Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	296×	body	80	valid
3.0ms	19×	body	640	valid
3.0ms	13×	body	1280	valid
1.0ms	5×	body	320	valid

simplify245.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)
0.1b	(* 3.0 (- 2.0 (* x 3.0)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

13.0ms	(- 2.0 (* x 3.0))
48.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
24.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series277.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- 2.0 (* x 3.0))
118.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
100.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify1.4s

Counts

83 → 83

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	113	917
1	281	903
2	1385	783
done	5002	771

prune365.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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:

41.0ms

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

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

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

simplify530.0ms

Counts

25 → 25

Iterations

Useful iterations: done (529.0ms)

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

prune128.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
0.2b	(* (* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0)))) x)
0.8b	(* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0))))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

25×	`distribute-rgt-in` `distribute-lft-in`
22×	`add-sqr-sqrt`
21×	`prod-diff`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
10×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`sub-neg` `associate-r` `sqrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`fma-neg` `*-commutative`
2×	`associate-*l/` `unswap-sqr`
1×	`diff-log`

Counts

4 → 126

Calls

4 calls:

7.0ms	(- 2.0 (* x 3.0))
38.0ms	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
155.0ms	(* (* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0)))) x)
60.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0))))

series686.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- 2.0 (* x 3.0))
134.0ms	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
298.0ms	(* (* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0)))) x)
208.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0))))

simplify2.7s

Counts

138 → 138

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	167	2131
1	477	2043
2	2988	1470
done	5000	1420

prune531.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- x) 3.0 2.0)
0.2b	(* (* x 3.0) (fma (- x) 3.0 2.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma (- x) 3.0 2.0)
33.0ms	(* (* x 3.0) (fma (- x) 3.0 2.0))

series262.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(fma (- x) 3.0 2.0)
177.0ms	(* (* x 3.0) (fma (- x) 3.0 2.0))

simplify985.0ms

Counts

38 → 38

Iterations

Useful iterations: done (983.0ms)

Iter	Nodes	Cost
0	59	402
1	149	397
2	985	339
done	5000	331

prune155.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes86.0ms

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

sample815.0ms

Algorithm

intervals

Results

421.0ms	9734×	body	80	valid
51.0ms	148×	body	320	valid
45.0ms	314×	body	1280	valid
34.0ms	286×	body	640	valid
4.0ms	63×	body	160	valid