Details

sample47.0ms

Algorithm

intervals

Results

12.0ms	47×	body	1280	valid
9.0ms	48×	body	640	valid
6.0ms	131×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	10×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.4b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite144.0ms

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×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `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:

8.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt x)
124.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series803.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(cbrt (+ x 1.0))
371.0ms	(cbrt x)
283.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	194	2160
1	459	1790
2	1408	1468
done	5001	1288

prune668.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.1b	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.4b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite342.0ms

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×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `cbrt-div` `pow1/3`
1×	`log-div` `flip3--` `flip3-+` `exp-diff` `diff-log` `rem-log-exp` `flip--` `flip-+`

Counts

4 → 168

Calls

4 calls:

11.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt x)
201.0ms	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
109.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series1.1s

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (+ x 1.0))
379.0ms	(cbrt x)
283.0ms	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
279.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.0s

Counts

180 → 180

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	315	4214
1	604	3291
2	1786	2644
done	5000	2311

prune976.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.6b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
0.6b	(cbrt x)
5.2b	(log (exp (/ (+ 1.0 0) (fma (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`log-pow`
16×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod`
12×	`times-frac`
10×	`cbrt-prod`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`log-prod` `pow1/3`
2×	`cbrt-div`
1×	`flip3-+` `rem-log-exp` `flip-+` `div-inv`

Counts

4 → 72

Calls

4 calls:

7.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
47.0ms	(log (exp (/ (+ 1.0 0) (fma (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))))))

series1.6s

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (+ x 1.0))
334.0ms	(cbrt x)
328.0ms	(cbrt x)
838.0ms	(log (exp (/ (+ 1.0 0) (fma (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))))))

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	285	2147
1	719	1898
2	3079	1765
done	5001	1714

prune870.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 58

Calls

4 calls:

8.0ms	(cbrt (+ x 1.0))
9.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (+ x 1.0))
168.0ms	(cbrt (+ x 1.0))
369.0ms	(cbrt x)
373.0ms	(cbrt x)

simplify3.5s

Counts

70 → 70

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	97	604
1	215	566
2	662	536
3	2560	476
done	5001	458

prune609.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

regimes194.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	13	25
1	19	21
2	21	21
done	21	21

end0.0ms

sample2.1s

Algorithm

intervals

Results

828.0ms	1265×	body	640	valid
588.0ms	1756×	body	1280	valid
205.0ms	4037×	body	80	valid
137.0ms	628×	body	320	valid
30.0ms	314×	body	160	valid