Details

sample49.0ms

Algorithm

intervals

Results

15.0ms	54×	body	1280	valid
9.0ms	47×	body	640	valid
6.0ms	118×	body	80	valid
4.0ms	28×	body	320	valid
1.0ms	9×	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: 32.9b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.5b	(cbrt x)
3.8b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite111.0ms

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:

6.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
94.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series648.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(cbrt (+ x 1.0))
262.0ms	(cbrt x)
236.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.3s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1404
1	459
0	194

prune487.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize53.0ms

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)

rewrite104.0ms

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:

6.0ms	(cbrt (+ 1.0 x))
94.0ms	(* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series906.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (+ 1.0 x))
236.0ms	(* (cbrt x) (+ (cbrt (+ 1.0 x)) (cbrt x)))
260.0ms	(cbrt x)
270.0ms	(cbrt x)

simplify1.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
2	1963
1	483
0	177

prune616.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

4.0ms	(cbrt (cbrt (+ 1.0 x)))
268.0ms	(* (cbrt x) (+ (* (* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x)))) (cbrt (cbrt (+ 1.0 x)))) (cbrt x)))
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series983.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (cbrt (+ 1.0 x)))
225.0ms	(* (cbrt x) (+ (* (* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x)))) (cbrt (cbrt (+ 1.0 x)))) (cbrt x)))
315.0ms	(cbrt x)
342.0ms	(cbrt x)

simplify1.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	2243
1	536
0	202

prune717.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize210.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt x)
283.0ms	(cbrt x)
307.0ms	(cbrt x)
301.0ms	(cbrt x)

simplify3.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
5	4918
4	936
3	322
2	113
1	46
0	26

prune518.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

regimes148.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	24
2	24
1	23
0	17

end0.0ms

sample1.4s

Algorithm

intervals

Results

805.0ms	1747×	body	1280	valid
199.0ms	4079×	body	80	valid
182.0ms	1243×	body	640	valid
70.0ms	625×	body	320	valid
22.0ms	306×	body	160	valid