Details

sample544.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 89.941406%

Results

12.0ms

256×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune4.0ms

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: 10.8b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.9b	(- (* (* z 2.0) z) (* y t))
19.9b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

8.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
4.0ms	(- (* (* z 2.0) z) (* y t))
12.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series59.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
8.0ms	(- (* (* z 2.0) z) (* y t))
26.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	318	564
1	1519	493
2	5002	493

prune104.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	7	61

Merged error: 4.0b

Counts

61 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.9b	(- (* (* z 2.0) z) (* y t))
5.0b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.2b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

10.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
4.0ms	(- (* (* z 2.0) z) (* y t))
8.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series69.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
8.0ms	(- (* (* z 2.0) z) (* y t))
26.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
10.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5003	988

prune151.0ms

Filtered

84 candidates to 114 candidates (-35.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	115	6	121

Merged error: 2.2b

Counts

121 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
5.0b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.3b	(/ (* t y) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

7.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
7.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
4.0ms	(/ (* t y) z)

series47.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
23.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms	(/ (* t y) z)

simplify37.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	312	463
1	1403	412
2	5001	412

prune85.0ms

Filtered

46 candidates to 67 candidates (-45.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 1.0b

Counts

73 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
3.2b	(/ t (/ z y))
5.0b	(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

13.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
5.0ms	(/ t (/ z y))
13.0ms	(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))

series48.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
5.0ms	(/ t (/ z y))
24.0ms	(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	528	830
1	2279	774
2	5001	773

prune114.0ms

Filtered

92 candidates to 116 candidates (-26.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	116	4	120

Merged error: 1.0b

Counts

120 → 4

regimes246.0ms

Accuracy

-41.3% (2.3b remaining)

Error of 2.9b against oracle of 0.6b and baseline of 2.2b

bsearch42.0ms

Steps

Iters	Range		Point
7	3.493783335999971e-167	6.947742300568198e-165	3.5940792936678314e-167
9	7.07011612363586e-294	1.685577285845621e-286	1.6604623612953187e-286

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	16
1	36	16

end0.0ms

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 89.941406%

Results

397.0ms

8000×

body

valid

Details

sample544.0ms

simplify35.0ms

prune4.0ms

localize11.0ms

rewrite25.0ms

series59.0ms

simplify47.0ms

prune104.0ms

localize11.0ms

rewrite32.0ms

series69.0ms

simplify64.0ms

prune151.0ms

localize10.0ms

rewrite20.0ms

series47.0ms

simplify37.0ms

prune85.0ms

localize10.0ms

rewrite35.0ms

series48.0ms

simplify55.0ms

prune114.0ms

regimes246.0ms

bsearch42.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling