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

sample38.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify508.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

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)
0.1b	(/ (* 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)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series43.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* m (- 1.0 m))
5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(/ (* m (- 1.0 m)) v)
27.0ms	(* (- (/ (* 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

prune161.0ms

Filtered

76 candidates to 104 candidates (-36.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	1	0	1
Picked	1	0	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	(/ v (- 1.0 m))
0.0b	(- (/ m (/ v (- 1.0 m))) 1.0)
0.1b	(/ m (/ v (- 1.0 m)))
0.1b	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
128×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
74×	`add-cube-cbrt`
26×	`associate-/r*`
23×	`difference-of-squares`
19×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
11×	`associate-/r/`
7×	`associate-l`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`sub-neg`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 188

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
26.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
9.0ms	(/ m (/ v (- 1.0 m)))
34.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series27.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify59.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5173	2843

prune276.0ms

Filtered

155 candidates to 200 candidates (-29.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	200	7	207

Merged error: 0b

Counts

207 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 m))
0.0b	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
0.1b	(/ (/ m v) (/ 1 (- 1.0 m)))
0.1b	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

722×	`times-frac`
442×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
296×	`add-cube-cbrt`
61×	`difference-of-squares`
49×	`distribute-lft-out--`
38×	`div-inv`
32×	`add-exp-log`
31×	`associate-/r/`
26×	`associate-/r*`
22×	`flip3--` `flip--`
20×	`add-cbrt-cube`
18×	`div-exp`
16×	`associate-/l*`
11×	`associate-l`
9×	`cbrt-undiv`
7×	`pow1`
6×	`add-log-exp`
5×	`associate-r`
4×	`frac-times`
3×	`sub-neg` `rec-exp` `1-exp`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 429

Calls

4 calls:

5.0ms	(/ 1 (- 1.0 m))
85.0ms	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
18.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))
88.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))

series25.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (- 1.0 m))
5.0ms	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
5.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))
12.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))

simplify72.0ms

Algorithm

egg-herbie

Counts

441 → 441

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5074	7759

prune573.0ms

Filtered

256 candidates to 441 candidates (-72.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	441	0	441
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	441	7	448

Merged error: 0b

Counts

448 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
0.0b	(* m (- 1.0 m))
0.1b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
0.3b	(* (* m (- 1.0 m)) (/ 1 v))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

10.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
6.0ms	(* m (- 1.0 m))
17.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
10.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series22.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
4.0ms	(* m (- 1.0 m))
7.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
6.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify56.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	6074	1391

prune126.0ms

Filtered

79 candidates to 119 candidates (-50.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	119	7	126

Merged error: 0b

Counts

126 → 7

regimes113.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	29	15
1	29	15

end0.0ms

sample956.0ms

Algorithm

intervals

Results

239.0ms

8000×

body

valid

Details

analyze244.0ms

sample38.0ms

simplify508.0ms

prune11.0ms

localize9.0ms

rewrite41.0ms

series43.0ms

simplify29.0ms

prune161.0ms

localize7.0ms

rewrite83.0ms

series27.0ms

simplify59.0ms

prune276.0ms

localize8.0ms

rewrite225.0ms

series25.0ms

simplify72.0ms

prune573.0ms

localize8.0ms

rewrite47.0ms

series22.0ms

simplify56.0ms

prune126.0ms

regimes113.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample956.0ms

Profiling