Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	236×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify327.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	66	11
3	206	9
4	392	9
5	428	9
done	428	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ z (* 2 (+ x y))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

27.0ms

(+ x (+ z (* 2 (+ x y))))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(+ x (+ z (* 2 (+ x y))))

simplify1.3s

Counts

17 → 17

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	38	232
1	112	221
2	399	203
3	2286	203
done	5002	203

prune44.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

17.0ms

(+ (* 3 x) (+ z (* 2 y)))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify1.0s

Counts

16 → 16

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	34	225
1	113	212
2	434	194
3	2088	194
done	5002	194

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (+ z (* 2 (+ x y)))))
0.5b	(cbrt (+ x (+ z (* 2 (+ x y)))))
0.5b	(cbrt (+ x (+ z (* 2 (+ x y)))))
0.5b	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

12.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
13.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
11.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
125.0ms	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

308.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
319.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
363.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
438.0ms	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))

simplify905.0ms

Counts

107 → 107

Iterations

Useful iterations: done (899.0ms)

Iter	Nodes	Cost
0	136	2604
1	320	2409
2	1066	2254
done	5000	2060

prune462.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))
0.5b	(cbrt (cbrt (+ x (+ z (* 2 (+ x y))))))
0.5b	(cbrt (cbrt (+ x (+ z (* 2 (+ x y))))))
0.5b	(cbrt (cbrt (+ x (+ z (* 2 (+ x y))))))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
38×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`cbrt-div`
18×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

155.0ms	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))
12.0ms	(cbrt (cbrt (+ x (+ z (* 2 (+ x y))))))
11.0ms	(cbrt (cbrt (+ x (+ z (* 2 (+ x y))))))
16.0ms	(cbrt (cbrt (+ x (+ z (* 2 (+ x y))))))

series2.0s

Counts

4 → 12

Calls

4 calls:

417.0ms	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))
511.0ms	(cbrt (cbrt (+ x (+ z (* 2 (+ x y))))))
550.0ms	(cbrt (cbrt (+ x (+ z (* 2 (+ x y))))))
483.0ms	(cbrt (cbrt (+ x (+ z (* 2 (+ x y))))))

simplify874.0ms

Counts

116 → 116

Iterations

Useful iterations: done (868.0ms)

Iter	Nodes	Cost
0	154	2901
1	345	2694
2	1030	2533
done	5001	2351

prune568.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
done	13	9

end0.0ms

sample921.0ms

Algorithm

intervals

Results

439.0ms	7443×	body	80	valid
42.0ms	141×	body	320	valid
28.0ms	157×	body	1280	valid
23.0ms	162×	body	640	valid
8.0ms	41×	body	2560	valid
4.0ms	61×	body	160	valid