Details

analyze61.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

sample17.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 70

Calls

2 calls:

5.0ms	(/ y (+ y 1.0))
9.0ms	(* x (/ y (+ y 1.0)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify59.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5485	665

prune82.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ y 1.0))
7.6b	(* (* x y) (/ 1 (+ y 1.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
28×	`add-exp-log`
24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`associate-r`
16×	`add-cbrt-cube`
12×	`prod-exp`
8×	`pow1`
7×	`distribute-lft-out`
6×	`div-exp` `cbrt-unprod`
4×	`associate-/r*` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-/l*`
2×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `associate-l` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 80

Calls

2 calls:

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

series9.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/ 1 (+ y 1.0))
7.0ms	(* (* x y) (/ 1 (+ y 1.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5308	699

prune72.0ms

Filtered

45 candidates to 86 candidates (-91.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Merged error: 0b

Counts

89 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

74×	`sqrt-prod`
63×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
51×	`times-frac`
42×	`associate-r`
39×	`add-cube-cbrt`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
7×	`sqrt-div`
4×	`rem-sqrt-square` `flip3-+` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 138

Calls

4 calls:

5.0ms	(sqrt (/ y (+ y 1.0)))
5.0ms	(sqrt (/ y (+ y 1.0)))
10.0ms	(* x (sqrt (/ y (+ y 1.0))))
15.0ms	(* (* x (sqrt (/ y (+ y 1.0)))) (sqrt (/ y (+ y 1.0))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (/ y (+ y 1.0)))
4.0ms	(sqrt (/ y (+ y 1.0)))
11.0ms	(* x (sqrt (/ y (+ y 1.0))))
10.0ms	(* (* x (sqrt (/ y (+ y 1.0)))) (sqrt (/ y (+ y 1.0))))

simplify45.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5019	1641

prune205.0ms

Filtered

106 candidates to 150 candidates (-41.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	150	3	153

Merged error: 0b

Counts

153 → 3

regimes74.0ms

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

sample311.0ms

Algorithm

intervals

Results

186.0ms

8000×

body

valid

Details

analyze61.0ms

sample17.0ms

simplify3.0ms

prune8.0ms

localize5.0ms

rewrite15.0ms

series9.0ms

simplify59.0ms

prune82.0ms

localize6.0ms

rewrite17.0ms

series9.0ms

simplify55.0ms

prune72.0ms

localize9.0ms

rewrite41.0ms

series28.0ms

simplify45.0ms

prune205.0ms

regimes74.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample311.0ms

Profiling