Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	321×	body	80	valid
3.0ms	17×	body	640	valid
2.0ms	10×	body	1280	valid
0.0ms	2×	body	160	valid

simplify252.0ms

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: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

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:

18.0ms	(- 2.0 (* x 3.0))
36.0ms	(* 3.0 (- 2.0 (* x 3.0)))
58.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series297.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- 2.0 (* x 3.0))
100.0ms	(* 3.0 (- 2.0 (* x 3.0)))
139.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify3.7s

Counts

83 → 83

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	113	917
1	252	903
2	751	779
3	2993	761
done	5001	706

prune227.0ms

Pruning

9 alts after pruning (9 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)

rewrite31.0ms

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))
22.0ms	(* (- 6.0 (* 9.0 x)) x)

series168.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- 6.0 (* 9.0 x))
115.0ms	(* (- 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

prune129.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

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:

15.0ms	(- 2.0 (* x 3.0))
30.0ms	(* (- 2.0 (* x 3.0)) x)
55.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series297.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- 2.0 (* x 3.0))
114.0ms	(* (- 2.0 (* x 3.0)) x)
135.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.5s

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

prune196.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

11.0ms	(- 6.0 (* x 9.0))
37.0ms	(* x (- 6.0 (* x 9.0)))

series190.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(- 6.0 (* x 9.0))
128.0ms	(* x (- 6.0 (* x 9.0)))

simplify2.3s

Counts

58 → 58

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	82	616
1	173	607
2	439	532
3	1442	520
done	5000	466

prune148.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes34.0ms

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

sample1.3s

Algorithm

intervals

Results

526.0ms	295×	body	640	valid
415.0ms	9926×	body	80	valid
79.0ms	321×	body	1280	valid
11.0ms	129×	body	320	valid
3.0ms	56×	body	160	valid