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

sample228.0ms

Algorithm

intervals

Results

202.0ms

256×

body

valid

simplify477.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	786	11
1	786	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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:

7.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
9.0ms	(/ (- 1.0 x) (+ 1.0 x))
2.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
4.0ms	(/ (- 1.0 x) (+ 1.0 x))
16.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify36.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5097	1256

prune161.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

85×	`sqrt-prod`
78×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
56×	`times-frac`
40×	`add-cube-cbrt`
10×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`sqrt-div` `associate-/l*`
7×	`associate-/r*`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `sqrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 128

Calls

4 calls:

3.0ms	(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (- 1.0 x))
9.0ms	(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
3.0ms	(sqrt (+ 1.0 x))
4.0ms	(sqrt (- 1.0 x))
5.0ms	(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5142	1931

prune196.0ms

Filtered

82 candidates to 140 candidates (-70.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	140	2	142

Merged error: 0b

Counts

142 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

1.0ms	(atan (sqrt (log (exp (/ (- 1.0 x) (+ 1.0 x))))))
8.0ms	(/ (- 1.0 x) (+ 1.0 x))
12.0ms	(log (exp (/ (- 1.0 x) (+ 1.0 x))))
8.0ms	(exp (/ (- 1.0 x) (+ 1.0 x)))

series13.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(atan (sqrt (log (exp (/ (- 1.0 x) (+ 1.0 x))))))
3.0ms	(/ (- 1.0 x) (+ 1.0 x))
3.0ms	(log (exp (/ (- 1.0 x) (+ 1.0 x))))
6.0ms	(exp (/ (- 1.0 x) (+ 1.0 x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4958	1388
1	4958	1388

prune229.0ms

Filtered

96 candidates to 139 candidates (-44.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	139	2	141

Merged error: 0b

Counts

141 → 2

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	12
1	22	12

end0.0ms

sample807.0ms

Algorithm

intervals

Results

351.0ms

8000×

body

valid

Details

analyze12.0ms

sample228.0ms

simplify477.0ms

prune4.0ms

localize11.0ms

rewrite23.0ms

series25.0ms

simplify36.0ms

prune161.0ms

localize10.0ms

rewrite24.0ms

series17.0ms

simplify53.0ms

prune196.0ms

localize17.0ms

rewrite34.0ms

series13.0ms

simplify51.0ms

prune229.0ms

regimes50.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample807.0ms

Profiling