Details

sample2.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 10.852051%

Guaranteed chance to sample good point: 89.209914%

Results

7.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	22	4
3	22	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x 2.0) (* y x))
0.0b	(+ (+ (/ x 2.0) (* y x)) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

5.0ms	(+ (/ x 2.0) (* y x))
8.0ms	(+ (+ (/ x 2.0) (* y x)) z)

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (/ x 2.0) (* y x))
6.0ms	(+ (+ (/ x 2.0) (* y x)) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	163	180
1	542	168
2	1917	162
3	5001	160

prune46.0ms

Filtered

22 candidates to 31 candidates (-40.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	4	32

Merged error: 0b

Counts

32 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y 0.5)) z)
0.0b	(* x (+ y 0.5))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

6.0ms	(+ (* x (+ y 0.5)) z)
6.0ms	(* x (+ y 0.5))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x (+ y 0.5)) z)
5.0ms	(* x (+ y 0.5))

simplify116.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	195	166
1	755	151
2	3673	149
3	5002	149

prune45.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ y 0.5))
0.3b	(cbrt (+ y 0.5))
0.4b	(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
0.8b	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
36×	`cbrt-prod` `*-un-lft-identity`
35×	`flip3-+` `flip-+`
34×	`associate-*r/`
32×	`frac-times`
24×	`add-sqr-sqrt`
20×	`pow1`
16×	`add-cube-cbrt` `associate-*l/`
15×	`add-exp-log`
14×	`associate-r`
9×	`swap-sqr` `distribute-lft-out`
8×	`pow1/3` `associate-l` `pow-prod-down` `add-cbrt-cube`
7×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 132

Calls

4 calls:

3.0ms	(cbrt (+ y 0.5))
3.0ms	(cbrt (+ y 0.5))
17.0ms	(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
9.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (+ y 0.5))
6.0ms	(cbrt (+ y 0.5))
5.0ms	(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
7.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

simplify73.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	617	1552
1	2327	1417
2	5002	1308

prune224.0ms

Filtered

83 candidates to 144 candidates (-73.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Merged error: 0b

Counts

147 → 3

regimes226.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 10.852051%

Guaranteed chance to sample good point: 89.209914%

Results

233.0ms	7996×	body	80	valid
4.0ms	140×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample2.7s

simplify8.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series12.0ms

simplify53.0ms

prune46.0ms

localize5.0ms

rewrite12.0ms

series11.0ms

simplify116.0ms

prune45.0ms

localize9.0ms

rewrite40.0ms

series24.0ms

simplify73.0ms

prune224.0ms

regimes226.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling