Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	56×	body	1280	valid
4.0ms	134×	body	80	valid
4.0ms	33×	body	640	valid
3.0ms	27×	body	320	valid
0.0ms	6×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (+ x 1))
0.6b	(cbrt x)
1.7b	(- (cbrt (+ x 1)) (cbrt x))

rewrite60.0ms

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` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 102

Calls

3 calls:

5.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)
51.0ms	(- (cbrt (+ x 1)) (cbrt x))

series422.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(cbrt (+ x 1))
263.0ms	(cbrt x)
118.0ms	(- (cbrt (+ x 1)) (cbrt x))

simplify660.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	2000
2	955
1	414
0	184

prune456.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 15.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
1.7b	(- (cbrt (+ x 1)) (cbrt x))
1.7b	(- (cbrt (+ x 1)) (cbrt x))
1.7b	(- (cbrt (+ x 1)) (cbrt x))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

174×	`cbrt-prod`
152×	`*-un-lft-identity`
126×	`prod-diff`
113×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
24×	`distribute-lft-out`
21×	`fma-neg`
12×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-lft-out--`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow1/3`

Counts

4 → 227

Calls

4 calls:

1.0ms	(cbrt x)
31.0ms	(- (cbrt (+ x 1)) (cbrt x))
32.0ms	(- (cbrt (+ x 1)) (cbrt x))
30.0ms	(- (cbrt (+ x 1)) (cbrt x))

series627.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt x)
132.0ms	(- (cbrt (+ x 1)) (cbrt x))
118.0ms	(- (cbrt (+ x 1)) (cbrt x))
94.0ms	(- (cbrt (+ x 1)) (cbrt x))

simplify754.0ms

Counts

239 → 239

Iterations

Iter	Nodes
done	2001
2	829
1	362
0	161

prune822.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 15.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
0.3b	(cbrt (cbrt (+ x 1)))
0.6b	(cbrt x)
7.3b	(- (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1)))) (cbrt x))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

41×	`cbrt-prod`
33×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`cbrt-div`
11×	`pow1`
9×	`swap-sqr`
8×	`pow1/3`
7×	`flip3-+` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
6×	`prod-diff` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `fma-neg` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod` `flip--`

Counts

4 → 112

Calls

4 calls:

29.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
5.0ms	(cbrt (cbrt (+ x 1)))
1.0ms	(cbrt x)
32.0ms	(- (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1)))) (cbrt x))

series499.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
71.0ms	(cbrt (cbrt (+ x 1)))
266.0ms	(cbrt x)
123.0ms	(- (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1)))) (cbrt x))

simplify925.0ms

Counts

124 → 124

Iterations

Iter	Nodes
done	2001
2	1440
1	554
0	242

prune647.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 15.5b

localize74.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
17.6b	(- (* (cbrt (+ 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) x)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`pow1/3` `prod-diff`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
63.0ms	(- (* (cbrt (+ 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) x)

series824.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt x)
284.0ms	(cbrt x)
276.0ms	(cbrt x)
1.0ms	(- (* (cbrt (+ 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) x)

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	2001
3	1138
2	381
1	165
0	71

prune498.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

regimes63.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

462.0ms	1762×	body	1280	valid
333.0ms	1254×	body	640	valid
234.0ms	4082×	body	80	valid
83.0ms	628×	body	320	valid
23.0ms	274×	body	160	valid