Details

sample3.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.390137%

Guaranteed chance to sample good point: 80.10659%

Results

6.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	3

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: 12.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.3b	(/ (* x (- y z)) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (- y z))
6.0ms	(/ (* x (- y z)) y)

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (- y z))
9.0ms	(/ (* x (- y z)) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	219	218
1	1044	189
2	5001	189

prune68.0ms

Filtered

35 candidates to 55 candidates (-57.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.0b	(/ x (/ y (- y z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

5.0ms	(/ y (- y z))
8.0ms	(/ x (/ y (- y z)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ y (- y z))
9.0ms	(/ x (/ y (- y z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	472	1043
1	2220	1007
2	5001	1004

prune126.0ms

Filtered

108 candidates to 145 candidates (-34.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	5	1	6
Picked	0	1	1
Done	0	0	0
Total	146	6	152

Merged error: 0b

Counts

152 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ (* x z) y))
5.6b	(/ (* x z) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

4.0ms	(- x (/ (* x z) y))
4.0ms	(/ (* x z) y)

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- x (/ (* x z) y))
5.0ms	(/ (* x z) y)

simplify81.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	174
1	692	158
2	3437	158
3	5001	158

prune46.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	42	5	47

Merged error: 0b

Counts

47 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ x (/ y z)))
7.7b	(/ x (/ y z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*` `difference-of-squares`
2×	`pow1`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r/` `flip--` `distribute-lft-out--`

Counts

2 → 86

Calls

2 calls:

13.0ms	(- x (/ x (/ y z)))
6.0ms	(/ x (/ y z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(- x (/ x (/ y z)))
5.0ms	(/ x (/ y z))

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	385	566
1	1540	546
2	5001	545

prune76.0ms

Filtered

74 candidates to 92 candidates (-24.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	92	5	97

Merged error: 0b

Counts

97 → 5

regimes172.0ms

Accuracy

26.2% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 3.1b

bsearch59.0ms

Steps

Iters	Range		Point
7	-1.5546621070484435e-246	-3.4662774074559912e-248	-3.733255134592694e-247
6	-879.0098480690795	-80.64400264069371	-495.01321707609304

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	6
1	19	6

end0.0ms

sample4.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.390137%

Guaranteed chance to sample good point: 80.10659%

Results

206.0ms	8000×	body	80	valid
17.0ms	418×	body	80	invalid

Details

sample3.9s

simplify65.0ms

prune3.0ms

localize5.0ms

rewrite14.0ms

series16.0ms

simplify36.0ms

prune68.0ms

localize5.0ms

rewrite20.0ms

series15.0ms

simplify57.0ms

prune126.0ms

localize5.0ms

rewrite9.0ms

series11.0ms

simplify81.0ms

prune46.0ms

localize6.0ms

rewrite22.0ms

series12.0ms

simplify47.0ms

prune76.0ms

regimes172.0ms

bsearch59.0ms

simplify3.0ms

end0.0ms

sample4.4s

Profiling