Details

sample45.0ms

Algorithm

intervals

Results

12.0ms	51×	body	1280	valid
7.0ms	41×	body	640	valid
6.0ms	123×	body	80	valid
4.0ms	30×	body	320	valid
1.0ms	11×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.6b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.4b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
56×	`*-un-lft-identity`
42×	`prod-diff`
41×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`fma-neg`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 99

Calls

3 calls:

3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
84.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series655.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(cbrt (+ x 1.0))
313.0ms	(cbrt x)
222.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.4s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1404
1	459
0	194

prune547.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1.0 x))
0.3b	(* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x)))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`cbrt-prod`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
6×	`pow1` `associate-r` `associate-l` `add-exp-log`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-div` `flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

3.0ms	(cbrt (+ 1.0 x))
132.0ms	(* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series974.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ 1.0 x))
258.0ms	(* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x)))
270.0ms	(cbrt x)
319.0ms	(cbrt x)

simplify1.6s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
2	1963
1	483
0	177

prune604.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.6s

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt x)
418.0ms	(cbrt (cbrt x))
452.0ms	(cbrt (cbrt x))
392.0ms	(cbrt (cbrt x))

simplify1.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
4	2403
3	656
2	193
1	81
0	46

prune571.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize108.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))
0.6b	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))
0.6b	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `cbrt-div` `associate-*r/`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
36.0ms	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))
42.0ms	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))
39.0ms	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))

series1.3s

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt x)
309.0ms	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))
373.0ms	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))
399.0ms	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))

simplify1.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1500
1	417
0	158

prune592.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

regimes126.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
2	16
1	15
0	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

823.0ms	1701×	body	1280	valid
268.0ms	4080×	body	80	valid
198.0ms	1239×	body	640	valid
75.0ms	641×	body	320	valid
27.0ms	339×	body	160	valid