Details

sample883.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 17.944336%

Guaranteed chance to sample good point: 81.047307%

Results

9.0ms	239×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	5×	body	80	invalid

simplify112.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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

series30.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
4.0ms	(* (- y x) 6.0)
15.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
9.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify56.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (12.0ms)

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

prune149.0ms

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

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:

7.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
10.0ms	(* 6.0 (- (/ 2.0 3.0) z))
14.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (/ 2.0 3.0) z)
13.0ms	(+ 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)))

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

prune129.0ms

Filtered

69 candidates to 109 candidates (-58.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	109	8	117

Merged error: 0.0b

Counts

117 → 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))))

series478.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
89.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
88.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
91.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

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

prune312.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `associate--l+` `*-commutative` `flip--` `flip-+`

Counts

3 → 43

Calls

3 calls:

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

series19.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (* 6.0 (* x z)) (* 4.0 y))
8.0ms	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
3.0ms	(* 6.0 (* x z))

simplify123.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	234	309
1	891	286
2	3894	278
3	5002	278

prune51.0ms

Filtered

33 candidates to 52 candidates (-57.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	52	8	60

Merged error: 0.0b

Counts

60 → 8

regimes365.0ms

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

sample1.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 17.944336%

Guaranteed chance to sample good point: 81.047307%

Results

275.0ms	7257×	body	80	valid
34.0ms	258×	body	640	valid
26.0ms	158×	body	1280	valid
21.0ms	210×	body	320	valid
13.0ms	365×	body	80	invalid
10.0ms	117×	body	160	valid

Details

sample883.0ms

simplify112.0ms

prune3.0ms

localize9.0ms

rewrite33.0ms

series30.0ms

simplify56.0ms

prune149.0ms

localize9.0ms

rewrite38.0ms

series29.0ms

simplify53.0ms

prune129.0ms

localize14.0ms

rewrite17.0ms

series478.0ms

simplify54.0ms

prune312.0ms

localize9.0ms

rewrite18.0ms

series19.0ms

simplify123.0ms

prune51.0ms

regimes365.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Profiling