Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

316×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	28	9
3	55	9
4	84	9
5	109	9
6	126	9
7	143	9
8	194	9
9	296	9
10	496	9
11	724	9
12	1039	9
13	1395	9
14	1997	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

2.0ms	(+ x (* (* (- y x) 6.0) z))
10.0ms	(* (- y x) 6.0)
15.0ms	(* (* (- y x) 6.0) z)

series116.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ x (* (* (- y x) 6.0) z))
34.0ms	(* (- y x) 6.0)
38.0ms	(* (* (- y x) 6.0) z)

simplify2.5s

Counts

62 → 62

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	98	644
1	246	603
2	910	521
3	4417	521
done	5000	521

prune129.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ x (* (- y x) (* 6.0 z)))
14.0ms	(* (- y x) (* 6.0 z))

series88.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ x (* (- y x) (* 6.0 z)))
40.0ms	(* (- y x) (* 6.0 z))

simplify1.2s

Counts

39 → 39

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	75	468
1	207	438
2	660	376
3	2905	376
done	5001	376

prune82.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.3b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.6b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`-un-lft-identity` `associate-l/`
10×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l` `sqrt-prod`
6×	`add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 83

Calls

4 calls:

2.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
70.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
12.0ms	(* (- y x) (sqrt 6.0))
20.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series490.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
159.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
62.0ms	(* (- y x) (sqrt 6.0))
95.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify747.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	130	1313
1	336	923
2	1374	791
done	5000	791

prune177.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

6.0ms	(+ x (* 6.0 (- (* z y) (* x z))))
2.0ms	(- (* z y) (* x z))
10.0ms	(* 6.0 (- (* z y) (* x z)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ x (* 6.0 (- (* z y) (* x z))))
40.0ms	(- (* z y) (* x z))
53.0ms	(* 6.0 (- (* z y) (* x z)))

simplify1.9s

Counts

60 → 60

Iterations

Useful iterations: 3 (623.0ms)

Iter	Nodes	Cost
0	82	797
1	218	754
2	760	578
3	3549	576
done	5001	576

prune119.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample434.0ms

Algorithm

intervals

Results

231.0ms

10125×

body

valid