Details

analyze37.0ms

Algorithm

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune2.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 45

Calls

1 calls:

7.0ms

(/ (+ x y) (- x y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(/ (+ x y) (- x y))

simplify44.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5062	533

prune69.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Merged error: 0.0b

Counts

49 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (exp (/ (+ x y) (- x y))))
0.0b	(exp (/ (+ x y) (- x y)))
0.0b	(/ (+ x y) (- x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`log-prod` `flip3--` `flip--` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 117

Calls

3 calls:

9.0ms	(log (exp (/ (+ x y) (- x y))))
10.0ms	(exp (/ (+ x y) (- x y)))
7.0ms	(/ (+ x y) (- x y))

series27.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(log (exp (/ (+ x y) (- x y))))
11.0ms	(exp (/ (+ x y) (- x y)))
8.0ms	(/ (+ x y) (- x y))

simplify54.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4946	1165
1	4946	1165

prune115.0ms

Filtered

83 candidates to 126 candidates (-51.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	125	6	131

Merged error: 0.0b

Counts

131 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ x y) (- x y)))
0.0b	(/ (+ x y) (- x y))
0.8b	(cbrt (pow (exp (/ (+ x y) (- x y))) 3))
1.0b	(pow (exp (/ (+ x y) (- x y))) 3)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
41×	`add-cube-cbrt`
27×	`pow-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`cbrt-prod`
7×	`add-cbrt-cube`
6×	`add-exp-log` `unpow-prod-down` `cube-prod` `associate-/r/`
5×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-/l*`
3×	`pow-unpow` `flip3--` `flip--` `div-inv`
2×	`cube-mult` `unpow3` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `pow1/3` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `flip-+` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 149

Calls

4 calls:

8.0ms	(exp (/ (+ x y) (- x y)))
8.0ms	(/ (+ x y) (- x y))
10.0ms	(cbrt (pow (exp (/ (+ x y) (- x y))) 3))
11.0ms	(pow (exp (/ (+ x y) (- x y))) 3)

series67.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (/ (+ x y) (- x y)))
11.0ms	(/ (+ x y) (- x y))
20.0ms	(cbrt (pow (exp (/ (+ x y) (- x y))) 3))
24.0ms	(pow (exp (/ (+ x y) (- x y))) 3)

simplify47.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5295	1626

prune191.0ms

Filtered

99 candidates to 161 candidates (-62.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	162	5	167

Merged error: 0.0b

Counts

167 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.8b	(cbrt (pow (pow (exp (/ (+ x y) (- x y))) (sqrt 3)) (sqrt 3)))
1.0b	(pow (pow (exp (/ (+ x y) (- x y))) (sqrt 3)) (sqrt 3))
1.2b	(pow (exp (/ (+ x y) (- x y))) (sqrt 3))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
40×	`times-frac`
35×	`add-cube-cbrt`
28×	`pow-pow`
26×	`exp-prod`
23×	`unpow-prod-down`
12×	`pow-unpow`
11×	`cbrt-prod` `distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
6×	`sqrt-prod` `add-cbrt-cube`
5×	`pow1` `pow-exp` `associate-/r*` `sqr-pow`
4×	`associate-/r/` `associate-/l*` `add-log-exp`
3×	`pow-to-exp`
2×	`flip3--` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `pow1/3` `div-exp` `clear-num` `flip-+`

Counts

4 → 136

Calls

4 calls:

8.0ms	(/ (+ x y) (- x y))
9.0ms	(cbrt (pow (pow (exp (/ (+ x y) (- x y))) (sqrt 3)) (sqrt 3)))
10.0ms	(pow (pow (exp (/ (+ x y) (- x y))) (sqrt 3)) (sqrt 3))
11.0ms	(pow (exp (/ (+ x y) (- x y))) (sqrt 3))

series205.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ (+ x y) (- x y))
87.0ms	(cbrt (pow (pow (exp (/ (+ x y) (- x y))) (sqrt 3)) (sqrt 3)))
67.0ms	(pow (pow (exp (/ (+ x y) (- x y))) (sqrt 3)) (sqrt 3))
43.0ms	(pow (exp (/ (+ x y) (- x y))) (sqrt 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4920	2070
1	4920	2070

prune278.0ms

Filtered

101 candidates to 148 candidates (-46.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	148	5	153

Merged error: 0.0b

Counts

153 → 5

regimes121.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms

analyze24.0ms

Algorithm

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample306.0ms

Algorithm

intervals

Results

179.0ms

8000×

body

valid

Details

analyze37.0ms

sample12.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series8.0ms

simplify44.0ms

prune69.0ms

localize8.0ms

rewrite31.0ms

series27.0ms

simplify54.0ms

prune115.0ms

localize12.0ms

rewrite42.0ms

series67.0ms

simplify47.0ms

prune191.0ms

localize20.0ms

rewrite43.0ms

series205.0ms

simplify62.0ms

prune278.0ms

regimes121.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze24.0ms

sample306.0ms

Profiling