Details

sample66.0ms

Algorithm

intervals

Results

34.0ms	292×	body	80	valid
4.0ms	7×	body	1280	valid
4.0ms	8×	body	640	valid
1.0ms	4×	body	320	valid
1.0ms	5×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize33.0ms

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))

rewrite112.0ms

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` `insert-posit16`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-r/` `-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

9.0ms	(- (/ 2.0 3.0) z)
23.0ms	(* (- y x) 6.0)
9.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
69.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series219.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
41.0ms	(* (- y x) 6.0)
98.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
56.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5007
2	1633
1	454
0	160

prune503.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))))
0.1b	(* 6.0 (- (/ 2.0 3.0) z))
0.2b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite123.0ms

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` `insert-posit16`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-l/` `-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

9.0ms	(- (/ 2.0 3.0) z)
11.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
26.0ms	(* 6.0 (- (/ 2.0 3.0) z))
74.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (/ 2.0 3.0) z)
110.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
74.0ms	(* 6.0 (- (/ 2.0 3.0) z))
60.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.8s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1627
1	461
0	167

prune500.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

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

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-l`
23×	`add-cbrt-cube` `add-exp-log`
20×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`pow1` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
9×	`times-frac` `associate-*l/`
7×	`pow-prod-down`
6×	`add-log-exp`
5×	`associate-r`
4×	`flip3--` `associate-*r/` `insert-posit16` `flip--`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative`
2×	`frac-times` `cbrt-undiv` `div-exp`
1×	`distribute-lft-neg-out` `+-commutative` `neg-mul-1` `sum-log` `flip3-+` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

29.0ms	(* (- y x) 6.0)
14.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
27.0ms	(* (- z) (* (- y x) 6.0))
67.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series225.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- y x) 6.0)
75.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
74.0ms	(* (- z) (* (- y x) 6.0))
39.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify1.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	1739
1	509
0	181

prune613.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-l`
13×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-log-exp`
9×	`add-cube-cbrt`
8×	`associate-*l/`
7×	`flip3--` `flip--`
6×	`associate-*r/`
4×	`associate-r` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`associate-+l+` `sum-log` `sub-neg` `diff-log` `*-commutative`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `associate-+l-` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

32.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (- z) (* (- y x) 6.0)))
16.0ms	(* (- y x) 6.0)
7.0ms	(- (* 4.0 y) (* 3.0 x))
34.0ms	(* (- z) (* (- y x) 6.0))

series270.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (- z) (* (- y x) 6.0)))
37.0ms	(* (- y x) 6.0)
58.0ms	(- (* 4.0 y) (* 3.0 x))
79.0ms	(* (- z) (* (- y x) 6.0))

simplify1.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5006
2	1796
1	482
0	159

prune412.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes288.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s	9295×	body	80	valid
111.0ms	167×	body	1280	valid
76.0ms	253×	body	640	valid
73.0ms	209×	body	320	valid
17.0ms	119×	body	160	valid