Details

sample293.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 92.708788%

Space saved by search: 87.542707%

Guaranteed chance to sample good point: 0%

Results

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify473.0ms

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

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

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

rewrite47.0ms

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))
17.0ms	(/ (* m (- 1.0 m)) v)
12.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series33.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (39.0ms)

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

prune137.0ms

Filtered

63 candidates to 97 candidates (-54.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	9	98

Merged error: 0b

Counts

98 → 9

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

rewrite74.0ms

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:

26.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
8.0ms	(/ m (/ v (- 1.0 m)))
27.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series25.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
6.0ms	(/ 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 (62.0ms)

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

prune235.0ms

Filtered

142 candidates to 191 candidates (-34.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	192	8	200

Merged error: 0b

Counts

200 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

783×	`times-frac`
467×	`add-sqr-sqrt`
448×	`*-un-lft-identity`
338×	`add-cube-cbrt`
75×	`associate-/r*`
59×	`difference-of-squares`
54×	`distribute-lft-out--`
35×	`associate-/r/`
34×	`add-exp-log`
27×	`associate-/l*`
24×	`div-inv`
22×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
12×	`associate-l`
10×	`cbrt-undiv`
7×	`pow1`
4×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-r` `clear-num`
2×	`associate-*l/`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 464

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
11.0ms	(/ (/ v (- 1.0 m)) m)
67.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
17.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

series37.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ v (- 1.0 m))
7.0ms	(/ (/ v (- 1.0 m)) m)
11.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
8.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

simplify77.0ms

Algorithm

egg-herbie

Counts

476 → 476

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1585	4801
1	5001	3948

prune452.0ms

Filtered

252 candidates to 476 candidates (-88.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	476	0	476
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	476	8	484

Merged error: 0b

Counts

484 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ 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))
7.0ms	(/ (- 1.0 m) (sqrt v))
22.0ms	(* (/ 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))
9.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify86.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 2 (69.0ms)

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

prune188.0ms

Filtered

136 candidates to 212 candidates (-55.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	212	8	220

Merged error: 0b

Counts

220 → 8

regimes158.0ms

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

sample585.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 92.708788%

Space saved by search: 87.542707%

Guaranteed chance to sample good point: 0%

Results

235.0ms	8000×	body	80	valid
149.0ms	8023×	pre	80	true
1.0ms	23×	body	80	invalid

Details

sample293.0ms

simplify473.0ms

prune4.0ms

localize9.0ms

rewrite47.0ms

series33.0ms

simplify47.0ms

prune137.0ms

localize7.0ms

rewrite74.0ms

series25.0ms

simplify82.0ms

prune235.0ms

localize8.0ms

rewrite135.0ms

series37.0ms

simplify77.0ms

prune452.0ms

localize9.0ms

rewrite59.0ms

series34.0ms

simplify86.0ms

prune188.0ms

regimes158.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample585.0ms

Profiling