Details

analyze245.0ms

Algorithm: search

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	258×	pre	80	true
0.0ms	2×	body	80	invalid

simplify489.0ms

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

prune5.0ms

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))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite38.0ms

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)

series42.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

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

prune135.0ms

Filtered

63 candidates to 97 candidates (-54.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v (- 1.0 m))) 1.0)
0.0b	(/ v (- 1.0 m))
0.1b	(/ m (/ v (- 1.0 m)))
0.2b	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 179

Calls

4 calls:

24.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
8.0ms	(/ m (/ v (- 1.0 m)))
30.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series29.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify82.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	631	1428
1	3014	1368
2	5001	1367

prune245.0ms

Filtered

142 candidates to 191 candidates (-34.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	191	8	199

Merged error: 0.0b

Counts

199 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.2b	(/ m (sqrt v))
0.3b	(/ (- 1.0 m) (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite59.0ms

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:

13.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
4.0ms	(/ m (sqrt v))
6.0ms	(/ (- 1.0 m) (sqrt v))
26.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
7.0ms	(/ m (sqrt v))
6.0ms	(/ (- 1.0 m) (sqrt v))
10.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify89.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	757	1686
1	3574	1572
2	5001	1508

prune219.0ms

Filtered

137 candidates to 212 candidates (-54.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	210	2	212
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	211	9	220

Merged error: 0b

Counts

220 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.1b	(/ m (/ v (- 1.0 m)))
0.2b	(* (- (/ m (/ v (- 1.0 m))) 1.0) (sqrt m))
0.4b	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (sqrt m)) (sqrt m))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
122×	`add-sqr-sqrt`
111×	`*-un-lft-identity`
77×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
18×	`add-exp-log` `add-cbrt-cube`
17×	`distribute-lft-out--`
12×	`associate-r`
11×	`pow1` `associate-/r/`
8×	`associate-l`
7×	`flip3--` `sqrt-prod` `flip--`
6×	`associate-l/` `div-inv` `associate-/l`
4×	`cbrt-undiv` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`

Counts

4 → 190

Calls

4 calls:

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

series37.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ v (- 1.0 m))
6.0ms	(/ m (/ v (- 1.0 m)))
13.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (sqrt m))
11.0ms	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (sqrt m)) (sqrt m))

simplify108.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	804	1605
1	4066	1499
2	5001	1499

prune240.0ms

Filtered

148 candidates to 202 candidates (-36.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	203	8	211

Merged error: 0b

Counts

211 → 8

regimes167.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

end0.0ms

analyze48.0ms

Algorithm: search

sample535.0ms

Algorithm

intervals

Results

248.0ms	8000×	body	80	valid
153.0ms	8059×	pre	80	true
2.0ms	59×	body	80	invalid

Details

analyze245.0ms

sample23.0ms

simplify489.0ms

prune5.0ms

localize10.0ms

rewrite38.0ms

series42.0ms

simplify51.0ms

prune135.0ms

localize8.0ms

rewrite76.0ms

series29.0ms

simplify82.0ms

prune245.0ms

localize10.0ms

rewrite59.0ms

series34.0ms

simplify89.0ms

prune219.0ms

localize9.0ms

rewrite83.0ms

series37.0ms

simplify108.0ms

prune240.0ms

regimes167.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze48.0ms

sample535.0ms

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