Details

analyze33.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

prune2.0ms

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
16×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
4×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

7.0ms

(/ (+ x y) (+ y 1.0))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (+ x y) (+ y 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5052	477

prune45.0ms

Filtered

28 candidates to 43 candidates (-53.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sqrt (+ y 1.0)))
0.1b	(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))))
0.1b	(/ (+ x y) (sqrt (+ y 1.0)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

135×	`*-un-lft-identity`
120×	`times-frac`
113×	`add-sqr-sqrt`
75×	`sqrt-prod`
67×	`add-cube-cbrt`
34×	`associate-r`
31×	`add-exp-log` `distribute-lft-out`
27×	`associate-l`
19×	`add-cbrt-cube`
15×	`unswap-sqr`
14×	`associate-/r*`
11×	`div-exp`
8×	`sqrt-div` `prod-exp` `associate-/r/`
7×	`pow1` `associate-/l*`
6×	`cbrt-undiv`
5×	`flip3-+` `flip-+`
4×	`cbrt-unprod` `div-inv`
3×	`rec-exp` `pow-flip` `1-exp` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

3 → 206

Calls

3 calls:

6.0ms	(/ 1 (sqrt (+ y 1.0)))
28.0ms	(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))))
9.0ms	(/ (+ x y) (sqrt (+ y 1.0)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ 1 (sqrt (+ y 1.0)))
5.0ms	(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))))
14.0ms	(/ (+ x y) (sqrt (+ y 1.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4962	2854
1	4962	2854

prune232.0ms

Filtered

111 candidates to 215 candidates (-93.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	215	3	218

Merged error: 0b

Counts

218 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
60×	`times-frac`
54×	`add-sqr-sqrt`
45×	`sqrt-prod`
38×	`add-cube-cbrt`
34×	`associate-r`
25×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l` `associate-/l*`
6×	`sqrt-div` `unswap-sqr`
5×	`flip3-+` `flip-+`
4×	`pow1` `associate-/r*` `associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 120

Calls

2 calls:

7.0ms	(/ (sqrt (+ x y)) (+ y 1.0))
18.0ms	(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y 1.0)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(/ (sqrt (+ x y)) (+ y 1.0))
9.0ms	(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y 1.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4979	1610
1	4979	1610

prune94.0ms

Filtered

72 candidates to 126 candidates (-75.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Merged error: 0b

Counts

129 → 3

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample282.0ms

Algorithm

intervals

Results

168.0ms

8000×

body

valid

Details

analyze33.0ms

sample11.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite8.0ms

series6.0ms

simplify49.0ms

prune45.0ms

localize9.0ms

rewrite53.0ms

series24.0ms

simplify68.0ms

prune232.0ms

localize6.0ms

rewrite33.0ms

series20.0ms

simplify55.0ms

prune94.0ms

regimes103.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample282.0ms

Profiling