Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

372×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	329
1	34	329
2	80	329
3	192	329
4	336	329
5	510	329
6	743	329
7	1004	329
8	1132	329
9	1375	329
10	1999	329
11	2792	329
12	3891	329
13	4795	329
done	5001	329

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.2b	(* (* a 27.0) b)
7.7b	(* (* (* y 9.0) z) t)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 72

Calls

4 calls:

39.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
16.0ms	(* (* y 9.0) z)
21.0ms	(* (* a 27.0) b)
47.0ms	(* (* (* y 9.0) z) t)

series260.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
19.0ms	(* (* y 9.0) z)
21.0ms	(* (* a 27.0) b)
34.0ms	(* (* (* y 9.0) z) t)

simplify1.9s

Counts

84 → 84

Iterations

Useful iterations: 2 (392.0ms)

Iter	Nodes	Cost
0	140	18024
1	378	16550
2	1367	15510
done	5003	15510

prune421.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
5.3b	(* (* y 9.0) (* z t))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
4×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
2×	`associate-+l+` `sum-log` `associate-l` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

3 → 55

Calls

3 calls:

40.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
27.0ms	(* (* a 27.0) b)
34.0ms	(* (* y 9.0) (* z t))

series291.0ms

Counts

3 → 9

Calls

3 calls:

222.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
27.0ms	(* (* a 27.0) b)
41.0ms	(* (* y 9.0) (* z t))

simplify1.8s

Counts

64 → 64

Iterations

Useful iterations: 2 (395.0ms)

Iter	Nodes	Cost
0	123	15409
1	332	14087
2	1269	13127
done	5002	13127

prune325.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* 9.0 (* z t))
5.1b	(* y (* 9.0 (* z t)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`associate-r`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 72

Calls

4 calls:

24.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
14.0ms	(* (* a 27.0) b)
13.0ms	(* 9.0 (* z t))
36.0ms	(* y (* 9.0 (* z t)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
22.0ms	(* (* a 27.0) b)
19.0ms	(* 9.0 (* z t))
31.0ms	(* y (* 9.0 (* z t)))

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: 2 (355.0ms)

Iter	Nodes	Cost
0	137	17944
1	356	16552
2	1317	15672
done	5002	15672

prune528.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
0.4b	(* a (* 27.0 b))
5.3b	(* (* y 9.0) (* z t))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
4×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
2×	`associate-+l+` `sum-log` `associate-r` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

3 → 55

Calls

3 calls:

27.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
12.0ms	(* a (* 27.0 b))
21.0ms	(* (* y 9.0) (* z t))

series248.0ms

Counts

3 → 9

Calls

3 calls:

194.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
21.0ms	(* a (* 27.0 b))
33.0ms	(* (* y 9.0) (* z t))

simplify1.8s

Counts

64 → 64

Iterations

Useful iterations: 2 (374.0ms)

Iter	Nodes	Cost
0	120	15369
1	319	14088
2	1227	13128
done	5006	13128

prune376.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes1.6s

Accuracy

91% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.5b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	991
1	50	991
done	50	991

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s

10939×

body

valid