Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

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

sample24.0ms (1.3%)

Algorithm

1×

intervals

Results

7.0ms	130×	body	80	valid
6.0ms	57×	body	1280	valid
4.0ms	41×	body	640	valid
1.0ms	17×	body	160	valid
1.0ms	11×	body	320	valid

simplify4.0ms (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: 29.4b

Counts

2 → 1

localize5.0ms (0.3%)

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))

rewrite12.0ms (0.6%)

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:

7.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)

series41.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(cbrt x)
15.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
6.0ms	(cbrt (+ x 1.0))

simplify58.0ms (3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4919	486
1	4919	486

prune104.0ms (5.3%)

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

localize11.0ms (0.5%)

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)

rewrite12.0ms (0.6%)

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)

series88.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt x) (cbrt x))
21.0ms	(cbrt x)
20.0ms	(cbrt x)
20.0ms	(cbrt x)

simplify44.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune197.0ms (10.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	78	7	85
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	78	11	89

Merged error: 0.1b

Counts

89 → 11

localize17.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.9b	(pow (cbrt (cbrt x)) 4)

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

4.0ms	(cbrt (* (cbrt x) (cbrt x)))
3.0ms	(pow (cbrt (cbrt x)) 4)
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt x)

series124.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(pow (cbrt (cbrt x)) 4)
33.0ms	(cbrt (* (cbrt x) (cbrt x)))
30.0ms	(cbrt (cbrt x))
20.0ms	(cbrt x)

simplify56.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4891	388
1	4891	388

prune197.0ms (10.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	68	13	81

Merged error: 0.1b

Counts

81 → 13

localize18.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

series101.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (cbrt x))
28.0ms	(cbrt (cbrt x))
23.0ms	(cbrt x)
21.0ms	(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

prune137.0ms (7%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	1	9	10
Picked	0	1	1
Done	0	2	2
Total	59	16	75

Merged error: 0.1b

Counts

75 → 16

regimes90.0ms (4.6%)

Accuracy

Total 0.4b remaining (76.4%)

Threshold costs 0.4b (76.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	14	20

end0.0ms (0%)

sample555.0ms (28.4%)

Algorithm

1×

intervals

Results

198.0ms	1688×	body	1280	valid
114.0ms	1268×	body	640	valid
95.0ms	4123×	body	80	valid
40.0ms	622×	body	320	valid
15.0ms	299×	body	160	valid

Details

analyze1.0ms (0.1%)

sample24.0ms (1.3%)

simplify4.0ms (0.2%)

prune5.0ms (0.3%)

localize5.0ms (0.3%)

rewrite12.0ms (0.6%)

series41.0ms (2.1%)

simplify58.0ms (3%)

prune104.0ms (5.3%)

localize11.0ms (0.5%)

rewrite12.0ms (0.6%)

series88.0ms (4.5%)

simplify44.0ms (2.2%)

prune197.0ms (10.1%)

localize17.0ms (0.9%)

rewrite11.0ms (0.5%)

series124.0ms (6.3%)

simplify56.0ms (2.9%)

prune197.0ms (10.1%)

localize18.0ms (0.9%)

rewrite7.0ms (0.3%)

series101.0ms (5.2%)

simplify35.0ms (1.8%)

prune137.0ms (7%)

regimes90.0ms (4.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample555.0ms (28.4%)

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