Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	314×	body	80	valid
2.0ms	9×	body	1280	valid
1.0ms	7×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	6×	body	160	valid

simplify323.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	32	9
3	82	9
4	190	9
5	263	9
6	269	9
done	269	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-l/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 54

Calls

2 calls:

32.0ms	(* 3.0 (- 2.0 (* x 3.0)))
48.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series221.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* 3.0 (- 2.0 (* x 3.0)))
133.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify1.1s

Counts

60 → 60

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	102	712
1	256	704
2	1271	608
done	5001	588

prune252.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (- 6.0 (* 9.0 x)) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

30.0ms

(* (- 6.0 (* 9.0 x)) x)

series127.0ms

Counts

1 → 3

Calls

1 calls:

127.0ms

(* (- 6.0 (* 9.0 x)) x)

simplify764.0ms

Counts

25 → 25

Iterations

Useful iterations: done (763.0ms)

Iter	Nodes	Cost
0	49	253
1	122	250
2	608	224
done	5001	215

prune166.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-r/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 44

Calls

2 calls:

40.0ms	(* (- 2.0 (* x 3.0)) x)
64.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series315.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(* (- 2.0 (* x 3.0)) x)
172.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify941.0ms

Counts

50 → 50

Iterations

Useful iterations: done (938.0ms)

Iter	Nodes	Cost
0	78	563
1	195	557
2	938	479
done	5000	461

prune242.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 2.0 (* x 3.0)) x)
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.4b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
10×	`associate-l`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l/`
5×	`associate-r`
3×	`cbrt-prod` `expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 79

Calls

3 calls:

30.0ms	(* (- 2.0 (* x 3.0)) x)
163.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
50.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series740.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(* (- 2.0 (* x 3.0)) x)
338.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
255.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify1.4s

Counts

88 → 88

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	117	1364
1	315	1343
2	1499	1007
done	5001	900

prune387.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes71.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

630.0ms	9974×	body	80	valid
119.0ms	345×	body	1280	valid
48.0ms	267×	body	640	valid
16.0ms	123×	body	320	valid
6.0ms	71×	body	160	valid