Details

analyze11.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.048816%

Guaranteed chance to sample good point: 99.987787%

sample22.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify556.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	19	6
2	21	6
3	21	6

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))

rewrite32.0ms

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))

simplify39.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	354	753
1	1071	709
2	5001	688

prune163.0ms

Filtered

70 candidates to 100 candidates (-42.9%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
56×	`times-frac`
52×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
17×	`sqrt-prod`
16×	`distribute-lft-out`
14×	`distribute-lft-out--`
12×	`associate-/r/`
8×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `difference-of-squares`
6×	`distribute-rgt-out--` `flip3-+` `flip-+` `div-inv` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`sqrt-div`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `frac-sub` `flip--` `sub-div`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 125

Calls

4 calls:

24.0ms	(sqrt (- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0))))
5.0ms	(/ x (+ x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
21.0ms	(- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)))

series15.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0))))
3.0ms	(/ x (+ x 1.0))
2.0ms	(/ 1.0 (+ x 1.0))
4.0ms	(- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	461	975
1	1564	939
2	5001	914

prune219.0ms

Filtered

101 candidates to 137 candidates (-35.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	137	2	139

Merged error: 0b

Counts

139 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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:

8.0ms	(/ (- 1.0 x) (+ 1.0 x))
7.0ms	(/ (- 1.0 x) (+ 1.0 x))
6.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (- 1.0 x) (+ 1.0 x))
3.0ms	(/ (- 1.0 x) (+ 1.0 x))
6.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
8.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))

simplify146.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	339	1350
1	1001	1300
2	4421	1278
3	5002	1268

prune378.0ms

Filtered

118 candidates to 174 candidates (-47.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	174	2	176

Merged error: 0b

Counts

176 → 2

regimes53.0ms

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	12	8
1	12	8

end0.0ms

analyze5.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.048816%

Guaranteed chance to sample good point: 99.987787%

sample492.0ms

Algorithm

intervals

Results

393.0ms

8000×

body

valid

Details

analyze11.0ms

sample22.0ms

simplify556.0ms

prune4.0ms

localize10.0ms

rewrite32.0ms

series18.0ms

simplify39.0ms

prune163.0ms

localize9.0ms

rewrite60.0ms

series15.0ms

simplify46.0ms

prune219.0ms

localize11.0ms

rewrite37.0ms

series20.0ms

simplify146.0ms

prune378.0ms

regimes53.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze5.0ms

sample492.0ms

Profiling