Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	59×	body	1280	valid
3.0ms	128×	body	80	valid
3.0ms	38×	body	640	valid
1.0ms	23×	body	320	valid
0.0ms	8×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4
done	10	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.5b

localize6.0ms

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))

rewrite62.0ms

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:

4.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
53.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series421.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(cbrt (+ x 1.0))
181.0ms	(cbrt x)
151.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify51.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	430	1315
1	1394	1045
2	5001	981
done	5001	981

prune235.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 20.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
30.4b	(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`cbrt-prod` `*-un-lft-identity`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`fma-udef`

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
1.0ms	(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

series798.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt (+ x 1.0))
80.0ms	(cbrt (+ x 1.0))
185.0ms	(cbrt x)
447.0ms	(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

simplify104.0ms

Counts

67 → 67

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	340	532
1	1019	485
2	3653	455
3	5001	446
done	5001	446

prune284.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 20.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
13.1b	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod`
15×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`fma-neg` `prod-diff`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 67

Calls

4 calls:

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

series679.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt x)
180.0ms	(cbrt x)
177.0ms	(cbrt x)
149.0ms	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify95.0ms

Counts

79 → 79

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	278	677
1	832	602
2	3218	584
3	5001	583
done	5001	583

prune273.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 20.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.9b	(- (+ x 1.0) x)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`prod-diff`
9×	`cbrt-prod` `add-log-exp`
5×	`distribute-lft-out`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3`
2×	`diff-log` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt x)
1.0ms	(cbrt x)
41.0ms	(- (+ x 1.0) x)

series521.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt x)
174.0ms	(cbrt x)
174.0ms	(cbrt x)
1.0ms	(- (+ x 1.0) x)

simplify127.0ms

Counts

86 → 86

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	161	357
1	565	244
2	3823	214
3	5001	206
done	5001	206

prune281.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	25
1	23	25
2	23	25
done	23	25

end0.0ms

sample509.0ms

Algorithm

intervals

Results

165.0ms	1759×	body	1280	valid
92.0ms	1177×	body	640	valid
84.0ms	4155×	body	80	valid
32.0ms	588×	body	320	valid
12.0ms	321×	body	160	valid