Details

sample27.0ms

Algorithm

intervals

Results

12.0ms	296×	body	80	valid
1.0ms	10×	body	1280	valid
1.0ms	11×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	50	12
3	140	12
4	351	12
5	899	12
6	2164	12
7	4758	12
done	5000	12

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.5b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-sqr-sqrt`
195×	`prod-diff`
191×	`*-un-lft-identity`
185×	`add-cube-cbrt`
146×	`times-frac`
82×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
16×	`div-inv`
13×	`fma-neg`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 304

Calls

4 calls:

14.0ms	(- (/ 2.0 3.0) z)
17.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
10.0ms	(* (- y x) 6.0)
46.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series333.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
62.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
209.0ms	(* (- y x) 6.0)
43.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.9s

Counts

316 → 316

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	400	7667
1	985	6190
2	4101	5293
done	5000	5263

prune628.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
0.0b	(* (- (/ 2.0 3.0) z) 6.0)
0.1b	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
49×	`add-cube-cbrt`
39×	`prod-diff`
38×	`times-frac`
13×	`fma-neg`
11×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
10×	`associate-*l/`
8×	`flip3--` `flip--` `add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv`
3×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

15.0ms	(- (/ 2.0 3.0) z)
8.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
34.0ms	(* (- (/ 2.0 3.0) z) 6.0)
50.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series167.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ 2.0 3.0) z)
61.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
41.0ms	(* (- (/ 2.0 3.0) z) 6.0)
42.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify740.0ms

Counts

152 → 152

Iterations

Useful iterations: done (736.0ms)

Iter	Nodes	Cost
0	230	2494
1	575	2061
2	2096	1748
done	5000	1742

prune311.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.0b	(- 4.0 (* 6.0 z))
0.1b	(* (- y x) (- 4.0 (* 6.0 z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`prod-diff`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`flip3--` `flip--` `add-log-exp`
5×	`pow1` `add-exp-log` `sub-neg` `associate-l` `add-cbrt-cube`
4×	`frac-times`
3×	`expm1-log1p-u` `fma-def` `fma-neg` `associate-r` `log1p-expm1-u`
2×	`associate-r/` `associate-l/`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

7.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
2.0ms	(- 4.0 (* 6.0 z))
15.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
37.0ms	(- 4.0 (* 6.0 z))
45.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

simplify529.0ms

Counts

95 → 95

Iterations

Useful iterations: done (526.0ms)

Iter	Nodes	Cost
0	145	1324
1	370	1263
2	1448	1135
done	5001	1128

prune217.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series723.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt x) (cbrt x))
173.0ms	(cbrt x)
173.0ms	(cbrt x)
179.0ms	(cbrt x)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 3 (297.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune253.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	14	17
done	14	17

end0.0ms

sample568.0ms

Algorithm

intervals

Results

276.0ms	9315×	body	80	valid
28.0ms	275×	body	640	valid
22.0ms	167×	body	1280	valid
13.0ms	168×	body	320	valid
8.0ms	143×	body	160	valid