Details

analyze71.0ms (5.4%)

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

sample11.0ms (0.8%)

Algorithm

1×

intervals

Results

4.0ms	252×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	80	invalid

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	172	5
1	172	5

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: 0.0b

Counts

2 → 1

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite6.0ms (0.5%)

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 (0.3%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(* 200.0 (- x y))

simplify63.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune44.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b	(* (- x y) (sqrt 200.0))
0.3b	(* (sqrt 200.0) (* (- x y) (sqrt 200.0)))

rewrite18.0ms (1.4%)

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)))
8.0ms	(* (- x y) (sqrt 200.0))

series17.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(* (sqrt 200.0) (* (- x y) (sqrt 200.0)))
6.0ms	(* (- x y) (sqrt 200.0))

simplify46.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5008	392

prune90.0ms (6.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	55	4	59

Merged error: 0b

Counts

59 → 4

localize7.0ms (0.5%)

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)))

rewrite21.0ms (1.6%)

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

series15.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (- x y) (cbrt 200.0)))
6.0ms	(* (- x y) (cbrt 200.0))

simplify35.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5454	395

prune92.0ms (7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	56	4	60

Merged error: 0b

Counts

60 → 4

localize12.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.2b	(* (- x y) (pow (sqrt 200.0) 3/2))
0.3b	(* (sqrt (sqrt 200.0)) (* (- x y) (pow (sqrt 200.0) 3/2)))
1.0b	(pow (sqrt 200.0) 3/2)
1.0b	(sqrt (sqrt 200.0))

rewrite26.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`sqrt-prod`
20×	`add-exp-log`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`unpow-prod-down` `associate-l`
11×	`associate-r` `add-cbrt-cube`
10×	`pow1` `prod-exp`
5×	`sqrt-pow1`
4×	`associate-*l/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `pow-unpow` `pow-pow` `pow1/2` `pow-exp` `sqr-pow`
2×	`rem-sqrt-square` `flip3--` `associate-r/` `-commutative` `flip--`
1×	`pow-prod-down` `sqrt-pow2` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

10.0ms	(* (sqrt (sqrt 200.0)) (* (- x y) (pow (sqrt 200.0) 3/2)))
8.0ms	(* (- x y) (pow (sqrt 200.0) 3/2))
3.0ms	(pow (sqrt 200.0) 3/2)
2.0ms	(sqrt (sqrt 200.0))

series25.0ms (1.9%)

Counts

4 → 8

Calls

4 calls:

16.0ms	(* (- x y) (pow (sqrt 200.0) 3/2))
9.0ms	(* (sqrt (sqrt 200.0)) (* (- x y) (pow (sqrt 200.0) 3/2)))
0.0ms	(sqrt (sqrt 200.0))
0.0ms	(pow (sqrt 200.0) 3/2)

simplify57.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5019	787

prune213.0ms (16.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	110	4	114

Merged error: 0b

Counts

114 → 4

regimes156.0ms (11.7%)

Accuracy

Total 0.0b remaining (70.4%)

Threshold costs 0.0b (70.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms (0%)

sample275.0ms (20.7%)

Algorithm

1×

intervals

Results

138.0ms	7879×	body	80	valid
3.0ms	46×	body	1280	valid
2.0ms	31×	body	640	valid
1.0ms	16×	body	2560	valid
1.0ms	56×	body	80	invalid
1.0ms	15×	body	320	valid
0.0ms	13×	body	160	valid

Details

analyze71.0ms (5.4%)

sample11.0ms (0.8%)

simplify8.0ms (0.6%)

prune4.0ms (0.3%)

localize3.0ms (0.2%)

rewrite6.0ms (0.5%)

series4.0ms (0.3%)

simplify63.0ms (4.7%)

prune44.0ms (3.3%)

localize6.0ms (0.4%)

rewrite18.0ms (1.4%)

series17.0ms (1.3%)

simplify46.0ms (3.5%)

prune90.0ms (6.8%)

localize7.0ms (0.5%)

rewrite21.0ms (1.6%)

series15.0ms (1.1%)

simplify35.0ms (2.6%)

prune92.0ms (7%)

localize12.0ms (0.9%)

rewrite26.0ms (1.9%)

series25.0ms (1.9%)

simplify57.0ms (4.3%)

prune213.0ms (16.1%)

regimes156.0ms (11.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample275.0ms (20.7%)

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