Details

sample36.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50.024414%

Guaranteed chance to sample good point: 99.987787%

Results

14.0ms

256×

body

valid

simplify555.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
11.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (28.0ms)

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

prune170.0ms

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
40×	`times-frac`
36×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
12×	`distribute-lft-out`
8×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

4 → 101

Calls

4 calls:

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

series12.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ x (+ x 1.0))
2.0ms	(atan (sqrt (- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)))))
2.0ms	(/ 1.0 (+ x 1.0))
5.0ms	(- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)))

simplify180.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	357	705
1	1162	658
2	4892	648
3	5001	648

prune172.0ms

Filtered

83 candidates to 113 candidates (-36.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	113	2	115

Merged error: 0b

Counts

115 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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

series13.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	387	1282
1	1215	1220
2	5001	1157

prune203.0ms

Filtered

82 candidates to 140 candidates (-70.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

142 → 2

regimes30.0ms

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	12	8
1	12	8

end0.0ms

sample525.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50.024414%

Guaranteed chance to sample good point: 99.987787%

Results

381.0ms

8000×

body

valid

Details

sample36.0ms

simplify555.0ms

prune4.0ms

localize11.0ms

rewrite33.0ms

series18.0ms

simplify38.0ms

prune170.0ms

localize9.0ms

rewrite37.0ms

series12.0ms

simplify180.0ms

prune172.0ms

localize9.0ms

rewrite23.0ms

series13.0ms

simplify47.0ms

prune203.0ms

regimes30.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample525.0ms

Profiling