Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	241×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid

simplify319.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (32.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0s

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity` `add-log-exp`
34×	`sum-log` `distribute-lft-out`
4×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

4 → 72

Calls

4 calls:

700.0ms	(+ (+ (+ (+ x y) y) x) z)
3.1s	(+ (+ (+ (+ (+ x y) y) x) z) x)
156.0ms	(+ (+ (+ x y) y) x)
51.0ms	(+ (+ x y) y)

series130.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (+ (+ (+ x y) y) x) z)
29.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
49.0ms	(+ (+ (+ x y) y) x)
26.0ms	(+ (+ x y) y)

simplify783.0ms

Counts

84 → 84

Iterations

Useful iterations: done (780.0ms)

Iter	Nodes	Cost
0	104	1006
1	292	916
2	1284	882
done	5001	869

prune170.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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:

31.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify1.4s

Counts

16 → 16

Iterations

Useful iterations: 2 (98.0ms)

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

prune63.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))
0.6b	(cbrt (+ (+ x y) y))
0.6b	(cbrt (+ (+ x y) y))
0.6b	(cbrt (+ (+ x y) y))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`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 → 105

Calls

4 calls:

216.0ms	(* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))
28.0ms	(cbrt (+ (+ x y) y))
39.0ms	(cbrt (+ (+ x y) y))
30.0ms	(cbrt (+ (+ x y) y))

series819.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))
215.0ms	(cbrt (+ (+ x y) y))
201.0ms	(cbrt (+ (+ x y) y))
173.0ms	(cbrt (+ (+ x y) y))

simplify673.0ms

Counts

117 → 117

Iterations

Useful iterations: done (669.0ms)

Iter	Nodes	Cost
0	128	1870
1	309	1720
2	1107	1588
done	5000	1430

prune396.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
0.6b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.6b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.6b	(cbrt (+ (* 3 x) (+ z (* 2 y))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

141.0ms	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
16.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
11.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
13.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

428.0ms	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
354.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
335.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
355.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))

simplify4.1s

Counts

99 → 99

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	136	2456
1	327	2261
2	1037	2106
3	4849	1892
done	5001	1892

prune299.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes108.0ms

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

sample1.1s

Algorithm

intervals

Results

708.0ms	7397×	body	80	valid
26.0ms	172×	body	1280	valid
23.0ms	184×	body	640	valid
14.0ms	144×	body	320	valid
7.0ms	39×	body	2560	valid
5.0ms	72×	body	160	valid