Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

319×

body

valid

simplify4.7s

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	128	9
5	158	9
6	167	9
7	184	9
8	233	9
9	300	9
10	326	9
11	374	9
12	448	9
13	466	9
14	481	9
15	497	9
16	583	9
17	642	9
18	812	9
19	880	9
20	995	9
21	999	9
done	999	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

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)

rewrite108.0ms

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:

10.0ms	(+ x (* (* (- y x) 6.0) z))
35.0ms	(* (- y x) 6.0)
61.0ms	(* (* (- y x) 6.0) z)

series162.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ x (* (* (- y x) 6.0) z))
37.0ms	(* (- y x) 6.0)
48.0ms	(* (* (- y x) 6.0) z)

simplify4.4s

Counts

62 → 62

Iterations

Useful iterations: 2 (217.0ms)

Iter	Nodes	Cost
0	98	644
1	245	603
2	914	521
3	4600	521
done	5000	521

prune163.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* z 6.0)))
0.2b	(* (- y x) (* z 6.0))

rewrite84.0ms

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:

8.0ms	(+ x (* (- y x) (* z 6.0)))
74.0ms	(* (- y x) (* z 6.0))

series132.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ x (* (- y x) (* z 6.0)))
64.0ms	(* (- y x) (* z 6.0))

simplify2.7s

Counts

39 → 39

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	75	468
1	206	438
2	690	376
3	3183	376
done	5000	376

prune116.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite101.0ms

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:

27.0ms	(* (- y x) z)
12.0ms	(+ x (* (* (- y x) z) 6.0))
60.0ms	(* (* (- y x) z) 6.0)

series161.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (- y x) z)
67.0ms	(+ x (* (* (- y x) z) 6.0))
62.0ms	(* (* (- y x) z) 6.0)

simplify3.8s

Counts

62 → 62

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	96	638
1	241	603
2	851	517
3	3922	517
done	5001	517

prune180.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) z) (sqrt 6.0)) (sqrt 6.0)))
0.0b	(* (- y x) z)
0.5b	(* (* (* (- y x) z) (sqrt 6.0)) (sqrt 6.0))
0.6b	(* (* (- y x) z) (sqrt 6.0))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

9.0ms	(+ x (* (* (* (- y x) z) (sqrt 6.0)) (sqrt 6.0)))
25.0ms	(* (- y x) z)
138.0ms	(* (* (* (- y x) z) (sqrt 6.0)) (sqrt 6.0))
76.0ms	(* (* (- y x) z) (sqrt 6.0))

series618.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(+ x (* (* (* (- y x) z) (sqrt 6.0)) (sqrt 6.0)))
40.0ms	(* (- y x) z)
225.0ms	(* (* (* (- y x) z) (sqrt 6.0)) (sqrt 6.0))
115.0ms	(* (* (- y x) z) (sqrt 6.0))

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: 2 (261.0ms)

Iter	Nodes	Cost
0	132	1233
1	340	968
2	1222	806
done	5000	806

prune221.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes45.0ms

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

sample892.0ms

Algorithm

intervals

Results

581.0ms

10165×

body

valid