Details

sample320.0ms

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	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify443.0ms

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 4 expressions with local error:

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

rewrite41.0ms

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:

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

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* m (- 1.0 m))
5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
14.0ms	(/ (* m (- 1.0 m)) v)

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (49.0ms)

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

prune132.0ms

Filtered

72 candidates to 109 candidates (-51.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	4	110

Merged error: 0.0b

Counts

110 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

10.0ms	(- (/ (+ (* 1.0 m) (* (neg m) m)) v) 1.0)
3.0ms	(+ (* 1.0 m) (* (neg m) m))
15.0ms	(* (- (/ (+ (* 1.0 m) (* (neg m) m)) v) 1.0) (- 1.0 m))
6.0ms	(/ (+ (* 1.0 m) (* (neg m) m)) v)

series24.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify56.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	429	1079
1	1971	964
2	5001	949

prune137.0ms

Filtered

82 candidates to 113 candidates (-37.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

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

4 → 12

Calls

4 calls:

5.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
4.0ms	(/ (- 1.0 m) v)
7.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
5.0ms	(* m (/ (- 1.0 m) v))

simplify66.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	465	875
1	2224	812
2	5003	800

prune140.0ms

Filtered

90 candidates to 132 candidates (-46.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	132	4	136

Merged error: 0.0b

Counts

136 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

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

series28.0ms

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))
6.0ms	(/ v (* m (- 1.0 m)))
8.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify82.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (65.0ms)

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

prune146.0ms

Filtered

94 candidates to 162 candidates (-72.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	162	4	166

Merged error: 0.0b

Counts

166 → 4

regimes79.0ms

Accuracy

0% (0.0b 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	8
1	17	8

end0.0ms

sample694.0ms

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

252.0ms	8000×	body	80	valid
151.0ms	8027×	pre	80	true
1.0ms	27×	body	80	invalid

Details

sample320.0ms

simplify443.0ms

prune4.0ms

localize21.0ms

rewrite41.0ms

series31.0ms

simplify59.0ms

prune132.0ms

localize10.0ms

rewrite40.0ms

series24.0ms

simplify56.0ms

prune137.0ms

localize6.0ms

rewrite38.0ms

series22.0ms

simplify66.0ms

prune140.0ms

localize8.0ms

rewrite50.0ms

series28.0ms

simplify82.0ms

prune146.0ms

regimes79.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample694.0ms

Profiling