Details

analyze244.0ms

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

simplify453.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

prune4.0ms

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: 0.1b

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

rewrite42.0ms

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×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
3×	`times-frac` `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` `div-inv` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(* m (- 1.0 m))
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series47.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
5.0ms	(* m (- 1.0 m))
8.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
28.0ms	(/ (* m (- 1.0 m)) v)

simplify58.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	400	725
1	1959	665
2	5002	653

prune149.0ms

Filtered

72 candidates to 109 candidates (-51.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0b

Counts

110 → 8

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))
0.1b	(/ 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×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 191

Calls

4 calls:

28.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
32.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify93.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	699	1623
1	3448	1558
2	5002	1557

prune271.0ms

Filtered

152 candidates to 203 candidates (-33.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	201	2	203
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	203	8	211

Merged error: 0b

Counts

211 → 8

localize11.0ms

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

rewrite232.0ms

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×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`pow-flip` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 432

Calls

4 calls:

6.0ms	(/ 1 (- 1.0 m))
89.0ms	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
92.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
16.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify90.0ms

Algorithm

egg-herbie

Counts

444 → 444

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1879	4920
1	5001	4519

prune560.0ms

Filtered

254 candidates to 444 candidates (-74.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	444	0	444
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	444	8	452

Merged error: 0b

Counts

452 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
43×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
34×	`add-exp-log`
28×	`add-cube-cbrt`
22×	`add-cbrt-cube`
14×	`associate-*r/` `div-exp`
12×	`flip3--` `flip--`
11×	`associate-l` `associate-/r/`
10×	`associate-r` `associate-/r*`
9×	`pow1`
7×	`cbrt-undiv` `div-inv`
6×	`prod-exp` `associate-/l*`
5×	`difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `cbrt-unprod` `distribute-lft-out--` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 150

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
22.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
6.0ms	(/ v (* m (- 1.0 m)))
9.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* m (- 1.0 m))
10.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
9.0ms	(/ v (* m (- 1.0 m)))
8.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify78.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	602	1174
1	3072	1012
2	5002	999

prune148.0ms

Filtered

92 candidates to 162 candidates (-76.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	162	8	170

Merged error: 0b

Counts

170 → 8

regimes164.0ms

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	10	6
1	10	6

end0.0ms

analyze47.0ms

Algorithm: search

sample549.0ms

Algorithm

intervals

Results

258.0ms	8000×	body	80	valid
160.0ms	8059×	pre	80	true
2.0ms	59×	body	80	invalid

Details

analyze244.0ms

sample23.0ms

simplify453.0ms

prune4.0ms

localize10.0ms

rewrite42.0ms

series47.0ms

simplify58.0ms

prune149.0ms

localize7.0ms

rewrite83.0ms

series23.0ms

simplify93.0ms

prune271.0ms

localize11.0ms

rewrite232.0ms

series20.0ms

simplify90.0ms

prune560.0ms

localize8.0ms

rewrite49.0ms

series31.0ms

simplify78.0ms

prune148.0ms

regimes164.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze47.0ms

sample549.0ms

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