Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	300×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	5×	body	1280	valid
1.0ms	7×	body	320	valid
0.0ms	2×	body	160	valid

simplify115.0ms

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

prune4.0ms

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: 0.3b

Counts

2 → 1

localize13.0ms

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)
5.0ms	(+ 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))

series192.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ 2.0 3.0) z)
74.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
37.0ms	(* (- y x) 6.0)
56.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify58.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

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

prune395.0ms

Filtered

97 candidates to 67 candidates (30.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

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)))

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:

9.0ms	(- (/ 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)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ 2.0 3.0) z)
73.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
49.0ms	(* 6.0 (- (/ 2.0 3.0) z))
49.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

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

prune437.0ms

Filtered

109 candidates to 70 candidates (35.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	108	5	113

Merged error: 0.0b

Counts

113 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
0.2b	(* (* (- y x) 6.0) (neg z))
0.3b	(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt`
19×	`associate-l`
18×	`*-un-lft-identity`
16×	`pow1` `add-cube-cbrt`
14×	`associate-r`
11×	`associate-*l/`
10×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
7×	`pow-prod-down`
6×	`add-log-exp`
4×	`flip3--` `flip--`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp`
1×	`+-commutative` `neg-mul-1` `flip3-+` `sum-log` `distribute-rgt-neg-out` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

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

series157.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (- y x) 6.0)
47.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
38.0ms	(* (* (- y x) 6.0) (neg z))
37.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	522	590
1	2794	509
2	5001	509

prune495.0ms

Filtered

110 candidates to 75 candidates (31.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	110	5	115

Merged error: 0.0b

Counts

115 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

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

series154.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* x z) (* z y))
57.0ms	(+ (* 4.0 y) (* 6.0 (- (* x z) (* z y))))
56.0ms	(* 6.0 (- (* x z) (* z y)))

simplify35.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	237	388
1	1021	343
2	5002	334

prune141.0ms

Filtered

60 candidates to 42 candidates (30.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	60	5	65

Merged error: 0.0b

Counts

65 → 5

regimes265.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample729.0ms

Algorithm

intervals

Results

316.0ms	9336×	body	80	valid
32.0ms	261×	body	640	valid
21.0ms	136×	body	1280	valid
19.0ms	212×	body	320	valid
7.0ms	114×	body	160	valid

Details

sample30.0ms

simplify115.0ms

prune4.0ms

localize13.0ms

rewrite34.0ms

series192.0ms

simplify58.0ms

prune395.0ms

localize9.0ms

rewrite38.0ms

series196.0ms

simplify53.0ms

prune437.0ms

localize14.0ms

rewrite28.0ms

series157.0ms

simplify66.0ms

prune495.0ms

localize8.0ms

rewrite15.0ms

series154.0ms

simplify35.0ms

prune141.0ms

regimes265.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample729.0ms

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