Details

analyze246.0ms

Algorithm

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	258×	pre	80	true
0.0ms	2×	body	80	invalid

simplify489.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4963	13
1	4963	13

prune11.0ms

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: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series40.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* m (- 1.0 m))
5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify29.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5334	1273

prune151.0ms

Filtered

76 candidates to 104 candidates (-36.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	99	7	106

Merged error: 0b

Counts

106 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ (- 1.0 m) v)) 1.0)
0.0b	(/ (- 1.0 m) v)
0.1b	(* (- 1.0 m) (- (* m (/ (- 1.0 m) v)) 1.0))
0.3b	(* m (/ (- 1.0 m) v))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

7.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
5.0ms	(/ (- 1.0 m) v)
13.0ms	(* (- 1.0 m) (- (* m (/ (- 1.0 m) v)) 1.0))
9.0ms	(* m (/ (- 1.0 m) v))

series22.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
4.0ms	(/ (- 1.0 m) v)
7.0ms	(* (- 1.0 m) (- (* m (/ (- 1.0 m) v)) 1.0))
6.0ms	(* m (/ (- 1.0 m) v))

simplify63.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4978	1530
1	4978	1530

prune157.0ms

Filtered

91 candidates to 129 candidates (-41.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	130	6	136

Merged error: 0b

Counts

136 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (- (/ 1.0 v) (/ m v))) 1.0)
0.0b	(- (/ 1.0 v) (/ m v))
0.1b	(* (- 1.0 m) (- (* m (- (/ 1.0 v) (/ m v))) 1.0))
0.3b	(* m (- (/ 1.0 v) (/ m v)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
20×	`times-frac`
15×	`associate-r`
12×	`add-cube-cbrt` `sub-neg`
9×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
8×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-*r/` `associate--l+`
4×	`frac-times` `div-inv`
2×	`distribute-rgt-out--` `diff-log` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `frac-sub` `cbrt-unprod` `sub-div` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

17.0ms	(- (* m (- (/ 1.0 v) (/ m v))) 1.0)
12.0ms	(- (/ 1.0 v) (/ m v))
21.0ms	(* (- 1.0 m) (- (* m (- (/ 1.0 v) (/ m v))) 1.0))
16.0ms	(* m (- (/ 1.0 v) (/ m v)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* m (- (/ 1.0 v) (/ m v))) 1.0)
4.0ms	(- (/ 1.0 v) (/ m v))
7.0ms	(* (- 1.0 m) (- (* m (- (/ 1.0 v) (/ m v))) 1.0))
6.0ms	(* m (- (/ 1.0 v) (/ m v)))

simplify41.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5443	1452

prune142.0ms

Filtered

88 candidates to 114 candidates (-29.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	114	6	120

Merged error: 0b

Counts

120 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ m v) (- 1.0 m)) 1.0)
0.1b	(* (- 1.0 m) (- (* (/ m v) (- 1.0 m)) 1.0))
0.1b	(* (/ m v) (- 1.0 m))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

8.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
14.0ms	(* (- 1.0 m) (- (* (/ m v) (- 1.0 m)) 1.0))
9.0ms	(* (/ m v) (- 1.0 m))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
7.0ms	(* (- 1.0 m) (- (* (/ m v) (- 1.0 m)) 1.0))
6.0ms	(* (/ m v) (- 1.0 m))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4999	1303
1	4999	1303

prune103.0ms

Filtered

69 candidates to 96 candidates (-39.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	96	6	102

Merged error: 0b

Counts

102 → 6

regimes136.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample530.0ms

Algorithm

intervals

Results

253.0ms	8000×	body	80	valid
146.0ms	8058×	pre	80	true
2.0ms	58×	body	80	invalid

Details

analyze246.0ms

sample23.0ms

simplify489.0ms

prune11.0ms

localize9.0ms

rewrite41.0ms

series40.0ms

simplify29.0ms

prune151.0ms

localize7.0ms

rewrite38.0ms

series22.0ms

simplify63.0ms

prune157.0ms

localize9.0ms

rewrite69.0ms

series23.0ms

simplify41.0ms

prune142.0ms

localize6.0ms

rewrite33.0ms

series18.0ms

simplify56.0ms

prune103.0ms

regimes136.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample530.0ms

Profiling