Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	306×	body	80	valid
1.0ms	8×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify114.0ms

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: 0.4b

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

rewrite37.0ms

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

series149.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
28.0ms	(* (- y x) 6.0)
61.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
42.0ms	(* (* (- 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

prune189.0ms

Filtered

97 candidates to 67 candidates (69.1%)

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: 0.0b

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)))

rewrite41.0ms

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))
16.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
60.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
39.0ms	(* 6.0 (- (/ 2.0 3.0) z))
41.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

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

prune217.0ms

Filtered

109 candidates to 70 candidates (64.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Merged error: 0.0b

Counts

116 → 8

localize18.0ms

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

rewrite45.0ms

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:

9.0ms	(* (- y x) 6.0)
3.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
13.0ms	(* (* (- y x) 6.0) (- z))
17.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series128.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- y x) 6.0)
39.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
32.0ms	(* (* (- y x) 6.0) (- z))
29.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	522	590
1	2823	509
2	5001	509

prune230.0ms

Filtered

110 candidates to 75 candidates (68.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	111	7	118

Merged error: 0.0b

Counts

118 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
13×	`add-sqr-sqrt` `associate-r`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
9×	`add-cube-cbrt`
7×	`flip3--` `flip--`
6×	`associate-l`
4×	`pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`sub-neg` `associate-+l+` `diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `neg-mul-1` `flip3-+` `unsub-neg` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

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

series157.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (* (- y x) 6.0) (- z)))
35.0ms	(- (* 4.0 y) (* 3.0 x))
28.0ms	(* (- y x) 6.0)
34.0ms	(* (* (- y x) 6.0) (- z))

simplify68.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	495	654
1	2372	606
2	5003	603

prune202.0ms

Filtered

95 candidates to 67 candidates (70.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	95	7	102

Merged error: 0.0b

Counts

102 → 7

regimes125.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	25	8
2	32	8
3	32	8

end0.0ms

sample570.0ms

Algorithm

intervals

Results

277.0ms	9446×	body	80	valid
30.0ms	281×	body	640	valid
19.0ms	147×	body	1280	valid
18.0ms	193×	body	320	valid
7.0ms	125×	body	160	valid