Details

sample40.0ms

Algorithm

intervals

Results

17.0ms	305×	body	80	valid
3.0ms	11×	body	640	valid
1.0ms	5×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	4×	body	160	valid

simplify138.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 0.4b

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))

rewrite34.0ms

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:

7.0ms	(- (/ 2.0 3.0) z)
4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
14.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series171.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
62.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
29.0ms	(* (- y x) 6.0)
61.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify56.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

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

prune192.0ms

Filtered

97 candidates to 67 candidates (69.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	87	10	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	10	98

Merged error: 0.0b

Counts

98 → 10

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

rewrite38.0ms

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:

7.0ms	(- (/ 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))
14.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
62.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
37.0ms	(* 6.0 (- (/ 2.0 3.0) z))
46.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

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

prune186.0ms

Filtered

109 candidates to 69 candidates (63.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	108	11	119

Merged error: 0.0b

Counts

119 → 11

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

7.0ms	(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (- y x) (* 6.0 (- z))))
3.0ms	(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
8.0ms	(* (- y x) (* 6.0 (- z)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (- y x) (* 6.0 (- z))))
42.0ms	(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
31.0ms	(* (- y x) (* 6.0 (- z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	424	653
1	1845	607
2	5001	605

prune159.0ms

Filtered

66 candidates to 47 candidates (71.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	66	11	77

Merged error: 0.0b

Counts

77 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* 4.0 y) (* 3.0 x)) (* (- y x) (* 6.0 (- z))))
0.0b	(- (* 4.0 y) (* 3.0 x))
0.3b	(* (- y x) (* 6.0 (- z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

8.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (- y x) (* 6.0 (- z))))
3.0ms	(- (* 4.0 y) (* 3.0 x))
8.0ms	(* (- y x) (* 6.0 (- z)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (- y x) (* 6.0 (- z))))
36.0ms	(- (* 4.0 y) (* 3.0 x))
36.0ms	(* (- y x) (* 6.0 (- z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	412	545
1	1738	510
2	5003	508

prune128.0ms

Filtered

65 candidates to 46 candidates (70.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	65	11	76

Merged error: 0.0b

Counts

76 → 11

regimes208.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	29	8
2	33	8
3	33	8

end0.0ms

sample623.0ms

Algorithm

intervals

Results

323.0ms	9388×	body	80	valid
36.0ms	271×	body	640	valid
22.0ms	138×	body	1280	valid
19.0ms	201×	body	320	valid
8.0ms	124×	body	160	valid