Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

321×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	29	9
3	65	9
4	149	9
5	232	9
6	327	9
7	367	9
8	416	9
9	756	9
10	3223	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

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)

rewrite89.0ms

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:

11.0ms	(+ x (* (* (- y x) 6.0) z))
33.0ms	(* (- y x) 6.0)
42.0ms	(* (* (- y x) 6.0) z)

series162.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ x (* (* (- y x) 6.0) z))
44.0ms	(* (- y x) 6.0)
48.0ms	(* (* (- y x) 6.0) z)

simplify938.0ms

Counts

62 → 62

Iterations

Useful iterations: 2 (182.0ms)

Iter	Nodes	Cost
0	98	644
1	254	603
2	1302	521
done	5000	521

prune143.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

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:

18.0ms	(+ x (* (- y x) (* z 6.0)))
53.0ms	(* (- y x) (* z 6.0))

series115.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ x (* (- y x) (* z 6.0)))
56.0ms	(* (- y x) (* z 6.0))

simplify2.5s

Counts

39 → 39

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	75	468
1	206	438
2	722	376
3	3937	376
done	5000	376

prune107.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

7.0ms	(+ x (* (* z (- y x)) 6.0))
22.0ms	(* z (- y x))
41.0ms	(* (* z (- y x)) 6.0)

series149.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ x (* (* z (- y x)) 6.0))
38.0ms	(* z (- y x))
58.0ms	(* (* z (- y x)) 6.0)

simplify784.0ms

Counts

66 → 66

Iterations

Useful iterations: done (782.0ms)

Iter	Nodes	Cost
0	99	682
1	267	643
2	1190	559
done	5001	553

prune155.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

26.0ms	(* (- y x) z)
8.0ms	(+ x (* (* (sqrt 6.0) (* (- y x) z)) (sqrt 6.0)))
112.0ms	(* (* (sqrt 6.0) (* (- y x) z)) (sqrt 6.0))
62.0ms	(* (sqrt 6.0) (* (- y x) z))

series532.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- y x) z)
174.0ms	(+ x (* (* (sqrt 6.0) (* (- y x) z)) (sqrt 6.0)))
197.0ms	(* (* (sqrt 6.0) (* (- y x) z)) (sqrt 6.0))
129.0ms	(* (sqrt 6.0) (* (- y x) z))

simplify1.1s

Counts

94 → 94

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	133	1232
1	346	1107
2	1880	957
done	5001	817

prune249.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes165.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample882.0ms

Algorithm

intervals

Results

393.0ms

10121×

body

valid