Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	60×	body	1280	valid
3.0ms	37×	body	640	valid
3.0ms	130×	body	80	valid
1.0ms	16×	body	320	valid
0.0ms	13×	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: 29.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.6b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite24.0ms

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:

2.0ms	(cbrt (+ x 1.0))
0.0ms	(cbrt x)
21.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series416.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(cbrt (+ x 1.0))
175.0ms	(cbrt x)
152.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify162.0ms

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

prune151.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 12.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
2.6b	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite13.0ms

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:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
10.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series737.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt x)
176.0ms	(cbrt x)
200.0ms	(cbrt x)
177.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify137.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (27.0ms)

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

prune183.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
2.6b	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
2.6b	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
2.6b	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

0.0ms	(cbrt x)
10.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
10.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
11.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series712.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt x)
178.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
178.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
181.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify137.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	243	756
1	829	604
2	4198	556
3	5001	556

prune259.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 12.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
8.4b	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
8×	`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 → 48

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
15.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

series764.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
178.0ms	(cbrt x)
235.0ms	(cbrt (cbrt x))
174.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

simplify172.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	279	497
1	958	438
2	4798	433
3	5001	433

prune206.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.7b

regimes64.0ms

Accuracy

99.3% (0.1b remaining)

Error of 12.3b against oracle of 12.1b and baseline of 30.7b

bsearch95.0ms

Steps

Iters	Range		Point
9	0.006665254470786589	7065.8830381017015	0.016487902542018727
9	-1.0833306965975028e+69	-2.038197479000767e+61	-4.534627898974052e+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

sample703.0ms

Algorithm

intervals

Results

372.0ms	1725×	body	1280	valid
104.0ms	1319×	body	640	valid
81.0ms	3981×	body	80	valid
36.0ms	643×	body	320	valid
13.0ms	332×	body	160	valid