Details

sample3.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 54.840088%

Results

12.0ms

256×

body

valid

simplify34.0ms

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: 12.1b

Counts

2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.3b	(- (* (* z 2.0) z) (* y t))
21.3b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite22.0ms

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))
9.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series57.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
8.0ms	(- (* (* z 2.0) z) (* y t))
25.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

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

prune120.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	9	61

Merged error: 5.2b

Counts

61 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.3b	(- (* (* z 2.0) z) (* y t))
6.5b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
21.3b	(/ (- (* (* 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)))
5.0ms	(- (* (* 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)

series67.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms	(- (* (* z 2.0) z) (* y t))
23.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
11.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

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

prune162.0ms

Filtered

84 candidates to 114 candidates (-35.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Merged error: 1.6b

Counts

123 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.1b	(/ (* t y) z)
6.5b	(/ (* y 2.0) (- (* z 2.0) (/ (* 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))))
4.0ms	(/ (* t y) z)
7.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
5.0ms	(/ (* t y) z)
20.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (9.0ms)

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

prune90.0ms

Filtered

47 candidates to 67 candidates (-42.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	68	6	74

Merged error: 0.9b

Counts

74 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
3.6b	(/ t (/ z y))
6.5b	(/ (* 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))
12.0ms	(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))

series46.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
5.0ms	(/ t (/ z y))
20.0ms	(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (43.0ms)

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

prune117.0ms

Filtered

91 candidates to 116 candidates (-27.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	115	7	122

Merged error: 0.9b

Counts

122 → 7

regimes319.0ms

Accuracy

3.9% (2.2b remaining)

Error of 2.7b against oracle of 0.5b and baseline of 2.8b

bsearch36.0ms

Steps

Iters	Range		Point
6	1.652301874658062e-191	1.4000616881949657e-190	2.224199032131423e-191
6	-4.198160464377483e-177	-3.7272700837394544e-178	-3.360918112796946e-177

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	15
1	32	15

end0.0ms

sample3.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 54.840088%

Results

403.0ms

8000×

body

valid

Details

sample3.0s

simplify34.0ms

prune4.0ms

localize15.0ms

rewrite22.0ms

series57.0ms

simplify50.0ms

prune120.0ms

localize11.0ms

rewrite32.0ms

series67.0ms

simplify62.0ms

prune162.0ms

localize9.0ms

rewrite20.0ms

series45.0ms

simplify36.0ms

prune90.0ms

localize12.0ms

rewrite35.0ms

series46.0ms

simplify53.0ms

prune117.0ms

regimes319.0ms

bsearch36.0ms

simplify1.0ms

end0.0ms

sample3.8s

Profiling