Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	240×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	640	valid

simplify532.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	505
7	505
6	504
5	497
4	431
3	212
2	66
1	20
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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)

rewrite3.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

674.0ms	(+ (+ (+ (+ x y) y) x) z)
2.4s	(+ (+ (+ (+ (+ x y) y) x) z) x)
179.0ms	(+ (+ (+ x y) y) x)
50.0ms	(+ (+ x y) y)

series206.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (+ (+ (+ x y) y) x) z)
35.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
66.0ms	(+ (+ (+ x y) y) x)
61.0ms	(+ (+ x y) y)

simplify1.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1273
1	292
0	104

prune269.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

43.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify1.7s

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
3	3078
2	524
1	129
0	42

prune114.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite746.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

565.0ms	(* (cbrt (+ (* x 3) (+ z (+ y y)))) (cbrt (+ (* x 3) (+ z (+ y y)))))
53.0ms	(cbrt (+ (* x 3) (+ z (+ y y))))
50.0ms	(cbrt (+ (* x 3) (+ z (+ y y))))
76.0ms	(cbrt (+ (* x 3) (+ z (+ y y))))

series1.7s

Counts

4 → 12

Calls

4 calls:

557.0ms	(* (cbrt (+ (* x 3) (+ z (+ y y)))) (cbrt (+ (* x 3) (+ z (+ y y)))))
350.0ms	(cbrt (+ (* x 3) (+ z (+ y y))))
411.0ms	(cbrt (+ (* x 3) (+ z (+ y y))))
412.0ms	(cbrt (+ (* x 3) (+ z (+ y y))))

simplify1.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1153
1	329
0	136

prune707.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

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

rewrite335.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3-+` `flip-+`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
2×	`associate-l/` `associate-r/`

Counts

4 → 56

Calls

4 calls:

71.0ms	(cbrt (+ (* x 3) (+ z (+ y y))))
73.0ms	(cbrt (+ (* x 3) (+ z (+ y y))))
51.0ms	(cbrt (+ (* x 3) (+ z (+ y y))))
136.0ms	(cbrt (* (cbrt (+ (* x 3) (+ z (+ y y)))) (cbrt (+ (* x 3) (+ z (+ y y))))))

series2.0s

Counts

4 → 12

Calls

4 calls:

406.0ms	(cbrt (+ (* x 3) (+ z (+ y y))))
455.0ms	(cbrt (+ (* x 3) (+ z (+ y y))))
483.0ms	(cbrt (+ (* x 3) (+ z (+ y y))))
663.0ms	(cbrt (* (cbrt (+ (* x 3) (+ z (+ y y)))) (cbrt (+ (* x 3) (+ z (+ y y))))))

simplify1.7s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	2687
2	748
1	285
0	134

prune566.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes406.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

747.0ms	7398×	body	80	valid
31.0ms	182×	body	1280	valid
27.0ms	197×	body	640	valid
13.0ms	130×	body	320	valid
8.0ms	36×	body	2560	valid
5.0ms	70×	body	160	valid