Details

sample34.0ms

Algorithm

intervals

Results

6.0ms	51×	body	1280	valid
4.0ms	43×	body	640	valid
3.0ms	132×	body	80	valid
1.0ms	19×	body	320	valid
1.0ms	11×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.5b	(cbrt x)
3.0b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite69.0ms

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)
58.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series552.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(cbrt (+ x 1.0))
240.0ms	(cbrt x)
207.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1404
1	459
0	194

prune424.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize67.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1.0 x))
0.3b	(* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x)))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite167.0ms

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:

7.0ms	(cbrt (+ 1.0 x))
154.0ms	(* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (+ 1.0 x))
274.0ms	(* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x)))
299.0ms	(cbrt x)
314.0ms	(cbrt x)

simplify1.7s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
2	1963
1	483
0	177

prune671.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 50

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(cbrt (* (cbrt x) (cbrt x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt x)
308.0ms	(cbrt x)
280.0ms	(cbrt x)
458.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify1.7s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
4	2964
3	787
2	238
1	88
0	46

prune533.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize126.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))
0.5b	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))
0.5b	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))

rewrite100.0ms

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)
32.0ms	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))
25.0ms	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))
40.0ms	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))

series1.4s

Counts

4 → 12

Calls

4 calls:

323.0ms	(cbrt x)
364.0ms	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))
356.0ms	(cbrt (* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x))))
376.0ms	(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

prune661.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

regimes227.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	21
2	21
1	20
0	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

569.0ms	1318×	body	640	valid
392.0ms	1679×	body	1280	valid
197.0ms	4079×	body	80	valid
65.0ms	600×	body	320	valid
23.0ms	324×	body	160	valid