Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	254×	body	80	valid
0.0ms	2×	body	1280	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	8	5
2	15	5
3	23	5
4	30	5
5	32	5
done	32	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

23.0ms

(* 500.0 (- x y))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* 500.0 (- x y))

simplify1.7s

Counts

49 → 49

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	102	721
1	192	548
2	415	438
3	1732	396
done	5001	342

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 500.0 x) (* (- y) 500.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-lft-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

11.0ms

(+ (* 500.0 x) (* (- y) 500.0))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(+ (* 500.0 x) (* (- y) 500.0))

simplify2.4s

Counts

19 → 19

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	32	202
1	112	147
2	440	131
3	1770	126
done	5000	124

prune55.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 500.0) (- x y))
0.4b	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
12×	`associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 119

Calls

2 calls:

32.0ms	(* (sqrt 500.0) (- x y))
65.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series236.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(* (sqrt 500.0) (- x y))
156.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify4.0s

Counts

125 → 125

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	186	2575
1	338	1588
2	948	1264
3	4627	1138
done	5000	1138

prune146.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x y)) (cbrt (- x y)))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

Calls

4 calls:

65.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))

series901.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
228.0ms	(cbrt (- x y))
234.0ms	(cbrt (- x y))
262.0ms	(cbrt (- x y))

simplify3.2s

Counts

121 → 121

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	135	1434
1	271	1320
2	648	1262
3	1427	1156
4	3890	1116
done	5000	1112

prune354.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample619.0ms

Algorithm

intervals

Results

245.0ms	8028×	body	80	valid
2.0ms	16×	body	1280	valid
1.0ms	9×	body	640	valid
1.0ms	5×	body	2560	valid
1.0ms	6×	body	320	valid