Details

sample65.0ms

Algorithm

intervals

Results

34.0ms	294×	body	80	valid
4.0ms	9×	body	640	valid
3.0ms	6×	body	1280	valid
2.0ms	6×	body	320	valid
1.0ms	3×	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: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.2b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite139.0ms

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:

10.0ms	(- (/ 2.0 3.0) z)
25.0ms	(* (- y x) 6.0)
18.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
86.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series217.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ 2.0 3.0) z)
46.0ms	(* (- y x) 6.0)
89.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
61.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5007
2	1633
1	454
0	160

prune419.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
0.2b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

rewrite93.0ms

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:

10.0ms	(- (/ 2.0 3.0) z)
25.0ms	(* 6.0 (- (/ 2.0 3.0) z))
45.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
11.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

series188.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ 2.0 3.0) z)
43.0ms	(* 6.0 (- (/ 2.0 3.0) z))
49.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
72.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

simplify1.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5004
2	1686
1	467
0	167

prune438.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(+ x (+ (* (/ 2.0 3.0) (* (- y x) 6.0)) (* (- z) (* (- y x) 6.0))))
0.3b	(* (/ 2.0 3.0) (* (- y x) 6.0))
0.5b	(* (- z) (* (- y x) 6.0))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

15.0ms	(* (- y x) 6.0)
52.0ms	(+ x (+ (* (/ 2.0 3.0) (* (- y x) 6.0)) (* (- z) (* (- y x) 6.0))))
29.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))
31.0ms	(* (- z) (* (- y x) 6.0))

series272.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- y x) 6.0)
103.0ms	(+ x (+ (* (/ 2.0 3.0) (* (- y x) 6.0)) (* (- z) (* (- y x) 6.0))))
49.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))
78.0ms	(* (- z) (* (- y x) 6.0))

simplify1.7s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	1966
1	542
0	189

prune500.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 4.0 (- y x)) (* 6.0 (* y z)))
0.2b	(+ x (- (* 4.0 (- y x)) (* 6.0 (* y z))))
0.2b	(* 6.0 (* y z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-cbrt-cube` `associate--l+` `add-exp-log`
6×	`associate-+r+` `sub-neg` `*-un-lft-identity`
4×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`sum-log` `diff-log`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `associate-r` `*-commutative` `flip-+` `flip--` `distribute-lft-out`

Counts

3 → 57

Calls

3 calls:

34.0ms	(- (* 4.0 (- y x)) (* 6.0 (* y z)))
27.0ms	(+ x (- (* 4.0 (- y x)) (* 6.0 (* y z))))
25.0ms	(* 6.0 (* y z))

series185.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* 4.0 (- y x)) (* 6.0 (* y z)))
85.0ms	(+ x (- (* 4.0 (- y x)) (* 6.0 (* y z))))
30.0ms	(* 6.0 (* y z))

simplify2.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	3319
2	773
1	261
0	102

prune238.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes266.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s	9469×	body	80	valid
120.0ms	134×	body	1280	valid
92.0ms	267×	body	640	valid
53.0ms	197×	body	320	valid
18.0ms	103×	body	160	valid