Details

sample50.0ms

Algorithm

intervals

Results

17.0ms	66×	body	1280	valid
7.0ms	37×	body	640	valid
7.0ms	126×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ 1.0 x))
0.6b	(cbrt x)
2.8b	(- (cbrt (+ 1.0 x)) (cbrt x))

rewrite89.0ms

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 (+ 1.0 x))
1.0ms	(cbrt x)
78.0ms	(- (cbrt (+ 1.0 x)) (cbrt x))

series576.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(cbrt (+ 1.0 x))
261.0ms	(cbrt x)
201.0ms	(- (cbrt (+ 1.0 x)) (cbrt x))

simplify932.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1428
1	460
0	194

prune426.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 10.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1.0 x))
0.6b	(cbrt x)
2.4b	(log (exp (- (cbrt (+ 1.0 x)) (cbrt x))))
2.8b	(- (cbrt (+ 1.0 x)) (cbrt x))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

117×	`cbrt-prod`
104×	`*-un-lft-identity`
84×	`prod-diff`
78×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
47×	`log-prod`
44×	`exp-sum`
16×	`distribute-lft-out`
11×	`log-pow`
10×	`exp-prod`
8×	`difference-of-squares`
7×	`fma-neg`
6×	`distribute-lft-out--` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
2×	`cbrt-div` `sub-neg` `pow1/3`
1×	`log-div` `flip3-+` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip-+` `flip--`

Counts

4 → 168

Calls

4 calls:

6.0ms	(cbrt (+ 1.0 x))
1.0ms	(cbrt x)
124.0ms	(log (exp (- (cbrt (+ 1.0 x)) (cbrt x))))
57.0ms	(- (cbrt (+ 1.0 x)) (cbrt x))

series848.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (+ 1.0 x))
262.0ms	(cbrt x)
205.0ms	(log (exp (- (cbrt (+ 1.0 x)) (cbrt x))))
249.0ms	(- (cbrt (+ 1.0 x)) (cbrt x))

simplify1.1s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
2	1875
1	605
0	315

prune711.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 10.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
0.6b	(cbrt x)
0.6b	(cbrt x)
5.0b	(log (exp (/ (+ 1.0 0) (fma (cbrt x) (+ (cbrt x) (cbrt (+ 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
30×	`cbrt-prod`
23×	`add-cube-cbrt`
17×	`log-pow`
16×	`exp-prod`
12×	`pow1` `cbrt-div` `times-frac`
9×	`swap-sqr` `distribute-lft-out`
8×	`pow1/3`
7×	`associate-r` `associate-l`
6×	`flip3-+` `add-exp-log` `flip-+`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`log-prod`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `rem-log-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 111

Calls

4 calls:

36.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
17.0ms	(log (exp (/ (+ 1.0 0) (fma (cbrt x) (+ (cbrt x) (cbrt (+ 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
317.0ms	(cbrt x)
294.0ms	(cbrt x)
643.0ms	(log (exp (/ (+ 1.0 0) (fma (cbrt x) (+ (cbrt x) (cbrt (+ 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))))

simplify1.6s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	3861
1	838
0	325

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
31×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
14×	`cbrt-div`
11×	`pow1`
9×	`pow1/3` `swap-sqr`
7×	`flip3-+` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 97

Calls

4 calls:

6.0ms	(cbrt (+ 1.0 x))
67.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series918.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (+ 1.0 x))
160.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
319.0ms	(cbrt x)
274.0ms	(cbrt x)

simplify855.0ms

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	1340
1	376
0	161

prune508.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

regimes140.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

805.0ms	1685×	body	1280	valid
285.0ms	1281×	body	640	valid
167.0ms	4087×	body	80	valid
73.0ms	631×	body	320	valid
24.0ms	316×	body	160	valid