Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	36	4
2	73	4
3	127	4
4	167	4
5	185	4
6	187	4
7	187	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: 14.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

14.2b

(/ (* (* x 2.0) y) (- x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`times-frac` `associate-/r*`
3×	`cbrt-undiv` `add-cube-cbrt` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `flip3--` `frac-2neg` `clear-num` `flip--` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

8.0ms

(/ (* (* x 2.0) y) (- x y))

series66.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(/ (* (* x 2.0) y) (- x y))

simplify31.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	211	184
1	1144	151
2	5002	151

prune47.0ms

Filtered

32 candidates to 21 candidates (65.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 0b

Counts

33 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
7.0b	(* (* x 2.0) (/ y (- x y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt` `associate-r`
16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`flip3--` `flip--` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

2 → 78

Calls

2 calls:

5.0ms	(/ y (- x y))
10.0ms	(* (* x 2.0) (/ y (- x y)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ y (- x y))
67.0ms	(* (* x 2.0) (/ y (- x y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	310	435
1	1657	385
2	5001	385

prune104.0ms

Filtered

84 candidates to 54 candidates (64.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
7.3b	(/ (* x 2.0) (/ (- x y) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/l*`
4×	`div-inv`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

2 → 96

Calls

2 calls:

5.0ms	(/ (- x y) y)
8.0ms	(/ (* x 2.0) (/ (- x y) y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (- x y) y)
67.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify58.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	386	605
1	1911	547
2	5002	547

prune145.0ms

Filtered

102 candidates to 71 candidates (69.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	2	0	2
Picked	0	1	1
Done	2	0	2
Total	104	3	107

Merged error: 0b

Counts

107 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ x y) 1)
7.3b	(/ (* x 2.0) (- (/ x y) 1))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
19×	`times-frac`
16×	`*-un-lft-identity`
12×	`difference-of-squares`
10×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`difference-of-sqr-1`
4×	`add-cube-cbrt` `add-log-exp`
3×	`distribute-lft-out--`
2×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 56

Calls

2 calls:

7.0ms	(- (/ x y) 1)
10.0ms	(/ (* x 2.0) (- (/ x y) 1))

series77.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(- (/ x y) 1)
62.0ms	(/ (* x 2.0) (- (/ x y) 1))

simplify104.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	218	351
1	976	309
2	4796	308
3	5002	308

prune67.0ms

Filtered

62 candidates to 37 candidates (59.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	3	65

Merged error: 0b

Counts

65 → 3

regimes43.0ms

Accuracy

95.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.3b

bsearch52.0ms

Steps

Iters	Range		Point
9	3.4577148396709696e-78	8.878157494024839e-73	3.747162136418224e-74
5	-12.323872560135984	-5.155753157609302	-7.580623107550231

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	8
1	26	8

end0.0ms

sample345.0ms

Algorithm

intervals

Results

215.0ms

8000×

body

valid

Details

sample14.0ms

simplify15.0ms

prune2.0ms

localize5.0ms

rewrite9.0ms

series66.0ms

simplify31.0ms

prune47.0ms

localize5.0ms

rewrite18.0ms

series113.0ms

simplify46.0ms

prune104.0ms

localize6.0ms

rewrite18.0ms

series93.0ms

simplify58.0ms

prune145.0ms

localize6.0ms

rewrite19.0ms

series77.0ms

simplify104.0ms

prune67.0ms

regimes43.0ms

bsearch52.0ms

simplify1.0ms

end0.0ms

sample345.0ms

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