Details

analyze75.0ms (7.6%)

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
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

sample12.0ms (1.2%)

Algorithm

1×

intervals

Results

4.0ms	251×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	2×	body	80	invalid

simplify8.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	172	5
1	172	5

prune5.0ms (0.5%)

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: 0.0b

Counts

2 → 1

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite7.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

6.0ms

(* 200.0 (- x y))

series4.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(* 200.0 (- x y))

simplify58.0ms (6%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune42.0ms (4.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0b

Counts

28 → 3

localize7.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.1b	(* (- x y) (cbrt 200.0))
0.5b	(* (* (cbrt 200.0) (cbrt 200.0)) (* (- x y) (cbrt 200.0)))

rewrite20.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

11.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (- x y) (cbrt 200.0)))
7.0ms	(* (- x y) (cbrt 200.0))

series15.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (- x y) (cbrt 200.0)))
6.0ms	(* (- x y) (cbrt 200.0))

simplify34.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5454	395

prune95.0ms (9.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	56	3	59

Merged error: 0b

Counts

59 → 3

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.3b	(* (- x y) (sqrt 200.0))
0.3b	(* (sqrt 200.0) (* (- x y) (sqrt 200.0)))

rewrite18.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

9.0ms	(* (sqrt 200.0) (* (- x y) (sqrt 200.0)))
7.0ms	(* (- x y) (sqrt 200.0))

series16.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(* (sqrt 200.0) (* (- x y) (sqrt 200.0)))
6.0ms	(* (- x y) (sqrt 200.0))

simplify45.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5008	392

prune83.0ms (8.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	55	3	58

Merged error: 0b

Counts

58 → 3

regimes142.0ms (14.5%)

Accuracy

Total 0.0b remaining (84.5%)

Threshold costs 0.0b (84.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms (0%)

sample281.0ms (28.8%)

Algorithm

1×

intervals

Results

140.0ms	7853×	body	80	valid
4.0ms	51×	body	1280	valid
3.0ms	28×	body	2560	valid
2.0ms	38×	body	640	valid
1.0ms	62×	body	80	invalid
1.0ms	20×	body	320	valid
0.0ms	10×	body	160	valid

Details

analyze75.0ms (7.6%)

sample12.0ms (1.2%)

simplify8.0ms (0.8%)

prune5.0ms (0.5%)

localize4.0ms (0.4%)

rewrite7.0ms (0.7%)

series4.0ms (0.4%)

simplify58.0ms (6%)

prune42.0ms (4.3%)

localize7.0ms (0.7%)

rewrite20.0ms (2%)

series15.0ms (1.5%)

simplify34.0ms (3.4%)

prune95.0ms (9.7%)

localize6.0ms (0.6%)

rewrite18.0ms (1.8%)

series16.0ms (1.6%)

simplify45.0ms (4.6%)

prune83.0ms (8.5%)

regimes142.0ms (14.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample281.0ms (28.8%)

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