Details

sample38.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 23.556723%

Guaranteed chance to sample good point: 0%

Results

13.0ms	256×	body	80	valid
5.0ms	137×	body	80	nan

simplify548.0ms

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

prune5.0ms

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	(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))

rewrite34.0ms

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))

series19.0ms

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)))
11.0ms	(/ (- 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

prune180.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(/ 1 (sqrt (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (sqrt (+ 1.0 x)))
0.0b	(* (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

150×	`add-sqr-sqrt`
147×	`*-un-lft-identity`
134×	`times-frac`
87×	`sqrt-prod`
73×	`add-cube-cbrt`
41×	`associate-r`
32×	`add-exp-log`
27×	`associate-l`
20×	`add-cbrt-cube`
19×	`distribute-lft-out`
15×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`
14×	`associate-/r*`
11×	`div-exp`
10×	`sqrt-div`
9×	`pow1`
8×	`prod-exp` `associate-/r/` `associate-/l*`
6×	`cbrt-undiv`
5×	`flip3-+` `flip-+`
4×	`cbrt-unprod` `div-inv` `add-log-exp`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`
1×	`frac-times` `rem-sqrt-square` `flip3--` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `inv-pow`

Counts

4 → 238

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
6.0ms	(/ 1 (sqrt (+ 1.0 x)))
9.0ms	(/ (- 1.0 x) (sqrt (+ 1.0 x)))
38.0ms	(* (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))))

series19.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
4.0ms	(/ 1 (sqrt (+ 1.0 x)))
8.0ms	(/ (- 1.0 x) (sqrt (+ 1.0 x)))
3.0ms	(* (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))))

simplify101.0ms

Algorithm

egg-herbie

Counts

250 → 250

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	855	2287
1	4013	2019
2	5001	1894

prune421.0ms

Filtered

132 candidates to 250 candidates (-89.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	250	3	253

Merged error: 0b

Counts

253 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

102×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
68×	`times-frac`
65×	`sqrt-prod`
44×	`add-cube-cbrt`
38×	`associate-r`
17×	`distribute-lft-out`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-div`
8×	`pow1` `associate-l` `associate-/l*`
6×	`unswap-sqr`
5×	`flip3--` `flip--`
4×	`associate-/r*` `associate-/r/` `add-log-exp`
2×	`cbrt-undiv` `frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 164

Calls

4 calls:

23.0ms	(* (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)))
3.0ms	(sqrt (- 1.0 x))
3.0ms	(sqrt (- 1.0 x))
9.0ms	(/ (sqrt (- 1.0 x)) (+ 1.0 x))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)))
3.0ms	(sqrt (- 1.0 x))
4.0ms	(sqrt (- 1.0 x))
7.0ms	(/ (sqrt (- 1.0 x)) (+ 1.0 x))

simplify61.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	547	1418
1	2154	1308
2	5001	1257

prune327.0ms

Filtered

111 candidates to 176 candidates (-58.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	176	3	179

Merged error: 0b

Counts

179 → 3

regimes154.0ms

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	18	11
1	18	11

end0.0ms

sample744.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 23.556723%

Guaranteed chance to sample good point: 0%

Results

384.0ms	8000×	body	80	valid
152.0ms	4339×	body	80	nan

Details

sample38.0ms

simplify548.0ms

prune5.0ms

localize11.0ms

rewrite34.0ms

series19.0ms

simplify39.0ms

prune180.0ms

localize12.0ms

rewrite68.0ms

series19.0ms

simplify101.0ms

prune421.0ms

localize10.0ms

rewrite45.0ms

series17.0ms

simplify61.0ms

prune327.0ms

regimes154.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample744.0ms

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