Details

sample858.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 18.064476%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

8.0ms	226×	body	80	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	13×	body	80	invalid
0.0ms	2×	body	160	valid

simplify110.0ms

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

rewrite32.0ms

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)
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)
12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
4.0ms	(* (- y x) 6.0)
11.0ms	(* (* (- 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

prune136.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.0b	(+ x (* (- y x) (* 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)
9.0ms	(* 6.0 (- (/ 2.0 3.0) z))
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
13.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (/ 2.0 3.0) z)
5.0ms	(* 6.0 (- (/ 2.0 3.0) z))
13.0ms	(+ x (* (- y x) (* 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

prune145.0ms

Filtered

69 candidates to 109 candidates (-58.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ x (+ (* (* (- y x) 6.0) (/ 2.0 3.0)) (* (* (- y x) 6.0) (neg z))))
0.3b	(* (* (- y x) 6.0) (neg z))
0.4b	(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

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

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- y x) 6.0)
12.0ms	(+ x (+ (* (* (- y x) 6.0) (/ 2.0 3.0)) (* (* (- y x) 6.0) (neg z))))
7.0ms	(* (* (- y x) 6.0) (neg z))
4.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	560	725
1	3023	616
2	5001	616

prune133.0ms

Filtered

77 candidates to 115 candidates (-49.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	115	8	123

Merged error: 0.0b

Counts

123 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.6b	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.6b	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

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

series477.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
88.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
87.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
89.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify56.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	463	2031
1	1619	1918
2	5001	1705

prune288.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

regimes391.0ms

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	15	6
1	15	6

end0.0ms

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 18.064476%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

270.0ms	7263×	body	80	valid
35.0ms	262×	body	640	valid
30.0ms	178×	body	1280	valid
19.0ms	191×	body	320	valid
14.0ms	287×	body	80	invalid
7.0ms	106×	body	160	valid

Details

sample858.0ms

simplify110.0ms

prune3.0ms

localize8.0ms

rewrite32.0ms

series29.0ms

simplify54.0ms

prune136.0ms

localize8.0ms

rewrite36.0ms

series31.0ms

simplify51.0ms

prune145.0ms

localize11.0ms

rewrite38.0ms

series28.0ms

simplify78.0ms

prune133.0ms

localize14.0ms

rewrite17.0ms

series477.0ms

simplify56.0ms

prune288.0ms

regimes391.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

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