Details

sample36.0ms

Algorithm

intervals

Results

14.0ms	310×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	5×	body	160	valid
0.0ms	3×	body	320	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

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))

rewrite133.0ms

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:

18.0ms	(- (/ 2.0 3.0) z)
25.0ms	(* (- y x) 6.0)
13.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
73.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series173.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
34.0ms	(* (- y x) 6.0)
70.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
48.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.4s

Counts

97 → 97

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	156	1335
1	449	1273
2	2304	1169
done	5002	1163

prune294.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite278.0ms

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:

26.0ms	(- (/ 2.0 3.0) z)
87.0ms	(* (- (/ 2.0 3.0) z) 6.0)
24.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
136.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series222.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ 2.0 3.0) z)
52.0ms	(* (- (/ 2.0 3.0) z) 6.0)
82.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
62.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify895.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (231.0ms)

Iter	Nodes	Cost
0	148	1272
1	401	1220
2	1637	1102
done	5001	1102

prune308.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) 6.0)
0.1b	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
0.3b	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

22.0ms	(* (- y x) 6.0)
13.0ms	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
69.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

series202.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (- y x) 6.0)
91.0ms	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
70.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

simplify1.4s

Counts

78 → 78

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	142	1024
1	408	971
2	2118	889
done	5001	883

prune212.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- 0.6666666666666666 z))
0.1b	(+ x (pow (* 6.0 (* (- y x) (- 0.6666666666666666 z))) 1))
0.4b	(* 6.0 (* (- y x) (- 0.6666666666666666 z)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

38.0ms	(* (- y x) (- 0.6666666666666666 z))
9.0ms	(+ x (pow (* 6.0 (* (- y x) (- 0.6666666666666666 z))) 1))
54.0ms	(* 6.0 (* (- y x) (- 0.6666666666666666 z)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* (- y x) (- 0.6666666666666666 z))
90.0ms	(+ x (pow (* 6.0 (* (- y x) (- 0.6666666666666666 z))) 1))
47.0ms	(* 6.0 (* (- y x) (- 0.6666666666666666 z)))

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	157	1282
1	441	1191
2	2000	1087
done	5000	1081

prune221.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	15	13
done	15	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

944.0ms	9433×	body	80	valid
77.0ms	265×	body	640	valid
63.0ms	141×	body	1280	valid
31.0ms	189×	body	320	valid
10.0ms	112×	body	160	valid