Details

sample27.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

11.0ms	306×	body	80	valid
1.0ms	10×	body	320	valid
1.0ms	4×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	4×	body	160	valid

simplify109.0ms

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

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)
0.4b	(* (* (- 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:

9.0ms	(- (/ 2.0 3.0) z)
4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
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)
12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
4.0ms	(* (- y x) 6.0)
9.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (10.0ms)

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

prune135.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Merged error: 0.1b

Counts

98 → 7

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)))

rewrite36.0ms

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

series29.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
15.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
3.0ms	(* 6.0 (- (/ 2.0 3.0) z))
9.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (10.0ms)

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

prune125.0ms

Filtered

69 candidates to 109 candidates (-58.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	109	7	116

Merged error: 0.0b

Counts

116 → 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)))

rewrite15.0ms

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

series26.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- 4.0 (* 6.0 z))
14.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
9.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

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

prune91.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

localize11.0ms

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))
0.4b	(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite32.0ms

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)))
9.0ms	(* (* (- y x) 6.0) (neg z))
11.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series22.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- y x) 6.0)
5.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
8.0ms	(* (* (- y x) 6.0) (neg z))
4.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (13.0ms)

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

prune115.0ms

Filtered

75 candidates to 110 candidates (-46.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

regimes305.0ms

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	13	5
1	13	5

end0.0ms

sample757.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

373.0ms	9405×	body	80	valid
37.0ms	256×	body	640	valid
30.0ms	167×	body	1280	valid
23.0ms	204×	body	320	valid
9.0ms	119×	body	160	valid

Details

sample27.0ms

simplify109.0ms

prune3.0ms

localize8.0ms

rewrite34.0ms

series28.0ms

simplify53.0ms

prune135.0ms

localize8.0ms

rewrite36.0ms

series29.0ms

simplify50.0ms

prune125.0ms

localize7.0ms

rewrite15.0ms

series26.0ms

simplify39.0ms

prune91.0ms

localize11.0ms

rewrite32.0ms

series22.0ms

simplify69.0ms

prune115.0ms

regimes305.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample757.0ms

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