+ x y)) (- x y))
14.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series157.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(/ (- 2.0 (+ x y)) (- x y))
51.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	645	2314
1	3102	2113
2	5001	1926

prune193.0ms

Filtered

232 candidates to 92 candidates (39.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	233	3	236

Merged error: 0.0b

Counts

236 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- 2.0 (+ x y)))
0.1b	(* (- x y) (/ 1 (- 2.0 (+ x y))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
47×	`add-sqr-sqrt`
38×	`times-frac`
24×	`add-cube-cbrt` `associate-r`
15×	`add-exp-log` `distribute-lft-out--`
9×	`add-cbrt-cube`
8×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`pow1` `associate-l`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 98

Calls

2 calls:

12.0ms	(/ 1 (- 2.0 (+ x y)))
26.0ms	(* (- x y) (/ 1 (- 2.0 (+ x y))))

series111.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1 (- 2.0 (+ x y)))
77.0ms	(* (- x y) (/ 1 (- 2.0 (+ x y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	364	646
1	1671	565
2	5002	515

prune110.0ms

Filtered

104 candidates to 58 candidates (55.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	104	3	107

Merged error: 0.0b

Counts

107 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))
0.6b	(cbrt (- 2.0 (+ x y)))
0.6b	(cbrt (- 2.0 (+ x y)))
0.6b	(cbrt (- 2.0 (+ x y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
58×	`cbrt-prod`
37×	`add-sqr-sqrt`
22×	`distribute-lft-out--`
18×	`cbrt-div`
15×	`add-cube-cbrt` `swap-sqr`
11×	`pow1` `distribute-lft-out`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

17.0ms	(* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))
5.0ms	(cbrt (- 2.0 (+ x y)))
5.0ms	(cbrt (- 2.0 (+ x y)))
5.0ms	(cbrt (- 2.0 (+ x y)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))
95.0ms	(cbrt (- 2.0 (+ x y)))
93.0ms	(cbrt (- 2.0 (+ x y)))
94.0ms	(cbrt (- 2.0 (+ x y)))

simplify134.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	323	1107
1	980	1056
2	4515	957
3	5001	952

prune231.0ms

Filtered

123 candidates to 81 candidates (65.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	123	3	126

Merged error: 0.0b

Counts

126 → 3

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample339.0ms

Algorithm

intervals

Results

210.0ms

8000×

body

valid