Details

analyze12.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample22.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify637.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	11
1	14	11

prune4.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

3 → 91

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
7.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms	(/ (- 1.0 x) (+ 1.0 x))

series18.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
5.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify57.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5147	1251

prune169.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3)))
0.0b	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.1b	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
145×	`add-sqr-sqrt`
142×	`times-frac`
122×	`cbrt-prod`
80×	`unpow-prod-down` `cube-prod`
79×	`add-cube-cbrt`
61×	`sqrt-prod`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv`
6×	`pow1`
5×	`associate-/l*`
4×	`associate-/r*` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3`
2×	`cbrt-undiv` `cbrt-div` `sqrt-pow1` `pow1/3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/2` `sqrt-div` `div-sub` `clear-num` `flip--` `rem-cbrt-cube`

Counts

4 → 265

Calls

4 calls:

15.0ms	(sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3)))
11.0ms	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
7.0ms	(/ (- 1.0 x) (+ 1.0 x))
10.0ms	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

series14.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3)))
3.0ms	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
3.0ms	(/ (- 1.0 x) (+ 1.0 x))
4.0ms	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

simplify56.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5513	3778

prune305.0ms

Filtered

121 candidates to 277 candidates (-128.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	277	0	277
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	277	3	280

Merged error: 0b

Counts

280 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(/ (- 1.0 x) (+ 1.0 x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

126×	`*-un-lft-identity`
82×	`add-sqr-sqrt`
80×	`times-frac`
52×	`cbrt-prod`
46×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
8×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube`
4×	`pow1` `flip3-+` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `cbrt-div` `flip3--` `frac-2neg` `pow1/3` `div-sub` `div-exp` `clear-num` `flip--`

Counts

4 → 162

Calls

4 calls:

9.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
6.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
8.0ms	(/ (- 1.0 x) (+ 1.0 x))
8.0ms	(/ (- 1.0 x) (+ 1.0 x))

series20.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
8.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
3.0ms	(/ (- 1.0 x) (+ 1.0 x))
3.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify53.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4949	2302
1	4949	2302

prune393.0ms

Filtered

120 candidates to 174 candidates (-45.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	174	3	177

Merged error: 0b

Counts

177 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x))))
0.0b	(cbrt (- 1.0 x))
0.0b	(cbrt (- 1.0 x))
0.0b	(cbrt (- 1.0 x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
17×	`sqrt-div`
16×	`frac-times`
15×	`cbrt-prod` `flip3--` `flip--`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`associate-*l/`
10×	`pow1`
7×	`add-cube-cbrt`
5×	`associate-*r/`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sqrt-pow1` `pow1/3` `pow-prod-down` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/2` `sqrt-prod`

Counts

4 → 74

Calls

4 calls:

18.0ms	(sqrt (* (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x))))
3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt (* (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x))))
6.0ms	(cbrt (- 1.0 x))
6.0ms	(cbrt (- 1.0 x))
6.0ms	(cbrt (- 1.0 x))

simplify44.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5021	1262

prune192.0ms

Filtered

67 candidates to 86 candidates (-28.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Merged error: 0b

Counts

89 → 3

regimes60.0ms

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	14	14
1	14	14

end0.0ms

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample507.0ms

Algorithm

intervals

Results

400.0ms

8000×

body

valid

Details

analyze12.0ms

sample22.0ms

simplify637.0ms

prune4.0ms

localize10.0ms

rewrite22.0ms

series18.0ms

simplify57.0ms

prune169.0ms

localize11.0ms

rewrite60.0ms

series14.0ms

simplify56.0ms

prune305.0ms

localize12.0ms

rewrite38.0ms

series20.0ms

simplify53.0ms

prune393.0ms

localize14.0ms

rewrite30.0ms

series23.0ms

simplify44.0ms

prune192.0ms

regimes60.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze5.0ms

sample507.0ms

Profiling