Details

sample233.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 50.048816%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results

13.0ms

256×

body

valid

simplify347.0ms

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

localize22.0ms

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))

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:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
8.0ms	(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))

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

prune175.0ms

Filtered

70 candidates to 100 candidates (-42.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:

12.0ms	(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
3.0ms	(sqrt (- 1.0 x))
3.0ms	(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
3.0ms	(sqrt (+ 1.0 x))

series14.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	387	1280
1	1221	1220
2	5001	1157

prune216.0ms

Filtered

82 candidates to 140 candidates (-70.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	140	3	143

Merged error: 0b

Counts

143 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

121×	`*-un-lft-identity`
80×	`times-frac`
79×	`add-sqr-sqrt`
78×	`cbrt-prod`
45×	`add-cube-cbrt`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`pow1` `flip3-+` `associate-/r*` `flip-+` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
2×	`associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--`

Counts

4 → 151

Calls

4 calls:

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

series24.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify150.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	339	1407
1	1001	1360
2	4421	1339
3	5002	1324

prune430.0ms

Filtered

111 candidates to 163 candidates (-46.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	163	3	166

Merged error: 0b

Counts

166 → 3

regimes159.0ms

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	7
1	12	7

end0.0ms

sample497.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 50.048816%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results

394.0ms

8000×

body

valid

Details

sample233.0ms

simplify347.0ms

prune4.0ms

localize22.0ms

rewrite23.0ms

series18.0ms

simplify38.0ms

prune175.0ms

localize8.0ms

rewrite27.0ms

series14.0ms

simplify43.0ms

prune216.0ms

localize10.0ms

rewrite34.0ms

series24.0ms

simplify150.0ms

prune430.0ms

regimes159.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample497.0ms

Profiling