Details

analyze34.0ms (3.5%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

sample16.0ms (1.6%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

simplify59.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	1002	7
1	1002	7

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

localize5.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))

rewrite10.0ms (1%)

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) (- 1.0 y))

series7.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ (- x y) (- 1.0 y))

simplify44.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5235	675

prune72.0ms (7.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Merged error: 0b

Counts

56 → 2

localize8.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
0.0b	(exp (/ (- x y) (- 1.0 y)))
4.1b	(log (exp (/ (- x y) (- 1.0 y))))

rewrite36.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`add-sqr-sqrt` `*-un-lft-identity`
75×	`times-frac`
62×	`exp-prod`
38×	`add-cube-cbrt`
32×	`log-pow` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`log-prod` `div-sub` `div-inv`
2×	`exp-diff` `associate-/l/`
1×	`cbrt-undiv` `log-div` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `rem-exp-log`

Counts

3 → 136

Calls

3 calls:

11.0ms	(exp (/ (- x y) (- 1.0 y)))
11.0ms	(log (exp (/ (- x y) (- 1.0 y))))
7.0ms	(/ (- x y) (- 1.0 y))

series21.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

8.0ms	(exp (/ (- x y) (- 1.0 y)))
7.0ms	(log (exp (/ (- x y) (- 1.0 y))))
6.0ms	(/ (- x y) (- 1.0 y))

simplify53.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4966	1535
1	4966	1535

prune218.0ms (22.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	145	2	147

Merged error: 0b

Counts

147 → 2

regimes94.0ms (9.7%)

Accuracy

Total 0.0b remaining (4.4%)

Threshold costs 0.0b (4.4%)

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%)

sample286.0ms (29.6%)

Algorithm

1×

intervals

Results

169.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze34.0ms (3.5%)

sample16.0ms (1.6%)

simplify59.0ms (6.1%)

prune5.0ms (0.5%)

localize5.0ms (0.5%)

rewrite10.0ms (1%)

series7.0ms (0.7%)

simplify44.0ms (4.6%)

prune72.0ms (7.4%)

localize8.0ms (0.8%)

rewrite36.0ms (3.7%)

series21.0ms (2.2%)

simplify53.0ms (5.4%)

prune218.0ms (22.6%)

regimes94.0ms (9.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample286.0ms (29.6%)

Profiling