Details

analyze232.0ms

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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify187.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (185.0ms)

Iter	Nodes	Cost
0	5059	9

prune3.0ms

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: 7.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
7.9b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
30×	`times-frac`
14×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 64

Calls

2 calls:

6.0ms	(- 1.0 (/ y z))
10.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(- 1.0 (/ y z))
13.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5499	923

prune135.0ms

Filtered

47 candidates to 70 candidates (-48.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	59	11	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	12	71

Merged error: 5.9b

Counts

71 → 12

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.0b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

232×	`times-frac`
200×	`add-sqr-sqrt`
196×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
22×	`distribute-lft-out--`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

3 → 209

Calls

3 calls:

6.0ms	(- 1.0 (/ y z))
15.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series30.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- 1.0 (/ y z))
17.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify80.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5149	3558

prune252.0ms

Filtered

122 candidates to 218 candidates (-78.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	215	3	218
Fresh	6	4	10
Picked	0	1	1
Done	1	0	1
Total	222	8	230

Merged error: 0.0b

Counts

230 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (+ y x)) (/ y (* z (+ y x))))
0.0b	(* z (+ y x))
0.2b	(/ 1 (- (/ 1.0 (+ y x)) (/ y (* z (+ y x)))))
9.9b	(/ y (* z (+ y x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

16.0ms	(- (/ 1.0 (+ y x)) (/ y (* z (+ y x))))
6.0ms	(* z (+ y x))
16.0ms	(/ 1 (- (/ 1.0 (+ y x)) (/ y (* z (+ y x)))))
6.0ms	(/ y (* z (+ y x)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (/ 1.0 (+ y x)) (/ y (* z (+ y x))))
6.0ms	(* z (+ y x))
17.0ms	(/ 1 (- (/ 1.0 (+ y x)) (/ y (* z (+ y x)))))
9.0ms	(/ y (* z (+ y x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4989	1926
1	4989	1926

prune174.0ms

Filtered

85 candidates to 129 candidates (-51.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	128	9	137

Merged error: 0.0b

Counts

137 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ y x))
0.0b	(- (/ 1.0 (+ y x)) (* (/ 1 z) (/ y (+ y x))))
0.2b	(/ 1 (- (/ 1.0 (+ y x)) (* (/ 1 z) (/ y (+ y x)))))
1.4b	(* (/ 1 z) (/ y (+ y x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
49×	`times-frac`
36×	`add-cube-cbrt`
32×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-r`
13×	`associate-l`
11×	`div-exp`
10×	`associate-/r/`
8×	`prod-exp`
7×	`pow1` `associate-/r*` `distribute-lft-out`
6×	`cbrt-undiv` `frac-sub` `associate-/l*` `add-log-exp` `unswap-sqr`
5×	`associate-*r/`
4×	`cbrt-unprod` `div-inv`
3×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
2×	`flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `sub-div`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 146

Calls

4 calls:

5.0ms	(/ y (+ y x))
9.0ms	(- (/ 1.0 (+ y x)) (* (/ 1 z) (/ y (+ y x))))
10.0ms	(/ 1 (- (/ 1.0 (+ y x)) (* (/ 1 z) (/ y (+ y x)))))
13.0ms	(* (/ 1 z) (/ y (+ y x)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ y (+ y x))
18.0ms	(- (/ 1.0 (+ y x)) (* (/ 1 z) (/ y (+ y x))))
17.0ms	(/ 1 (- (/ 1.0 (+ y x)) (* (/ 1 z) (/ y (+ y x)))))
8.0ms	(* (/ 1 z) (/ y (+ y x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5184	1868

prune161.0ms

Filtered

106 candidates to 158 candidates (-49.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	158	9	167

Merged error: 0.0b

Counts

167 → 9

regimes232.0ms

Accuracy

54.2% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 7.0b

bsearch31.0ms

Steps

Iters	Range		Point
9	3.834805188539316e+199	3.535890549999744e+205	3.908659846703717e+199
9	-2.808401655820881e+119	-1.3902965040028152e+110	-1.9104075020926874e+116

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	136	43
1	136	43

end0.0ms

sample418.0ms

Algorithm

intervals

Results

248.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid

Details

analyze232.0ms

sample17.0ms

simplify187.0ms

prune3.0ms

localize7.0ms

rewrite18.0ms

series16.0ms

simplify47.0ms

prune135.0ms

localize7.0ms

rewrite43.0ms

series30.0ms

simplify80.0ms

prune252.0ms

localize8.0ms

rewrite48.0ms

series47.0ms

simplify57.0ms

prune174.0ms

localize12.0ms

rewrite42.0ms

series48.0ms

simplify58.0ms

prune161.0ms

regimes232.0ms

bsearch31.0ms

simplify2.0ms

end0.0ms

sample418.0ms

Profiling