Details

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 4.11377%

Guaranteed chance to sample good point: 58.790579%

Results

7.0ms	192×	body	80	valid
4.0ms	23×	body	1280	valid
3.0ms	22×	body	640	valid
1.0ms	8×	body	640	invalid
1.0ms	6×	body	2560	valid
1.0ms	26×	body	80	invalid
1.0ms	9×	body	320	valid
1.0ms	7×	body	320	invalid
1.0ms	10×	body	160	invalid
0.0ms	3×	body	1280	invalid
0.0ms	4×	body	160	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	22	6
1	68	4
2	201	3
3	1120	2
4	5001	2

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

6.0ms

(* y (- x z))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* y (- x z))

simplify48.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	112	98
1	462	88
2	1883	88
3	5002	88

prune28.0ms

Filtered

17 candidates to 29 candidates (-70.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	29	2	31

Merged error: 0b

Counts

31 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

4.0ms

(+ (* y x) (* y (neg z)))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(+ (* y x) (* y (neg z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	106	90
1	438	69
2	1930	66
3	5002	65

prune18.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0b

Counts

19 → 2

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x z))
0.3b	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
2.2b	(sqrt (* y (- x z)))
2.2b	(sqrt (* y (- x z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

6.0ms	(* y (- x z))
12.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
4.0ms	(sqrt (* y (- x z)))
4.0ms	(sqrt (* y (- x z)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* y (- x z))
27.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
14.0ms	(sqrt (* y (- x z)))
17.0ms	(sqrt (* y (- x z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	255	518
1	1176	477
2	5001	463

prune103.0ms

Filtered

71 candidates to 121 candidates (-70.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	2	123

Merged error: 0b

Counts

123 → 2

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	16	4
2	17	4
3	17	4

end0.0ms

sample2.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 4.11377%

Guaranteed chance to sample good point: 58.790579%

Results

214.0ms	5698×	body	80	valid
141.0ms	847×	body	1280	valid
80.0ms	642×	body	640	valid
39.0ms	204×	body	2560	valid
36.0ms	381×	body	320	valid
31.0ms	856×	body	80	invalid
24.0ms	186×	body	640	invalid
21.0ms	330×	body	160	invalid
18.0ms	228×	body	160	valid
16.0ms	170×	body	320	invalid
11.0ms	68×	body	1280	invalid

Details

sample1.9s

simplify49.0ms

prune12.0ms

localize4.0ms

rewrite7.0ms

series7.0ms

simplify48.0ms

prune28.0ms

localize6.0ms

rewrite4.0ms

series8.0ms

simplify63.0ms

prune18.0ms

localize6.0ms

rewrite30.0ms

series65.0ms

simplify48.0ms

prune103.0ms

regimes113.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.9s

Profiling