Details

analyze248.0ms

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
6.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify541.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4718	11
1	4718	11

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series26.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5861	708

prune116.0ms

Filtered

55 candidates to 78 candidates (-41.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	8	80

Merged error: 0.0b

Counts

80 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ v (* m (- 1.0 m)))
0.2b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
6.0ms	(/ v (* m (- 1.0 m)))
21.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
9.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
7.0ms	(/ v (* m (- 1.0 m)))
10.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
8.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify49.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5176	1566

prune163.0ms

Filtered

93 candidates to 148 candidates (-59.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	6	6
Picked	1	0	1
Done	1	0	1
Total	149	7	156

Merged error: 0.0b

Counts

156 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ m v) m) m)
0.0b	(- (* 1.0 (- (* (/ m v) m) m)) (/ (pow m 3) v))
0.2b	(* (/ m v) m)
10.2b	(/ (pow m 3) v)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
42×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
37×	`add-cube-cbrt`
14×	`add-exp-log`
13×	`associate-l`
12×	`unpow-prod-down` `cube-prod` `associate-/l*`
11×	`add-cbrt-cube`
8×	`add-log-exp`
6×	`pow1`
4×	`cube-mult` `sub-neg` `unpow3` `div-exp` `sqr-pow`
3×	`flip3--` `associate-r` `associate-/r*` `flip--`
2×	`cbrt-undiv` `diff-log` `associate-*r/` `prod-exp` `associate--l+` `frac-sub` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `pow-exp` `clear-num` `-commutative`

Counts

4 → 124

Calls

4 calls:

5.0ms	(- (* (/ m v) m) m)
16.0ms	(- (* 1.0 (- (* (/ m v) m) m)) (/ (pow m 3) v))
6.0ms	(* (/ m v) m)
6.0ms	(/ (pow m 3) v)

series18.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (* (/ m v) m) m)
7.0ms	(- (* 1.0 (- (* (/ m v) m) m)) (/ (pow m 3) v))
3.0ms	(* (/ m v) m)
4.0ms	(/ (pow m 3) v)

simplify36.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4995	1302
1	4995	1302

prune150.0ms

Filtered

89 candidates to 136 candidates (-52.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	137	6	143

Merged error: 0b

Counts

143 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* m (/ m v)) (- 1.0 m)) (* m 1.0))
0.0b	(* (* m (/ m v)) (- 1.0 m))
0.2b	(* m (/ m v))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

10.0ms	(- (* (* m (/ m v)) (- 1.0 m)) (* m 1.0))
11.0ms	(* (* m (/ m v)) (- 1.0 m))
7.0ms	(* m (/ m v))

series17.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(- (* (* m (/ m v)) (- 1.0 m)) (* m 1.0))
7.0ms	(* (* m (/ m v)) (- 1.0 m))
3.0ms	(* m (/ m v))

simplify40.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4964	803
1	4964	803

prune80.0ms

Filtered

55 candidates to 83 candidates (-50.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	84	5	89

Merged error: 0b

Counts

89 → 5

regimes88.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	13
1	40	13

end0.0ms

sample544.0ms

Algorithm

intervals

Results

248.0ms	8000×	body	80	valid
160.0ms	8066×	pre	80	true
2.0ms	66×	body	80	invalid

Details

analyze248.0ms

sample23.0ms

simplify541.0ms

prune11.0ms

localize10.0ms

rewrite30.0ms

series26.0ms

simplify41.0ms

prune116.0ms

localize9.0ms

rewrite48.0ms

series32.0ms

simplify49.0ms

prune163.0ms

localize10.0ms

rewrite37.0ms

series18.0ms

simplify36.0ms

prune150.0ms

localize8.0ms

rewrite30.0ms

series17.0ms

simplify40.0ms

prune80.0ms

regimes88.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample544.0ms

Profiling