Details

sample284.0ms

Algorithm

intervals

Results

13.0ms	420×	body	80	valid
9.0ms	420×	pre	80	true

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5

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: 0.2b

Counts

2 → 1

localize10.0ms

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)

rewrite52.0ms

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` `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 → 85

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)

series152.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
49.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465

prune150.0ms

Filtered

97 candidates to 63 candidates (64.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

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×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 138

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
6.0ms	(/ v (* m (- 1.0 m)))
19.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
9.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series181.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
40.0ms	(/ v (* m (- 1.0 m)))
51.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
44.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify68.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	522	956
1	2623	799
2	5001	785

prune177.0ms

Filtered

150 candidates to 85 candidates (56.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	150	7	157

Merged error: 0.0b

Counts

157 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.2b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ m (sqrt v))
0.5b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 200

Calls

4 calls:

14.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
7.0ms	(/ (- 1.0 m) (sqrt v))
4.0ms	(/ m (sqrt v))
24.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
41.0ms	(/ (- 1.0 m) (sqrt v))
47.0ms	(/ m (sqrt v))
46.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify90.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	787	1698
1	3652	1559
2	5001	1495

prune348.0ms

Filtered

212 candidates to 137 candidates (64.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	212	7	219

Merged error: 0.0b

Counts

219 → 7

localize9.0ms

Local error

Found 4 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) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
15.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series205.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
75.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
47.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify62.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	436	720
1	2105	615
2	5002	605

prune157.0ms

Filtered

110 candidates to 68 candidates (61.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	109	8	117

Merged error: 0b

Counts

117 → 8

regimes58.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample872.0ms

Algorithm

intervals

Results

390.0ms	13610×	body	80	valid
257.0ms	13610×	pre	80	true

Details

sample284.0ms

simplify121.0ms

prune4.0ms

localize10.0ms

rewrite52.0ms

series152.0ms

simplify50.0ms

prune150.0ms

localize8.0ms

rewrite48.0ms

series181.0ms

simplify68.0ms

prune177.0ms

localize9.0ms

rewrite60.0ms

series180.0ms

simplify90.0ms

prune348.0ms

localize9.0ms

rewrite46.0ms

series205.0ms

simplify62.0ms

prune157.0ms

regimes58.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample872.0ms

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