Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	293×	body	80	valid
1.0ms	8×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	160	valid

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

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: 0.3b

Counts

2 → 1

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

rewrite36.0ms

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:

10.0ms	(- (/ 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))

series154.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
63.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
29.0ms	(* (- y x) 6.0)
43.0ms	(* (* (- 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

prune193.0ms

Filtered

97 candidates to 67 candidates (69.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

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)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
65.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
39.0ms	(* 6.0 (- (/ 2.0 3.0) z))
48.0ms	(* (- 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

prune193.0ms

Filtered

109 candidates to 69 candidates (63.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	108	10	118

Merged error: 0.0b

Counts

118 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) 6.0)
0.1b	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
0.3b	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

6.0ms	(* (- y x) 6.0)
3.0ms	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
10.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

series134.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- y x) 6.0)
62.0ms	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
43.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	396	465
1	1863	424
2	5003	424

prune140.0ms

Filtered

78 candidates to 51 candidates (65.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	78	10	88

Merged error: 0.0b

Counts

88 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (- 0.6666666666666666 z)) (cbrt (- 0.6666666666666666 z)))
0.8b	(cbrt (- 0.6666666666666666 z))
0.8b	(cbrt (- 0.6666666666666666 z))
0.8b	(cbrt (- 0.6666666666666666 z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- 0.6666666666666666 z)) (cbrt (- 0.6666666666666666 z)))
3.0ms	(cbrt (- 0.6666666666666666 z))
3.0ms	(cbrt (- 0.6666666666666666 z))
3.0ms	(cbrt (- 0.6666666666666666 z))

series374.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (cbrt (- 0.6666666666666666 z)) (cbrt (- 0.6666666666666666 z)))
89.0ms	(cbrt (- 0.6666666666666666 z))
88.0ms	(cbrt (- 0.6666666666666666 z))
89.0ms	(cbrt (- 0.6666666666666666 z))

simplify144.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	335	848
1	1072	807
2	4708	753
3	5001	749

prune271.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	113	10	123

Merged error: 0.0b

Counts

123 → 10

regimes140.0ms

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

sample628.0ms

Algorithm

intervals

Results

336.0ms	9524×	body	80	valid
32.0ms	252×	body	640	valid
23.0ms	145×	body	1280	valid
20.0ms	181×	body	320	valid
7.0ms	112×	body	160	valid