Details

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.630371%

Guaranteed chance to sample good point: 74.362057%

Results

8.0ms	256×	body	80	valid
3.0ms	103×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

3.0ms	(+ (* x y) z)
7.0ms	(+ (* (+ (* x y) z) y) t)
7.0ms	(* (+ (* x y) z) y)

series28.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x y) z)
15.0ms	(+ (* (+ (* x y) z) y) t)
8.0ms	(* (+ (* x y) z) y)

simplify104.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	208	263
1	742	237
2	4187	233
3	5002	233

prune67.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0.0b

Counts

52 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms

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 y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series90.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
23.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify71.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (66.0ms)

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

prune82.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))

series130.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
30.0ms	(cbrt (+ (* x y) z))
32.0ms	(cbrt (+ (* x y) z))
30.0ms	(cbrt (+ (* x y) z))

simplify80.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	282	876
1	876	825
2	3379	768
3	5002	750

prune116.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (- (* x y) z))
1.2b	(- (* (* x y) (* x y)) (* z z))
25.8b	(cbrt (- (* (* x y) (* x y)) (* z z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 53

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (- (* x y) z))
6.0ms	(- (* (* x y) (* x y)) (* z z))
6.0ms	(cbrt (- (* (* x y) (* x y)) (* z z)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ (* x y) z))
33.0ms	(cbrt (- (* x y) z))
14.0ms	(- (* (* x y) (* x y)) (* z z))
27.0ms	(cbrt (- (* (* x y) (* x y)) (* z z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	330	547
1	1073	503
2	5002	484

prune89.0ms

Filtered

58 candidates to 65 candidates (-12.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	65	7	72

Merged error: 0.0b

Counts

72 → 7

regimes428.0ms

Accuracy

0% (0.0b 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	12	4
1	12	4

end0.0ms

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.630371%

Guaranteed chance to sample good point: 74.362057%

Results

247.0ms	8000×	body	80	valid
78.0ms	2402×	body	80	invalid

Details

sample1.0s

simplify7.0ms

prune3.0ms

localize6.0ms

rewrite18.0ms

series28.0ms

simplify104.0ms

prune67.0ms

localize10.0ms

rewrite10.0ms

series90.0ms

simplify71.0ms

prune82.0ms

localize10.0ms

rewrite24.0ms

series130.0ms

simplify80.0ms

prune116.0ms

localize18.0ms

rewrite21.0ms

series104.0ms

simplify41.0ms

prune89.0ms

regimes428.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling