Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

332×

body

valid

simplify4.3s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite142.0ms

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:

14.0ms	(+ x (* (* (- y x) 6.0) z))
54.0ms	(* (- y x) 6.0)
71.0ms	(* (* (- y x) 6.0) z)

series191.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ x (* (* (- y x) 6.0) z))
57.0ms	(* (- y x) 6.0)
71.0ms	(* (* (- y x) 6.0) z)

simplify3.8s

Counts

62 → 62

Iterations

Useful iterations: 2 (177.0ms)

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

prune143.0ms

Pruning

6 alts after pruning (5 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)))
0.3b	(* (- y x) (* z 6.0))

rewrite76.0ms

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:

16.0ms	(+ x (* (- y x) (* z 6.0)))
59.0ms	(* (- y x) (* z 6.0))

series145.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ x (* (- y x) (* z 6.0)))
72.0ms	(* (- y x) (* z 6.0))

simplify1.8s

Counts

39 → 39

Iterations

Useful iterations: 2 (137.0ms)

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

prune109.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

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:

9.0ms	(+ x (* (* (- y x) z) 6.0))
31.0ms	(* (- y x) z)
54.0ms	(* (* (- y x) z) 6.0)

series162.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ x (* (* (- y x) z) 6.0))
48.0ms	(* (- y x) z)
54.0ms	(* (* (- y x) z) 6.0)

simplify3.4s

Counts

62 → 62

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	96	638
1	241	603
2	848	517
3	3920	517
done	5000	517

prune160.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite297.0ms

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:

11.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
169.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
35.0ms	(* (- y x) (sqrt 6.0))
77.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series582.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
186.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
74.0ms	(* (- y x) (sqrt 6.0))
132.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify1.1s

Counts

95 → 95

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	130	1313
1	332	923
2	1267	791
done	5001	781

prune218.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes128.0ms

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

sample992.0ms

Algorithm

intervals

Results

526.0ms

10088×

body

valid