Details

sample19.0ms

Algorithm

intervals

Results

5.0ms	53×	body	1280	valid
3.0ms	131×	body	80	valid
2.0ms	33×	body	640	valid
1.0ms	28×	body	320	valid
0.0ms	11×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
4.0b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 44

Calls

3 calls:

4.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
39.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series412.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(cbrt (+ x 1.0))
176.0ms	(cbrt x)
151.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify159.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	287	358
1	934	344
2	4833	322
3	5001	322

prune143.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 11.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.0b	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
23.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series715.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
178.0ms	(cbrt x)
185.0ms	(cbrt x)
173.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify134.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	243	356
1	829	292
2	4198	276
3	5001	276

prune184.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
4.0b	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
23.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series898.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (cbrt x))
240.0ms	(cbrt (cbrt x))
241.0ms	(cbrt (cbrt x))
176.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify107.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	259	461
1	778	404
2	3586	380
3	5001	380

prune267.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 11.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
4.0b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
10×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `difference-of-squares`
3×	`pow1/3` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
43.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series880.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt (cbrt x))
241.0ms	(cbrt (cbrt x))
245.0ms	(cbrt (cbrt x))
156.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify129.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	259	432
1	796	405
2	4101	386
3	5001	386

prune250.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 11.1b

regimes71.0ms

Accuracy

99.2% (0.1b remaining)

Error of 11.8b against oracle of 11.7b and baseline of 29.9b

bsearch88.0ms

Steps

Iters	Range		Point
6	2.5556453819330236	26.826342714152005	3.033604968776959
9	-3.6176712773181885e+65	-2.6772928612991434e+57	-4.53999343152509e+61

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	79
1	76	79
2	76	79

end0.0ms

sample503.0ms

Algorithm

intervals

Results

160.0ms	1731×	body	1280	valid
87.0ms	1233×	body	640	valid
86.0ms	4082×	body	80	valid
40.0ms	672×	body	320	valid
10.0ms	282×	body	160	valid