Details

analyze244.0ms

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

sample24.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	258×	pre	80	true
0.0ms	2×	body	80	invalid

simplify600.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4718	11
1	4718	11

prune12.0ms

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify53.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	6140	922

prune140.0ms

Filtered

67 candidates to 94 candidates (-40.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	86	8	94
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	87	9	96

Merged error: 0.0b

Counts

96 → 9

localize8.0ms

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)))
23.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
9.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 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))))

simplify48.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5176	1566

prune173.0ms

Filtered

92 candidates to 148 candidates (-60.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	147	10	157

Merged error: 0.0b

Counts

157 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 (- (* (/ m v) m) m)) (/ (pow m 3) v))
0.0b	(- (* (/ m v) m) m)
0.2b	(* (/ m v) m)
9.0b	(/ (pow m 3) v)

rewrite35.0ms

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:

15.0ms	(- (* 1.0 (- (* (/ m v) m) m)) (/ (pow m 3) v))
5.0ms	(- (* (/ m v) m) m)
6.0ms	(* (/ m v) m)
5.0ms	(/ (pow m 3) v)

series18.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify33.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4995	1302
1	4995	1302

prune164.0ms

Filtered

89 candidates to 136 candidates (-52.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	132	4	136
Fresh	4	3	7
Picked	1	0	1
Done	1	1	2
Total	138	8	146

Merged error: 0b

Counts

146 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 (- (* (/ m v) m) m)) (* (* m m) (/ m v)))
0.0b	(- (* (/ m v) m) m)
0.2b	(* (/ m v) m)
2.0b	(* (* m m) (/ m v))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`add-exp-log` `add-cbrt-cube`
20×	`*-un-lft-identity` `times-frac`
19×	`add-cube-cbrt`
16×	`associate-r`
14×	`associate-l`
11×	`pow1`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
4×	`sub-neg` `pow-prod-down` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
2×	`diff-log` `associate--l+` `*-commutative` `frac-sub` `div-inv`
1×	`distribute-rgt-in` `distribute-rgt-out--` `distribute-lft-in` `associate-*l/`

Counts

4 → 94

Calls

4 calls:

10.0ms	(- (* 1.0 (- (* (/ m v) m) m)) (* (* m m) (/ m v)))
5.0ms	(- (* (/ m v) m) m)
6.0ms	(* (/ m v) m)
8.0ms	(* (* m m) (/ m v))

series18.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify56.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4967	989
1	4967	989

prune103.0ms

Filtered

76 candidates to 106 candidates (-39.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	106	8	114

Merged error: 0b

Counts

114 → 8

regimes173.0ms

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	50	17
1	50	17

end0.0ms

sample574.0ms

Algorithm

intervals

Results

265.0ms	8000×	body	80	valid
159.0ms	8058×	pre	80	true
2.0ms	58×	body	80	invalid

Details

analyze244.0ms

sample24.0ms

simplify600.0ms

prune12.0ms

localize9.0ms

rewrite37.0ms

series31.0ms

simplify53.0ms

prune140.0ms

localize8.0ms

rewrite48.0ms

series29.0ms

simplify48.0ms

prune173.0ms

localize10.0ms

rewrite35.0ms

series18.0ms

simplify33.0ms

prune164.0ms

localize11.0ms

rewrite32.0ms

series18.0ms

simplify56.0ms

prune103.0ms

regimes173.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample574.0ms

Profiling