Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	298×	body	80	valid
2.0ms	14×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	3×	body	1280	valid
0.0ms	6×	body	160	valid

simplify107.0ms

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: 0.6b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.1b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.5b	(* (* (- 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:

7.0ms	(- (/ 2.0 3.0) z)
9.0ms	(* (- 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))

series153.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
30.0ms	(* (- y x) 6.0)
62.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
42.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify58.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (12.0ms)

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

prune190.0ms

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	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite37.0ms

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)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
37.0ms	(* 6.0 (- (/ 2.0 3.0) z))
61.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
44.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

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

prune178.0ms

Filtered

109 candidates to 69 candidates (63.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	109	9	118

Merged error: 0.0b

Counts

118 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
0.5b	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

rewrite28.0ms

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:

10.0ms	(* (- y x) 6.0)
4.0ms	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
10.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

series136.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- y x) 6.0)
62.0ms	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
46.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (11.0ms)

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

prune134.0ms

Filtered

78 candidates to 51 candidates (65.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (- y x) 6.0) (- 0.6666666666666666 z))
0.5b	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
0.5b	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
0.5b	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-cube-cbrt` `associate-*l/`
6×	`cbrt-div` `flip3--` `flip--`
5×	`associate-r`
4×	`frac-times` `add-log-exp`
3×	`flip3-+` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 71

Calls

4 calls:

10.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))
2.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
2.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
2.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))

series1.4s

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))
457.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
456.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
447.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))

simplify58.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	496	1101
1	1998	1044
2	5001	1035

prune250.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	81	11	92

Merged error: 0.0b

Counts

92 → 11

regimes151.0ms

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

sample672.0ms

Algorithm

intervals

Results

344.0ms	9393×	body	80	valid
36.0ms	265×	body	640	valid
23.0ms	142×	body	1280	valid
21.0ms	194×	body	320	valid
10.0ms	143×	body	160	valid