Details

analyze819.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

sample29.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
4.0ms	86×	body	80	invalid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5189	11

prune15.0ms

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: 0.2b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(/ y (* z 3.0))
0.5b	(* (* z 3.0) y)
4.4b	(/ t (* (* z 3.0) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+l+` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 80

Calls

4 calls:

10.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
4.0ms	(/ y (* z 3.0))
4.0ms	(* (* z 3.0) y)
6.0ms	(/ t (* (* z 3.0) y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
3.0ms	(/ y (* z 3.0))
3.0ms	(* (* z 3.0) y)
6.0ms	(/ t (* (* z 3.0) y))

simplify37.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5063	950

prune131.0ms

Filtered

62 candidates to 92 candidates (-48.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	88	6	94

Merged error: 0.0b

Counts

94 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b	(/ t (* z 3.0))
0.2b	(/ y (* z 3.0))
6.8b	(/ (/ t (* z 3.0)) y)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
29×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
7×	`div-inv`
5×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`frac-add` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+l+` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 108

Calls

4 calls:

15.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
4.0ms	(/ t (* z 3.0))
6.0ms	(/ y (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series29.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms	(/ t (* z 3.0))
3.0ms	(/ y (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4983	1306
1	4983	1306

prune144.0ms

Filtered

89 candidates to 120 candidates (-34.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	119	7	126

Merged error: 0b

Counts

126 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
0.2b	(/ t (* z 3.0))
0.2b	(/ y (* z 3.0))
6.9b	(* (/ t (* z 3.0)) (/ 1 y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
35×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
20×	`times-frac`
18×	`*-un-lft-identity` `div-exp` `prod-exp`
17×	`add-cube-cbrt`
13×	`associate-r`
11×	`cbrt-undiv`
10×	`cbrt-unprod`
9×	`add-log-exp`
8×	`frac-add`
7×	`associate-l`
6×	`pow1` `associate-/l*`
4×	`flip3--` `flip--` `div-inv`
3×	`frac-times` `rec-exp` `1-exp` `associate-r/` `associate-l/` `un-div-inv` `unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r*` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+l+` `flip3-+` `diff-log` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 118

Calls

4 calls:

11.0ms	(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
4.0ms	(/ t (* z 3.0))
4.0ms	(/ y (* z 3.0))
10.0ms	(* (/ t (* z 3.0)) (/ 1 y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
3.0ms	(/ t (* z 3.0))
3.0ms	(/ y (* z 3.0))
6.0ms	(* (/ t (* z 3.0)) (/ 1 y))

simplify31.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5414	1487

prune142.0ms

Filtered

84 candidates to 130 candidates (-54.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	130	7	137

Merged error: 0b

Counts

137 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (* (/ y z) 0.3333333333333333)) (/ (/ t (* z 3.0)) y))
0.2b	(/ t (* z 3.0))
0.2b	(* (/ y z) 0.3333333333333333)
6.8b	(/ (/ t (* z 3.0)) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
35×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
30×	`add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l`
10×	`associate-/l*`
9×	`add-log-exp`
8×	`cbrt-undiv` `div-exp`
7×	`div-inv`
6×	`pow1`
4×	`prod-exp` `associate-/r*` `cbrt-unprod`
3×	`associate-r`
2×	`frac-2neg` `frac-add` `clear-num` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+l+` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `associate-l/` `-commutative` `flip--` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

4 → 118

Calls

4 calls:

11.0ms	(+ (- x (* (/ y z) 0.3333333333333333)) (/ (/ t (* z 3.0)) y))
4.0ms	(/ t (* z 3.0))
6.0ms	(* (/ y z) 0.3333333333333333)
6.0ms	(/ (/ t (* z 3.0)) y)

series31.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (* (/ y z) 0.3333333333333333)) (/ (/ t (* z 3.0)) y))
5.0ms	(/ t (* z 3.0))
3.0ms	(* (/ y z) 0.3333333333333333)
6.0ms	(/ (/ t (* z 3.0)) y)

simplify29.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5087	1363

prune129.0ms

Filtered

97 candidates to 130 candidates (-34.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	131	6	137

Merged error: 0b

Counts

137 → 6

regimes385.0ms

Accuracy

64% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	61
1	71	61

end0.0ms

sample804.0ms

Algorithm

intervals

Results

374.0ms	8000×	body	80	valid
140.0ms	2986×	body	80	invalid

Details

analyze819.0ms

sample29.0ms

simplify68.0ms

prune15.0ms

localize9.0ms

rewrite27.0ms

series29.0ms

simplify37.0ms

prune131.0ms

localize9.0ms

rewrite34.0ms

series29.0ms

simplify40.0ms

prune144.0ms

localize10.0ms

rewrite32.0ms

series29.0ms

simplify31.0ms

prune142.0ms

localize10.0ms

rewrite30.0ms

series31.0ms

simplify29.0ms

prune129.0ms

regimes385.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample804.0ms

Profiling