Details

sample287.0ms

Algorithm

intervals

Results

14.0ms	420×	body	80	valid
9.0ms	420×	pre	80	true

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	6

prune4.0ms

Filtered

1 candidates to 0 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 → 1

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 169

Calls

4 calls:

11.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
23.0ms	(* m (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)
18.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series155.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
44.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify99.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	583	1692
1	2840	1209
2	5002	1196

prune222.0ms

Filtered

181 candidates to 93 candidates (51.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	176	5	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	177	5	182

Merged error: 0.0b

Counts

182 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`associate-r` `associate-*l/`
7×	`flip3--` `flip--`
6×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `frac-add` `log1p-expm1-u` `associate-/l/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

8.0ms	(/ (* m (- 1.0 m)) v)
8.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series151.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (* m (- 1.0 m)) v)
35.0ms	(/ (* m (- 1.0 m)) v)
41.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify73.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	529	1005
1	2584	882
2	5001	862

prune207.0ms

Filtered

115 candidates to 85 candidates (73.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	114	6	120

Merged error: 0b

Counts

120 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
27×	`add-cube-cbrt`
18×	`prod-diff`
15×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `flip3--` `associate-*r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 96

Calls

3 calls:

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

series108.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (- 1.0 m) v)
40.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
34.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	378	1039
1	1530	824
2	5003	822

prune164.0ms

Filtered

105 candidates to 67 candidates (63.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	106	5	111

Merged error: 0b

Counts

111 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

253×	`times-frac`
224×	`add-sqr-sqrt`
218×	`*-un-lft-identity`
208×	`add-cube-cbrt`
187×	`prod-diff`
29×	`div-inv`
13×	`fma-neg`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`distribute-rgt-out--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `fma-udef` `sub-div` `unswap-sqr`

Counts

3 → 263

Calls

3 calls:

20.0ms	(- (/ 1.0 v) (/ m v))
7.0ms	(* (fma (/ m 1) (- (/ 1.0 v) (/ m v)) (- 1.0)) (- 1.0 m))
1.0ms	(fma (/ m 1) (- (/ 1.0 v) (/ m v)) (- 1.0))

series97.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- (/ 1.0 v) (/ m v))
43.0ms	(* (fma (/ m 1) (- (/ 1.0 v) (/ m v)) (- 1.0)) (- 1.0 m))
26.0ms	(fma (/ m 1) (- (/ 1.0 v) (/ m v)) (- 1.0))

simplify122.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	907	5312
1	2932	3523
2	5001	3502

prune279.0ms

Filtered

272 candidates to 96 candidates (35.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	272	0	272
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	272	5	277

Merged error: 0b

Counts

277 → 5

regimes46.0ms

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	17	12
1	21	12
2	22	12
3	22	12

end0.0ms

sample924.0ms

Algorithm

intervals

Results

427.0ms	13610×	body	80	valid
252.0ms	13610×	pre	80	true

Details

sample287.0ms

simplify90.0ms

prune4.0ms

localize9.0ms

rewrite69.0ms

series155.0ms

simplify99.0ms

prune222.0ms

localize11.0ms

rewrite50.0ms

series151.0ms

simplify73.0ms

prune207.0ms

localize8.0ms

rewrite17.0ms

series108.0ms

simplify55.0ms

prune164.0ms

localize11.0ms

rewrite45.0ms

series97.0ms

simplify122.0ms

prune279.0ms

regimes46.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample924.0ms

Profiling