Details

analyze245.0ms

Algorithm

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify559.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4718	11
1	4718	11

prune11.0ms

Filtered

1 candidates to 1 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: 0.2b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.0b	(- (* m (/ (- 1.0 m) v)) 1.0)
0.2b	(* m (- (* m (/ (- 1.0 m) v)) 1.0))
0.3b	(* m (/ (- 1.0 m) v))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

6.0ms	(/ (- 1.0 m) v)
7.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
10.0ms	(* m (- (* m (/ (- 1.0 m) v)) 1.0))
11.0ms	(* m (/ (- 1.0 m) v))

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (- 1.0 m) v)
5.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
8.0ms	(* m (- (* m (/ (- 1.0 m) v)) 1.0))
14.0ms	(* m (/ (- 1.0 m) v))

simplify65.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5106	1217

prune178.0ms

Filtered

82 candidates to 121 candidates (-47.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	9	121
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	113	10	123

Merged error: 0.0b

Counts

123 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.0b	(+ (* m (* m (/ (- 1.0 m) v))) (* m (neg 1.0)))
0.2b	(* m (* m (/ (- 1.0 m) v)))
0.3b	(* m (/ (- 1.0 m) v))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

5.0ms	(/ (- 1.0 m) v)
12.0ms	(+ (* m (* m (/ (- 1.0 m) v))) (* m (neg 1.0)))
9.0ms	(* m (* m (/ (- 1.0 m) v)))
9.0ms	(* m (/ (- 1.0 m) v))

series24.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (- 1.0 m) v)
7.0ms	(+ (* m (* m (/ (- 1.0 m) v))) (* m (neg 1.0)))
6.0ms	(* m (* m (/ (- 1.0 m) v)))
5.0ms	(* m (/ (- 1.0 m) v))

simplify61.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4969	1190
1	4969	1190

prune143.0ms

Filtered

80 candidates to 122 candidates (-52.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	8	1	9
Picked	0	1	1
Done	0	0	0
Total	126	6	132

Merged error: 0.0b

Counts

132 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
0.0b	(- (/ m (/ v m)) m)
0.2b	(/ m (/ v m))
8.5b	(/ (pow m 3) v)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
80×	`add-sqr-sqrt`
74×	`*-un-lft-identity`
71×	`add-cube-cbrt`
16×	`associate-/r*`
15×	`associate-/l*`
14×	`add-exp-log`
12×	`unpow-prod-down` `cube-prod`
11×	`add-cbrt-cube`
8×	`add-log-exp`
6×	`div-exp` `div-inv`
4×	`pow1` `cbrt-undiv` `cube-mult` `sub-neg` `unpow3` `sqr-pow`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`frac-2neg` `diff-log` `associate-*r/` `associate--l+` `clear-num` `associate-/r/` `frac-sub`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-rgt-out--` `distribute-lft-in` `pow-exp` `distribute-lft-out--`

Counts

4 → 166

Calls

4 calls:

24.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
15.0ms	(- (/ m (/ v m)) m)
5.0ms	(/ m (/ v m))
5.0ms	(/ (pow m 3) v)

series18.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
4.0ms	(- (/ m (/ v m)) m)
3.0ms	(/ m (/ v m))
3.0ms	(/ (pow m 3) v)

simplify59.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4983	1838
1	4983	1838

prune182.0ms

Filtered

114 candidates to 178 candidates (-56.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	180	4	184

Merged error: 0.0b

Counts

184 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (* (pow m 3) (/ 1 v)))
0.0b	(- (/ m (/ v m)) m)
0.2b	(/ m (/ v m))
8.5b	(* (pow m 3) (/ 1 v))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

95×	`times-frac`
90×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
56×	`add-cube-cbrt`
32×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`associate-r` `associate-/r*`
12×	`associate-l` `prod-exp` `unswap-sqr`
9×	`div-exp`
8×	`add-log-exp`
7×	`associate-*r/`
6×	`unpow-prod-down` `cube-prod` `div-inv`
4×	`pow1` `cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `pow-exp` `frac-sub` `flip--` `sqr-pow`
3×	`rec-exp` `1-exp` `un-div-inv` `associate-/l*` `difference-of-squares`
2×	`diff-log` `associate--l+` `associate-/r/` `cbrt-unprod`
1×	`distribute-rgt-in` `cube-mult` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `unpow3` `clear-num` `*-commutative` `distribute-lft-out--`

Counts

4 → 164

Calls

4 calls:

17.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (* (pow m 3) (/ 1 v)))
15.0ms	(- (/ m (/ v m)) m)
5.0ms	(/ m (/ v m))
9.0ms	(* (pow m 3) (/ 1 v))

series20.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (* (pow m 3) (/ 1 v)))
4.0ms	(- (/ m (/ v m)) m)
6.0ms	(/ m (/ v m))
4.0ms	(* (pow m 3) (/ 1 v))

simplify59.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4982	1848
1	4982	1848

prune174.0ms

Filtered

115 candidates to 176 candidates (-53.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	176	4	180

Merged error: 0.0b

Counts

180 → 4

regimes80.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	72	17
1	72	17

end0.0ms

sample537.0ms

Algorithm

intervals

Results

250.0ms	8000×	body	80	valid
156.0ms	8059×	pre	80	true
2.0ms	59×	body	80	invalid

Details

analyze245.0ms

sample23.0ms

simplify559.0ms

prune11.0ms

localize9.0ms

rewrite38.0ms

series31.0ms

simplify65.0ms

prune178.0ms

localize9.0ms

rewrite38.0ms

series24.0ms

simplify61.0ms

prune143.0ms

localize10.0ms

rewrite55.0ms

series18.0ms

simplify59.0ms

prune182.0ms

localize11.0ms

rewrite54.0ms

series20.0ms

simplify59.0ms

prune174.0ms

regimes80.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample537.0ms

Profiling