Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

sample21.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms	56×	body	1280	valid
3.0ms	142×	body	80	valid
3.0ms	36×	body	640	valid
1.0ms	16×	body	320	valid
0.0ms	6×	body	160	valid

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	71	7
1	71	7

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 27.1b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.1b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite13.0ms (0.7%)

Algorithm

1×	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 → 43

Calls

3 calls:

8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)

series47.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(cbrt x)
15.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
6.0ms	(cbrt (+ x 1.0))

simplify66.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4919	486
1	4919	486

prune94.0ms (4.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	4	53

Merged error: 0.2b

Counts

53 → 4

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series93.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt x) (cbrt x))
22.0ms	(cbrt x)
22.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify46.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune182.0ms (9.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	79	10	89

Merged error: 0.1b

Counts

89 → 10

localize16.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(cbrt (cbrt x))
0.7b	(cbrt (cbrt x))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series108.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (cbrt x))
30.0ms	(cbrt (cbrt x))
24.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify35.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4926	282
1	4926	282

prune163.0ms (8.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	1	7	8
Picked	0	1	1
Done	1	0	1
Total	61	11	72

Merged error: 0.1b

Counts

72 → 11

localize22.0ms (1.1%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt x))
0.7b	(cbrt (cbrt x))
0.7b	(cbrt (cbrt x))
0.7b	(cbrt (cbrt x))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))

series124.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (cbrt x))
31.0ms	(cbrt (cbrt x))
30.0ms	(cbrt (cbrt x))
30.0ms	(cbrt (cbrt x))

simplify59.0ms (3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4787	368
1	4787	368

prune156.0ms (7.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	65	14	79

Merged error: 0.1b

Counts

79 → 14

regimes77.0ms (3.9%)

Accuracy

Total 0.4b remaining (76%)

Threshold costs 0.4b (76%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	27
1	20	27

end0.0ms (0%)

sample586.0ms (29.9%)

Algorithm

1×

intervals

Results

213.0ms	1723×	body	1280	valid
119.0ms	1261×	body	640	valid
100.0ms	4084×	body	80	valid
45.0ms	630×	body	320	valid
14.0ms	302×	body	160	valid

Details

analyze1.0ms (0.1%)

sample21.0ms (1.1%)

simplify5.0ms (0.2%)

prune5.0ms (0.3%)

localize6.0ms (0.3%)

rewrite13.0ms (0.7%)

series47.0ms (2.4%)

simplify66.0ms (3.4%)

prune94.0ms (4.8%)

localize13.0ms (0.6%)

rewrite11.0ms (0.5%)

series93.0ms (4.7%)

simplify46.0ms (2.3%)

prune182.0ms (9.2%)

localize16.0ms (0.8%)

rewrite7.0ms (0.3%)

series108.0ms (5.5%)

simplify35.0ms (1.8%)

prune163.0ms (8.3%)

localize22.0ms (1.1%)

rewrite8.0ms (0.4%)

series124.0ms (6.3%)

simplify59.0ms (3%)

prune156.0ms (7.9%)

regimes77.0ms (3.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample586.0ms (29.9%)

Profiling