Details

analyze121.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

sample15.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5108	11

prune8.0ms

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (+ (/ x y) 1.0) (+ x 1.0))
0.2b	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
33×	`times-frac`
28×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
22×	`associate-r`
19×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-/r` `associate-/r/` `flip-+` `associate-/l`
3×	`associate-l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

3 → 93

Calls

3 calls:

9.0ms	(+ (/ x y) 1.0)
10.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
15.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series15.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (/ x y) 1.0)
6.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5061	1226

prune143.0ms

Filtered

65 candidates to 102 candidates (-56.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	92	10	102
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Merged error: 0.0b

Counts

104 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b	(* x (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

266×	`times-frac`
260×	`*-un-lft-identity`
138×	`add-sqr-sqrt`
124×	`add-cube-cbrt`
71×	`associate-r`
67×	`distribute-lft-out`
36×	`add-exp-log`
26×	`associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`flip3-+` `flip-+` `div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp` `associate-/l*`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 264

Calls

4 calls:

7.0ms	(+ (/ x y) 1.0)
13.0ms	(/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
29.0ms	(* x (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (/ x y) 1.0)
5.0ms	(/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0)))
8.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
7.0ms	(* x (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify78.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4970	3927
1	4970	3927

prune330.0ms

Filtered

156 candidates to 276 candidates (-76.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	273	3	276
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	276	10	286

Merged error: 0b

Counts

286 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
146×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 158

Calls

3 calls:

7.0ms	(+ (/ x y) 1.0)
17.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
11.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series18.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (/ x y) 1.0)
7.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
8.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5005	2760

prune204.0ms

Filtered

109 candidates to 167 candidates (-53.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	167	10	177

Merged error: 0b

Counts

177 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x 1.0))
0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
8.3b	(* (* x (+ (/ x y) 1.0)) (/ 1 (+ x 1.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
32×	`add-exp-log`
25×	`add-sqr-sqrt`
24×	`times-frac`
23×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
9×	`distribute-lft-out`
7×	`associate-*r/` `cbrt-unprod`
6×	`flip3-+` `div-exp` `flip-+` `add-log-exp`
4×	`associate-l` `pow-prod-down` `associate-/r*` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `sum-log` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

5.0ms	(/ 1 (+ x 1.0))
7.0ms	(+ (/ x y) 1.0)
9.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(* (* x (+ (/ x y) 1.0)) (/ 1 (+ x 1.0)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (+ x 1.0))
3.0ms	(+ (/ x y) 1.0)
4.0ms	(* x (+ (/ x y) 1.0))
9.0ms	(* (* x (+ (/ x y) 1.0)) (/ 1 (+ x 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4985	1278
1	4985	1278

prune111.0ms

Filtered

74 candidates to 131 candidates (-77.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	131	10	141

Merged error: 0b

Counts

141 → 10

regimes126.0ms

Accuracy

0% (0.1b 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	10	11
1	10	11

end0.0ms

sample390.0ms

Algorithm

intervals

Results

251.0ms	8000×	body	80	valid
8.0ms	267×	body	80	invalid

Details

analyze121.0ms

sample15.0ms

simplify98.0ms

prune8.0ms

localize6.0ms

rewrite38.0ms

series15.0ms

simplify55.0ms

prune143.0ms

localize8.0ms

rewrite75.0ms

series23.0ms

simplify78.0ms

prune330.0ms

localize7.0ms

rewrite42.0ms

series18.0ms

simplify69.0ms

prune204.0ms

localize8.0ms

rewrite41.0ms

series18.0ms

simplify45.0ms

prune111.0ms

regimes126.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample390.0ms

Profiling