Details

analyze141.0ms (10%)

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
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

sample14.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify62.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	1002	7
1	1002	7

prune6.0ms (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: 0.0b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 52

Calls

1 calls:

8.0ms

(/ (- x y) (- z y))

series9.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(/ (- x y) (- z y))

simplify58.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4867	651
1	4867	651

prune63.0ms (4.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- z y))
0.3b	(* (- x y) (/ 1 (- z y)))

rewrite20.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 91

Calls

2 calls:

12.0ms	(* (- x y) (/ 1 (- z y)))
5.0ms	(/ 1 (- z y))

series13.0ms (1%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(* (- x y) (/ 1 (- z y)))
4.0ms	(/ 1 (- z y))

simplify45.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5302	808

prune108.0ms (7.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Merged error: 0b

Counts

100 → 3

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (- x y))
0.5b	(/ 1 (/ (- z y) (- x y)))

rewrite31.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

2 → 200

Calls

2 calls:

11.0ms	(/ 1 (/ (- z y) (- x y)))
7.0ms	(/ (- z y) (- x y))

series26.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

17.0ms	(/ 1 (/ (- z y) (- x y)))
9.0ms	(/ (- z y) (- x y))

simplify56.0ms (4%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4996	2916
1	4996	2916

prune213.0ms (15.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	206	3	209

Merged error: 0b

Counts

209 → 3

regimes162.0ms (11.6%)

Accuracy

Total 0.0b remaining (50.8%)

Threshold costs 0.0b (50.8%)

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%)

sample347.0ms (24.7%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	80	valid
5.0ms	208×	body	80	invalid

Details

analyze141.0ms (10%)

sample14.0ms (1%)

simplify62.0ms (4.4%)

prune6.0ms (0.4%)

localize5.0ms (0.3%)

rewrite10.0ms (0.7%)

series9.0ms (0.7%)

simplify58.0ms (4.1%)

prune63.0ms (4.5%)

localize6.0ms (0.4%)

rewrite20.0ms (1.5%)

series13.0ms (1%)

simplify45.0ms (3.2%)

prune108.0ms (7.7%)

localize6.0ms (0.4%)

rewrite31.0ms (2.2%)

series26.0ms (1.9%)

simplify56.0ms (4%)

prune213.0ms (15.2%)

regimes162.0ms (11.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample347.0ms (24.7%)

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