Details

sample286.0ms

Algorithm

intervals

Results

11.0ms	446×	body	80	valid
7.0ms	446×	pre	80	true

simplify93.0ms

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

rewrite72.0ms

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:

31.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(* m (- 1.0 m))
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)

series150.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
43.0ms	(* m (- 1.0 m))
40.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
45.0ms	(/ (* m (- 1.0 m)) v)

simplify99.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	583	1692
1	2838	1209
2	5002	1196

prune234.0ms

Filtered

181 candidates to 93 candidates (51.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	174	7	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	7	182

Merged error: 0b

Counts

182 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

576×	`times-frac`
476×	`add-sqr-sqrt`
460×	`*-un-lft-identity`
350×	`add-cube-cbrt`
222×	`prod-diff`
68×	`fma-neg`
59×	`difference-of-squares`
55×	`distribute-lft-out--`
39×	`associate-/r/`
26×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-l`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u`
3×	`sub-neg`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 489

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
35.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
8.0ms	(/ m (/ v (- 1.0 m)))
31.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series135.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ v (- 1.0 m))
25.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
36.0ms	(/ m (/ v (- 1.0 m)))
40.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify92.0ms

Algorithm

egg-herbie

Counts

501 → 501

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1224	6304
1	5001	4818

prune650.0ms

Filtered

501 candidates to 267 candidates (53.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	500	1	501
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	502	6	508

Merged error: 0b

Counts

508 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

2880×	`times-frac`
1768×	`add-sqr-sqrt`
1732×	`*-un-lft-identity`
1406×	`add-cube-cbrt`
636×	`prod-diff`
206×	`fma-neg`
171×	`difference-of-squares`
161×	`distribute-lft-out--`
109×	`associate-/r/`
76×	`div-inv`
70×	`associate-/r*`
59×	`flip3--` `flip--`
32×	`add-exp-log`
24×	`associate-/l*`
20×	`add-cbrt-cube`
18×	`div-exp`
12×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`cbrt-undiv`
7×	`pow1`
6×	`add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u`
3×	`sub-neg` `rec-exp` `1-exp`
2×	`frac-2neg` `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 → 1310

Calls

4 calls:

91.0ms	(- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0)
12.0ms	(/ (/ v (- 1.0 m)) m)
72.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) (- 1.0 m))
18.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

series156.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0)
39.0ms	(/ (/ v (- 1.0 m)) m)
45.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) (- 1.0 m))
44.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

simplify248.0ms

Algorithm

egg-herbie

Counts

1322 → 1322

Iterations

Useful iterations: 1 (63.0ms)

Iter	Nodes	Cost
0	3008	20883
1	5001	15724

prune1.3s

Filtered

1322 candidates to 489 candidates (37.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1322	0	1322
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	1322	6	1328

Merged error: 0b

Counts

1328 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

21.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
12.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
9.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
9.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

series813.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
199.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
208.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
209.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

simplify133.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	318	1637
1	978	1558
2	4668	1454
3	5001	1454

prune260.0ms

Filtered

121 candidates to 89 candidates (73.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	121	6	127

Merged error: 0b

Counts

127 → 6

regimes48.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample731.0ms

Algorithm

intervals

Results

324.0ms	13804×	body	80	valid
182.0ms	13804×	pre	80	true

Details

sample286.0ms

simplify93.0ms

prune4.0ms

localize9.0ms

rewrite72.0ms

series150.0ms

simplify99.0ms

prune234.0ms

localize7.0ms

rewrite112.0ms

series135.0ms

simplify92.0ms

prune650.0ms

localize8.0ms

rewrite332.0ms

series156.0ms

simplify248.0ms

prune1.3s

localize11.0ms

rewrite54.0ms

series813.0ms

simplify133.0ms

prune260.0ms

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample731.0ms

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