Details

analyze376.0ms (22.8%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
55.6%	39.2%	5.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample19.0ms (1.1%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

simplify116.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4799	9
1	4799	9

prune10.0ms (0.6%)

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 → 2

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(- (/ (- x y) z) 0.5)
0.0b	(/ (- x y) z)

rewrite17.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`associate-/l*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `div-sub` `flip--` `associate-/l/`
1×	`cbrt-undiv` `associate--l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 53

Calls

2 calls:

10.0ms	(- (/ (- x y) z) 0.5)
5.0ms	(/ (- x y) z)

series11.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (- x y) z)
5.0ms	(- (/ (- x y) z) 0.5)

simplify39.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5991	559

prune76.0ms (4.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	59	2	61

Merged error: 0b

Counts

61 → 2

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(- (- (/ x z) (/ y z)) 0.5)
0.0b	(- (/ x z) (/ y z))

rewrite29.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-log-exp`
7×	`distribute-lft-out--`
5×	`difference-of-squares`
4×	`add-cube-cbrt` `diff-log`
3×	`sub-neg`
2×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `div-inv`
1×	`associate--l-` `distribute-rgt-out--` `associate--l+` `frac-sub` `sub-div`

Counts

2 → 39

Calls

2 calls:

16.0ms	(- (- (/ x z) (/ y z)) 0.5)
12.0ms	(- (/ x z) (/ y z))

series11.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (/ x z) (/ y z))
5.0ms	(- (- (/ x z) (/ y z)) 0.5)

simplify51.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4930	519
1	4930	519

prune61.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Merged error: 0b

Counts

47 → 2

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.3b	(/ (* 4.0 (- (- x y) (* z 0.5))) z)

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`pow1` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

9.0ms

(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series10.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify39.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5645	290

prune33.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	26	2	28

Merged error: 0b

Counts

28 → 2

regimes203.0ms (12.3%)

Accuracy

Total 0.0b remaining (75.3%)

Threshold costs 0.0b (75.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	11
1	36	11

end0.0ms (0%)

sample517.0ms (31.4%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	80	valid
35.0ms	946×	body	80	invalid

Details

analyze376.0ms (22.8%)

sample19.0ms (1.1%)

simplify116.0ms (7%)

prune10.0ms (0.6%)

localize7.0ms (0.4%)

rewrite17.0ms (1%)

series11.0ms (0.7%)

simplify39.0ms (2.4%)

prune76.0ms (4.6%)

localize8.0ms (0.5%)

rewrite29.0ms (1.8%)

series11.0ms (0.7%)

simplify51.0ms (3.1%)

prune61.0ms (3.7%)

localize8.0ms (0.5%)

rewrite10.0ms (0.6%)

series10.0ms (0.6%)

simplify39.0ms (2.4%)

prune33.0ms (2%)

regimes203.0ms (12.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample517.0ms (31.4%)

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