Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	295×	body	80	valid
1.0ms	11×	body	640	valid
1.0ms	7×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	48	6
2	160	6
3	421	6
4	984	6
5	1956	6
6	3390	6
7	5001	6

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.4b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

6.0ms	(- (/ 2.0 3.0) z)
4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
16.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series29.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
13.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
5.0ms	(* (- y x) 6.0)
9.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify54.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	435	616
1	2060	564
2	5001	564

prune139.0ms

Filtered

97 candidates to 67 candidates (30.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
10×	`associate-*r/`
8×	`associate-+r+` `flip3--` `associate-l` `flip--` `add-log-exp`
7×	`add-cube-cbrt` `associate-r`
5×	`difference-of-squares`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

8.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms	(* 6.0 (- (/ 2.0 3.0) z))
13.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
13.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
4.0ms	(* 6.0 (- (/ 2.0 3.0) z))
9.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	437	708
1	1830	652
2	5001	652

prune120.0ms

Filtered

109 candidates to 68 candidates (37.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	111	7	118

Merged error: 0.0b

Counts

118 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.0b	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.1b	(* (- y x) (- 4.0 (* 6.0 z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`flip3--` `*-un-lft-identity` `flip--` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `associate-l` `add-cbrt-cube`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in`
3×	`associate-r`
2×	`associate-r/` `associate-l/`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

2.0ms	(- 4.0 (* 6.0 z))
3.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
9.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- 4.0 (* 6.0 z))
13.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
9.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	315	441
1	1286	414
2	5003	414

prune87.0ms

Filtered

68 candidates to 47 candidates (30.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
0.3b	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `-un-lft-identity` `associate-l/` `add-cbrt-cube`
8×	`associate-r`
7×	`flip3--` `flip--`
6×	`add-cube-cbrt` `associate-l`
5×	`add-log-exp`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

6.0ms	(* (- y x) 6.0)
3.0ms	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
9.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

series40.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (- y x) 6.0)
21.0ms	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
15.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

simplify49.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	396	465
1	1863	424
2	5003	424

prune68.0ms

Filtered

78 candidates to 51 candidates (34.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

regimes163.0ms

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	13	5
1	13	5

end0.0ms

sample805.0ms

Algorithm

intervals

Results

350.0ms	9365×	body	80	valid
39.0ms	274×	body	640	valid
28.0ms	137×	body	1280	valid
24.0ms	190×	body	320	valid
7.0ms	99×	body	160	valid

Details

sample28.0ms

simplify118.0ms

prune3.0ms

localize8.0ms

rewrite35.0ms

series29.0ms

simplify54.0ms

prune139.0ms

localize9.0ms

rewrite37.0ms

series28.0ms

simplify51.0ms

prune120.0ms

localize7.0ms

rewrite17.0ms

series25.0ms

simplify38.0ms

prune87.0ms

localize7.0ms

rewrite22.0ms

series40.0ms

simplify49.0ms

prune68.0ms

regimes163.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample805.0ms

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