Details

sample64.0ms

Algorithm

intervals

Results

30.0ms	310×	body	80	valid
3.0ms	9×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	7×	body	320	valid
1.0ms	5×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	246
1	21	246
2	47	246
3	157	246
4	474	246
5	992	246
6	2115	246
done	5003	246

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize36.0ms

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))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
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` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

16.0ms	(- (/ 2.0 3.0) z)
10.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
19.0ms	(* (- y x) 6.0)
81.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series219.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ 2.0 3.0) z)
94.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
47.0ms	(* (- y x) 6.0)
57.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.7s

Counts

97 → 97

Iterations

Useful iterations: 2 (502.0ms)

Iter	Nodes	Cost
0	156	26793
1	450	23542
2	1631	23022
done	5008	23022

prune512.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`*-un-lft-identity`
11×	`pow1` `sub-neg` `add-cbrt-cube` `add-exp-log`
10×	`associate-*r/`
8×	`associate-+r+` `flip3--` `associate-l` `flip--` `add-log-exp`
7×	`associate-r` `add-cube-cbrt`
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` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

17.0ms	(- (/ 2.0 3.0) z)
19.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
41.0ms	(* 6.0 (- (/ 2.0 3.0) z))
61.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (/ 2.0 3.0) z)
96.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
53.0ms	(* 6.0 (- (/ 2.0 3.0) z))
57.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.8s

Counts

109 → 109

Iterations

Useful iterations: 2 (475.0ms)

Iter	Nodes	Cost
0	163	30208
1	458	27118
2	1626	26598
done	5001	26598

prune607.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) (- z))
0.4b	(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
25×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
14×	`associate-*l/`
12×	`associate-l`
11×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`*-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`frac-times` `cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-*r/` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 109

Calls

4 calls:

31.0ms	(* (- y x) 6.0)
20.0ms	(* (- y x) 6.0)
34.0ms	(* (* (- y x) 6.0) (- z))
44.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series186.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- y x) 6.0)
49.0ms	(* (- y x) 6.0)
54.0ms	(* (* (- y x) 6.0) (- z))
49.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify1.8s

Counts

121 → 121

Iterations

Useful iterations: 2 (576.0ms)

Iter	Nodes	Cost
0	169	25547
1	482	22404
2	1663	21200
done	5000	21200

prune570.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube` `add-exp-log`
24×	`add-sqr-sqrt`
22×	`associate-r`
20×	`*-un-lft-identity`
18×	`pow1`
16×	`add-cube-cbrt`
12×	`associate-l`
11×	`prod-exp` `cbrt-unprod`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
8×	`pow-prod-down` `associate-*l/`
7×	`associate-*r/`
6×	`sub-neg`
5×	`flip3--` `flip--`
4×	`*-commutative` `add-log-exp`
2×	`frac-times` `cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`div-inv`

Counts

4 → 113

Calls

4 calls:

19.0ms	(* z (- x y))
31.0ms	(* (- y x) 6.0)
26.0ms	(* 6.0 (* z (- x y)))
45.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series183.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* z (- x y))
33.0ms	(* (- y x) 6.0)
66.0ms	(* 6.0 (* z (- x y)))
34.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify1.9s

Counts

125 → 125

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	193	25620
1	523	22638
2	1811	21436
done	5001	21276

prune605.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes511.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify17.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	326
1	21	326
2	25	326
3	32	326
done	32	326

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s	9428×	body	80	valid
58.0ms	279×	body	640	valid
46.0ms	160×	body	1280	valid
33.0ms	207×	body	320	valid
11.0ms	98×	body	160	valid