Details

sample158.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.493286%

Guaranteed chance to sample good point: 96.627481%

Results

14.0ms	256×	body	80	valid
0.0ms	2×	body	80	nan
0.0ms	1×	body	80	invalid

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

localize5.0ms

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)))
7.0ms	(* y (sqrt x))

simplify128.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (27.0ms)

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

prune64.0ms

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))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite23.0ms

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))
4.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
9.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (sqrt x))
14.0ms	(sqrt (sqrt x))
10.0ms	(* 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

prune94.0ms

Filtered

57 candidates to 100 candidates (-75.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	101	5	106

Merged error: 0b

Counts

106 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
0.1b	(sqrt (sqrt x))
0.2b	(* y (pow x 1/4))
0.3b	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`add-log-exp`
8×	`pow1`
4×	`unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `associate-+l+` `pow1/2` `pow-exp` `sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `flip-+`

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
2.0ms	(sqrt (sqrt x))
5.0ms	(* y (pow x 1/4))
8.0ms	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
17.0ms	(sqrt (sqrt x))
12.0ms	(* y (pow x 1/4))
12.0ms	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	458	609
1	2014	557
2	5002	532

prune118.0ms

Filtered

62 candidates to 96 candidates (-54.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	96	5	101

Merged error: 0b

Counts

101 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series92.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt x) (cbrt x))
22.0ms	(cbrt x)
21.0ms	(cbrt x)
24.0ms	(cbrt x)

simplify73.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune94.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0b

Counts

90 → 5

regimes139.0ms

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

sample590.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.493286%

Guaranteed chance to sample good point: 96.627481%

Results

248.0ms	7997×	body	80	valid
1.0ms	52×	body	80	nan
1.0ms	33×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

Details

sample158.0ms

simplify16.0ms

prune3.0ms

localize5.0ms

rewrite12.0ms

series13.0ms

simplify128.0ms

prune64.0ms

localize8.0ms

rewrite23.0ms

series46.0ms

simplify42.0ms

prune94.0ms

localize13.0ms

rewrite23.0ms

series52.0ms

simplify58.0ms

prune118.0ms

localize16.0ms

rewrite11.0ms

series92.0ms

simplify73.0ms

prune94.0ms

regimes139.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample590.0ms

Profiling