Details

sample31.0ms

Algorithm

intervals

Results

14.0ms	308×	body	80	valid
2.0ms	8×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify268.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	32	9
3	81	9
4	158	9
5	200	9
done	200	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:

38.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
20.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series267.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
123.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify3.3s

Counts

60 → 60

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	102	712
1	228	704
2	705	604
3	2999	588
done	5000	551

prune184.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* (- 6.0 (* 9.0 x)) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

7.0ms	(- 6.0 (* 9.0 x))
29.0ms	(* (- 6.0 (* 9.0 x)) x)

series172.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(- 6.0 (* 9.0 x))
113.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify2.6s

Counts

48 → 48

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	71	458
1	160	449
2	464	398
3	1545	388
done	5000	370

prune174.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite79.0ms

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:

34.0ms	(* (- 2.0 (* x 3.0)) x)
42.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series297.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(* (- 2.0 (* x 3.0)) x)
164.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.4s

Counts

50 → 50

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	78	563
1	189	557
2	679	475
3	3079	461
done	5002	460

prune121.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 2.0 (* x 3.0)) x)
0.2b	(* (* (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))

rewrite207.0ms

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:

22.0ms	(* (- 2.0 (* x 3.0)) x)
138.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
44.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series684.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(* (- 2.0 (* x 3.0)) x)
334.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
240.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify2.2s

Counts

88 → 88

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	117	1364
1	300	1343
2	1166	999
done	5000	865

prune191.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes33.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample780.0ms

Algorithm

intervals

Results

433.0ms	9825×	body	80	valid
51.0ms	165×	body	320	valid
43.0ms	296×	body	1280	valid
31.0ms	275×	body	640	valid
5.0ms	70×	body	160	valid