Details

analyze64.0ms (5.3%)

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
54.6%	42.1%	3.2%	7
63.2%	30.4%	6.3%	8
69.9%	21.5%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
82%	7%	11%	12
83.9%	4.4%	11.8%	13
84.7%	3.5%	11.8%	14

sample21.0ms (1.8%)

Algorithm

1×

intervals

Results

4.0ms	178×	body	80	valid
2.0ms	29×	body	640	valid
2.0ms	20×	body	1280	valid
1.0ms	20×	body	320	valid
0.0ms	9×	body	160	valid
0.0ms	1×	body	80	invalid

simplify103.0ms (8.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	1642	9
1	1642	9

prune5.0ms (0.4%)

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: 18.8b

Counts

2 → 1

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
3.0b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite13.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

8.0ms	(* (- 1.0 x) (- 1.0 y))
4.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series8.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))
4.0ms	(* (- 1.0 x) (- 1.0 y))

simplify36.0ms (3%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5073	575

prune94.0ms (7.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	2	52

Merged error: 0b

Counts

52 → 2

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(* (- 1.0 x) y)

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

6.0ms

(* (- 1.0 x) y)

series5.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (- 1.0 x) y)

simplify44.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5237	162

prune36.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

27 → 2

localize10.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 y) (- (* 1.0 1.0) (* x x)))
3.0b	(+ x (/ (* (- 1.0 y) (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))
14.3b	(/ (* (- 1.0 y) (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

rewrite31.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`flip3--` `flip--`
11×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`times-frac` `associate-r/` `associate-r` `associate-l/` `associate-/r*`
3×	`distribute-lft-out`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `difference-of-squares`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

13.0ms	(/ (* (- 1.0 y) (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
9.0ms	(* (- 1.0 y) (- (* 1.0 1.0) (* x x)))
7.0ms	(+ x (/ (* (- 1.0 y) (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))

series34.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ x (/ (* (- 1.0 y) (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))
10.0ms	(/ (* (- 1.0 y) (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
9.0ms	(* (- 1.0 y) (- (* 1.0 1.0) (* x x)))

simplify31.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5187	1198

prune131.0ms (10.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Merged error: 0b

Counts

87 → 2

regimes89.0ms (7.3%)

Accuracy

Total 0.0b remaining (36.3%)

Threshold costs 0.0b (36.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	158	7
1	158	7

end0.0ms (0%)

sample434.0ms (35.8%)

Algorithm

1×

intervals

Results

141.0ms	5832×	body	80	valid
73.0ms	844×	body	640	valid
41.0ms	387×	body	1280	valid
37.0ms	593×	body	320	valid
15.0ms	344×	body	160	valid
4.0ms	74×	body	80	invalid

Details

analyze64.0ms (5.3%)

sample21.0ms (1.8%)

simplify103.0ms (8.5%)

prune5.0ms (0.4%)

localize6.0ms (0.5%)

rewrite13.0ms (1.1%)

series8.0ms (0.7%)

simplify36.0ms (3%)

prune94.0ms (7.8%)

localize5.0ms (0.4%)

rewrite6.0ms (0.5%)

series5.0ms (0.4%)

simplify44.0ms (3.7%)

prune36.0ms (3%)

localize10.0ms (0.8%)

rewrite31.0ms (2.5%)

series34.0ms (2.8%)

simplify31.0ms (2.6%)

prune131.0ms (10.8%)

regimes89.0ms (7.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end0.0ms (0%)

sample434.0ms (35.8%)

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