Details

sample321.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 87.530532%

Space saved by search: 92.701663%

Guaranteed chance to sample good point: 98.446217%

Results

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

simplify436.0ms

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

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

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)

series28.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* m (- 1.0 m))
8.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)

simplify57.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	389	602
1	1946	551
2	5003	545

prune133.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

6.0ms	(* m (- (* 1.0 1.0) (* m m)))
6.0ms	(* v (+ 1.0 m))
17.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
11.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* m (- (* 1.0 1.0) (* m m)))
5.0ms	(* v (+ 1.0 m))
12.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
12.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

simplify98.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	574	1110
1	3496	973
2	5001	973

prune152.0ms

Filtered

78 candidates to 119 candidates (-52.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	119	6	125

Merged error: 0b

Counts

125 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 100

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
15.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
10.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series20.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify72.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	514	773
1	2789	690
2	5001	672

prune117.0ms

Filtered

66 candidates to 109 candidates (-65.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	109	6	115

Merged error: 0b

Counts

115 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 108

Calls

3 calls:

6.0ms	(/ (- 1.0 m) v)
13.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
10.0ms	(* m (/ (- 1.0 m) v))

series22.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (- 1.0 m) v)
9.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
6.0ms	(* m (/ (- 1.0 m) v))

simplify62.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	456	768
1	2212	714
2	5001	708

prune123.0ms

Filtered

78 candidates to 117 candidates (-50.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	117	6	123

Merged error: 0b

Counts

123 → 6

regimes99.0ms

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	17	10
1	17	10

end0.0ms

sample740.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 87.530532%

Space saved by search: 92.701663%

Guaranteed chance to sample good point: 98.446217%

Results

279.0ms	8000×	body	80	valid
158.0ms	8030×	pre	80	true
1.0ms	30×	body	80	invalid

Details

sample321.0ms

simplify436.0ms

prune4.0ms

localize21.0ms

rewrite34.0ms

series28.0ms

simplify57.0ms

prune133.0ms

localize12.0ms

rewrite43.0ms

series36.0ms

simplify98.0ms

prune152.0ms

localize8.0ms

rewrite35.0ms

series20.0ms

simplify72.0ms

prune117.0ms

localize7.0ms

rewrite32.0ms

series22.0ms

simplify62.0ms

prune123.0ms

regimes99.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample740.0ms

Profiling