Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	64×	body	1280	valid
3.0ms	46×	body	640	valid
2.0ms	120×	body	80	valid
1.0ms	14×	body	320	valid
0.0ms	12×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 32.3b

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.7b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite47.0ms

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)
42.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series407.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(cbrt (+ x 1.0))
179.0ms	(cbrt x)
141.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify163.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (29.0ms)

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

prune144.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 14.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
3.7b	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite30.0ms

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)
27.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series713.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt x)
177.0ms	(cbrt x)
180.0ms	(cbrt x)
174.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify133.0ms

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: 14.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
3.7b	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite27.0ms

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)
24.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series717.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt x)
179.0ms	(cbrt x)
186.0ms	(cbrt x)
176.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify133.0ms

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

prune222.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 14.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
10.8b	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

rewrite48.0ms

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--`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
45.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

series709.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt x)
177.0ms	(cbrt x)
177.0ms	(cbrt x)
171.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

simplify165.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (160.0ms)

Iter	Nodes	Cost
0	248	462
1	885	403
2	4541	400
3	5001	384

prune188.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 14.3b

regimes74.0ms

Accuracy

99.4% (0.1b remaining)

Error of 12.0b against oracle of 11.9b and baseline of 29.9b

bsearch73.0ms

Steps

Iters	Range		Point
5	0.001242113813128165	0.002806896206153352	0.0015443676479582381
9	-2.2416572831102474e+67	-1.1338306065556767e+59	-4.525663893489231e+61

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	52
1	69	52
2	69	52

end0.0ms

sample510.0ms

Algorithm

intervals

Results

162.0ms	1724×	body	1280	valid
93.0ms	1240×	body	640	valid
84.0ms	4091×	body	80	valid
37.0ms	630×	body	320	valid
11.0ms	315×	body	160	valid