Details

analyze260.0ms

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	256×	pre	80	true

simplify472.0ms

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: 0.0b

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))
9.0ms	(- (/ (* 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))

series31.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5334	1273

prune151.0ms

Filtered

76 candidates to 104 candidates (-36.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	101	5	106

Merged error: 0.0b

Counts

106 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

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:

27.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
30.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series24.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify60.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5173	2843

prune261.0ms

Filtered

155 candidates to 200 candidates (-29.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	199	6	205

Merged error: 0.0b

Counts

205 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite228.0ms

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:

84.0ms	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
5.0ms	(/ 1 (- 1.0 m))
87.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
18.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
2.0ms	(/ 1 (- 1.0 m))
7.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
6.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))

simplify76.0ms

Algorithm

egg-herbie

Counts

441 → 441

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5074	7759

prune552.0ms

Filtered

256 candidates to 441 candidates (-72.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	441	0	441
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	441	6	447

Merged error: 0.0b

Counts

447 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* (/ (- 1.0 m) v) m) 1.0) (- (* 1.0 1.0) (* m m)))
0.3b	(* (/ (- 1.0 m) v) m)
3.2b	(/ (* (- (* (/ (- 1.0 m) v) m) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

6.0ms	(/ (- 1.0 m) v)
13.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) (- (* 1.0 1.0) (* m m)))
8.0ms	(* (/ (- 1.0 m) v) m)
16.0ms	(/ (* (- (* (/ (- 1.0 m) v) m) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (- 1.0 m) v)
8.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) (- (* 1.0 1.0) (* m m)))
8.0ms	(* (/ (- 1.0 m) v) m)
11.0ms	(/ (* (- (* (/ (- 1.0 m) v) m) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

simplify54.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4963	2154
1	4963	2154

prune207.0ms

Filtered

114 candidates to 150 candidates (-31.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	150	6	156

Merged error: 0.0b

Counts

156 → 6

regimes95.0ms

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	27	13
1	27	13

end0.0ms

sample529.0ms

Algorithm

intervals

Results

248.0ms	8000×	body	80	valid
149.0ms	8040×	pre	80	true
1.0ms	40×	body	80	invalid

Details

analyze260.0ms

sample23.0ms

simplify472.0ms

prune11.0ms

localize9.0ms

rewrite41.0ms

series31.0ms

simplify35.0ms

prune151.0ms

localize7.0ms

rewrite80.0ms

series24.0ms

simplify60.0ms

prune261.0ms

localize8.0ms

rewrite228.0ms

series20.0ms

simplify76.0ms

prune552.0ms

localize12.0ms

rewrite48.0ms

series31.0ms

simplify54.0ms

prune207.0ms

regimes95.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample529.0ms

Profiling