Details

sample65.0ms

Algorithm

intervals

Results

24.0ms	316×	body	80	valid
3.0ms	12×	body	640	valid
2.0ms	5×	body	1280	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	48	13
3	160	13
4	522	13
5	1658	13
done	5000	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

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))

rewrite257.0ms

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:

39.0ms	(- (/ 2.0 3.0) z)
25.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
45.0ms	(* (- y x) 6.0)
142.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series306.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (/ 2.0 3.0) z)
120.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
59.0ms	(* (- y x) 6.0)
88.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.3s

Counts

97 → 97

Iterations

Useful iterations: 2 (569.0ms)

Iter	Nodes	Cost
0	156	1335
1	449	1273
2	2303	1163
done	5002	1163

prune687.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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))

rewrite339.0ms

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:

31.0ms	(- (/ 2.0 3.0) z)
33.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
102.0ms	(* (- (/ 2.0 3.0) z) 6.0)
169.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series302.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (/ 2.0 3.0) z)
117.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
74.0ms	(* (- (/ 2.0 3.0) z) 6.0)
78.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify1.8s

Counts

89 → 89

Iterations

Useful iterations: 2 (373.0ms)

Iter	Nodes	Cost
0	148	1272
1	401	1220
2	1638	1102
done	5000	1102

prune568.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

9.0ms	(- 4.0 (* 6.0 z))
16.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
66.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- 4.0 (* 6.0 z))
101.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
90.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

simplify1.1s

Counts

68 → 68

Iterations

Useful iterations: 2 (263.0ms)

Iter	Nodes	Cost
0	115	969
1	324	920
2	1382	860
done	5002	860

prune449.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

33.0ms	(- (/ 2.0 3.0) z)
20.0ms	(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
122.0ms	(* (- y x) (- (/ 2.0 3.0) z))
156.0ms	(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)

series302.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (/ 2.0 3.0) z)
116.0ms	(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
66.0ms	(* (- y x) (- (/ 2.0 3.0) z))
82.0ms	(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)

simplify1.8s

Counts

99 → 99

Iterations

Useful iterations: 2 (442.0ms)

Iter	Nodes	Cost
0	162	1489
1	453	1433
2	2093	1293
done	5001	1293

prune661.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes522.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

920.0ms	9444×	body	80	valid
120.0ms	276×	body	640	valid
102.0ms	150×	body	1280	valid
39.0ms	189×	body	320	valid
17.0ms	120×	body	160	valid