Details

sample43.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.609375%

Guaranteed chance to sample good point: 99.224806%

Results

7.0ms	266×	body	80	valid
0.0ms	2×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	23	4
2	40	4
3	59	4
4	74	4
5	103	4
6	120	4
7	145	4
8	226	4
9	257	4
10	257	4

prune3.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`associate-+l+` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

6.0ms	(+ (- 1.0 x) (* y (sqrt x)))
5.0ms	(* y (sqrt x))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (- 1.0 x) (* y (sqrt x)))
6.0ms	(* y (sqrt x))

simplify124.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	229	223
1	909	209
2	4523	202
3	5001	202

prune61.0ms

Filtered

32 candidates to 43 candidates (-34.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	6	44

Merged error: 0.0b

Counts

44 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
9.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (sqrt x))
15.0ms	(sqrt (sqrt x))
13.0ms	(* y (sqrt (sqrt x)))
7.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify42.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	313	517
1	1342	467
2	5001	423

prune93.0ms

Filtered

57 candidates to 100 candidates (-75.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	99	7	106

Merged error: 0b

Counts

106 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
0.6b	(cbrt (pow (sqrt (sqrt x)) 3))
0.7b	(pow (sqrt (sqrt x)) 3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod`
48×	`cbrt-prod`
36×	`add-sqr-sqrt` `associate-r`
30×	`add-cube-cbrt` `*-un-lft-identity`
27×	`unpow-prod-down` `cube-prod`
14×	`pow1`
12×	`add-exp-log`
10×	`add-cbrt-cube`
5×	`pow-pow`
4×	`sqrt-pow1` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3` `unswap-sqr` `sqr-pow`
2×	`pow1/2` `*-commutative`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 141

Calls

4 calls:

6.0ms	(* y (sqrt (sqrt x)))
13.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
4.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
4.0ms	(pow (sqrt (sqrt x)) 3)

series54.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* y (sqrt (sqrt x)))
7.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
15.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
22.0ms	(pow (sqrt (sqrt x)) 3)

simplify72.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	524	890
1	2404	757
2	5001	700

prune130.0ms

Filtered

71 candidates to 153 candidates (-115.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	154	6	160

Merged error: 0b

Counts

160 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (cbrt x)) y)
0.3b	(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`cbrt-prod`
6×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 64

Calls

4 calls:

3.0ms	(* (fabs (cbrt x)) y)
7.0ms	(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series82.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (fabs (cbrt x)) y)
32.0ms	(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
22.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify80.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	261	429
1	1076	379
2	3888	342
3	5001	330

prune71.0ms

Filtered

53 candidates to 76 candidates (-43.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	76	6	82

Merged error: 0b

Counts

82 → 6

regimes144.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample484.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.609375%

Guaranteed chance to sample good point: 99.224806%

Results

251.0ms	8531×	body	80	valid
1.0ms	53×	body	80	nan

Details

sample43.0ms

simplify16.0ms

prune3.0ms

localize9.0ms

rewrite12.0ms

series13.0ms

simplify124.0ms

prune61.0ms

localize8.0ms

rewrite21.0ms

series48.0ms

simplify42.0ms

prune93.0ms

localize12.0ms

rewrite32.0ms

series54.0ms

simplify72.0ms

prune130.0ms

localize12.0ms

rewrite14.0ms

series82.0ms

simplify80.0ms

prune71.0ms

regimes144.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample484.0ms

Profiling