Details

analyze100.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.292737%

Guaranteed chance to sample good point: 97.42268%

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	28	3
2	46	3
3	47	3
4	47	3

prune2.0ms

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: 0.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (* x 3.0) y) y)
0.3b	(* (* x 3.0) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (* (* x 3.0) y) y)
5.0ms	(* (* x 3.0) y)

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (* (* x 3.0) y) y)
4.0ms	(* (* x 3.0) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	170	188
1	1034	145
2	5001	145

prune55.0ms

Filtered

24 candidates to 45 candidates (-87.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	7	46

Merged error: 0.0b

Counts

46 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x (* 3.0 y)) y)
0.2b	(* x (* 3.0 y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (* x (* 3.0 y)) y)
5.0ms	(* x (* 3.0 y))

series13.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(* (* x (* 3.0 y)) y)
4.0ms	(* x (* 3.0 y))

simplify34.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	171	188
1	889	145
2	5001	145

prune45.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
19.3b	(cbrt (* (* (* x 3.0) y) y))
19.3b	(cbrt (* (* (* x 3.0) y) y))
19.3b	(cbrt (* (* (* x 3.0) y) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

7.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
5.0ms	(cbrt (* (* (* x 3.0) y) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))

series105.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
24.0ms	(cbrt (* (* (* x 3.0) y) y))
24.0ms	(cbrt (* (* (* x 3.0) y) y))
25.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify105.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	220	561
1	716	496
2	3663	429
3	5002	423

prune140.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* 3.0 y) y)
7.8b	(* x (* (* 3.0 y) y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

5.0ms	(* (* 3.0 y) y)
6.0ms	(* x (* (* 3.0 y) y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* (* 3.0 y) y)
8.0ms	(* x (* (* 3.0 y) y))

simplify152.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	168	188
1	840	145
2	4944	145
3	5001	145

prune28.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

regimes197.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

analyze97.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.292737%

Guaranteed chance to sample good point: 97.42268%

sample320.0ms

Algorithm

intervals

Results

190.0ms	8000×	body	80	valid
2.0ms	100×	body	80	invalid

Details

analyze100.0ms

sample13.0ms

simplify7.0ms

prune2.0ms

localize4.0ms

rewrite12.0ms

series11.0ms

simplify36.0ms

prune55.0ms

localize5.0ms

rewrite12.0ms

series13.0ms

simplify34.0ms

prune45.0ms

localize10.0ms

rewrite22.0ms

series105.0ms

simplify105.0ms

prune140.0ms

localize6.0ms

rewrite12.0ms

series11.0ms

simplify152.0ms

prune28.0ms

regimes197.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze97.0ms

sample320.0ms

Profiling