Details

sample53.0ms

Algorithm

intervals

Results

29.0ms	314×	body	80	valid
2.0ms	8×	body	640	valid
2.0ms	5×	body	1280	valid
1.0ms	6×	body	320	valid

simplify12.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	48	13
3	160	13
4	421	13
5	914	13
6	1612	13
7	2564	13
8	3650	13
9	4633	13
10	4967	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

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:

21.0ms	(* (- y x) 6.0)
17.0ms	(- (/ 2.0 3.0) z)
19.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
104.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series175.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- y x) 6.0)
21.0ms	(- (/ 2.0 3.0) z)
72.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
51.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify969.0ms

Counts

97 → 97

Iterations

Useful iterations: done (966.0ms)

Iter	Nodes	Cost
0	156	1335
1	434	1273
2	1798	1163
done	5002	1157

prune292.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

17.0ms	(- (/ 2.0 3.0) z)
17.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
62.0ms	(* (- (/ 2.0 3.0) z) 6.0)
92.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series182.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
70.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
41.0ms	(* (- (/ 2.0 3.0) z) 6.0)
50.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify914.0ms

Counts

89 → 89

Iterations

Useful iterations: done (911.0ms)

Iter	Nodes	Cost
0	148	1272
1	396	1220
2	1480	1102
done	5002	1096

prune311.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))) (* (* (- y x) 6.0) (- z)))
0.3b	(* (* (- y x) 6.0) (- z))
0.4b	(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt` `associate-*l/`
18×	`*-un-lft-identity`
16×	`pow1` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
9×	`times-frac` `add-log-exp`
7×	`associate-l` `pow-prod-down`
6×	`flip3--` `flip--`
4×	`frac-add`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `sum-log` `*-commutative` `distribute-rgt-neg-out` `flip-+`
2×	`cbrt-undiv` `frac-times` `div-exp`
1×	`+-commutative` `neg-mul-1` `associate-+l+` `associate-*r/` `unsub-neg` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

22.0ms	(* (- y x) 6.0)
31.0ms	(+ (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))) (* (* (- y x) 6.0) (- z)))
38.0ms	(* (* (- y x) 6.0) (- z))
44.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series175.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- y x) 6.0)
70.0ms	(+ (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))) (* (* (- y x) 6.0) (- z)))
36.0ms	(* (* (- y x) 6.0) (- z))
37.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify1.9s

Counts

118 → 118

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	220	1893
1	663	1658
2	3046	1474
done	5000	1469

prune347.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

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`
6×	`associate-l`
4×	`associate-+r+` `flip3--` `flip3-+` `pow-prod-down` `frac-add` `prod-exp` `sum-log` `flip--` `cbrt-unprod` `flip-+`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `*-commutative`
1×	`neg-mul-1` `associate-+l+` `unsub-neg` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

12.0ms	(+ x (* 4.0 (- y x)))
26.0ms	(* (- y x) 6.0)
30.0ms	(+ (+ x (* 4.0 (- y x))) (* (* (- y x) 6.0) (- z)))
51.0ms	(* (* (- y x) 6.0) (- z))

series197.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ x (* 4.0 (- y x)))
31.0ms	(* (- y x) 6.0)
74.0ms	(+ (+ x (* 4.0 (- y x))) (* (* (- y x) 6.0) (- z)))
37.0ms	(* (* (- y x) 6.0) (- z))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	164	1380
1	493	1270
2	2096	1124
done	5000	1102

prune251.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
1	26	19
2	34	19
3	42	19
done	42	19

end0.0ms

sample1.5s

Algorithm

intervals

Results

604.0ms	9394×	body	80	valid
527.0ms	262×	body	640	valid
31.0ms	134×	body	1280	valid
27.0ms	197×	body	320	valid
10.0ms	109×	body	160	valid