Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify101.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	15	9
2	35	9
3	70	9
4	120	9
5	151	9
6	166	9
7	171	9
done	171	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize6.0ms

Local error

Found 1 expressions with local error:

12.4b

(/ (* (* x 2.0) y) (- x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`times-frac` `associate-/r*`
3×	`cbrt-undiv` `add-cube-cbrt` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

12.0ms

(/ (* (* x 2.0) y) (- x y))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(/ (* (* x 2.0) y) (- x y))

simplify910.0ms

Counts

34 → 34

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	79	420
1	215	400
2	983	334
done	5000	334

prune64.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
5.9b	(* (* x 2.0) (/ y (- x y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt` `associate-r`
16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

2 → 82

Calls

2 calls:

5.0ms	(/ y (- x y))
16.0ms	(* (* x 2.0) (/ y (- x y)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ y (- x y))
64.0ms	(* (* x 2.0) (/ y (- x y)))

simplify853.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	120	947
1	316	888
2	1315	788
done	5000	788

prune145.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
4.9b	(/ (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (cbrt (- x y)))
7.7b	(/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

126×	`cbrt-div`
114×	`times-frac`
82×	`associate-/r/`
80×	`cbrt-prod`
75×	`add-sqr-sqrt` `*-un-lft-identity`
63×	`flip3--` `flip--`
54×	`add-exp-log`
43×	`add-cube-cbrt`
40×	`frac-times`
35×	`add-cbrt-cube`
20×	`associate-r/` `associate-l/`
19×	`cbrt-undiv` `div-exp`
18×	`prod-exp` `cbrt-unprod`
16×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/l*`
11×	`div-inv`
9×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `pow1/3` `clear-num`
1×	`associate-/l/`

Counts

4 → 223

Calls

4 calls:

2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))
26.0ms	(/ (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (cbrt (- x y)))
14.0ms	(/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y))))

series519.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- x y))
151.0ms	(cbrt (- x y))
64.0ms	(/ (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (cbrt (- x y)))
157.0ms	(/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y))))

simplify1.4s

Counts

235 → 235

Iterations

Useful iterations: 2 (742.0ms)

Iter	Nodes	Cost
0	358	6836
1	879	6148
2	3884	5766
done	5001	5766

prune525.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (* (* x 2.0) y) (- x y)))
12.4b	(/ (* (* x 2.0) y) (- x y))
12.4b	(/ (* (* x 2.0) y) (- x y))
12.4b	(/ (* (* x 2.0) y) (- x y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
26×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`times-frac`
15×	`associate-/r*`
12×	`add-cube-cbrt`
11×	`cbrt-prod`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
8×	`associate-/r/`
7×	`distribute-lft-out--` `difference-of-squares`
4×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/l*`
1×	`cbrt-div` `pow1/3`

Counts

4 → 115

Calls

4 calls:

7.0ms	(cbrt (/ (* (* x 2.0) y) (- x y)))
10.0ms	(/ (* (* x 2.0) y) (- x y))
10.0ms	(/ (* (* x 2.0) y) (- x y))
10.0ms	(/ (* (* x 2.0) y) (- x y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (/ (* (* x 2.0) y) (- x y)))
60.0ms	(/ (* (* x 2.0) y) (- x y))
64.0ms	(/ (* (* x 2.0) y) (- x y))
65.0ms	(/ (* (* x 2.0) y) (- x y))

simplify602.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	157	1704
1	386	1630
2	1408	1411
done	5000	1411

prune283.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

79.7% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 7.1b

bsearch1.0ms

simplify10.0ms

Iterations

Useful iterations: 4 (4.0ms)

Iter	Nodes	Cost
0	21	93
1	27	85
2	30	77
3	36	69
4	39	68
5	42	68
6	45	68
7	46	68
done	46	68

end0.0ms

sample304.0ms

Algorithm

intervals

Results

176.0ms

8000×

body

valid