Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	238×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	2×	body	2560	valid
0.0ms	1×	body	160	valid

simplify353.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

93.0ms	(+ (+ (+ x y) y) x)
22.0ms	(+ (+ x y) y)

series63.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (+ (+ x y) y) x)
28.0ms	(+ (+ x y) y)

simplify297.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	696
1	153
0	55

prune140.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune11.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

10.0ms	(cbrt (* (+ x y) 2))
9.0ms	(cbrt (* (+ x y) 2))
8.0ms	(cbrt (* (+ x y) 2))
18.0ms	(* (cbrt (* (+ x y) 2)) (cbrt (* (+ x y) 2)))

series911.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (* (+ x y) 2))
236.0ms	(cbrt (* (+ x y) 2))
205.0ms	(cbrt (* (+ x y) 2))
262.0ms	(* (cbrt (* (+ x y) 2)) (cbrt (* (+ x y) 2)))

simplify635.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1275
1	301
0	120

prune528.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (+ x y) 2))
0.5b	(* (cbrt (* (+ x y) 2)) (cbrt (* (+ x y) 2)))
0.5b	(cbrt (+ y x))
1.0b	(cbrt 2)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

9.0ms	(cbrt (* (+ x y) 2))
28.0ms	(* (cbrt (* (+ x y) 2)) (cbrt (* (+ x y) 2)))
10.0ms	(cbrt (+ y x))
1.0ms	(cbrt 2)

series700.0ms

Counts

4 → 10

Calls

4 calls:

194.0ms	(cbrt (* (+ x y) 2))
328.0ms	(* (cbrt (* (+ x y) 2)) (cbrt (* (+ x y) 2)))
178.0ms	(cbrt (+ y x))
0.0ms	(cbrt 2)

simplify741.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	1624
1	407
0	174

prune542.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes192.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample808.0ms

Algorithm

intervals

Results

380.0ms	7425×	body	80	valid
28.0ms	171×	body	1280	valid
26.0ms	195×	body	640	valid
11.0ms	108×	body	320	valid
7.0ms	34×	body	2560	valid
5.0ms	74×	body	160	valid