Details

sample30.0ms

Algorithm

intervals

Results

12.0ms	287×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	5×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	246
1	21	246
2	48	246
3	160	246
4	517	246
5	1693	246
done	5001	246

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

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))

rewrite167.0ms

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:

26.0ms	(- (/ 2.0 3.0) z)
35.0ms	(* (- y x) 6.0)
18.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
85.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series201.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ 2.0 3.0) z)
36.0ms	(* (- y x) 6.0)
84.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
60.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.9s

Counts

97 → 97

Iterations

Useful iterations: 2 (518.0ms)

Iter	Nodes	Cost
0	156	26793
1	450	23542
2	2299	23022
done	5000	23022

prune583.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite174.0ms

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:

26.0ms	(- (/ 2.0 3.0) z)
46.0ms	(* 6.0 (- (/ 2.0 3.0) z))
11.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
85.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ 2.0 3.0) z)
74.0ms	(* 6.0 (- (/ 2.0 3.0) z))
104.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
62.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.6s

Counts

109 → 109

Iterations

Useful iterations: 2 (456.0ms)

Iter	Nodes	Cost
0	163	30208
1	463	27118
2	1827	26598
done	5002	26598

prune523.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.0b	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.1b	(* (- y x) (- 4.0 (* 6.0 z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

4.0ms	(- 4.0 (* 6.0 z))
6.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
32.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- 4.0 (* 6.0 z))
73.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
62.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

simplify1.3s

Counts

68 → 68

Iterations

Useful iterations: 2 (313.0ms)

Iter	Nodes	Cost
0	115	19745
1	325	17167
2	1390	16887
done	5000	16887

prune406.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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

rewrite158.0ms

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:

20.0ms	(* (- y x) 6.0)
24.0ms	(* (- y x) 6.0)
50.0ms	(* (* (- y x) 6.0) (- z))
58.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (- y x) 6.0)
34.0ms	(* (- y x) 6.0)
37.0ms	(* (* (- y x) 6.0) (- z))
39.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify2.7s

Counts

121 → 121

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	169	25547
1	484	22404
2	3229	22080
done	5000	21840

prune603.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes262.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	205
1	13	205
done	13	205

end0.0ms

sample1.4s

Algorithm

intervals

Results

970.0ms	9450×	body	80	valid
58.0ms	187×	body	320	valid
56.0ms	264×	body	640	valid
33.0ms	140×	body	1280	valid
10.0ms	102×	body	160	valid