Details

analyze75.0ms (4.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify17.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	380	7
1	380	7

prune4.0ms (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: 0.1b

Counts

2 → 1

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 24

Calls

1 calls:

7.0ms

(* (* x y) (- 1.0 y))

series10.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(* (* x y) (- 1.0 y))

simplify41.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5044	220

prune54.0ms (3.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Merged error: 0.0b

Counts

28 → 7

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))

rewrite22.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))

series25.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
6.0ms	(cbrt (- 1.0 y))
6.0ms	(cbrt (- 1.0 y))
6.0ms	(cbrt (- 1.0 y))

simplify46.0ms (3%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4902	1133
1	4902	1133

prune269.0ms (17.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	112	8	120

Merged error: 0b

Counts

120 → 8

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
5.2b	(* x (* y (- 1.0 y)))

rewrite16.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
5×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 48

Calls

2 calls:

8.0ms	(* y (- 1.0 y))
7.0ms	(* x (* y (- 1.0 y)))

series11.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (* y (- 1.0 y)))
4.0ms	(* y (- 1.0 y))

simplify46.0ms (3%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4933	399
1	4933	399

prune82.0ms (5.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	54	8	62

Merged error: 0b

Counts

62 → 8

localize16.0ms (1%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (+ 1.0 y))
5.4b	(cbrt (- (* 1.0 1.0) (* y y)))

rewrite16.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod`
14×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`distribute-lft-out--`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 58

Calls

4 calls:

6.0ms	(cbrt (- (* 1.0 1.0) (* y y)))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (+ 1.0 y))

series30.0ms (2%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(cbrt (- (* 1.0 1.0) (* y y)))
6.0ms	(cbrt (- 1.0 y))
6.0ms	(cbrt (- 1.0 y))
6.0ms	(cbrt (+ 1.0 y))

simplify79.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4934	750
1	4934	750

prune175.0ms (11.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	70	8	78

Merged error: 0b

Counts

78 → 8

regimes169.0ms (11%)

Accuracy

Total 0.1b remaining (77.9%)

Threshold costs 0.1b (77.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms (0%)

sample298.0ms (19.4%)

Algorithm

1×

intervals

Results

175.0ms	8000×	body	80	valid
4.0ms	186×	body	80	invalid

Details

analyze75.0ms (4.9%)

sample12.0ms (0.8%)

simplify17.0ms (1.1%)

prune4.0ms (0.3%)

localize4.0ms (0.3%)

rewrite8.0ms (0.5%)

series10.0ms (0.7%)

simplify41.0ms (2.6%)

prune54.0ms (3.5%)

localize8.0ms (0.5%)

rewrite22.0ms (1.4%)

series25.0ms (1.6%)

simplify46.0ms (3%)

prune269.0ms (17.4%)

localize4.0ms (0.3%)

rewrite16.0ms (1%)

series11.0ms (0.7%)

simplify46.0ms (3%)

prune82.0ms (5.3%)

localize16.0ms (1%)

rewrite16.0ms (1%)

series30.0ms (2%)

simplify79.0ms (5.1%)

prune175.0ms (11.4%)

regimes169.0ms (11%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample298.0ms (19.4%)

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