Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	324×	body	80	valid
2.0ms	11×	body	1280	valid
1.0ms	7×	body	320	valid
0.0ms	6×	body	160	valid
0.0ms	3×	body	640	valid

simplify174.0ms

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

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)))

rewrite65.0ms

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:

10.0ms	(- 2.0 (* x 3.0))
32.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
19.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series307.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- 2.0 (* x 3.0))
149.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
79.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify3.6s

Counts

83 → 83

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	113	917
1	252	903
2	754	779
3	3052	761
done	5001	706

prune194.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:

6.0ms	(- 6.0 (* 9.0 x))
32.0ms	(* (- 6.0 (* 9.0 x)) x)

series167.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(- 6.0 (* 9.0 x))
108.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify2.4s

Counts

48 → 48

Iterations

Useful iterations: done (2.4s)

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

prune151.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

14.0ms	(- 2.0 (* x 3.0))
21.0ms	(* (- 2.0 (* x 3.0)) x)
49.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series301.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- 2.0 (* x 3.0))
122.0ms	(* (- 2.0 (* x 3.0)) x)
122.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.4s

Counts

73 → 73

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	101	768
1	233	756
2	752	650
3	3196	634
done	5002	615

prune176.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

7.0ms	(- 2.0 (* x 3.0))
19.0ms	(* (- 2.0 (* x 3.0)) x)
136.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
33.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series551.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- 2.0 (* x 3.0))
91.0ms	(* (- 2.0 (* x 3.0)) x)
240.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
154.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify1.8s

Counts

111 → 111

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	140	1569
1	344	1542
2	1258	1173
done	5000	1038

prune232.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes32.0ms

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

sample510.0ms

Algorithm

intervals

Results

236.0ms	9918×	body	80	valid
31.0ms	313×	body	1280	valid
23.0ms	290×	body	640	valid
8.0ms	136×	body	320	valid
3.0ms	67×	body	160	valid