Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	316×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	(* (- 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))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

8.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
23.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
18.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series168.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
31.0ms	(* (- y x) 6.0)
69.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
45.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify67.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	463	738
1	2177	686
2	5001	686

prune275.0ms

Filtered

116 candidates to 79 candidates (68.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	108	8	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

localize8.0ms

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))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

6.0ms	(* (- y x) 6.0)
19.0ms	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
14.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

series148.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (- y x) 6.0)
68.0ms	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
47.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

simplify63.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	424	566
1	1980	525
2	5003	525

prune214.0ms

Filtered

97 candidates to 64 candidates (66.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

localize10.0ms

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

9.0ms	(- (/ 2.0 3.0) z)
26.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
11.0ms	(* 6.0 (- (/ 2.0 3.0) z))
21.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ 2.0 3.0) z)
68.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
45.0ms	(* 6.0 (- (/ 2.0 3.0) z))
47.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	478	829
1	2264	773
2	5002	773

prune287.0ms

Filtered

128 candidates to 82 candidates (64.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	129	7	136

Merged error: 0.0b

Counts

136 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 97

Calls

3 calls:

18.0ms	(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
44.0ms	(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (- y x) (* 6.0 (- z))))
14.0ms	(* (- y x) (* 6.0 (- z)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
70.0ms	(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (- y x) (* 6.0 (- z))))
36.0ms	(* (- y x) (* 6.0 (- z)))

simplify93.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	541	933
1	2695	859
2	5001	857

prune242.0ms

Filtered

106 candidates to 67 candidates (63.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

regimes166.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample584.0ms

Algorithm

intervals

Results

300.0ms	9286×	body	80	valid
30.0ms	257×	body	640	valid
23.0ms	162×	body	1280	valid
16.0ms	177×	body	320	valid
9.0ms	103×	body	160	valid